1. Table of Contents


This project implements different Univariate Filters in selecting informative predictors for a modelling problem using various helpful packages in R. Using the Linear Discriminant Analysis, Random Forest and Naive Bayes model structures, feature selection methods applied in the analysis included the P-Value Threshold with Bonferroni Correction and Correlation Cutoff. The resulting predictions derived from the candidate models applying various Univariate Filters were evaluated in terms of their discrimination power using the receiver operating characteristic (ROC) curve area under the curve (AUC) metric. The AUROC values were compared to those of the baseline models which made use of the full data without any form of feature selection, or implemented a model-specific feature selection process. All results were consolidated in a Summary presented at the end of the document.

Feature selection is the process of reducing the number of input variables by eliminating redundant or unimportant features and narrowing down the set of features to those most relevant to the machine learning approach, resulting to simpler explainable models, shorter training times due to a more precise subset of features, reduction of variance, increase in precision estimates and more robust solution against the curse of high dimensionality. The algorithms applied in this study (mostly contained in the caret package) are wrapper feature selection methods which attempt to consider the task of selecting feature subsets as a search problem, whereby their quality is assessed with the preparation, evaluation, and comparison between different feature combinations.

1.1 Sample Data


The AlzheimerDisease dataset from the AppliedPredictiveModeling package was used for this illustrated example.

Preliminary dataset assessment:

[A] 333 rows (observations)
     [A.1] Train Set = 267 observations
     [A.2] Test Set = 66 observations

[B] 128 columns (variables)
     [B.1] 1/128 response = Class variable (factor)
            [B.1.1] Levels = Class=Control < Class=Impaired
     [B.2] 127/128 predictors = All remaining variables (3/127 factor + 124/127 numeric)

Code Chunk | Output
##################################
# Loading R libraries
##################################
library(AppliedPredictiveModeling)
library(caret)
library(rpart)
library(lattice)
library(dplyr)
library(tidyr)
library(moments)
library(skimr)
library(RANN)
library(pls)
library(corrplot)
library(tidyverse)
library(lares)
library(DMwR2)
library(gridExtra)
library(rattle)
library(rpart.plot)
library(RColorBrewer)
library(stats)
library(nnet)
library(elasticnet)
library(earth)
library(party)
library(kernlab)
library(randomForest)
library(Cubist)
library(pROC)
library(mda)
library(klaR)
library(pamr)

##################################
# Loading source and
# formulating the train set
##################################
data(AlzheimerDisease)
Alzheimer <- predictors
Alzheimer$Class <- diagnosis

##################################
# Decomposing the Genotype factor
# into binary dummy variables
##################################

## Decompose the genotype factor into binary dummy variables

Alzheimer$E2 <- Alzheimer$E3 <- Alzheimer$E4 <- 0
Alzheimer$E2[grepl("2", Alzheimer$Genotype)] <- 1
Alzheimer$E3[grepl("3", Alzheimer$Genotype)] <- 1
Alzheimer$E4[grepl("4", Alzheimer$Genotype)] <- 1
Alzheimer_Original <- Alzheimer

##################################
# Removing baseline predictors
##################################
Alzheimer <- Alzheimer[,!(names(Alzheimer) %in% c("Genotype", "age", "tau", "p_tau", "Ab_42", "male"))]

##################################
# Partitoning the data into
# train and test sets
##################################
set.seed(12345678)
Alzheimer_Train_Index <- createDataPartition(Alzheimer$Class,p=0.8)[[1]]
Alzheimer_Train <- Alzheimer[ Alzheimer_Train_Index, ]
Alzheimer_Test  <- Alzheimer[-Alzheimer_Train_Index, ]

##################################
# Performing a general exploration of the train set
##################################
dim(Alzheimer_Train)
## [1] 267 128
str(Alzheimer_Train)
## 'data.frame':    267 obs. of  128 variables:
##  $ ACE_CD143_Angiotensin_Converti  : num  2.003 1.562 1.521 2.401 0.431 ...
##  $ ACTH_Adrenocorticotropic_Hormon : num  -1.386 -1.386 -1.715 -0.968 -1.273 ...
##  $ AXL                             : num  1.098 0.683 -0.145 0.191 -0.222 ...
##  $ Adiponectin                     : num  -5.36 -5.02 -5.81 -4.78 -5.22 ...
##  $ Alpha_1_Antichymotrypsin        : num  1.74 1.46 1.19 2.13 1.31 ...
##  $ Alpha_1_Antitrypsin             : num  -12.6 -11.9 -13.6 -11.1 -12.1 ...
##  $ Alpha_1_Microglobulin           : num  -2.58 -3.24 -2.88 -2.34 -2.55 ...
##  $ Alpha_2_Macroglobulin           : num  -72.7 -154.6 -136.5 -144.9 -154.6 ...
##  $ Angiopoietin_2_ANG_2            : num  1.0647 0.7419 0.8329 0.9555 -0.0513 ...
##  $ Angiotensinogen                 : num  2.51 2.46 1.98 2.86 2.52 ...
##  $ Apolipoprotein_A_IV             : num  -1.43 -1.66 -1.66 -1.17 -1.39 ...
##  $ Apolipoprotein_A1               : num  -7.4 -7.05 -7.68 -6.73 -7.4 ...
##  $ Apolipoprotein_A2               : num  -0.2614 -0.8675 -0.6539 0.0953 -0.2744 ...
##  $ Apolipoprotein_B                : num  -4.62 -6.75 -3.98 -3.38 -2.96 ...
##  $ Apolipoprotein_CI               : num  -1.273 -1.273 -1.715 -0.755 -1.661 ...
##  $ Apolipoprotein_CIII             : num  -2.31 -2.34 -2.75 -1.51 -2.31 ...
##  $ Apolipoprotein_D                : num  2.08 1.34 1.34 1.63 1.92 ...
##  $ Apolipoprotein_E                : num  3.755 3.097 2.753 3.067 0.591 ...
##  $ Apolipoprotein_H                : num  -0.1573 -0.5754 -0.3448 0.6626 0.0972 ...
##  $ B_Lymphocyte_Chemoattractant_BL : num  2.3 1.67 1.67 2.3 2.48 ...
##  $ BMP_6                           : num  -2.2 -1.73 -2.06 -1.24 -1.88 ...
##  $ Beta_2_Microglobulin            : num  0.693 0.47 0.336 0.336 -0.545 ...
##  $ Betacellulin                    : int  34 53 49 67 51 41 42 58 32 43 ...
##  $ C_Reactive_Protein              : num  -4.07 -6.65 -8.05 -4.34 -7.56 ...
##  $ CD40                            : num  -0.796 -1.273 -1.242 -0.924 -1.784 ...
##  $ CD5L                            : num  0.0953 -0.6733 0.0953 0.3633 0.4055 ...
##  $ Calbindin                       : num  33.2 25.3 22.2 21.8 13.2 ...
##  $ Calcitonin                      : num  1.39 3.61 2.12 1.31 1.63 ...
##  $ CgA                             : num  398 466 348 443 138 ...
##  $ Clusterin_Apo_J                 : num  3.56 3.04 2.77 3.04 2.56 ...
##  $ Complement_3                    : num  -10.4 -16.1 -16.1 -12.8 -12 ...
##  $ Complement_Factor_H             : num  3.57 3.6 4.47 7.25 3.57 ...
##  $ Connective_Tissue_Growth_Factor : num  0.531 0.588 0.642 0.916 0.993 ...
##  $ Cortisol                        : num  10 12 10 11 13 4.9 13 12 6.8 12 ...
##  $ Creatine_Kinase_MB              : num  -1.71 -1.75 -1.38 -1.63 -1.67 ...
##  $ Cystatin_C                      : num  9.04 9.07 8.95 8.98 7.84 ...
##  $ EGF_R                           : num  -0.135 -0.37 -0.733 -0.621 -1.111 ...
##  $ EN_RAGE                         : num  -3.69 -3.82 -4.76 -2.36 -3.44 ...
##  $ ENA_78                          : num  -1.35 -1.36 -1.39 -1.34 -1.36 ...
##  $ Eotaxin_3                       : int  53 62 62 64 57 64 64 64 82 73 ...
##  $ FAS                             : num  -0.0834 -0.5276 -0.6349 -0.1278 -0.3285 ...
##  $ FSH_Follicle_Stimulation_Hormon : num  -0.652 -1.627 -1.563 -0.976 -1.683 ...
##  $ Fas_Ligand                      : num  3.1 2.98 1.36 4.04 2.41 ...
##  $ Fatty_Acid_Binding_Protein      : num  2.521 2.248 0.906 2.635 0.624 ...
##  $ Ferritin                        : num  3.33 3.93 3.18 2.69 1.85 ...
##  $ Fetuin_A                        : num  1.28 1.19 1.41 2.15 1.48 ...
##  $ Fibrinogen                      : num  -7.04 -8.05 -7.2 -6.98 -6.44 ...
##  $ GRO_alpha                       : num  1.38 1.37 1.41 1.4 1.4 ...
##  $ Gamma_Interferon_induced_Monokin: num  2.95 2.72 2.76 2.85 2.82 ...
##  $ Glutathione_S_Transferase_alpha : num  1.064 0.867 0.889 1.236 1.154 ...
##  $ HB_EGF                          : num  6.56 8.75 7.75 7.25 6.41 ...
##  $ HCC_4                           : num  -3.04 -4.07 -3.65 -3.15 -3.08 ...
##  $ Hepatocyte_Growth_Factor_HGF    : num  0.5878 0.5306 0.0953 0.5306 0.0953 ...
##  $ I_309                           : num  3.43 3.14 2.4 3.76 2.71 ...
##  $ ICAM_1                          : num  -0.1908 -0.462 -0.462 0.0972 -0.9351 ...
##  $ IGF_BP_2                        : num  5.61 5.35 5.18 5.42 5.06 ...
##  $ IL_11                           : num  5.12 4.94 4.67 7.07 6.1 ...
##  $ IL_13                           : num  1.28 1.27 1.27 1.31 1.28 ...
##  $ IL_16                           : num  4.19 2.88 2.62 4.74 2.67 ...
##  $ IL_17E                          : num  5.73 6.71 4.15 4.2 3.64 ...
##  $ IL_1alpha                       : num  -6.57 -8.05 -8.18 -6.94 -8.18 ...
##  $ IL_3                            : num  -3.24 -3.91 -4.65 -3 -3.86 ...
##  $ IL_4                            : num  2.48 2.4 1.82 2.71 1.21 ...
##  $ IL_5                            : num  1.099 0.693 -0.248 1.163 -0.4 ...
##  $ IL_6                            : num  0.2694 0.0962 0.1857 -0.072 0.1857 ...
##  $ IL_6_Receptor                   : num  0.6428 0.4312 0.0967 0.0967 -0.5173 ...
##  $ IL_7                            : num  4.81 3.71 1.01 4.29 2.78 ...
##  $ IL_8                            : num  1.71 1.68 1.69 1.76 1.71 ...
##  $ IP_10_Inducible_Protein_10      : num  6.24 5.69 5.05 6.37 5.48 ...
##  $ IgA                             : num  -6.81 -6.38 -6.32 -4.65 -5.81 ...
##  $ Insulin                         : num  -0.626 -0.943 -1.447 -0.3 -1.341 ...
##  $ Kidney_Injury_Molecule_1_KIM_1  : num  -1.2 -1.2 -1.19 -1.16 -1.12 ...
##  $ LOX_1                           : num  1.705 1.526 1.163 1.361 0.642 ...
##  $ Leptin                          : num  -1.529 -1.466 -1.662 -0.915 -1.361 ...
##  $ Lipoprotein_a                   : num  -4.27 -4.93 -5.84 -2.94 -4.51 ...
##  $ MCP_1                           : num  6.74 6.85 6.77 6.72 6.54 ...
##  $ MCP_2                           : num  1.981 1.809 0.401 2.221 2.334 ...
##  $ MIF                             : num  -1.24 -1.9 -2.3 -1.9 -2.04 ...
##  $ MIP_1alpha                      : num  4.97 3.69 4.05 6.45 4.6 ...
##  $ MIP_1beta                       : num  3.26 3.14 2.4 3.53 2.89 ...
##  $ MMP_2                           : num  4.48 3.78 2.87 3.69 2.92 ...
##  $ MMP_3                           : num  -2.21 -2.47 -2.3 -1.56 -3.04 ...
##  $ MMP10                           : num  -3.27 -3.65 -2.73 -2.62 -3.32 ...
##  $ MMP7                            : num  -3.774 -5.968 -4.03 -0.222 -1.922 ...
##  $ Myoglobin                       : num  -1.897 -0.755 -1.386 -1.772 -1.139 ...
##  $ NT_proBNP                       : num  4.55 4.22 4.25 4.47 4.19 ...
##  $ NrCAM                           : num  5 5.21 4.74 5.2 3.26 ...
##  $ Osteopontin                     : num  5.36 6 5.02 5.69 4.74 ...
##  $ PAI_1                           : num  1.0035 -0.0306 0.4384 0.2523 0.4384 ...
##  $ PAPP_A                          : num  -2.9 -2.81 -2.94 -2.94 -2.94 ...
##  $ PLGF                            : num  4.44 4.03 4.51 4.8 4.39 ...
##  $ PYY                             : num  3.22 3.14 2.89 3.66 3.33 ...
##  $ Pancreatic_polypeptide          : num  0.579 0.336 -0.892 0.262 -0.478 ...
##  $ Prolactin                       : num  0 -0.511 -0.139 0.182 -0.151 ...
##  $ Prostatic_Acid_Phosphatase      : num  -1.62 -1.74 -1.64 -1.7 -1.76 ...
##  $ Protein_S                       : num  -1.78 -2.46 -2.26 -1.66 -2.36 ...
##  $ Pulmonary_and_Activation_Regulat: num  -0.844 -2.303 -1.661 -0.562 -1.171 ...
##  $ RANTES                          : num  -6.21 -6.94 -6.65 -6.32 -6.5 ...
##  $ Resistin                        : num  -16.5 -16 -16.5 -11.1 -11.3 ...
##   [list output truncated]
summary(Alzheimer_Train)
##  ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon
##  Min.   :-0.6756                Min.   :-2.207                 
##  1st Qu.: 0.9462                1st Qu.:-1.715                 
##  Median : 1.3013                Median :-1.561                 
##  Mean   : 1.3198                Mean   :-1.538                 
##  3rd Qu.: 1.7191                3rd Qu.:-1.347                 
##  Max.   : 2.8398                Max.   :-0.844                 
##       AXL           Adiponectin     Alpha_1_Antichymotrypsin
##  Min.   :-0.9230   Min.   :-6.725   Min.   :0.2624          
##  1st Qu.: 0.0000   1st Qu.:-5.669   1st Qu.:1.1314          
##  Median : 0.2804   Median :-5.185   Median :1.3610          
##  Mean   : 0.3093   Mean   :-5.201   Mean   :1.3605          
##  3rd Qu.: 0.6077   3rd Qu.:-4.780   3rd Qu.:1.5892          
##  Max.   : 1.5214   Max.   :-3.507   Max.   :2.3026          
##  Alpha_1_Antitrypsin Alpha_1_Microglobulin Alpha_2_Macroglobulin
##  Min.   :-17.028     Min.   :-4.343        Min.   :-289.68      
##  1st Qu.:-14.071     1st Qu.:-3.270        1st Qu.:-186.64      
##  Median :-13.004     Median :-2.937        Median :-160.01      
##  Mean   :-13.052     Mean   :-2.932        Mean   :-158.61      
##  3rd Qu.:-12.096     3rd Qu.:-2.590        3rd Qu.:-134.62      
##  Max.   : -8.192     Max.   :-1.772        Max.   : -59.46      
##  Angiopoietin_2_ANG_2 Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1
##  Min.   :-0.5447      Min.   :1.752   Min.   :-2.9565     Min.   :-8.680   
##  1st Qu.: 0.4700      1st Qu.:2.119   1st Qu.:-2.1203     1st Qu.:-7.763   
##  Median : 0.6419      Median :2.320   Median :-1.8326     Median :-7.470   
##  Mean   : 0.6730      Mean   :2.318   Mean   :-1.8544     Mean   :-7.483   
##  3rd Qu.: 0.8755      3rd Qu.:2.497   3rd Qu.:-1.6094     3rd Qu.:-7.209   
##  Max.   : 1.5261      Max.   :2.881   Max.   :-0.7765     Max.   :-6.166   
##  Apolipoprotein_A2 Apolipoprotein_B Apolipoprotein_CI Apolipoprotein_CIII
##  Min.   :-1.8971   Min.   :-9.937   Min.   :-3.3242   Min.   :-3.689     
##  1st Qu.:-0.9676   1st Qu.:-6.630   1st Qu.:-1.8326   1st Qu.:-2.773     
##  Median :-0.6733   Median :-5.703   Median :-1.6094   Median :-2.526     
##  Mean   :-0.6354   Mean   :-5.578   Mean   :-1.5833   Mean   :-2.494     
##  3rd Qu.:-0.3147   3rd Qu.:-4.539   3rd Qu.:-1.3667   3rd Qu.:-2.207     
##  Max.   : 0.9555   Max.   :-2.153   Max.   :-0.2744   Max.   :-1.238     
##  Apolipoprotein_D Apolipoprotein_E Apolipoprotein_H  
##  Min.   :0.470    Min.   :0.5911   Min.   :-2.23379  
##  1st Qu.:1.209    1st Qu.:2.3344   1st Qu.:-0.59782  
##  Median :1.411    Median :2.8181   Median :-0.37005  
##  Mean   :1.440    Mean   :2.8062   Mean   :-0.32122  
##  3rd Qu.:1.668    3rd Qu.:3.2863   3rd Qu.:-0.06112  
##  Max.   :2.272    Max.   :5.4442   Max.   : 0.92696  
##  B_Lymphocyte_Chemoattractant_BL     BMP_6         Beta_2_Microglobulin
##  Min.   :0.7318                  Min.   :-2.7612   Min.   :-0.54473    
##  1st Qu.:1.6731                  1st Qu.:-2.1516   1st Qu.:-0.04082    
##  Median :1.9805                  Median :-1.8774   Median : 0.18232    
##  Mean   :2.0175                  Mean   :-1.9114   Mean   : 0.16757    
##  3rd Qu.:2.3714                  3rd Qu.:-1.6753   3rd Qu.: 0.33647    
##  Max.   :4.0237                  Max.   :-0.8166   Max.   : 0.99325    
##   Betacellulin   C_Reactive_Protein      CD40              CD5L         
##  Min.   :10.00   Min.   :-8.517     Min.   :-1.8644   Min.   :-1.23787  
##  1st Qu.:42.00   1st Qu.:-6.645     1st Qu.:-1.3761   1st Qu.:-0.35667  
##  Median :51.00   Median :-5.843     Median :-1.2734   Median :-0.06188  
##  Mean   :51.01   Mean   :-5.874     Mean   :-1.2584   Mean   :-0.05310  
##  3rd Qu.:59.00   3rd Qu.:-5.083     3rd Qu.:-1.1238   3rd Qu.: 0.26236  
##  Max.   :82.00   Max.   :-2.937     Max.   :-0.5475   Max.   : 1.16315  
##    Calbindin       Calcitonin           CgA        Clusterin_Apo_J
##  Min.   :10.96   Min.   :-0.7134   Min.   :135.6   Min.   :1.872  
##  1st Qu.:19.77   1st Qu.: 0.9555   1st Qu.:278.0   1st Qu.:2.708  
##  Median :22.25   Median : 1.6487   Median :331.5   Median :2.890  
##  Mean   :22.43   Mean   : 1.6788   Mean   :333.3   Mean   :2.882  
##  3rd Qu.:24.80   3rd Qu.: 2.2824   3rd Qu.:392.1   3rd Qu.:3.045  
##  Max.   :33.78   Max.   : 3.8918   Max.   :535.4   Max.   :3.584  
##   Complement_3     Complement_Factor_H Connective_Tissue_Growth_Factor
##  Min.   :-23.387   Min.   :-0.8387     Min.   :0.1823                 
##  1st Qu.:-17.567   1st Qu.: 2.7531     1st Qu.:0.6419                 
##  Median :-15.524   Median : 3.6000     Median :0.7885                 
##  Mean   :-15.610   Mean   : 3.5541     Mean   :0.7739                 
##  3rd Qu.:-13.882   3rd Qu.: 4.2548     3rd Qu.:0.9163                 
##  Max.   : -9.563   Max.   : 7.6238     Max.   :1.4110                 
##     Cortisol     Creatine_Kinase_MB   Cystatin_C        EGF_R         
##  Min.   : 0.10   Min.   :-1.872     Min.   :7.432   Min.   :-1.36135  
##  1st Qu.: 9.80   1st Qu.:-1.724     1st Qu.:8.321   1st Qu.:-0.85727  
##  Median :12.00   Median :-1.671     Median :8.564   Median :-0.68354  
##  Mean   :11.98   Mean   :-1.674     Mean   :8.586   Mean   :-0.70130  
##  3rd Qu.:14.00   3rd Qu.:-1.626     3rd Qu.:8.839   3rd Qu.:-0.54612  
##  Max.   :29.00   Max.   :-1.384     Max.   :9.694   Max.   :-0.06112  
##     EN_RAGE            ENA_78         Eotaxin_3           FAS         
##  Min.   :-8.3774   Min.   :-1.405   Min.   :  7.00   Min.   :-1.5141  
##  1st Qu.:-4.1997   1st Qu.:-1.381   1st Qu.: 44.00   1st Qu.:-0.7133  
##  Median :-3.6497   Median :-1.374   Median : 59.00   Median :-0.5276  
##  Mean   :-3.6353   Mean   :-1.372   Mean   : 58.17   Mean   :-0.5291  
##  3rd Qu.:-3.1466   3rd Qu.:-1.364   3rd Qu.: 70.00   3rd Qu.:-0.3147  
##  Max.   :-0.3857   Max.   :-1.339   Max.   :107.00   Max.   : 0.3365  
##  FSH_Follicle_Stimulation_Hormon   Fas_Ligand      Fatty_Acid_Binding_Protein
##  Min.   :-2.11511                Min.   :-0.1536   Min.   :-1.0441           
##  1st Qu.:-1.46606                1st Qu.: 2.3415   1st Qu.: 0.7998           
##  Median :-1.13570                Median : 3.1015   Median : 1.3865           
##  Mean   :-1.14259                Mean   : 2.9680   Mean   : 1.3529           
##  3rd Qu.:-0.87620                3rd Qu.: 3.6950   3rd Qu.: 1.8847           
##  Max.   : 0.09715                Max.   : 7.6328   Max.   : 3.7055           
##     Ferritin         Fetuin_A       Fibrinogen       GRO_alpha    
##  Min.   :0.6077   Min.   :0.470   Min.   :-8.874   Min.   :1.271  
##  1st Qu.:2.2895   1st Qu.:1.099   1st Qu.:-7.717   1st Qu.:1.351  
##  Median :2.7749   Median :1.308   Median :-7.323   Median :1.382  
##  Mean   :2.7646   Mean   :1.350   Mean   :-7.356   Mean   :1.378  
##  3rd Qu.:3.2915   3rd Qu.:1.609   3rd Qu.:-7.013   3rd Qu.:1.406  
##  Max.   :4.6333   Max.   :2.251   Max.   :-5.843   Max.   :1.495  
##  Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha
##  Min.   :2.393                    Min.   :0.5238                 
##  1st Qu.:2.707                    1st Qu.:0.8439                 
##  Median :2.783                    Median :0.9677                 
##  Mean   :2.786                    Mean   :0.9512                 
##  3rd Qu.:2.873                    3rd Qu.:1.0344                 
##  Max.   :3.065                    Max.   :1.3176                 
##      HB_EGF           HCC_4        Hepatocyte_Growth_Factor_HGF     I_309      
##  Min.   : 2.103   Min.   :-4.510   Min.   :-0.6349              Min.   :1.758  
##  1st Qu.: 5.786   1st Qu.:-3.730   1st Qu.: 0.0000              1st Qu.:2.708  
##  Median : 6.703   Median :-3.507   Median : 0.1823              Median :2.944  
##  Mean   : 6.833   Mean   :-3.500   Mean   : 0.1963              Mean   :2.958  
##  3rd Qu.: 7.865   3rd Qu.:-3.270   3rd Qu.: 0.4055              3rd Qu.:3.219  
##  Max.   :10.695   Max.   :-2.120   Max.   : 0.8755              Max.   :4.143  
##      ICAM_1           IGF_BP_2         IL_11           IL_13      
##  Min.   :-1.5332   Min.   :4.635   Min.   :1.755   Min.   :1.259  
##  1st Qu.:-0.8298   1st Qu.:5.179   1st Qu.:3.706   1st Qu.:1.274  
##  Median :-0.5903   Median :5.323   Median :4.805   Median :1.283  
##  Mean   :-0.5908   Mean   :5.317   Mean   :4.725   Mean   :1.284  
##  3rd Qu.:-0.3828   3rd Qu.:5.453   3rd Qu.:5.776   3rd Qu.:1.290  
##  Max.   : 0.5171   Max.   :5.948   Max.   :8.491   Max.   :1.321  
##      IL_16           IL_17E        IL_1alpha           IL_3       
##  Min.   :1.187   Min.   :1.052   Min.   :-8.517   Min.   :-5.915  
##  1st Qu.:2.521   1st Qu.:4.149   1st Qu.:-7.824   1st Qu.:-4.269  
##  Median :2.909   Median :4.749   Median :-7.524   Median :-3.912  
##  Mean   :2.929   Mean   :4.855   Mean   :-7.514   Mean   :-3.941  
##  3rd Qu.:3.351   3rd Qu.:5.631   3rd Qu.:-7.264   3rd Qu.:-3.631  
##  Max.   :4.937   Max.   :8.952   Max.   :-5.952   Max.   :-2.453  
##       IL_4             IL_5              IL_6         IL_6_Receptor     
##  Min.   :0.5306   Min.   :-1.4271   Min.   :-1.5343   Min.   :-0.67562  
##  1st Qu.:1.4586   1st Qu.:-0.1221   1st Qu.:-0.4127   1st Qu.:-0.12541  
##  Median :1.8083   Median : 0.1823   Median :-0.1599   Median : 0.09669  
##  Mean   :1.7732   Mean   : 0.1866   Mean   :-0.1540   Mean   : 0.09492  
##  3rd Qu.:2.1459   3rd Qu.: 0.4700   3rd Qu.: 0.1410   3rd Qu.: 0.35404  
##  Max.   :3.0445   Max.   : 1.9459   Max.   : 1.8138   Max.   : 0.83099  
##       IL_7             IL_8       IP_10_Inducible_Protein_10      IgA         
##  Min.   :0.5598   Min.   :1.574   Min.   :4.317              Min.   :-10.520  
##  1st Qu.:2.1548   1st Qu.:1.680   1st Qu.:5.398              1st Qu.: -6.645  
##  Median :2.7934   Median :1.705   Median :5.753              Median : -6.119  
##  Mean   :2.8392   Mean   :1.704   Mean   :5.755              Mean   : -6.121  
##  3rd Qu.:3.7055   3rd Qu.:1.728   3rd Qu.:6.064              3rd Qu.: -5.573  
##  Max.   :5.7056   Max.   :1.807   Max.   :7.501              Max.   : -4.200  
##     Insulin        Kidney_Injury_Molecule_1_KIM_1     LOX_1      
##  Min.   :-2.1692   Min.   :-1.256                 Min.   :0.000  
##  1st Qu.:-1.4466   1st Qu.:-1.204                 1st Qu.:1.030  
##  Median :-1.2462   Median :-1.183                 Median :1.281  
##  Mean   :-1.2329   Mean   :-1.185                 Mean   :1.283  
##  3rd Qu.:-1.0340   3rd Qu.:-1.164                 3rd Qu.:1.526  
##  Max.   :-0.1586   Max.   :-1.105                 Max.   :2.272  
##      Leptin        Lipoprotein_a        MCP_1           MCP_2       
##  Min.   :-2.1468   Min.   :-6.812   Min.   :5.826   Min.   :0.4006  
##  1st Qu.:-1.6996   1st Qu.:-5.308   1st Qu.:6.319   1st Qu.:1.5304  
##  Median :-1.5047   Median :-4.605   Median :6.494   Median :1.8528  
##  Mean   :-1.5042   Mean   :-4.417   Mean   :6.497   Mean   :1.8691  
##  3rd Qu.:-1.3295   3rd Qu.:-3.490   3rd Qu.:6.678   3rd Qu.:2.1821  
##  Max.   :-0.6206   Max.   :-1.386   Max.   :7.230   Max.   :4.0237  
##       MIF           MIP_1alpha       MIP_1beta         MMP_2        
##  Min.   :-2.847   Min.   :0.9346   Min.   :1.946   Min.   :0.09809  
##  1st Qu.:-2.120   1st Qu.:3.3377   1st Qu.:2.565   1st Qu.:2.33214  
##  Median :-1.897   Median :4.0495   Median :2.833   Median :2.81512  
##  Mean   :-1.864   Mean   :4.0489   Mean   :2.814   Mean   :2.87534  
##  3rd Qu.:-1.661   3rd Qu.:4.6857   3rd Qu.:3.045   3rd Qu.:3.55121  
##  Max.   :-0.844   Max.   :6.7959   Max.   :4.007   Max.   :5.35895  
##      MMP_3             MMP10             MMP7           Myoglobin      
##  Min.   :-4.4228   Min.   :-4.934   Min.   :-8.3975   Min.   :-3.1701  
##  1st Qu.:-2.7489   1st Qu.:-3.938   1st Qu.:-4.8199   1st Qu.:-2.0402  
##  Median :-2.4534   Median :-3.650   Median :-3.7735   Median :-1.4697  
##  Mean   :-2.4455   Mean   :-3.635   Mean   :-3.7894   Mean   :-1.3671  
##  3rd Qu.:-2.1203   3rd Qu.:-3.352   3rd Qu.:-2.7140   3rd Qu.:-0.7988  
##  Max.   :-0.5276   Max.   :-2.207   Max.   :-0.2222   Max.   : 1.7750  
##    NT_proBNP         NrCAM        Osteopontin        PAI_1         
##  Min.   :3.178   Min.   :2.639   Min.   :4.111   Min.   :-0.99085  
##  1st Qu.:4.350   1st Qu.:3.998   1st Qu.:4.963   1st Qu.:-0.16655  
##  Median :4.554   Median :4.394   Median :5.187   Median : 0.09396  
##  Mean   :4.552   Mean   :4.362   Mean   :5.204   Mean   : 0.07743  
##  3rd Qu.:4.775   3rd Qu.:4.749   3rd Qu.:5.442   3rd Qu.: 0.32005  
##  Max.   :5.886   Max.   :6.011   Max.   :6.308   Max.   : 1.16611  
##      PAPP_A            PLGF            PYY        Pancreatic_polypeptide
##  Min.   :-3.311   Min.   :2.485   Min.   :2.186   Min.   :-2.12026      
##  1st Qu.:-2.936   1st Qu.:3.638   1st Qu.:2.833   1st Qu.:-0.52763      
##  Median :-2.871   Median :3.871   Median :2.996   Median :-0.04082      
##  Mean   :-2.854   Mean   :3.912   Mean   :3.015   Mean   :-0.01323      
##  3rd Qu.:-2.749   3rd Qu.:4.205   3rd Qu.:3.178   3rd Qu.: 0.53063      
##  Max.   :-2.520   Max.   :5.170   Max.   :3.932   Max.   : 1.93152      
##    Prolactin        Prostatic_Acid_Phosphatase   Protein_S     
##  Min.   :-1.30933   Min.   :-1.934             Min.   :-3.338  
##  1st Qu.:-0.13926   1st Qu.:-1.717             1st Qu.:-2.464  
##  Median : 0.00000   Median :-1.690             Median :-2.259  
##  Mean   : 0.04495   Mean   :-1.685             Mean   :-2.240  
##  3rd Qu.: 0.25799   3rd Qu.:-1.654             3rd Qu.:-2.000  
##  Max.   : 0.99325   Max.   :-1.424             Max.   :-1.221  
##  Pulmonary_and_Activation_Regulat     RANTES          Resistin      
##  Min.   :-2.5133                  Min.   :-7.222   Min.   :-34.967  
##  1st Qu.:-1.8326                  1st Qu.:-6.725   1st Qu.:-21.468  
##  Median :-1.5141                  Median :-6.502   Median :-17.466  
##  Mean   :-1.4880                  Mean   :-6.511   Mean   :-17.641  
##  3rd Qu.:-1.1712                  3rd Qu.:-6.320   3rd Qu.:-13.501  
##  Max.   :-0.2744                  Max.   :-5.547   Max.   : -2.239  
##      S100b             SGOT              SHBG             SOD       
##  Min.   :0.1874   Min.   :-1.3471   Min.   :-4.135   Min.   :4.317  
##  1st Qu.:1.0012   1st Qu.:-0.6349   1st Qu.:-2.813   1st Qu.:5.094  
##  Median :1.2544   Median :-0.4005   Median :-2.489   Median :5.366  
##  Mean   :1.2505   Mean   :-0.4057   Mean   :-2.477   Mean   :5.336  
##  3rd Qu.:1.4996   3rd Qu.:-0.1985   3rd Qu.:-2.120   3rd Qu.:5.583  
##  Max.   :2.3726   Max.   : 0.7419   Max.   :-1.109   Max.   :6.317  
##  Serum_Amyloid_P     Sortilin     Stem_Cell_Factor   TGF_alpha     
##  Min.   :-7.506   Min.   :1.654   Min.   :2.251    Min.   : 6.843  
##  1st Qu.:-6.377   1st Qu.:3.343   1st Qu.:3.045    1st Qu.: 8.859  
##  Median :-6.032   Median :3.867   Median :3.296    Median : 9.919  
##  Mean   :-6.017   Mean   :3.852   Mean   :3.301    Mean   : 9.801  
##  3rd Qu.:-5.655   3rd Qu.:4.371   3rd Qu.:3.526    3rd Qu.:10.695  
##  Max.   :-4.646   Max.   :6.225   Max.   :4.277    Max.   :13.827  
##      TIMP_1          TNF_RII           TRAIL_R3       TTR_prealbumin 
##  Min.   : 1.742   Min.   :-1.6607   Min.   :-1.2107   Min.   :2.485  
##  1st Qu.:10.490   1st Qu.:-0.8210   1st Qu.:-0.7008   1st Qu.:2.773  
##  Median :11.565   Median :-0.5978   Median :-0.5317   Median :2.833  
##  Mean   :11.750   Mean   :-0.5939   Mean   :-0.5394   Mean   :2.854  
##  3rd Qu.:12.697   3rd Qu.:-0.3784   3rd Qu.:-0.3849   3rd Qu.:2.944  
##  Max.   :18.881   Max.   : 0.4700   Max.   : 0.2694   Max.   :3.332  
##  Tamm_Horsfall_Protein_THP Thrombomodulin    Thrombopoietin    
##  Min.   :-3.206            Min.   :-2.0377   Min.   :-1.53957  
##  1st Qu.:-3.137            1st Qu.:-1.6256   1st Qu.:-0.88645  
##  Median :-3.117            Median :-1.4920   Median :-0.75100  
##  Mean   :-3.116            Mean   :-1.5050   Mean   :-0.75419  
##  3rd Qu.:-3.096            3rd Qu.:-1.3406   3rd Qu.:-0.62887  
##  Max.   :-2.995            Max.   :-0.8166   Max.   : 0.09762  
##  Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
##  Min.   :1.508                   Min.   :-6.190             
##  1st Qu.:3.343                   1st Qu.:-4.962             
##  Median :3.810                   Median :-4.510             
##  Mean   :3.848                   Mean   :-4.499             
##  3rd Qu.:4.316                   3rd Qu.:-4.017             
##  Max.   :6.225                   Max.   :-1.715             
##  Thyroxine_Binding_Globulin Tissue_Factor      Transferrin   
##  Min.   :-2.4769            Min.   :-0.2107   Min.   :1.932  
##  1st Qu.:-1.7720            1st Qu.: 0.8329   1st Qu.:2.708  
##  Median :-1.5141            Median : 1.2238   Median :2.890  
##  Mean   :-1.4788            Mean   : 1.1702   Mean   :2.909  
##  3rd Qu.:-1.2379            3rd Qu.: 1.4816   3rd Qu.:3.091  
##  Max.   :-0.2107            Max.   : 2.4849   Max.   :3.761  
##  Trefoil_Factor_3_TFF3     VCAM_1           VEGF        Vitronectin      
##  Min.   :-4.744        Min.   :1.723   Min.   :11.83   Min.   :-1.42712  
##  1st Qu.:-4.135        1st Qu.:2.485   1st Qu.:15.77   1st Qu.:-0.51083  
##  Median :-3.863        Median :2.708   Median :17.08   Median :-0.30111  
##  Mean   :-3.876        Mean   :2.688   Mean   :16.99   Mean   :-0.28473  
##  3rd Qu.:-3.650        3rd Qu.:2.890   3rd Qu.:18.10   3rd Qu.:-0.03564  
##  Max.   :-2.957        Max.   :3.689   Max.   :22.38   Max.   : 0.53063  
##  von_Willebrand_Factor      Class           E4               E3        
##  Min.   :-4.991        Impaired: 73   Min.   :0.0000   Min.   :0.0000  
##  1st Qu.:-4.200        Control :194   1st Qu.:0.0000   1st Qu.:1.0000  
##  Median :-3.912                       Median :0.0000   Median :1.0000  
##  Mean   :-3.906                       Mean   :0.4007   Mean   :0.9176  
##  3rd Qu.:-3.612                       3rd Qu.:1.0000   3rd Qu.:1.0000  
##  Max.   :-2.957                       Max.   :1.0000   Max.   :1.0000  
##        E2       
##  Min.   :0.000  
##  1st Qu.:0.000  
##  Median :0.000  
##  Mean   :0.161  
##  3rd Qu.:0.000  
##  Max.   :1.000
##################################
# Performing a general exploration of the test set
##################################
dim(Alzheimer_Test)
## [1]  66 128
str(Alzheimer_Test)
## 'data.frame':    66 obs. of  128 variables:
##  $ ACE_CD143_Angiotensin_Converti  : num  1.681 1.602 1.301 1.562 0.831 ...
##  $ ACTH_Adrenocorticotropic_Hormon : num  -1.61 -1.51 -1.77 -1.56 -1.97 ...
##  $ AXL                             : num  0.6833 0.4495 -0.0201 0.5298 -0.2 ...
##  $ Adiponectin                     : num  -5.12 -5.57 -6.17 -6.07 -5.43 ...
##  $ Alpha_1_Antichymotrypsin        : num  1.281 1.163 1.253 0.875 1.253 ...
##  $ Alpha_1_Antitrypsin             : num  -15.5 -12.1 -14.5 -14 -13.3 ...
##  $ Alpha_1_Microglobulin           : num  -3.17 -2.36 -3.32 -3.19 -3.24 ...
##  $ Alpha_2_Macroglobulin           : num  -98.4 -144.9 -204.1 -125.8 -186.6 ...
##  $ Angiopoietin_2_ANG_2            : num  0.916 0.531 0.262 0.742 0 ...
##  $ Angiotensinogen                 : num  2.38 2.26 2.03 2.25 2.05 ...
##  $ Apolipoprotein_A_IV             : num  -2.12 -1.9 -2.04 -2.3 -1.9 ...
##  $ Apolipoprotein_A1               : num  -8.05 -7.14 -8.08 -7.9 -8.18 ...
##  $ Apolipoprotein_A2               : num  -1.238 -0.562 -0.844 -1.022 -1.022 ...
##  $ Apolipoprotein_B                : num  -6.52 -6.41 -5.56 -5.36 -5.94 ...
##  $ Apolipoprotein_CI               : num  -1.97 -1.51 -2.21 -1.9 -2.04 ...
##  $ Apolipoprotein_CIII             : num  -3 -1.97 -2.94 -2.83 -2.8 ...
##  $ Apolipoprotein_D                : num  1.44 1.48 1.39 1.16 1.25 ...
##  $ Apolipoprotein_E                : num  2.37 3.7 1.33 3.19 1.53 ...
##  $ Apolipoprotein_H                : num  -0.532 -0.125 -0.32 -0.517 -0.462 ...
##  $ B_Lymphocyte_Chemoattractant_BL : num  1.981 2.182 1.853 1.274 0.927 ...
##  $ BMP_6                           : num  -1.98 -1.88 -1.68 -2.65 -1.68 ...
##  $ Beta_2_Microglobulin            : num  0.642 0.182 -0.274 0.405 -0.223 ...
##  $ Betacellulin                    : int  52 59 51 46 51 42 61 46 32 46 ...
##  $ C_Reactive_Protein              : num  -6.21 -6.21 -6.12 -5.71 -6.93 ...
##  $ CD40                            : num  -1.12 -1.24 -1.45 -1.07 -1.41 ...
##  $ CD5L                            : num  -0.3285 0 -1.2379 -0.0408 -0.1054 ...
##  $ Calbindin                       : num  23.5 20.6 13.4 27.3 22.5 ...
##  $ Calcitonin                      : num  -0.151 4.111 2.303 3.091 1.281 ...
##  $ CgA                             : num  334 323 289 412 342 ...
##  $ Clusterin_Apo_J                 : num  2.83 3.04 2.56 3.14 2.48 ...
##  $ Complement_3                    : num  -13.2 -13 -17.3 -14.8 -19.2 ...
##  $ Complement_Factor_H             : num  3.1 4.68 3.78 2.52 3.3 ...
##  $ Connective_Tissue_Growth_Factor : num  0.531 0.693 0.956 0.588 0.875 ...
##  $ Cortisol                        : num  14 17 9.2 11 12 16 6.1 10 9.8 13 ...
##  $ Creatine_Kinase_MB              : num  -1.65 -1.63 -1.61 -1.59 -1.72 ...
##  $ Cystatin_C                      : num  9.58 8.33 7.91 8.99 8.47 ...
##  $ EGF_R                           : num  -0.422 -0.785 -0.976 -0.561 -0.767 ...
##  $ EN_RAGE                         : num  -2.94 -3.77 -3.24 -4.2 -4.27 ...
##  $ ENA_78                          : num  -1.37 -1.38 -1.36 -1.37 -1.39 ...
##  $ Eotaxin_3                       : int  44 70 70 36 39 76 44 62 82 36 ...
##  $ FAS                             : num  -0.478 -0.0726 -0.5798 -0.5276 -0.9416 ...
##  $ FSH_Follicle_Stimulation_Hormon : num  -0.59 -0.652 -1.559 -1.505 -1.361 ...
##  $ Fas_Ligand                      : num  2.537 2.792 2.073 0.288 3.867 ...
##  $ Fatty_Acid_Binding_Protein      : num  0.624 1.143 0.624 2.379 1.424 ...
##  $ Ferritin                        : num  3.14 2.52 1.9 4.29 1.69 ...
##  $ Fetuin_A                        : num  0.742 1.386 1.194 0.993 1.131 ...
##  $ Fibrinogen                      : num  -7.8 -7.06 -7.45 -7.8 -7.35 ...
##  $ GRO_alpha                       : num  1.37 1.35 1.37 1.37 1.38 ...
##  $ Gamma_Interferon_induced_Monokin: num  2.89 2.78 2.69 2.69 2.7 ...
##  $ Glutathione_S_Transferase_alpha : num  0.708 1.034 1.13 0.676 0.844 ...
##  $ HB_EGF                          : num  5.95 6.11 6.11 6.56 7.75 ...
##  $ HCC_4                           : num  -3.82 -3.24 -3.77 -3.54 -3.73 ...
##  $ Hepatocyte_Growth_Factor_HGF    : num  0.4055 0.1823 -0.0834 0.47 -0.1054 ...
##  $ I_309                           : num  3.37 3 2.83 3.14 2.83 ...
##  $ ICAM_1                          : num  -0.857 -1.111 -0.561 -0.357 -1.064 ...
##  $ IGF_BP_2                        : num  5.42 5.38 5.41 5.14 4.93 ...
##  $ IL_11                           : num  6.22 4.59 4.1 4.52 3.22 ...
##  $ IL_13                           : num  1.31 1.27 1.27 1.29 1.27 ...
##  $ IL_16                           : num  2.44 3.48 2.88 2.81 1.9 ...
##  $ IL_17E                          : num  4.7 3.64 5.73 4.8 4.15 ...
##  $ IL_1alpha                       : num  -7.6 -7.37 -7.85 -7.68 -8.33 ...
##  $ IL_3                            : num  -4.27 -4.02 -4.51 -3.58 -4.69 ...
##  $ IL_4                            : num  1.48 1.81 1.81 2.04 1.21 ...
##  $ IL_5                            : num  0.788 0.182 0 0.693 -0.371 ...
##  $ IL_6                            : num  -0.371 -1.534 0.422 -0.563 0.8 ...
##  $ IL_6_Receptor                   : num  0.5752 0.0967 -0.5322 -0.1586 0.0967 ...
##  $ IL_7                            : num  2.34 2.15 1.56 3.71 2.15 ...
##  $ IL_8                            : num  1.72 1.7 1.69 1.69 1.7 ...
##  $ IP_10_Inducible_Protein_10      : num  5.6 5.33 5.06 4.75 5.29 ...
##  $ IgA                             : num  -7.62 -5.36 -7.04 -5.6 -6.57 ...
##  $ Insulin                         : num  -1.485 -1.034 -1.569 -0.901 -1.865 ...
##  $ Kidney_Injury_Molecule_1_KIM_1  : num  -1.23 -1.16 -1.12 -1.21 -1.16 ...
##  $ LOX_1                           : num  1.224 1.131 0.588 1.308 1.308 ...
##  $ Leptin                          : num  -1.27 -1.54 -1.54 -1.36 -1.55 ...
##  $ Lipoprotein_a                   : num  -4.99 -4.2 -3.54 -4.87 -5.08 ...
##  $ MCP_1                           : num  6.78 6.38 6.61 6.41 6.78 ...
##  $ MCP_2                           : num  1.981 1.626 1.626 0.401 1.853 ...
##  $ MIF                             : num  -1.66 -1.61 -2.04 -1.97 -1.83 ...
##  $ MIP_1alpha                      : num  4.93 4.35 3.41 2.28 1.68 ...
##  $ MIP_1beta                       : num  3.22 2.77 2.83 2.48 2.77 ...
##  $ MMP_2                           : num  2.97 2.92 3.27 4.05 1.36 ...
##  $ MMP_3                           : num  -1.77 -1.97 -2.04 -2.04 -2.21 ...
##  $ MMP10                           : num  -4.07 -3.27 -3.02 -3.04 -4.07 ...
##  $ MMP7                            : num  -6.86 -3 -4.36 -3.35 -4.45 ...
##  $ Myoglobin                       : num  -1.139 -1.661 0.182 -1.897 -1.204 ...
##  $ NT_proBNP                       : num  4.11 4.52 4.44 4.61 4.51 ...
##  $ NrCAM                           : num  4.97 4.23 3.71 4.75 4.3 ...
##  $ Osteopontin                     : num  5.77 5.28 4.96 5.23 4.79 ...
##  $ PAI_1                           : num  0 -0.0957 0.4905 0.4905 -0.0957 ...
##  $ PAPP_A                          : num  -2.79 -3.03 -2.71 -3.15 -3.08 ...
##  $ PLGF                            : num  3.43 3.69 4.08 3.85 3.76 ...
##  $ PYY                             : num  2.83 3 2.94 2.89 2.83 ...
##  $ Pancreatic_polypeptide          : num  -0.821 0.262 -0.105 0.262 0.182 ...
##  $ Prolactin                       : num  -0.0408 0.7419 0.3365 0 -0.2485 ...
##  $ Prostatic_Acid_Phosphatase      : num  -1.74 -1.68 -1.68 -1.69 -1.69 ...
##  $ Protein_S                       : num  -2.7 -2.36 -2.36 -2.7 -2.58 ...
##  $ Pulmonary_and_Activation_Regulat: num  -1.11 -1.31 -1.97 -1.97 -1.39 ...
##  $ RANTES                          : num  -5.99 -6.73 -6.65 -6.57 -6.57 ...
##  $ Resistin                        : num  -13.5 -15.6 -18 -16 -24.4 ...
##   [list output truncated]
summary(Alzheimer_Test)
##  ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon
##  Min.   :-0.5473                Min.   :-2.2073                
##  1st Qu.: 0.9462                1st Qu.:-1.7148                
##  Median : 1.3013                Median :-1.5374                
##  Mean   : 1.3105                Mean   :-1.5311                
##  3rd Qu.: 1.6320                3rd Qu.:-1.3863                
##  Max.   : 3.0890                Max.   :-0.7985                
##       AXL            Adiponectin     Alpha_1_Antichymotrypsin
##  Min.   :-0.73509   Min.   :-7.059   Min.   :0.1823          
##  1st Qu.:-0.08175   1st Qu.:-5.737   1st Qu.:1.0647          
##  Median : 0.28035   Median :-5.360   Median :1.3083          
##  Mean   : 0.25373   Mean   :-5.298   Mean   :1.3077          
##  3rd Qu.: 0.60768   3rd Qu.:-4.917   3rd Qu.:1.5686          
##  Max.   : 1.28634   Max.   :-3.474   Max.   :2.2192          
##  Alpha_1_Antitrypsin Alpha_1_Microglobulin Alpha_2_Macroglobulin
##  Min.   :-18.17      Min.   :-4.135        Min.   :-238.64      
##  1st Qu.:-14.70      1st Qu.:-3.284        1st Qu.:-186.64      
##  Median :-13.59      Median :-3.006        Median :-162.93      
##  Mean   :-13.49      Mean   :-2.983        Mean   :-162.89      
##  3rd Qu.:-12.31      3rd Qu.:-2.674        3rd Qu.:-136.53      
##  Max.   :-10.06      Max.   :-1.897        Max.   : -50.17      
##  Angiopoietin_2_ANG_2 Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1
##  Min.   :-0.05129     Min.   :1.710   Min.   :-2.749      Min.   :-8.568   
##  1st Qu.: 0.35372     1st Qu.:2.068   1st Qu.:-2.186      1st Qu.:-7.818   
##  Median : 0.55921     Median :2.276   Median :-1.897      Median :-7.497   
##  Mean   : 0.60278     Mean   :2.274   Mean   :-1.867      Mean   :-7.488   
##  3rd Qu.: 0.78846     3rd Qu.:2.430   3rd Qu.:-1.526      3rd Qu.:-7.176   
##  Max.   : 1.77495     Max.   :2.752   Max.   :-1.109      Max.   :-6.645   
##  Apolipoprotein_A2 Apolipoprotein_B Apolipoprotein_CI Apolipoprotein_CIII
##  Min.   :-1.9661   Min.   :-8.192   Min.   :-2.847    Min.   :-3.863     
##  1st Qu.:-0.9416   1st Qu.:-6.748   1st Qu.:-1.897    1st Qu.:-2.781     
##  Median :-0.7032   Median :-5.819   Median :-1.609    Median :-2.557     
##  Mean   :-0.6902   Mean   :-5.649   Mean   :-1.625    Mean   :-2.523     
##  3rd Qu.:-0.3533   3rd Qu.:-4.603   3rd Qu.:-1.309    3rd Qu.:-2.231     
##  Max.   : 0.5306   Max.   :-2.339   Max.   :-0.462    Max.   :-1.386     
##  Apolipoprotein_D Apolipoprotein_E Apolipoprotein_H 
##  Min.   :0.2624   Min.   :0.6626   Min.   :-1.1609  
##  1st Qu.:1.1314   1st Qu.:2.1526   1st Qu.:-0.5317  
##  Median :1.3863   Median :2.8181   Median :-0.2897  
##  Mean   :1.3943   Mean   :2.7160   Mean   :-0.3212  
##  3rd Qu.:1.6864   3rd Qu.:3.2363   3rd Qu.:-0.1032  
##  Max.   :2.6391   Max.   :4.6844   Max.   : 0.4402  
##  B_Lymphocyte_Chemoattractant_BL     BMP_6        Beta_2_Microglobulin
##  Min.   :0.7318                  Min.   :-2.669   Min.   :-0.51083    
##  1st Qu.:1.5304                  1st Qu.:-2.152   1st Qu.:-0.06188    
##  Median :1.8528                  Median :-1.964   Median : 0.18232    
##  Mean   :1.8766                  Mean   :-1.937   Mean   : 0.15566    
##  3rd Qu.:2.3714                  3rd Qu.:-1.675   3rd Qu.: 0.40547    
##  Max.   :2.9757                  Max.   :-1.181   Max.   : 0.83291    
##   Betacellulin   C_Reactive_Protein      CD40              CD5L         
##  Min.   :32.00   Min.   :-8.112     Min.   :-1.9390   Min.   :-1.96611  
##  1st Qu.:46.00   1st Qu.:-6.725     1st Qu.:-1.4420   1st Qu.:-0.36747  
##  Median :51.00   Median :-6.166     Median :-1.2574   Median :-0.05135  
##  Mean   :52.74   Mean   :-5.997     Mean   :-1.2773   Mean   :-0.08760  
##  3rd Qu.:59.75   3rd Qu.:-5.369     3rd Qu.:-1.1034   3rd Qu.: 0.24235  
##  Max.   :80.00   Max.   :-3.411     Max.   :-0.7766   Max.   : 0.91629  
##    Calbindin       Calcitonin           CgA        Clusterin_Apo_J
##  Min.   :10.81   Min.   :-0.7134   Min.   :166.6   Min.   :1.932  
##  1st Qu.:18.88   1st Qu.: 1.2014   1st Qu.:268.2   1st Qu.:2.565  
##  Median :21.06   Median : 1.6849   Median :324.7   Median :2.833  
##  Mean   :21.49   Mean   : 1.7250   Mean   :320.2   Mean   :2.845  
##  3rd Qu.:24.00   3rd Qu.: 2.2618   3rd Qu.:362.3   3rd Qu.:3.045  
##  Max.   :35.36   Max.   : 4.1109   Max.   :494.5   Max.   :3.761  
##   Complement_3    Complement_Factor_H Connective_Tissue_Growth_Factor
##  Min.   :-22.40   Min.   :0.2766      Min.   :0.09531                
##  1st Qu.:-17.50   1st Qu.:2.6019      1st Qu.:0.58779                
##  Median :-15.90   Median :3.3983      Median :0.74194                
##  Mean   :-15.91   Mean   :3.3897      Mean   :0.74507                
##  3rd Qu.:-14.34   3rd Qu.:4.2548      3rd Qu.:0.87547                
##  Max.   :-10.23   Max.   :6.5597      Max.   :1.41099                
##     Cortisol     Creatine_Kinase_MB   Cystatin_C        EGF_R        
##  Min.   : 0.10   Min.   :-1.872     Min.   :7.728   Min.   :-1.2694  
##  1st Qu.: 8.90   1st Qu.:-1.721     1st Qu.:8.301   1st Qu.:-0.8859  
##  Median :10.00   Median :-1.651     Median :8.544   Median :-0.6917  
##  Mean   :10.46   Mean   :-1.652     Mean   :8.576   Mean   :-0.6965  
##  3rd Qu.:12.00   3rd Qu.:-1.590     3rd Qu.:8.837   3rd Qu.:-0.5034  
##  Max.   :22.00   Max.   :-1.434     Max.   :9.694   Max.   : 0.1891  
##     EN_RAGE            ENA_78         Eotaxin_3           FAS         
##  Min.   :-8.3774   Min.   :-1.405   Min.   : 23.00   Min.   :-1.1087  
##  1st Qu.:-4.1836   1st Qu.:-1.382   1st Qu.: 43.00   1st Qu.:-0.7133  
##  Median :-3.6889   Median :-1.374   Median : 54.00   Median :-0.5798  
##  Mean   :-3.5986   Mean   :-1.376   Mean   : 55.55   Mean   :-0.5414  
##  3rd Qu.:-3.2189   3rd Qu.:-1.368   3rd Qu.: 64.00   3rd Qu.:-0.3355  
##  Max.   :-0.8675   Max.   :-1.353   Max.   :107.00   Max.   : 0.1823  
##  FSH_Follicle_Stimulation_Hormon   Fas_Ligand    Fatty_Acid_Binding_Protein
##  Min.   :-1.8101                 Min.   :0.288   Min.   :-0.4559           
##  1st Qu.:-1.2694                 1st Qu.:2.073   1st Qu.: 0.7998           
##  Median :-0.9763                 Median :2.665   Median : 1.1866           
##  Mean   :-1.0597                 Mean   :2.649   Mean   : 1.2884           
##  3rd Qu.:-0.8068                 3rd Qu.:3.162   3rd Qu.: 1.9192           
##  Max.   :-0.4757                 Max.   :5.377   Max.   : 3.2188           
##     Ferritin         Fetuin_A        Fibrinogen       GRO_alpha    
##  Min.   :0.8983   Min.   :0.5306   Min.   :-9.373   Min.   :1.271  
##  1st Qu.:2.1473   1st Qu.:1.0296   1st Qu.:-7.799   1st Qu.:1.351  
##  Median :2.6260   Median :1.3083   Median :-7.316   Median :1.372  
##  Mean   :2.7069   Mean   :1.3116   Mean   :-7.360   Mean   :1.378  
##  3rd Qu.:3.1672   3rd Qu.:1.6094   3rd Qu.:-6.970   3rd Qu.:1.398  
##  Max.   :4.9282   Max.   :2.2083   Max.   :-6.166   Max.   :1.514  
##  Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha
##  Min.   :2.545                    Min.   :0.5661                 
##  1st Qu.:2.698                    1st Qu.:0.8257                 
##  Median :2.768                    Median :0.9493                 
##  Mean   :2.772                    Mean   :0.9440                 
##  3rd Qu.:2.829                    3rd Qu.:1.0457                 
##  Max.   :3.046                    Max.   :1.3102                 
##      HB_EGF           HCC_4        Hepatocyte_Growth_Factor_HGF     I_309      
##  Min.   : 3.521   Min.   :-4.343   Min.   :-0.61619             Min.   :2.041  
##  1st Qu.: 5.949   1st Qu.:-3.772   1st Qu.:-0.05661             1st Qu.:2.724  
##  Median : 6.980   Median :-3.540   Median : 0.18232             Median :2.944  
##  Mean   : 6.844   Mean   :-3.538   Mean   : 0.18076             Mean   :2.921  
##  3rd Qu.: 7.745   3rd Qu.:-3.352   3rd Qu.: 0.33647             3rd Qu.:3.135  
##  Max.   :10.359   Max.   :-2.489   Max.   : 1.09861             Max.   :3.689  
##      ICAM_1           IGF_BP_2         IL_11           IL_13      
##  Min.   :-1.4661   Min.   :4.718   Min.   :2.031   Min.   :1.232  
##  1st Qu.:-0.7671   1st Qu.:5.127   1st Qu.:3.960   1st Qu.:1.274  
##  Median :-0.5903   Median :5.255   Median :4.838   Median :1.283  
##  Mean   :-0.5958   Mean   :5.263   Mean   :4.651   Mean   :1.283  
##  3rd Qu.:-0.3574   3rd Qu.:5.402   3rd Qu.:5.482   3rd Qu.:1.292  
##  Max.   : 0.3602   Max.   :5.916   Max.   :8.692   Max.   :1.310  
##      IL_16            IL_17E        IL_1alpha           IL_3       
##  Min.   :0.9568   Min.   :1.582   Min.   :-8.468   Min.   :-5.521  
##  1st Qu.:2.4411   1st Qu.:3.637   1st Qu.:-7.849   1st Qu.:-4.324  
##  Median :2.8763   Median :4.723   Median :-7.562   Median :-3.963  
##  Mean   :2.8176   Mean   :4.774   Mean   :-7.549   Mean   :-3.976  
##  3rd Qu.:3.3514   3rd Qu.:5.415   3rd Qu.:-7.279   3rd Qu.:-3.576  
##  Max.   :4.1028   Max.   :8.081   Max.   :-6.377   Max.   :-3.079  
##       IL_4             IL_5               IL_6          IL_6_Receptor     
##  Min.   :0.5306   Min.   :-1.04982   Min.   :-1.53428   Min.   :-0.74560  
##  1st Qu.:1.4586   1st Qu.:-0.03062   1st Qu.:-0.40924   1st Qu.:-0.20131  
##  Median :1.7226   Median : 0.22234   Median :-0.07205   Median : 0.00000  
##  Mean   :1.7445   Mean   : 0.22853   Mean   :-0.05216   Mean   : 0.06213  
##  3rd Qu.:2.0669   3rd Qu.: 0.53063   3rd Qu.: 0.34805   3rd Qu.: 0.27297  
##  Max.   :2.7081   Max.   : 1.13140   Max.   : 1.00562   Max.   : 0.77048  
##       IL_7            IL_8       IP_10_Inducible_Protein_10      IgA        
##  Min.   :1.310   Min.   :1.615   Min.   :4.263              Min.   :-7.621  
##  1st Qu.:2.379   1st Qu.:1.684   1st Qu.:5.323              1st Qu.:-6.571  
##  Median :3.148   Median :1.702   Median :5.617              Median :-6.012  
##  Mean   :3.143   Mean   :1.704   Mean   :5.636              Mean   :-6.066  
##  3rd Qu.:3.706   3rd Qu.:1.725   3rd Qu.:5.917              3rd Qu.:-5.606  
##  Max.   :5.000   Max.   :1.836   Max.   :7.208              Max.   :-4.733  
##     Insulin        Kidney_Injury_Molecule_1_KIM_1     LOX_1       
##  Min.   :-2.0099   Min.   :-1.251                 Min.   :0.0000  
##  1st Qu.:-1.4466   1st Qu.:-1.209                 1st Qu.:0.9649  
##  Median :-1.2169   Median :-1.187                 Median :1.2238  
##  Mean   :-1.1998   Mean   :-1.188                 Mean   :1.2085  
##  3rd Qu.:-1.0105   3rd Qu.:-1.166                 3rd Qu.:1.4351  
##  Max.   :-0.5025   Max.   :-1.124                 Max.   :2.3979  
##      Leptin        Lipoprotein_a        MCP_1           MCP_2       
##  Min.   :-1.9471   Min.   :-6.571   Min.   :5.889   Min.   :0.4006  
##  1st Qu.:-1.6334   1st Qu.:-5.116   1st Qu.:6.318   1st Qu.:1.5304  
##  Median :-1.4294   Median :-4.657   Median :6.482   Median :1.8528  
##  Mean   :-1.4363   Mean   :-4.515   Mean   :6.480   Mean   :1.8104  
##  3rd Qu.:-1.2409   3rd Qu.:-4.017   3rd Qu.:6.627   3rd Qu.:2.0827  
##  Max.   :-0.8387   Max.   :-2.040   Max.   :7.065   Max.   :3.7545  
##       MIF           MIP_1alpha      MIP_1beta         MMP_2       
##  Min.   :-2.797   Min.   :1.008   Min.   :1.917   Min.   :0.6248  
##  1st Qu.:-2.120   1st Qu.:3.302   1st Qu.:2.485   1st Qu.:2.5513  
##  Median :-1.966   Median :3.736   Median :2.773   Median :2.9937  
##  Mean   :-1.932   Mean   :3.898   Mean   :2.784   Mean   :3.0347  
##  3rd Qu.:-1.715   3rd Qu.:4.686   3rd Qu.:3.079   3rd Qu.:3.4798  
##  Max.   :-1.109   Max.   :5.735   Max.   :3.784   Max.   :6.0996  
##      MMP_3            MMP10             MMP7           Myoglobin      
##  Min.   :-3.650   Min.   :-4.948   Min.   :-7.5346   Min.   :-3.2968  
##  1st Qu.:-2.852   1st Qu.:-4.075   1st Qu.:-4.9634   1st Qu.:-2.0217  
##  Median :-2.532   Median :-3.612   Median :-4.0302   Median :-1.5874  
##  Mean   :-2.490   Mean   :-3.676   Mean   :-4.0148   Mean   :-1.4165  
##  3rd Qu.:-2.120   3rd Qu.:-3.331   3rd Qu.:-3.1640   3rd Qu.:-0.7765  
##  Max.   :-1.171   Max.   :-2.900   Max.   :-0.1953   Max.   : 1.1314  
##    NT_proBNP         NrCAM        Osteopontin        PAI_1          
##  Min.   :3.611   Min.   :2.890   Min.   :4.078   Min.   :-0.990849  
##  1st Qu.:4.174   1st Qu.:3.871   1st Qu.:4.892   1st Qu.:-0.334043  
##  Median :4.477   Median :4.317   Median :5.168   Median : 0.000000  
##  Mean   :4.488   Mean   :4.291   Mean   :5.177   Mean   :-0.003947  
##  3rd Qu.:4.794   3rd Qu.:4.725   3rd Qu.:5.410   3rd Qu.: 0.303112  
##  Max.   :5.398   Max.   :5.690   Max.   :6.315   Max.   : 0.885785  
##      PAPP_A            PLGF            PYY        Pancreatic_polypeptide
##  Min.   :-3.152   Min.   :2.639   Min.   :2.398   Min.   :-1.609438     
##  1st Qu.:-2.971   1st Qu.:3.689   1st Qu.:2.833   1st Qu.:-0.506693     
##  Median :-2.841   Median :3.892   Median :2.996   Median : 0.138816     
##  Mean   :-2.845   Mean   :3.884   Mean   :2.976   Mean   :-0.005258     
##  3rd Qu.:-2.719   3rd Qu.:4.123   3rd Qu.:3.178   3rd Qu.: 0.470004     
##  Max.   :-2.488   Max.   :4.710   Max.   :3.738   Max.   : 1.504077     
##    Prolactin        Prostatic_Acid_Phosphatase   Protein_S     
##  Min.   :-0.38566   Min.   :-1.800             Min.   :-3.154  
##  1st Qu.:-0.16558   1st Qu.:-1.739             1st Qu.:-2.579  
##  Median : 0.00000   Median :-1.690             Median :-2.259  
##  Mean   : 0.05195   Mean   :-1.692             Mean   :-2.268  
##  3rd Qu.: 0.18232   3rd Qu.:-1.659             3rd Qu.:-1.924  
##  Max.   : 0.78846   Max.   :-1.540             Max.   :-1.547  
##  Pulmonary_and_Activation_Regulat     RANTES          Resistin      
##  Min.   :-2.4418                  Min.   :-7.236   Min.   :-30.156  
##  1st Qu.:-1.8326                  1st Qu.:-6.725   1st Qu.:-22.131  
##  Median :-1.5141                  Median :-6.571   Median :-18.014  
##  Mean   :-1.5007                  Mean   :-6.540   Mean   :-18.245  
##  3rd Qu.:-1.1712                  3rd Qu.:-6.392   3rd Qu.:-15.202  
##  Max.   :-0.4463                  Max.   :-5.843   Max.   : -6.594  
##      S100b             SGOT              SHBG             SOD       
##  Min.   :0.1874   Min.   :-1.8971   Min.   :-3.730   Min.   :4.382  
##  1st Qu.:0.9600   1st Qu.:-0.7498   1st Qu.:-3.052   1st Qu.:5.006  
##  Median :1.1571   Median :-0.4780   Median :-2.711   Median :5.313  
##  Mean   :1.1819   Mean   :-0.4898   Mean   :-2.686   Mean   :5.302  
##  3rd Qu.:1.3807   3rd Qu.:-0.2138   3rd Qu.:-2.343   3rd Qu.:5.547  
##  Max.   :2.1950   Max.   : 0.1823   Max.   :-1.561   Max.   :6.461  
##  Serum_Amyloid_P     Sortilin     Stem_Cell_Factor   TGF_alpha     
##  Min.   :-7.182   Min.   :1.508   Min.   :2.219    Min.   : 7.500  
##  1st Qu.:-6.438   1st Qu.:3.177   1st Qu.:3.045    1st Qu.: 9.062  
##  Median :-6.215   Median :3.867   Median :3.314    Median : 9.596  
##  Mean   :-6.083   Mean   :3.787   Mean   :3.267    Mean   : 9.776  
##  3rd Qu.:-5.607   3rd Qu.:4.371   3rd Qu.:3.466    3rd Qu.:10.612  
##  Max.   :-4.699   Max.   :5.681   Max.   :4.078    Max.   :13.083  
##      TIMP_1          TNF_RII           TRAIL_R3        TTR_prealbumin 
##  Min.   : 8.198   Min.   :-1.6607   Min.   :-1.30636   Min.   :2.485  
##  1st Qu.:10.530   1st Qu.:-0.8675   1st Qu.:-0.73332   1st Qu.:2.773  
##  Median :11.341   Median :-0.6541   Median :-0.55547   Median :2.890  
##  Mean   :11.520   Mean   :-0.6270   Mean   :-0.58640   Mean   :2.854  
##  3rd Qu.:12.352   3rd Qu.:-0.3320   3rd Qu.:-0.47065   3rd Qu.:2.944  
##  Max.   :16.547   Max.   : 0.4055   Max.   : 0.09622   Max.   :3.091  
##  Tamm_Horsfall_Protein_THP Thrombomodulin   Thrombopoietin   
##  Min.   :-3.206            Min.   :-2.054   Min.   :-1.5396  
##  1st Qu.:-3.144            1st Qu.:-1.675   1st Qu.:-0.8383  
##  Median :-3.126            Median :-1.534   Median :-0.7039  
##  Mean   :-3.123            Mean   :-1.533   Mean   :-0.7192  
##  3rd Qu.:-3.101            3rd Qu.:-1.341   3rd Qu.:-0.6289  
##  Max.   :-3.041            Max.   :-1.019   Max.   :-0.3029  
##  Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
##  Min.   :2.141                   Min.   :-6.190             
##  1st Qu.:3.283                   1st Qu.:-4.733             
##  Median :3.753                   Median :-4.269             
##  Mean   :3.770                   Mean   :-4.221             
##  3rd Qu.:4.316                   3rd Qu.:-3.828             
##  Max.   :5.681                   Max.   :-2.040             
##  Thyroxine_Binding_Globulin Tissue_Factor     Transferrin   
##  Min.   :-2.3026            Min.   :0.0000   Min.   :2.282  
##  1st Qu.:-1.7148            1st Qu.:0.7053   1st Qu.:2.708  
##  Median :-1.4919            Median :1.1473   Median :2.890  
##  Mean   :-1.4902            Mean   :1.1356   Mean   :2.900  
##  3rd Qu.:-1.2379            3rd Qu.:1.5149   3rd Qu.:3.135  
##  Max.   :-0.5978            Max.   :2.7081   Max.   :3.497  
##  Trefoil_Factor_3_TFF3     VCAM_1           VEGF        Vitronectin      
##  Min.   :-4.906        Min.   :2.028   Min.   :12.23   Min.   :-1.07881  
##  1st Qu.:-4.200        1st Qu.:2.420   1st Qu.:15.03   1st Qu.:-0.46204  
##  Median :-3.912        Median :2.674   Median :17.08   Median :-0.28106  
##  Mean   :-3.947        Mean   :2.644   Mean   :16.70   Mean   :-0.26833  
##  3rd Qu.:-3.772        3rd Qu.:2.833   3rd Qu.:18.19   3rd Qu.:-0.05394  
##  Max.   :-3.170        Max.   :3.466   Max.   :21.18   Max.   : 0.40547  
##  von_Willebrand_Factor      Class          E4              E3        
##  Min.   :-4.920        Impaired:18   Min.   :0.000   Min.   :0.0000  
##  1st Qu.:-4.269        Control :48   1st Qu.:0.000   1st Qu.:1.0000  
##  Median :-4.017                      Median :0.000   Median :1.0000  
##  Mean   :-4.014                      Mean   :0.303   Mean   :0.9848  
##  3rd Qu.:-3.730                      3rd Qu.:1.000   3rd Qu.:1.0000  
##  Max.   :-3.058                      Max.   :1.000   Max.   :1.0000  
##        E2         
##  Min.   :0.00000  
##  1st Qu.:0.00000  
##  Median :0.00000  
##  Mean   :0.06061  
##  3rd Qu.:0.00000  
##  Max.   :1.00000
##################################
# Formulating a data type assessment summary
##################################
PDA <- Alzheimer_Train
(PDA.Summary <- data.frame(
  Column.Index=c(1:length(names(PDA))),
  Column.Name= names(PDA), 
  Column.Type=sapply(PDA, function(x) class(x)), 
  row.names=NULL)
)
##     Column.Index                      Column.Name Column.Type
## 1              1   ACE_CD143_Angiotensin_Converti     numeric
## 2              2  ACTH_Adrenocorticotropic_Hormon     numeric
## 3              3                              AXL     numeric
## 4              4                      Adiponectin     numeric
## 5              5         Alpha_1_Antichymotrypsin     numeric
## 6              6              Alpha_1_Antitrypsin     numeric
## 7              7            Alpha_1_Microglobulin     numeric
## 8              8            Alpha_2_Macroglobulin     numeric
## 9              9             Angiopoietin_2_ANG_2     numeric
## 10            10                  Angiotensinogen     numeric
## 11            11              Apolipoprotein_A_IV     numeric
## 12            12                Apolipoprotein_A1     numeric
## 13            13                Apolipoprotein_A2     numeric
## 14            14                 Apolipoprotein_B     numeric
## 15            15                Apolipoprotein_CI     numeric
## 16            16              Apolipoprotein_CIII     numeric
## 17            17                 Apolipoprotein_D     numeric
## 18            18                 Apolipoprotein_E     numeric
## 19            19                 Apolipoprotein_H     numeric
## 20            20  B_Lymphocyte_Chemoattractant_BL     numeric
## 21            21                            BMP_6     numeric
## 22            22             Beta_2_Microglobulin     numeric
## 23            23                     Betacellulin     integer
## 24            24               C_Reactive_Protein     numeric
## 25            25                             CD40     numeric
## 26            26                             CD5L     numeric
## 27            27                        Calbindin     numeric
## 28            28                       Calcitonin     numeric
## 29            29                              CgA     numeric
## 30            30                  Clusterin_Apo_J     numeric
## 31            31                     Complement_3     numeric
## 32            32              Complement_Factor_H     numeric
## 33            33  Connective_Tissue_Growth_Factor     numeric
## 34            34                         Cortisol     numeric
## 35            35               Creatine_Kinase_MB     numeric
## 36            36                       Cystatin_C     numeric
## 37            37                            EGF_R     numeric
## 38            38                          EN_RAGE     numeric
## 39            39                           ENA_78     numeric
## 40            40                        Eotaxin_3     integer
## 41            41                              FAS     numeric
## 42            42  FSH_Follicle_Stimulation_Hormon     numeric
## 43            43                       Fas_Ligand     numeric
## 44            44       Fatty_Acid_Binding_Protein     numeric
## 45            45                         Ferritin     numeric
## 46            46                         Fetuin_A     numeric
## 47            47                       Fibrinogen     numeric
## 48            48                        GRO_alpha     numeric
## 49            49 Gamma_Interferon_induced_Monokin     numeric
## 50            50  Glutathione_S_Transferase_alpha     numeric
## 51            51                           HB_EGF     numeric
## 52            52                            HCC_4     numeric
## 53            53     Hepatocyte_Growth_Factor_HGF     numeric
## 54            54                            I_309     numeric
## 55            55                           ICAM_1     numeric
## 56            56                         IGF_BP_2     numeric
## 57            57                            IL_11     numeric
## 58            58                            IL_13     numeric
## 59            59                            IL_16     numeric
## 60            60                           IL_17E     numeric
## 61            61                        IL_1alpha     numeric
## 62            62                             IL_3     numeric
## 63            63                             IL_4     numeric
## 64            64                             IL_5     numeric
## 65            65                             IL_6     numeric
## 66            66                    IL_6_Receptor     numeric
## 67            67                             IL_7     numeric
## 68            68                             IL_8     numeric
## 69            69       IP_10_Inducible_Protein_10     numeric
## 70            70                              IgA     numeric
## 71            71                          Insulin     numeric
## 72            72   Kidney_Injury_Molecule_1_KIM_1     numeric
## 73            73                            LOX_1     numeric
## 74            74                           Leptin     numeric
## 75            75                    Lipoprotein_a     numeric
## 76            76                            MCP_1     numeric
## 77            77                            MCP_2     numeric
## 78            78                              MIF     numeric
## 79            79                       MIP_1alpha     numeric
## 80            80                        MIP_1beta     numeric
## 81            81                            MMP_2     numeric
## 82            82                            MMP_3     numeric
## 83            83                            MMP10     numeric
## 84            84                             MMP7     numeric
## 85            85                        Myoglobin     numeric
## 86            86                        NT_proBNP     numeric
## 87            87                            NrCAM     numeric
## 88            88                      Osteopontin     numeric
## 89            89                            PAI_1     numeric
## 90            90                           PAPP_A     numeric
## 91            91                             PLGF     numeric
## 92            92                              PYY     numeric
## 93            93           Pancreatic_polypeptide     numeric
## 94            94                        Prolactin     numeric
## 95            95       Prostatic_Acid_Phosphatase     numeric
## 96            96                        Protein_S     numeric
## 97            97 Pulmonary_and_Activation_Regulat     numeric
## 98            98                           RANTES     numeric
## 99            99                         Resistin     numeric
## 100          100                            S100b     numeric
## 101          101                             SGOT     numeric
## 102          102                             SHBG     numeric
## 103          103                              SOD     numeric
## 104          104                  Serum_Amyloid_P     numeric
## 105          105                         Sortilin     numeric
## 106          106                 Stem_Cell_Factor     numeric
## 107          107                        TGF_alpha     numeric
## 108          108                           TIMP_1     numeric
## 109          109                          TNF_RII     numeric
## 110          110                         TRAIL_R3     numeric
## 111          111                   TTR_prealbumin     numeric
## 112          112        Tamm_Horsfall_Protein_THP     numeric
## 113          113                   Thrombomodulin     numeric
## 114          114                   Thrombopoietin     numeric
## 115          115  Thymus_Expressed_Chemokine_TECK     numeric
## 116          116      Thyroid_Stimulating_Hormone     numeric
## 117          117       Thyroxine_Binding_Globulin     numeric
## 118          118                    Tissue_Factor     numeric
## 119          119                      Transferrin     numeric
## 120          120            Trefoil_Factor_3_TFF3     numeric
## 121          121                           VCAM_1     numeric
## 122          122                             VEGF     numeric
## 123          123                      Vitronectin     numeric
## 124          124            von_Willebrand_Factor     numeric
## 125          125                            Class      factor
## 126          126                               E4     numeric
## 127          127                               E3     numeric
## 128          128                               E2     numeric

1.2 Data Quality Assessment


[A] No missing observations noted for any variable.

[B] Low variance observed for 2 variables with First.Second.Mode.Ratio>5.
     [B.1] E2 variable (factor)
     [B.2] E3 variable (factor)

[C] No low variance observed for any variable with Unique.Count.Ratio<0.01.

[D] No high skewness observed for any variable with Skewness>3 or Skewness<(-3).

Code Chunk | Output
##################################
# Loading dataset
##################################
DQA <- Alzheimer_Train

##################################
# Formulating an overall data quality assessment summary
##################################
(DQA.Summary <- data.frame(
  Column.Index=c(1:length(names(DQA))),
  Column.Name= names(DQA), 
  Column.Type=sapply(DQA, function(x) class(x)), 
  Row.Count=sapply(DQA, function(x) nrow(DQA)),
  NA.Count=sapply(DQA,function(x)sum(is.na(x))),
  Fill.Rate=sapply(DQA,function(x)format(round((sum(!is.na(x))/nrow(DQA)),3),nsmall=3)),
  row.names=NULL)
)
##     Column.Index                      Column.Name Column.Type Row.Count
## 1              1   ACE_CD143_Angiotensin_Converti     numeric       267
## 2              2  ACTH_Adrenocorticotropic_Hormon     numeric       267
## 3              3                              AXL     numeric       267
## 4              4                      Adiponectin     numeric       267
## 5              5         Alpha_1_Antichymotrypsin     numeric       267
## 6              6              Alpha_1_Antitrypsin     numeric       267
## 7              7            Alpha_1_Microglobulin     numeric       267
## 8              8            Alpha_2_Macroglobulin     numeric       267
## 9              9             Angiopoietin_2_ANG_2     numeric       267
## 10            10                  Angiotensinogen     numeric       267
## 11            11              Apolipoprotein_A_IV     numeric       267
## 12            12                Apolipoprotein_A1     numeric       267
## 13            13                Apolipoprotein_A2     numeric       267
## 14            14                 Apolipoprotein_B     numeric       267
## 15            15                Apolipoprotein_CI     numeric       267
## 16            16              Apolipoprotein_CIII     numeric       267
## 17            17                 Apolipoprotein_D     numeric       267
## 18            18                 Apolipoprotein_E     numeric       267
## 19            19                 Apolipoprotein_H     numeric       267
## 20            20  B_Lymphocyte_Chemoattractant_BL     numeric       267
## 21            21                            BMP_6     numeric       267
## 22            22             Beta_2_Microglobulin     numeric       267
## 23            23                     Betacellulin     integer       267
## 24            24               C_Reactive_Protein     numeric       267
## 25            25                             CD40     numeric       267
## 26            26                             CD5L     numeric       267
## 27            27                        Calbindin     numeric       267
## 28            28                       Calcitonin     numeric       267
## 29            29                              CgA     numeric       267
## 30            30                  Clusterin_Apo_J     numeric       267
## 31            31                     Complement_3     numeric       267
## 32            32              Complement_Factor_H     numeric       267
## 33            33  Connective_Tissue_Growth_Factor     numeric       267
## 34            34                         Cortisol     numeric       267
## 35            35               Creatine_Kinase_MB     numeric       267
## 36            36                       Cystatin_C     numeric       267
## 37            37                            EGF_R     numeric       267
## 38            38                          EN_RAGE     numeric       267
## 39            39                           ENA_78     numeric       267
## 40            40                        Eotaxin_3     integer       267
## 41            41                              FAS     numeric       267
## 42            42  FSH_Follicle_Stimulation_Hormon     numeric       267
## 43            43                       Fas_Ligand     numeric       267
## 44            44       Fatty_Acid_Binding_Protein     numeric       267
## 45            45                         Ferritin     numeric       267
## 46            46                         Fetuin_A     numeric       267
## 47            47                       Fibrinogen     numeric       267
## 48            48                        GRO_alpha     numeric       267
## 49            49 Gamma_Interferon_induced_Monokin     numeric       267
## 50            50  Glutathione_S_Transferase_alpha     numeric       267
## 51            51                           HB_EGF     numeric       267
## 52            52                            HCC_4     numeric       267
## 53            53     Hepatocyte_Growth_Factor_HGF     numeric       267
## 54            54                            I_309     numeric       267
## 55            55                           ICAM_1     numeric       267
## 56            56                         IGF_BP_2     numeric       267
## 57            57                            IL_11     numeric       267
## 58            58                            IL_13     numeric       267
## 59            59                            IL_16     numeric       267
## 60            60                           IL_17E     numeric       267
## 61            61                        IL_1alpha     numeric       267
## 62            62                             IL_3     numeric       267
## 63            63                             IL_4     numeric       267
## 64            64                             IL_5     numeric       267
## 65            65                             IL_6     numeric       267
## 66            66                    IL_6_Receptor     numeric       267
## 67            67                             IL_7     numeric       267
## 68            68                             IL_8     numeric       267
## 69            69       IP_10_Inducible_Protein_10     numeric       267
## 70            70                              IgA     numeric       267
## 71            71                          Insulin     numeric       267
## 72            72   Kidney_Injury_Molecule_1_KIM_1     numeric       267
## 73            73                            LOX_1     numeric       267
## 74            74                           Leptin     numeric       267
## 75            75                    Lipoprotein_a     numeric       267
## 76            76                            MCP_1     numeric       267
## 77            77                            MCP_2     numeric       267
## 78            78                              MIF     numeric       267
## 79            79                       MIP_1alpha     numeric       267
## 80            80                        MIP_1beta     numeric       267
## 81            81                            MMP_2     numeric       267
## 82            82                            MMP_3     numeric       267
## 83            83                            MMP10     numeric       267
## 84            84                             MMP7     numeric       267
## 85            85                        Myoglobin     numeric       267
## 86            86                        NT_proBNP     numeric       267
## 87            87                            NrCAM     numeric       267
## 88            88                      Osteopontin     numeric       267
## 89            89                            PAI_1     numeric       267
## 90            90                           PAPP_A     numeric       267
## 91            91                             PLGF     numeric       267
## 92            92                              PYY     numeric       267
## 93            93           Pancreatic_polypeptide     numeric       267
## 94            94                        Prolactin     numeric       267
## 95            95       Prostatic_Acid_Phosphatase     numeric       267
## 96            96                        Protein_S     numeric       267
## 97            97 Pulmonary_and_Activation_Regulat     numeric       267
## 98            98                           RANTES     numeric       267
## 99            99                         Resistin     numeric       267
## 100          100                            S100b     numeric       267
## 101          101                             SGOT     numeric       267
## 102          102                             SHBG     numeric       267
## 103          103                              SOD     numeric       267
## 104          104                  Serum_Amyloid_P     numeric       267
## 105          105                         Sortilin     numeric       267
## 106          106                 Stem_Cell_Factor     numeric       267
## 107          107                        TGF_alpha     numeric       267
## 108          108                           TIMP_1     numeric       267
## 109          109                          TNF_RII     numeric       267
## 110          110                         TRAIL_R3     numeric       267
## 111          111                   TTR_prealbumin     numeric       267
## 112          112        Tamm_Horsfall_Protein_THP     numeric       267
## 113          113                   Thrombomodulin     numeric       267
## 114          114                   Thrombopoietin     numeric       267
## 115          115  Thymus_Expressed_Chemokine_TECK     numeric       267
## 116          116      Thyroid_Stimulating_Hormone     numeric       267
## 117          117       Thyroxine_Binding_Globulin     numeric       267
## 118          118                    Tissue_Factor     numeric       267
## 119          119                      Transferrin     numeric       267
## 120          120            Trefoil_Factor_3_TFF3     numeric       267
## 121          121                           VCAM_1     numeric       267
## 122          122                             VEGF     numeric       267
## 123          123                      Vitronectin     numeric       267
## 124          124            von_Willebrand_Factor     numeric       267
## 125          125                            Class      factor       267
## 126          126                               E4     numeric       267
## 127          127                               E3     numeric       267
## 128          128                               E2     numeric       267
##     NA.Count Fill.Rate
## 1          0     1.000
## 2          0     1.000
## 3          0     1.000
## 4          0     1.000
## 5          0     1.000
## 6          0     1.000
## 7          0     1.000
## 8          0     1.000
## 9          0     1.000
## 10         0     1.000
## 11         0     1.000
## 12         0     1.000
## 13         0     1.000
## 14         0     1.000
## 15         0     1.000
## 16         0     1.000
## 17         0     1.000
## 18         0     1.000
## 19         0     1.000
## 20         0     1.000
## 21         0     1.000
## 22         0     1.000
## 23         0     1.000
## 24         0     1.000
## 25         0     1.000
## 26         0     1.000
## 27         0     1.000
## 28         0     1.000
## 29         0     1.000
## 30         0     1.000
## 31         0     1.000
## 32         0     1.000
## 33         0     1.000
## 34         0     1.000
## 35         0     1.000
## 36         0     1.000
## 37         0     1.000
## 38         0     1.000
## 39         0     1.000
## 40         0     1.000
## 41         0     1.000
## 42         0     1.000
## 43         0     1.000
## 44         0     1.000
## 45         0     1.000
## 46         0     1.000
## 47         0     1.000
## 48         0     1.000
## 49         0     1.000
## 50         0     1.000
## 51         0     1.000
## 52         0     1.000
## 53         0     1.000
## 54         0     1.000
## 55         0     1.000
## 56         0     1.000
## 57         0     1.000
## 58         0     1.000
## 59         0     1.000
## 60         0     1.000
## 61         0     1.000
## 62         0     1.000
## 63         0     1.000
## 64         0     1.000
## 65         0     1.000
## 66         0     1.000
## 67         0     1.000
## 68         0     1.000
## 69         0     1.000
## 70         0     1.000
## 71         0     1.000
## 72         0     1.000
## 73         0     1.000
## 74         0     1.000
## 75         0     1.000
## 76         0     1.000
## 77         0     1.000
## 78         0     1.000
## 79         0     1.000
## 80         0     1.000
## 81         0     1.000
## 82         0     1.000
## 83         0     1.000
## 84         0     1.000
## 85         0     1.000
## 86         0     1.000
## 87         0     1.000
## 88         0     1.000
## 89         0     1.000
## 90         0     1.000
## 91         0     1.000
## 92         0     1.000
## 93         0     1.000
## 94         0     1.000
## 95         0     1.000
## 96         0     1.000
## 97         0     1.000
## 98         0     1.000
## 99         0     1.000
## 100        0     1.000
## 101        0     1.000
## 102        0     1.000
## 103        0     1.000
## 104        0     1.000
## 105        0     1.000
## 106        0     1.000
## 107        0     1.000
## 108        0     1.000
## 109        0     1.000
## 110        0     1.000
## 111        0     1.000
## 112        0     1.000
## 113        0     1.000
## 114        0     1.000
## 115        0     1.000
## 116        0     1.000
## 117        0     1.000
## 118        0     1.000
## 119        0     1.000
## 120        0     1.000
## 121        0     1.000
## 122        0     1.000
## 123        0     1.000
## 124        0     1.000
## 125        0     1.000
## 126        0     1.000
## 127        0     1.000
## 128        0     1.000
##################################
# Listing all predictors
##################################
DQA.Predictors <- DQA[,!names(DQA) %in% c("Class")]

##################################
# Listing all numeric predictors
##################################
DQA.Predictors.Numeric <- DQA.Predictors[,!names(DQA.Predictors) %in% c("E2","E3","E4")]
DQA.Predictors.Numeric <- as.data.frame(sapply(DQA.Predictors.Numeric,function(x) as.numeric(x)))

if (length(names(DQA.Predictors.Numeric))>0) {
    print(paste0("There are ",
               (length(names(DQA.Predictors.Numeric))),
               " numeric predictor variable(s)."))
} else {
  print("There are no numeric predictor variables.")
}
## [1] "There are 124 numeric predictor variable(s)."
##################################
# Listing all factor predictors
##################################
DQA.Predictors.Factor <- DQA.Predictors[,names(DQA.Predictors) %in% c("E2","E3","E4")]
DQA.Predictors.Factor <- as.data.frame(sapply(DQA.Predictors.Factor,function(x) as.factor(x)))

if (length(names(DQA.Predictors.Factor))>0) {
    print(paste0("There are ",
               (length(names(DQA.Predictors.Factor))),
               " factor predictor variable(s)."))
} else {
  print("There are no factor predictor variables.")
}
## [1] "There are 3 factor predictor variable(s)."
##################################
# Formulating a data quality assessment summary for factor predictors
##################################
if (length(names(DQA.Predictors.Factor))>0) {
  
  ##################################
  # Formulating a function to determine the first mode
  ##################################
  FirstModes <- function(x) {
    ux <- unique(na.omit(x))
    tab <- tabulate(match(x, ux))
    ux[tab == max(tab)]
  }

  ##################################
  # Formulating a function to determine the second mode
  ##################################
  SecondModes <- function(x) {
    ux <- unique(na.omit(x))
    tab <- tabulate(match(x, ux))
    fm = ux[tab == max(tab)]
    sm = x[!(x %in% fm)]
    usm <- unique(sm)
    tabsm <- tabulate(match(sm, usm))
    ifelse(is.na(usm[tabsm == max(tabsm)])==TRUE,
           return("x"),
           return(usm[tabsm == max(tabsm)]))
  }
  
  (DQA.Predictors.Factor.Summary <- data.frame(
  Column.Name= names(DQA.Predictors.Factor), 
  Column.Type=sapply(DQA.Predictors.Factor, function(x) class(x)), 
  Unique.Count=sapply(DQA.Predictors.Factor, function(x) length(unique(x))),
  First.Mode.Value=sapply(DQA.Predictors.Factor, function(x) as.character(FirstModes(x)[1])),
  Second.Mode.Value=sapply(DQA.Predictors.Factor, function(x) as.character(SecondModes(x)[1])),
  First.Mode.Count=sapply(DQA.Predictors.Factor, function(x) sum(na.omit(x) == FirstModes(x)[1])),
  Second.Mode.Count=sapply(DQA.Predictors.Factor, function(x) sum(na.omit(x) == SecondModes(x)[1])),
  Unique.Count.Ratio=sapply(DQA.Predictors.Factor, function(x) format(round((length(unique(x))/nrow(DQA.Predictors.Factor)),3), nsmall=3)),
  First.Second.Mode.Ratio=sapply(DQA.Predictors.Factor, function(x) format(round((sum(na.omit(x) == FirstModes(x)[1])/sum(na.omit(x) == SecondModes(x)[1])),3), nsmall=3)),
  row.names=NULL)
  )
  
} 
##   Column.Name Column.Type Unique.Count First.Mode.Value Second.Mode.Value
## 1          E4   character            2                0                 1
## 2          E3   character            2                1                 0
## 3          E2   character            2                0                 1
##   First.Mode.Count Second.Mode.Count Unique.Count.Ratio First.Second.Mode.Ratio
## 1              160               107              0.007                   1.495
## 2              245                22              0.007                  11.136
## 3              224                43              0.007                   5.209
##################################
# Formulating a data quality assessment summary for numeric predictors
##################################
if (length(names(DQA.Predictors.Numeric))>0) {
  
  ##################################
  # Formulating a function to determine the first mode
  ##################################
  FirstModes <- function(x) {
    ux <- unique(na.omit(x))
    tab <- tabulate(match(x, ux))
    ux[tab == max(tab)]
  }

  ##################################
  # Formulating a function to determine the second mode
  ##################################
  SecondModes <- function(x) {
    ux <- unique(na.omit(x))
    tab <- tabulate(match(x, ux))
    fm = ux[tab == max(tab)]
    sm = na.omit(x)[!(na.omit(x) %in% fm)]
    usm <- unique(sm)
    tabsm <- tabulate(match(sm, usm))
    ifelse(is.na(usm[tabsm == max(tabsm)])==TRUE,
           return(0.00001),
           return(usm[tabsm == max(tabsm)]))
  }
  
  (DQA.Predictors.Numeric.Summary <- data.frame(
  Column.Name= names(DQA.Predictors.Numeric), 
  Column.Type=sapply(DQA.Predictors.Numeric, function(x) class(x)), 
  Unique.Count=sapply(DQA.Predictors.Numeric, function(x) length(unique(x))),
  Unique.Count.Ratio=sapply(DQA.Predictors.Numeric, function(x) format(round((length(unique(x))/nrow(DQA.Predictors.Numeric)),3), nsmall=3)),
  First.Mode.Value=sapply(DQA.Predictors.Numeric, function(x) format(round((FirstModes(x)[1]),3),nsmall=3)),
  Second.Mode.Value=sapply(DQA.Predictors.Numeric, function(x) format(round((SecondModes(x)[1]),3),nsmall=3)),
  First.Mode.Count=sapply(DQA.Predictors.Numeric, function(x) sum(na.omit(x) == FirstModes(x)[1])),
  Second.Mode.Count=sapply(DQA.Predictors.Numeric, function(x) sum(na.omit(x) == SecondModes(x)[1])),
  First.Second.Mode.Ratio=sapply(DQA.Predictors.Numeric, function(x) format(round((sum(na.omit(x) == FirstModes(x)[1])/sum(na.omit(x) == SecondModes(x)[1])),3), nsmall=3)),
  Minimum=sapply(DQA.Predictors.Numeric, function(x) format(round(min(x,na.rm = TRUE),3), nsmall=3)),
  Mean=sapply(DQA.Predictors.Numeric, function(x) format(round(mean(x,na.rm = TRUE),3), nsmall=3)),
  Median=sapply(DQA.Predictors.Numeric, function(x) format(round(median(x,na.rm = TRUE),3), nsmall=3)),
  Maximum=sapply(DQA.Predictors.Numeric, function(x) format(round(max(x,na.rm = TRUE),3), nsmall=3)),
  Skewness=sapply(DQA.Predictors.Numeric, function(x) format(round(skewness(x,na.rm = TRUE),3), nsmall=3)),
  Kurtosis=sapply(DQA.Predictors.Numeric, function(x) format(round(kurtosis(x,na.rm = TRUE),3), nsmall=3)),
  Percentile25th=sapply(DQA.Predictors.Numeric, function(x) format(round(quantile(x,probs=0.25,na.rm = TRUE),3), nsmall=3)),
  Percentile75th=sapply(DQA.Predictors.Numeric, function(x) format(round(quantile(x,probs=0.75,na.rm = TRUE),3), nsmall=3)),
  row.names=NULL)
  )  
  
}
##                          Column.Name Column.Type Unique.Count
## 1     ACE_CD143_Angiotensin_Converti     numeric           53
## 2    ACTH_Adrenocorticotropic_Hormon     numeric           32
## 3                                AXL     numeric           59
## 4                        Adiponectin     numeric           91
## 5           Alpha_1_Antichymotrypsin     numeric           65
## 6                Alpha_1_Antitrypsin     numeric           64
## 7              Alpha_1_Microglobulin     numeric           82
## 8              Alpha_2_Macroglobulin     numeric           47
## 9               Angiopoietin_2_ANG_2     numeric           36
## 10                   Angiotensinogen     numeric          135
## 11               Apolipoprotein_A_IV     numeric           53
## 12                 Apolipoprotein_A1     numeric           83
## 13                 Apolipoprotein_A2     numeric           85
## 14                  Apolipoprotein_B     numeric           83
## 15                 Apolipoprotein_CI     numeric           49
## 16               Apolipoprotein_CIII     numeric           82
## 17                  Apolipoprotein_D     numeric           63
## 18                  Apolipoprotein_E     numeric           79
## 19                  Apolipoprotein_H     numeric           82
## 20   B_Lymphocyte_Chemoattractant_BL     numeric           35
## 21                             BMP_6     numeric           42
## 22              Beta_2_Microglobulin     numeric           50
## 23                      Betacellulin     numeric           36
## 24                C_Reactive_Protein     numeric          135
## 25                              CD40     numeric           34
## 26                              CD5L     numeric           82
## 27                         Calbindin     numeric          139
## 28                        Calcitonin     numeric           93
## 29                               CgA     numeric          105
## 30                   Clusterin_Apo_J     numeric           31
## 31                      Complement_3     numeric           63
## 32               Complement_Factor_H     numeric           87
## 33   Connective_Tissue_Growth_Factor     numeric           26
## 34                          Cortisol     numeric           52
## 35                Creatine_Kinase_MB     numeric           32
## 36                        Cystatin_C     numeric          212
## 37                             EGF_R     numeric           59
## 38                           EN_RAGE     numeric           95
## 39                            ENA_78     numeric           39
## 40                         Eotaxin_3     numeric           42
## 41                               FAS     numeric           52
## 42   FSH_Follicle_Stimulation_Hormon     numeric           97
## 43                        Fas_Ligand     numeric           57
## 44        Fatty_Acid_Binding_Protein     numeric           84
## 45                          Ferritin     numeric           75
## 46                          Fetuin_A     numeric           67
## 47                        Fibrinogen     numeric           91
## 48                         GRO_alpha     numeric           25
## 49  Gamma_Interferon_induced_Monokin     numeric          209
## 50   Glutathione_S_Transferase_alpha     numeric           42
## 51                            HB_EGF     numeric           54
## 52                             HCC_4     numeric           53
## 53      Hepatocyte_Growth_Factor_HGF     numeric           44
## 54                             I_309     numeric           45
## 55                            ICAM_1     numeric           68
## 56                          IGF_BP_2     numeric          126
## 57                             IL_11     numeric           75
## 58                             IL_13     numeric           18
## 59                             IL_16     numeric           55
## 60                            IL_17E     numeric           44
## 61                         IL_1alpha     numeric           60
## 62                              IL_3     numeric           58
## 63                              IL_4     numeric           47
## 64                              IL_5     numeric           48
## 65                              IL_6     numeric           53
## 66                     IL_6_Receptor     numeric           53
## 67                              IL_7     numeric           46
## 68                              IL_8     numeric           56
## 69        IP_10_Inducible_Protein_10     numeric          211
## 70                               IgA     numeric           94
## 71                           Insulin     numeric           55
## 72    Kidney_Injury_Molecule_1_KIM_1     numeric           50
## 73                             LOX_1     numeric           67
## 74                            Leptin     numeric           82
## 75                     Lipoprotein_a     numeric          128
## 76                             MCP_1     numeric          219
## 77                             MCP_2     numeric           39
## 78                               MIF     numeric           43
## 79                        MIP_1alpha     numeric           49
## 80                         MIP_1beta     numeric           47
## 81                             MMP_2     numeric           48
## 82                             MMP_3     numeric           80
## 83                             MMP10     numeric           56
## 84                              MMP7     numeric           89
## 85                         Myoglobin     numeric          116
## 86                         NT_proBNP     numeric          111
## 87                             NrCAM     numeric          126
## 88                       Osteopontin     numeric          166
## 89                             PAI_1     numeric           70
## 90                            PAPP_A     numeric           34
## 91                              PLGF     numeric           86
## 92                               PYY     numeric           34
## 93            Pancreatic_polypeptide     numeric           81
## 94                         Prolactin     numeric           57
## 95        Prostatic_Acid_Phosphatase     numeric           43
## 96                         Protein_S     numeric           24
## 97  Pulmonary_and_Activation_Regulat     numeric           54
## 98                            RANTES     numeric           39
## 99                          Resistin     numeric           59
## 100                            S100b     numeric           35
## 101                             SGOT     numeric           75
## 102                             SHBG     numeric           92
## 103                              SOD     numeric          164
## 104                  Serum_Amyloid_P     numeric           74
## 105                         Sortilin     numeric           65
## 106                 Stem_Cell_Factor     numeric           44
## 107                        TGF_alpha     numeric           62
## 108                           TIMP_1     numeric           56
## 109                          TNF_RII     numeric           72
## 110                         TRAIL_R3     numeric           60
## 111                   TTR_prealbumin     numeric           16
## 112        Tamm_Horsfall_Protein_THP     numeric           60
## 113                   Thrombomodulin     numeric           35
## 114                   Thrombopoietin     numeric           54
## 115  Thymus_Expressed_Chemokine_TECK     numeric           37
## 116      Thyroid_Stimulating_Hormone     numeric           66
## 117       Thyroxine_Binding_Globulin     numeric           49
## 118                    Tissue_Factor     numeric           67
## 119                      Transferrin     numeric           30
## 120            Trefoil_Factor_3_TFF3     numeric           37
## 121                           VCAM_1     numeric           40
## 122                             VEGF     numeric          200
## 123                      Vitronectin     numeric           71
## 124            von_Willebrand_Factor     numeric           43
##     Unique.Count.Ratio First.Mode.Value Second.Mode.Value First.Mode.Count
## 1                0.199            1.157             1.107               14
## 2                0.120           -1.609            -1.715               20
## 3                0.221            0.191             0.530               29
## 4                0.341           -5.991            -4.200                7
## 5                0.243            1.194             1.099               12
## 6                0.240          -12.907           -13.310               11
## 7                0.307           -3.244            -3.270               13
## 8                0.176         -179.087          -194.947               21
## 9                0.135            0.531             0.642               23
## 10               0.506            2.262             2.107                9
## 11               0.199           -2.040            -1.772               30
## 12               0.311           -7.902            -7.452                8
## 13               0.318           -0.968            -0.755                9
## 14               0.311           -6.211            -7.289               11
## 15               0.184           -1.715            -1.661               23
## 16               0.307           -2.120            -2.207               17
## 17               0.236            1.308             1.386               11
## 18               0.296            2.720             4.024               11
## 19               0.307            0.097            -0.383               14
## 20               0.131            2.371             1.981               36
## 21               0.157           -1.675            -1.845               30
## 22               0.187            0.095             0.182               38
## 23               0.135           51.000            42.000               50
## 24               0.506           -5.745            -6.571                7
## 25               0.127           -1.242            -1.273               25
## 26               0.307            0.095             0.182               17
## 27               0.521           21.495            20.891                8
## 28               0.348            0.693             0.956               15
## 29               0.393          315.308           361.583                9
## 30               0.116            2.773             2.890               25
## 31               0.236          -16.545           -18.173               15
## 32               0.326            4.024             4.475               22
## 33               0.097            0.693             0.788               25
## 34               0.195           12.000            11.000               38
## 35               0.120           -1.671            -1.724               27
## 36               0.794            8.470             8.357                4
## 37               0.221           -0.590            -0.700               12
## 38               0.356           -4.200            -4.423               11
## 39               0.146           -1.368            -1.364               39
## 40               0.157           64.000            44.000               38
## 41               0.195           -0.713            -0.528               23
## 42               0.363           -1.064            -1.361               10
## 43               0.213            3.101             2.792               19
## 44               0.315            0.624             0.269                9
## 45               0.281            2.382             3.329                8
## 46               0.251            1.281             1.224               15
## 47               0.341           -6.571            -7.601                7
## 48               0.094            1.398             1.372               32
## 49               0.783            2.789             2.584                4
## 50               0.157            0.968             0.985               20
## 51               0.202            6.413             6.560               17
## 52               0.199           -3.576            -3.689               15
## 53               0.165            0.095             0.182               45
## 54               0.169            2.944             2.996               21
## 55               0.255           -0.489            -0.590               19
## 56               0.472            5.328             5.187                7
## 57               0.281            2.031             5.122               16
## 58               0.067            1.283             1.274               41
## 59               0.206            3.077             2.924               21
## 60               0.165            5.325             4.749               30
## 61               0.225           -7.264            -7.849               35
## 62               0.217           -3.912            -4.075               20
## 63               0.176            1.808             1.209               25
## 64               0.180            0.182             0.336               27
## 65               0.199            0.096            -0.242               19
## 66               0.199            0.273             0.000               26
## 67               0.172            2.155             3.476               33
## 68               0.210            1.676             1.691               15
## 69               0.790            5.687             5.050                3
## 70               0.352           -6.645            -6.502               11
## 71               0.206           -1.277            -1.341               19
## 72               0.187           -1.172            -1.144               11
## 73               0.251            1.281             1.131               13
## 74               0.307           -1.329            -1.466               17
## 75               0.479           -4.343            -4.423                8
## 76               0.820            6.213             6.293                4
## 77               0.146            1.530             1.853               32
## 78               0.161           -1.897            -2.120               29
## 79               0.184            5.359             3.690               21
## 80               0.176            2.944             2.833               22
## 81               0.180            2.332             3.266               36
## 82               0.300           -2.207            -2.120               18
## 83               0.210           -3.689            -3.963               14
## 84               0.333           -3.774            -3.345               24
## 85               0.434           -2.040            -1.609               11
## 86               0.416            4.466             4.554                8
## 87               0.472            4.489             3.912                6
## 88               0.622            5.288             5.187                6
## 89               0.262            0.094             0.177               25
## 90               0.127           -2.971            -2.902               26
## 91               0.322            3.738             3.714               10
## 92               0.127            2.833             2.996               38
## 93               0.303            0.182             0.336               14
## 94               0.213            0.095             0.182               32
## 95               0.161           -1.690            -1.710               26
## 96               0.090           -2.358            -2.259               36
## 97               0.202           -1.386            -1.772               16
## 98               0.146           -6.571            -6.502               28
## 99               0.221          -20.661           -23.322               14
## 100              0.131            0.946             1.055               22
## 101              0.281           -0.400             0.095               12
## 102              0.345           -2.207            -1.772               24
## 103              0.614            5.263             5.468                9
## 104              0.277           -6.032            -6.215               14
## 105              0.243            3.461             3.924               11
## 106              0.165            3.401             3.045               18
## 107              0.232           10.186            10.858               10
## 108              0.210           11.266            11.856               15
## 109              0.270           -0.755            -0.598                9
## 110              0.225           -0.683            -0.471               13
## 111              0.060            2.833             2.890               48
## 112              0.225           -3.096            -3.123               20
## 113              0.131           -1.579            -1.534               26
## 114              0.202           -0.886            -0.658               20
## 115              0.139            4.149             3.637               20
## 116              0.247           -6.190            -4.605               15
## 117              0.184           -1.715            -1.661               19
## 118              0.251            0.742             1.435                9
## 119              0.112            2.890             2.773               29
## 120              0.139           -4.017            -3.730               19
## 121              0.150            2.708             2.565               27
## 122              0.749           15.756            17.476                4
## 123              0.266            0.095             0.182               14
## 124              0.161           -4.269            -4.343               18
##     Second.Mode.Count First.Second.Mode.Ratio  Minimum     Mean   Median
## 1                  11                   1.273   -0.676    1.320    1.301
## 2                  19                   1.053   -2.207   -1.538   -1.561
## 3                  26                   1.115   -0.923    0.309    0.280
## 4                   6                   1.167   -6.725   -5.201   -5.185
## 5                  10                   1.200    0.262    1.361    1.361
## 6                  10                   1.100  -17.028  -13.052  -13.004
## 7                   8                   1.625   -4.343   -2.932   -2.937
## 8                  20                   1.050 -289.685 -158.615 -160.010
## 9                  20                   1.150   -0.545    0.673    0.642
## 10                  7                   1.286    1.752    2.318    2.320
## 11                 21                   1.429   -2.957   -1.854   -1.833
## 12                  7                   1.143   -8.680   -7.483   -7.470
## 13                  8                   1.125   -1.897   -0.635   -0.673
## 14                  9                   1.222   -9.937   -5.578   -5.703
## 15                 18                   1.278   -3.324   -1.583   -1.609
## 16                 15                   1.133   -3.689   -2.494   -2.526
## 17                 10                   1.100    0.470    1.440    1.411
## 18                 10                   1.100    0.591    2.806    2.818
## 19                  9                   1.556   -2.234   -0.321   -0.370
## 20                 30                   1.200    0.732    2.017    1.981
## 21                 29                   1.034   -2.761   -1.911   -1.877
## 22                 36                   1.056   -0.545    0.168    0.182
## 23                 31                   1.613   10.000   51.011   51.000
## 24                  6                   1.167   -8.517   -5.874   -5.843
## 25                 20                   1.250   -1.864   -1.258   -1.273
## 26                 16                   1.062   -1.238   -0.053   -0.062
## 27                  6                   1.333   10.961   22.433   22.249
## 28                 13                   1.154   -0.713    1.679    1.649
## 29                  8                   1.125  135.605  333.298  331.520
## 30                 21                   1.190    1.872    2.882    2.890
## 31                 13                   1.154  -23.387  -15.610  -15.524
## 32                 19                   1.158   -0.839    3.554    3.600
## 33                 24                   1.042    0.182    0.774    0.788
## 34                 34                   1.118    0.100   11.984   12.000
## 35                 24                   1.125   -1.872   -1.674   -1.671
## 36                  3                   1.333    7.432    8.586    8.564
## 37                 11                   1.091   -1.361   -0.701   -0.684
## 38                 10                   1.100   -8.377   -3.635   -3.650
## 39                 22                   1.773   -1.405   -1.372   -1.374
## 40                 26                   1.462    7.000   58.172   59.000
## 41                 19                   1.211   -1.514   -0.529   -0.528
## 42                  9                   1.111   -2.115   -1.143   -1.136
## 43                 14                   1.357   -0.154    2.968    3.101
## 44                  8                   1.125   -1.044    1.353    1.387
## 45                  7                   1.143    0.608    2.765    2.775
## 46                 12                   1.250    0.470    1.350    1.308
## 47                  6                   1.167   -8.874   -7.356   -7.323
## 48                 28                   1.143    1.271    1.378    1.382
## 49                  3                   1.333    2.393    2.786    2.783
## 50                 18                   1.111    0.524    0.951    0.968
## 51                 13                   1.308    2.103    6.833    6.703
## 52                 14                   1.071   -4.510   -3.500   -3.507
## 53                 27                   1.667   -0.635    0.196    0.182
## 54                 19                   1.105    1.758    2.958    2.944
## 55                 14                   1.357   -1.533   -0.591   -0.590
## 56                  6                   1.167    4.635    5.317    5.323
## 57                 10                   1.600    1.755    4.725    4.805
## 58                 38                   1.079    1.259    1.284    1.283
## 59                 20                   1.050    1.187    2.929    2.909
## 60                 25                   1.200    1.052    4.855    4.749
## 61                 26                   1.346   -8.517   -7.514   -7.524
## 62                 17                   1.176   -5.915   -3.941   -3.912
## 63                 20                   1.250    0.531    1.773    1.808
## 64                 26                   1.038   -1.427    0.187    0.182
## 65                 16                   1.188   -1.534   -0.154   -0.160
## 66                 24                   1.083   -0.676    0.095    0.097
## 67                 18                   1.833    0.560    2.839    2.793
## 68                 13                   1.154    1.574    1.704    1.705
## 69                  2                   1.500    4.317    5.755    5.753
## 70                 10                   1.100  -10.520   -6.121   -6.119
## 71                 16                   1.188   -2.169   -1.233   -1.246
## 72                 10                   1.100   -1.256   -1.185   -1.183
## 73                 12                   1.083    0.000    1.283    1.281
## 74                 15                   1.133   -2.147   -1.504   -1.505
## 75                  7                   1.143   -6.812   -4.417   -4.605
## 76                  3                   1.333    5.826    6.497    6.494
## 77                 24                   1.333    0.401    1.869    1.853
## 78                 25                   1.160   -2.847   -1.864   -1.897
## 79                 14                   1.500    0.935    4.049    4.050
## 80                 21                   1.048    1.946    2.814    2.833
## 81                 22                   1.636    0.098    2.875    2.815
## 82                 17                   1.059   -4.423   -2.446   -2.453
## 83                 13                   1.077   -4.934   -3.635   -3.650
## 84                 13                   1.846   -8.398   -3.789   -3.774
## 85                 10                   1.100   -3.170   -1.367   -1.470
## 86                  7                   1.143    3.178    4.552    4.554
## 87                  5                   1.200    2.639    4.362    4.394
## 88                  5                   1.200    4.111    5.204    5.187
## 89                 20                   1.250   -0.991    0.077    0.094
## 90                 25                   1.040   -3.311   -2.854   -2.871
## 91                  9                   1.111    2.485    3.912    3.871
## 92                 27                   1.407    2.186    3.015    2.996
## 93                 11                   1.273   -2.120   -0.013   -0.041
## 94                 30                   1.067   -1.309    0.045    0.000
## 95                 21                   1.238   -1.934   -1.685   -1.690
## 96                 30                   1.200   -3.338   -2.240   -2.259
## 97                 14                   1.143   -2.513   -1.488   -1.514
## 98                 22                   1.273   -7.222   -6.511   -6.502
## 99                 13                   1.077  -34.967  -17.641  -17.466
## 100                20                   1.100    0.187    1.251    1.254
## 101                10                   1.200   -1.347   -0.406   -0.400
## 102                11                   2.182   -4.135   -2.477   -2.489
## 103                 6                   1.500    4.317    5.336    5.366
## 104                12                   1.167   -7.506   -6.017   -6.032
## 105                10                   1.100    1.654    3.852    3.867
## 106                15                   1.200    2.251    3.301    3.296
## 107                 9                   1.111    6.843    9.801    9.919
## 108                13                   1.154    1.742   11.750   11.565
## 109                 8                   1.125   -1.661   -0.594   -0.598
## 110                12                   1.083   -1.211   -0.539   -0.532
## 111                47                   1.021    2.485    2.854    2.833
## 112                18                   1.111   -3.206   -3.116   -3.117
## 113                21                   1.238   -2.038   -1.505   -1.492
## 114                17                   1.176   -1.540   -0.754   -0.751
## 115                19                   1.053    1.508    3.848    3.810
## 116                14                   1.071   -6.190   -4.499   -4.510
## 117                18                   1.056   -2.477   -1.479   -1.514
## 118                 8                   1.125   -0.211    1.170    1.224
## 119                28                   1.036    1.932    2.909    2.890
## 120                18                   1.056   -4.744   -3.876   -3.863
## 121                24                   1.125    1.723    2.688    2.708
## 122                 3                   1.333   11.831   16.988   17.077
## 123                12                   1.167   -1.427   -0.285   -0.301
## 124                17                   1.059   -4.991   -3.906   -3.912
##     Maximum Skewness Kurtosis Percentile25th Percentile75th
## 1     2.840   -0.101    2.975          0.946          1.719
## 2    -0.844    0.028    2.746         -1.715         -1.347
## 3     1.521    0.038    2.866          0.000          0.608
## 4    -3.507    0.108    2.713         -5.669         -4.780
## 5     2.303    0.034    3.103          1.131          1.589
## 6    -8.192    0.164    3.586        -14.071        -12.096
## 7    -1.772    0.027    2.648         -3.270         -2.590
## 8   -59.456   -0.034    3.026       -186.641       -134.622
## 9     1.526   -0.168    3.639          0.470          0.875
## 10    2.881   -0.042    2.370          2.119          2.497
## 11   -0.777    0.046    3.028         -2.120         -1.609
## 12   -6.166   -0.016    3.085         -7.763         -7.209
## 13    0.956    0.279    2.957         -0.968         -0.315
## 14   -2.153   -0.032    2.767         -6.630         -4.539
## 15   -0.274    0.088    4.317         -1.833         -1.367
## 16   -1.238    0.245    3.246         -2.773         -2.207
## 17    2.272    0.001    2.732          1.209          1.668
## 18    5.444    0.064    3.288          2.334          3.286
## 19    0.927    0.097    4.888         -0.598         -0.061
## 20    4.024    0.050    3.410          1.673          2.371
## 21   -0.817    0.055    3.667         -2.152         -1.675
## 22    0.993   -0.022    2.906         -0.041          0.336
## 23   82.000   -0.026    3.431         42.000         59.000
## 24   -2.937    0.032    2.515         -6.645         -5.083
## 25   -0.547    0.157    3.504         -1.376         -1.124
## 26    1.163    0.095    2.918         -0.357          0.262
## 27   33.777   -0.042    3.250         19.771         24.795
## 28    3.892    0.109    2.731          0.956          2.282
## 29  535.397   -0.055    2.708        278.025        392.067
## 30    3.584   -0.186    3.336          2.708          3.045
## 31   -9.563   -0.028    2.547        -17.567        -13.882
## 32    7.624    0.065    3.873          2.753          4.255
## 33    1.411    0.015    3.002          0.642          0.916
## 34   29.000    0.586    5.953          9.800         14.000
## 35   -1.384    0.086    3.197         -1.724         -1.626
## 36    9.694    0.157    3.075          8.321          8.839
## 37   -0.061   -0.163    2.797         -0.857         -0.546
## 38   -0.386    0.068    6.513         -4.200         -3.147
## 39   -1.339    0.091    2.965         -1.381         -1.364
## 40  107.000    0.074    2.842         44.000         70.000
## 41    0.336   -0.085    2.755         -0.713         -0.315
## 42    0.097    0.114    2.612         -1.466         -0.876
## 43    7.633    0.000    4.024          2.341          3.695
## 44    3.706    0.037    3.003          0.800          1.885
## 45    4.633   -0.127    2.981          2.290          3.292
## 46    2.251    0.165    2.609          1.099          1.609
## 47   -5.843    0.006    3.171         -7.717         -7.013
## 48    1.495   -0.219    2.941          1.351          1.406
## 49    3.065   -0.158    2.829          2.707          2.873
## 50    1.318    0.044    2.589          0.844          1.034
## 51   10.695    0.020    2.900          5.786          7.865
## 52   -2.120    0.260    3.591         -3.730         -3.270
## 53    0.875   -0.055    2.708          0.000          0.405
## 54    4.143   -0.174    3.467          2.708          3.219
## 55    0.517   -0.040    2.979         -0.830         -0.383
## 56    5.948   -0.110    3.296          5.179          5.453
## 57    8.491    0.000    2.480          3.706          5.776
## 58    1.321    0.402    3.316          1.274          1.290
## 59    4.937    0.175    3.117          2.521          3.351
## 60    8.952   -0.012    3.326          4.149          5.631
## 61   -5.952    0.299    3.530         -7.824         -7.264
## 62   -2.453   -0.150    3.642         -4.269         -3.631
## 63    3.045    0.004    2.822          1.459          2.146
## 64    1.946   -0.045    3.687         -0.122          0.470
## 65    1.814    0.016    4.021         -0.413          0.141
## 66    0.831   -0.132    2.443         -0.125          0.354
## 67    5.706   -0.022    2.488          2.155          3.706
## 68    1.807   -0.145    3.470          1.680          1.728
## 69    7.501    0.293    3.317          5.398          6.064
## 70   -4.200   -0.607    6.399         -6.645         -5.573
## 71   -0.159   -0.025    3.691         -1.447         -1.034
## 72   -1.105    0.012    2.880         -1.204         -1.164
## 73    2.272   -0.020    3.061          1.030          1.526
## 74   -0.621    0.053    3.019         -1.700         -1.329
## 75   -1.386    0.344    2.390         -5.308         -3.490
## 76    7.230   -0.015    2.788          6.319          6.678
## 77    4.024    0.000    3.957          1.530          2.182
## 78   -0.844    0.160    3.034         -2.120         -1.661
## 79    6.796    0.151    2.810          3.338          4.686
## 80    4.007    0.206    3.001          2.565          3.045
## 81    5.359   -0.113    2.953          2.332          3.551
## 82   -0.528   -0.114    3.615         -2.749         -2.120
## 83   -2.207    0.240    3.361         -3.938         -3.352
## 84   -0.222   -0.035    2.703         -4.820         -2.714
## 85    1.775    0.704    3.638         -2.040         -0.799
## 86    5.886   -0.160    4.130          4.350          4.775
## 87    6.011   -0.244    3.244          3.998          4.749
## 88    6.308    0.031    3.223          4.963          5.442
## 89    1.166    0.045    2.750         -0.167          0.320
## 90   -2.520   -0.029    2.698         -2.936         -2.749
## 91    5.170   -0.092    3.011          3.638          4.205
## 92    3.932    0.166    3.434          2.833          3.178
## 93    1.932    0.076    2.690         -0.528          0.531
## 94    0.993   -0.045    4.693         -0.139          0.258
## 95   -1.424    0.193    5.276         -1.717         -1.654
## 96   -1.221    0.041    3.459         -2.464         -2.000
## 97   -0.274    0.244    2.621         -1.833         -1.171
## 98   -5.547    0.170    2.912         -6.725         -6.320
## 99   -2.239   -0.050    2.997        -21.468        -13.501
## 100   2.373   -0.007    2.971          1.001          1.500
## 101   0.742    0.142    3.370         -0.635         -0.198
## 102  -1.109   -0.066    2.965         -2.813         -2.120
## 103   6.317   -0.145    3.061          5.094          5.583
## 104  -4.646   -0.127    2.900         -6.377         -5.655
## 105   6.225    0.056    2.885          3.343          4.371
## 106   4.277    0.056    2.906          3.045          3.526
## 107  13.827   -0.021    2.809          8.859         10.695
## 108  18.881    0.157    6.004         10.490         12.697
## 109   0.470    0.044    3.110         -0.821         -0.378
## 110   0.269    0.070    3.256         -0.701         -0.385
## 111   3.332    0.226    3.255          2.773          2.944
## 112  -2.995    0.059    3.762         -3.137         -3.096
## 113  -0.817   -0.024    2.875         -1.626         -1.341
## 114   0.098    0.239    3.382         -0.886         -0.629
## 115   6.225    0.032    3.693          3.343          4.316
## 116  -1.715    0.024    3.719         -4.962         -4.017
## 117  -0.211    0.331    2.879         -1.772         -1.238
## 118   2.485   -0.180    2.887          0.833          1.482
## 119   3.761   -0.035    3.828          2.708          3.091
## 120  -2.957    0.151    2.781         -4.135         -3.650
## 121   3.689   -0.064    3.124          2.485          2.890
## 122  22.380    0.102    3.290         15.773         18.095
## 123   0.531   -0.038    2.760         -0.511         -0.036
## 124  -2.957   -0.124    2.625         -4.200         -3.612
##################################
# Identifying potential data quality issues
##################################

##################################
# Checking for missing observations
##################################
if ((nrow(DQA.Summary[DQA.Summary$NA.Count>0,]))>0){
  print(paste0("Missing observations noted for ",
               (nrow(DQA.Summary[DQA.Summary$NA.Count>0,])),
               " variable(s) with NA.Count>0 and Fill.Rate<1.0."))
  DQA.Summary[DQA.Summary$NA.Count>0,]
} else {
  print("No missing observations noted.")
}
## [1] "No missing observations noted."
##################################
# Checking for zero or near-zero variance predictors
##################################
if (length(names(DQA.Predictors.Factor))==0) {
  print("No factor predictors noted.")
} else if (nrow(DQA.Predictors.Factor.Summary[as.numeric(as.character(DQA.Predictors.Factor.Summary$First.Second.Mode.Ratio))>5,])>0){
  print(paste0("Low variance observed for ",
               (nrow(DQA.Predictors.Factor.Summary[as.numeric(as.character(DQA.Predictors.Factor.Summary$First.Second.Mode.Ratio))>5,])),
               " factor variable(s) with First.Second.Mode.Ratio>5."))
  DQA.Predictors.Factor.Summary[as.numeric(as.character(DQA.Predictors.Factor.Summary$First.Second.Mode.Ratio))>5,]
} else {
  print("No low variance factor predictors due to high first-second mode ratio noted.")
}
## [1] "Low variance observed for 2 factor variable(s) with First.Second.Mode.Ratio>5."
##   Column.Name Column.Type Unique.Count First.Mode.Value Second.Mode.Value
## 2          E3   character            2                1                 0
## 3          E2   character            2                0                 1
##   First.Mode.Count Second.Mode.Count Unique.Count.Ratio First.Second.Mode.Ratio
## 2              245                22              0.007                  11.136
## 3              224                43              0.007                   5.209
if (length(names(DQA.Predictors.Numeric))==0) {
  print("No numeric predictors noted.")
} else if (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$First.Second.Mode.Ratio))>5,])>0){
  print(paste0("Low variance observed for ",
               (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$First.Second.Mode.Ratio))>5,])),
               " numeric variable(s) with First.Second.Mode.Ratio>5."))
  DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$First.Second.Mode.Ratio))>5,]
} else {
  print("No low variance numeric predictors due to high first-second mode ratio noted.")
}
## [1] "No low variance numeric predictors due to high first-second mode ratio noted."
if (length(names(DQA.Predictors.Numeric))==0) {
  print("No numeric predictors noted.")
} else if (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Unique.Count.Ratio))<0.01,])>0){
  print(paste0("Low variance observed for ",
               (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Unique.Count.Ratio))<0.01,])),
               " numeric variable(s) with Unique.Count.Ratio<0.01."))
  DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Unique.Count.Ratio))<0.01,]
} else {
  print("No low variance numeric predictors due to low unique count ratio noted.")
}
## [1] "No low variance numeric predictors due to low unique count ratio noted."
##################################
# Checking for skewed predictors
##################################
if (length(names(DQA.Predictors.Numeric))==0) {
  print("No numeric predictors noted.")
} else if (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))>3 |
                                               as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))<(-3),])>0){
  print(paste0("High skewness observed for ",
  (nrow(DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))>3 |
                                               as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))<(-3),])),
  " numeric variable(s) with Skewness>3 or Skewness<(-3)."))
  DQA.Predictors.Numeric.Summary[as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))>3 |
                                 as.numeric(as.character(DQA.Predictors.Numeric.Summary$Skewness))<(-3),]
} else {
  print("No skewed numeric predictors noted.")
}
## [1] "No skewed numeric predictors noted."

1.3 Data Preprocessing

1.3.1 Outlier


[A] Few outliers noted for most variables with the numeric data visualized through a boxplot including observations classified as suspected outliers using the IQR criterion. The IQR criterion means that all observations above the (75th percentile + 1.5 x IQR) or below the (25th percentile - 1.5 x IQR) are suspected outliers, where IQR is the difference between the third quartile (75th percentile) and first quartile (25th percentile). Outlier treatment for numerical stability remains optional depending on potential model requirements for the subsequent steps. 6 variables were observed with at least 10 outliers listed as follows:
     [A.1] Apolipoprotein_CI variable (10 outliers detected)
     [A.2] Cortisol variable (11 outliers detected)
     [A.3] IL_17E variable (11 outliers detected)
     [A.4] IL6 variable (19 outliers detected)
     [A.5] MCP_2 variable (21 outliers detected)
     [A.6] Prostatic_Acid_Phospatase variable (10 outliers detected)

Code Chunk | Output
##################################
# Loading dataset
##################################
DPA <- Alzheimer_Train

##################################
# Listing all predictors
##################################
DPA.Predictors <- DPA[,!names(DPA) %in% c("Class")]

##################################
# Listing all numeric predictors
##################################
DPA.Predictors.Numeric <- DPA.Predictors[,!names(DPA.Predictors) %in% c("E2","E3","E4")]
DPA.Predictors.Numeric <- as.data.frame(sapply(DPA.Predictors.Numeric,function(x) as.numeric(x)))

##################################
# Identifying outliers for the numeric predictors
##################################
OutlierCountList <- c()

for (i in 1:ncol(DPA.Predictors.Numeric)) {
  Outliers <- boxplot.stats(DPA.Predictors.Numeric[,i])$out
  OutlierCount <- length(Outliers)
  OutlierCountList <- append(OutlierCountList,OutlierCount)
  OutlierIndices <- which(DPA.Predictors.Numeric[,i] %in% c(Outliers))
  boxplot(DPA.Predictors.Numeric[,i], 
          ylab = names(DPA.Predictors.Numeric)[i], 
          main = names(DPA.Predictors.Numeric)[i],
          horizontal=TRUE)
  mtext(paste0(OutlierCount, " Outlier(s) Detected"))
}

OutlierCountSummary <- as.data.frame(cbind(names(DPA.Predictors.Numeric),(OutlierCountList)))
names(OutlierCountSummary) <- c("NumericPredictors","OutlierCount")
OutlierCountSummary$OutlierCount <- as.numeric(as.character(OutlierCountSummary$OutlierCount))
NumericPredictorWithOutlierCount <- nrow(OutlierCountSummary[OutlierCountSummary$OutlierCount>0,])
print(paste0(NumericPredictorWithOutlierCount, " numeric variable(s) were noted with outlier(s)." ))
## [1] "105 numeric variable(s) were noted with outlier(s)."
##################################
# Gathering descriptive statistics
##################################
(DPA_Skimmed <- skim(DPA.Predictors.Numeric))
Data summary
Name DPA.Predictors.Numeric
Number of rows 267
Number of columns 124
_______________________
Column type frequency:
numeric 124
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
ACE_CD143_Angiotensin_Converti 0 1 1.32 0.54 -0.68 0.95 1.30 1.72 2.84 ▁▃▇▇▁
ACTH_Adrenocorticotropic_Hormon 0 1 -1.54 0.28 -2.21 -1.71 -1.56 -1.35 -0.84 ▂▆▇▆▂
AXL 0 1 0.31 0.45 -0.92 0.00 0.28 0.61 1.52 ▁▅▇▃▁
Adiponectin 0 1 -5.20 0.67 -6.73 -5.67 -5.18 -4.78 -3.51 ▂▆▇▅▁
Alpha_1_Antichymotrypsin 0 1 1.36 0.36 0.26 1.13 1.36 1.59 2.30 ▁▃▇▅▁
Alpha_1_Antitrypsin 0 1 -13.05 1.48 -17.03 -14.07 -13.00 -12.10 -8.19 ▁▅▇▂▁
Alpha_1_Microglobulin 0 1 -2.93 0.48 -4.34 -3.27 -2.94 -2.59 -1.77 ▁▅▇▇▂
Alpha_2_Macroglobulin 0 1 -158.61 40.93 -289.68 -186.64 -160.01 -134.62 -59.46 ▁▂▇▅▂
Angiopoietin_2_ANG_2 0 1 0.67 0.33 -0.54 0.47 0.64 0.88 1.53 ▁▂▇▆▂
Angiotensinogen 0 1 2.32 0.25 1.75 2.12 2.32 2.50 2.88 ▃▆▇▇▂
Apolipoprotein_A_IV 0 1 -1.85 0.38 -2.96 -2.12 -1.83 -1.61 -0.78 ▁▃▇▃▁
Apolipoprotein_A1 0 1 -7.48 0.44 -8.68 -7.76 -7.47 -7.21 -6.17 ▁▅▇▃▁
Apolipoprotein_A2 0 1 -0.64 0.50 -1.90 -0.97 -0.67 -0.31 0.96 ▁▇▇▃▁
Apolipoprotein_B 0 1 -5.58 1.48 -9.94 -6.63 -5.70 -4.54 -2.15 ▁▅▇▇▂
Apolipoprotein_CI 0 1 -1.58 0.41 -3.32 -1.83 -1.61 -1.37 -0.27 ▁▁▇▅▁
Apolipoprotein_CIII 0 1 -2.49 0.44 -3.69 -2.77 -2.53 -2.21 -1.24 ▁▅▇▅▁
Apolipoprotein_D 0 1 1.44 0.34 0.47 1.21 1.41 1.67 2.27 ▁▃▇▆▂
Apolipoprotein_E 0 1 2.81 0.78 0.59 2.33 2.82 3.29 5.44 ▁▅▇▂▁
Apolipoprotein_H 0 1 -0.32 0.39 -2.23 -0.60 -0.37 -0.06 0.93 ▁▁▇▆▁
B_Lymphocyte_Chemoattractant_BL 0 1 2.02 0.57 0.73 1.67 1.98 2.37 4.02 ▃▇▇▁▁
BMP_6 0 1 -1.91 0.31 -2.76 -2.15 -1.88 -1.68 -0.82 ▁▅▇▂▁
Beta_2_Microglobulin 0 1 0.17 0.30 -0.54 -0.04 0.18 0.34 0.99 ▂▃▇▃▁
Betacellulin 0 1 51.01 10.87 10.00 42.00 51.00 59.00 82.00 ▁▁▇▅▁
C_Reactive_Protein 0 1 -5.87 1.20 -8.52 -6.65 -5.84 -5.08 -2.94 ▃▆▇▆▂
CD40 0 1 -1.26 0.21 -1.86 -1.38 -1.27 -1.12 -0.55 ▁▆▇▃▁
CD5L 0 1 -0.05 0.45 -1.24 -0.36 -0.06 0.26 1.16 ▁▅▇▃▁
Calbindin 0 1 22.43 4.11 10.96 19.77 22.25 24.80 33.78 ▁▃▇▃▁
Calcitonin 0 1 1.68 0.87 -0.71 0.96 1.65 2.28 3.89 ▁▆▇▅▂
CgA 0 1 333.30 83.67 135.60 278.02 331.52 392.07 535.40 ▂▆▇▅▂
Clusterin_Apo_J 0 1 2.88 0.29 1.87 2.71 2.89 3.04 3.58 ▁▂▇▆▂
Complement_3 0 1 -15.61 2.46 -23.39 -17.57 -15.52 -13.88 -9.56 ▁▆▇▇▂
Complement_Factor_H 0 1 3.55 1.25 -0.84 2.75 3.60 4.25 7.62 ▁▃▇▅▁
Connective_Tissue_Growth_Factor 0 1 0.77 0.20 0.18 0.64 0.79 0.92 1.41 ▁▅▇▃▁
Cortisol 0 1 11.98 3.95 0.10 9.80 12.00 14.00 29.00 ▁▇▇▁▁
Creatine_Kinase_MB 0 1 -1.67 0.09 -1.87 -1.72 -1.67 -1.63 -1.38 ▃▅▇▂▁
Cystatin_C 0 1 8.59 0.40 7.43 8.32 8.56 8.84 9.69 ▁▅▇▃▁
EGF_R 0 1 -0.70 0.22 -1.36 -0.86 -0.68 -0.55 -0.06 ▁▃▇▅▁
EN_RAGE 0 1 -3.64 0.88 -8.38 -4.20 -3.65 -3.15 -0.39 ▁▁▇▆▁
ENA_78 0 1 -1.37 0.01 -1.41 -1.38 -1.37 -1.36 -1.34 ▁▅▇▅▁
Eotaxin_3 0 1 58.17 15.83 7.00 44.00 59.00 70.00 107.00 ▁▆▇▅▁
FAS 0 1 -0.53 0.30 -1.51 -0.71 -0.53 -0.31 0.34 ▁▃▇▆▁
FSH_Follicle_Stimulation_Hormon 0 1 -1.14 0.42 -2.12 -1.47 -1.14 -0.88 0.10 ▂▇▇▃▁
Fas_Ligand 0 1 2.97 1.09 -0.15 2.34 3.10 3.70 7.63 ▂▇▇▁▁
Fatty_Acid_Binding_Protein 0 1 1.35 0.78 -1.04 0.80 1.39 1.88 3.71 ▁▅▇▅▁
Ferritin 0 1 2.76 0.76 0.61 2.29 2.77 3.29 4.63 ▁▃▇▆▂
Fetuin_A 0 1 1.35 0.37 0.47 1.10 1.31 1.61 2.25 ▂▆▇▅▂
Fibrinogen 0 1 -7.36 0.57 -8.87 -7.72 -7.32 -7.01 -5.84 ▁▅▇▅▁
GRO_alpha 0 1 1.38 0.04 1.27 1.35 1.38 1.41 1.49 ▂▃▇▅▁
Gamma_Interferon_induced_Monokin 0 1 2.79 0.11 2.39 2.71 2.78 2.87 3.07 ▁▂▇▆▂
Glutathione_S_Transferase_alpha 0 1 0.95 0.16 0.52 0.84 0.97 1.03 1.32 ▁▃▇▅▂
HB_EGF 0 1 6.83 1.51 2.10 5.79 6.70 7.86 10.70 ▁▃▇▆▂
HCC_4 0 1 -3.50 0.36 -4.51 -3.73 -3.51 -3.27 -2.12 ▂▇▇▂▁
Hepatocyte_Growth_Factor_HGF 0 1 0.20 0.29 -0.63 0.00 0.18 0.41 0.88 ▁▃▇▅▂
I_309 0 1 2.96 0.37 1.76 2.71 2.94 3.22 4.14 ▁▅▇▃▁
ICAM_1 0 1 -0.59 0.33 -1.53 -0.83 -0.59 -0.38 0.52 ▁▅▇▃▁
IGF_BP_2 0 1 5.32 0.20 4.63 5.18 5.32 5.45 5.95 ▁▃▇▅▁
IL_11 0 1 4.72 1.45 1.75 3.71 4.81 5.78 8.49 ▃▆▇▅▁
IL_13 0 1 1.28 0.01 1.26 1.27 1.28 1.29 1.32 ▂▇▆▂▁
IL_16 0 1 2.93 0.66 1.19 2.52 2.91 3.35 4.94 ▁▆▇▃▁
IL_17E 0 1 4.85 1.34 1.05 4.15 4.75 5.63 8.95 ▁▆▇▃▁
IL_1alpha 0 1 -7.51 0.39 -8.52 -7.82 -7.52 -7.26 -5.95 ▂▇▇▂▁
IL_3 0 1 -3.94 0.50 -5.91 -4.27 -3.91 -3.63 -2.45 ▁▂▇▅▁
IL_4 0 1 1.77 0.51 0.53 1.46 1.81 2.15 3.04 ▂▅▇▅▂
IL_5 0 1 0.19 0.46 -1.43 -0.12 0.18 0.47 1.95 ▁▃▇▂▁
IL_6 0 1 -0.15 0.55 -1.53 -0.41 -0.16 0.14 1.81 ▂▆▇▂▁
IL_6_Receptor 0 1 0.09 0.32 -0.68 -0.13 0.10 0.35 0.83 ▂▆▇▆▂
IL_7 0 1 2.84 1.05 0.56 2.15 2.79 3.71 5.71 ▃▇▇▆▁
IL_8 0 1 1.70 0.04 1.57 1.68 1.71 1.73 1.81 ▁▂▇▆▁
IP_10_Inducible_Protein_10 0 1 5.75 0.51 4.32 5.40 5.75 6.06 7.50 ▁▆▇▂▁
IgA 0 1 -6.12 0.76 -10.52 -6.65 -6.12 -5.57 -4.20 ▁▁▂▇▂
Insulin 0 1 -1.23 0.34 -2.17 -1.45 -1.25 -1.03 -0.16 ▁▃▇▂▁
Kidney_Injury_Molecule_1_KIM_1 0 1 -1.18 0.03 -1.26 -1.20 -1.18 -1.16 -1.10 ▁▇▇▅▁
LOX_1 0 1 1.28 0.40 0.00 1.03 1.28 1.53 2.27 ▁▂▇▅▂
Leptin 0 1 -1.50 0.27 -2.15 -1.70 -1.50 -1.33 -0.62 ▂▇▇▂▁
Lipoprotein_a 0 1 -4.42 1.11 -6.81 -5.31 -4.61 -3.49 -1.39 ▂▇▅▅▁
MCP_1 0 1 6.50 0.26 5.83 6.32 6.49 6.68 7.23 ▂▅▇▅▁
MCP_2 0 1 1.87 0.65 0.40 1.53 1.85 2.18 4.02 ▂▆▇▂▁
MIF 0 1 -1.86 0.34 -2.85 -2.12 -1.90 -1.66 -0.84 ▁▃▇▃▁
MIP_1alpha 0 1 4.05 1.01 0.93 3.34 4.05 4.69 6.80 ▁▅▇▅▂
MIP_1beta 0 1 2.81 0.38 1.95 2.56 2.83 3.04 4.01 ▂▅▇▂▁
MMP_2 0 1 2.88 0.93 0.10 2.33 2.82 3.55 5.36 ▁▃▇▆▁
MMP_3 0 1 -2.45 0.57 -4.42 -2.75 -2.45 -2.12 -0.53 ▁▂▇▃▁
MMP10 0 1 -3.63 0.43 -4.93 -3.94 -3.65 -3.35 -2.21 ▁▆▇▃▁
MMP7 0 1 -3.79 1.55 -8.40 -4.82 -3.77 -2.71 -0.22 ▁▃▇▅▂
Myoglobin 0 1 -1.37 0.95 -3.17 -2.04 -1.47 -0.80 1.77 ▅▇▆▂▁
NT_proBNP 0 1 4.55 0.38 3.18 4.35 4.55 4.77 5.89 ▁▂▇▃▁
NrCAM 0 1 4.36 0.57 2.64 4.00 4.39 4.75 6.01 ▁▃▇▅▁
Osteopontin 0 1 5.20 0.39 4.11 4.96 5.19 5.44 6.31 ▁▅▇▃▁
PAI_1 0 1 0.08 0.41 -0.99 -0.17 0.09 0.32 1.17 ▂▃▇▅▂
PAPP_A 0 1 -2.85 0.14 -3.31 -2.94 -2.87 -2.75 -2.52 ▁▂▇▅▂
PLGF 0 1 3.91 0.41 2.48 3.64 3.87 4.20 5.17 ▁▃▇▆▁
PYY 0 1 3.02 0.29 2.19 2.83 3.00 3.18 3.93 ▁▅▇▃▁
Pancreatic_polypeptide 0 1 -0.01 0.72 -2.12 -0.53 -0.04 0.53 1.93 ▁▅▇▆▁
Prolactin 0 1 0.04 0.30 -1.31 -0.14 0.00 0.26 0.99 ▁▁▇▇▁
Prostatic_Acid_Phosphatase 0 1 -1.69 0.06 -1.93 -1.72 -1.69 -1.65 -1.42 ▁▂▇▂▁
Protein_S 0 1 -2.24 0.35 -3.34 -2.46 -2.26 -2.00 -1.22 ▁▃▇▃▁
Pulmonary_and_Activation_Regulat 0 1 -1.49 0.45 -2.51 -1.83 -1.51 -1.17 -0.27 ▂▇▇▃▂
RANTES 0 1 -6.51 0.32 -7.22 -6.73 -6.50 -6.32 -5.55 ▃▇▇▃▁
Resistin 0 1 -17.64 5.82 -34.97 -21.47 -17.47 -13.50 -2.24 ▁▃▇▆▁
S100b 0 1 1.25 0.34 0.19 1.00 1.25 1.50 2.37 ▁▆▇▅▁
SGOT 0 1 -0.41 0.35 -1.35 -0.63 -0.40 -0.20 0.74 ▁▅▇▂▁
SHBG 0 1 -2.48 0.58 -4.14 -2.81 -2.49 -2.12 -1.11 ▁▃▇▆▂
SOD 0 1 5.34 0.38 4.32 5.09 5.37 5.58 6.32 ▁▅▇▅▁
Serum_Amyloid_P 0 1 -6.02 0.56 -7.51 -6.38 -6.03 -5.65 -4.65 ▁▅▇▅▂
Sortilin 0 1 3.85 0.87 1.65 3.34 3.87 4.37 6.23 ▁▅▇▃▁
Stem_Cell_Factor 0 1 3.30 0.36 2.25 3.04 3.30 3.53 4.28 ▁▅▇▅▁
TGF_alpha 0 1 9.80 1.32 6.84 8.86 9.92 10.70 13.83 ▂▆▇▂▁
TIMP_1 0 1 11.75 1.90 1.74 10.49 11.56 12.70 18.88 ▁▁▇▅▁
TNF_RII 0 1 -0.59 0.33 -1.66 -0.82 -0.60 -0.38 0.47 ▁▃▇▃▁
TRAIL_R3 0 1 -0.54 0.24 -1.21 -0.70 -0.53 -0.38 0.27 ▁▆▇▂▁
TTR_prealbumin 0 1 2.85 0.14 2.48 2.77 2.83 2.94 3.33 ▂▅▇▃▁
Tamm_Horsfall_Protein_THP 0 1 -3.12 0.03 -3.21 -3.14 -3.12 -3.10 -2.99 ▁▇▇▂▁
Thrombomodulin 0 1 -1.51 0.22 -2.04 -1.63 -1.49 -1.34 -0.82 ▂▆▇▃▁
Thrombopoietin 0 1 -0.75 0.24 -1.54 -0.89 -0.75 -0.63 0.10 ▁▅▇▂▁
Thymus_Expressed_Chemokine_TECK 0 1 3.85 0.80 1.51 3.34 3.81 4.32 6.23 ▁▃▇▃▁
Thyroid_Stimulating_Hormone 0 1 -4.50 0.75 -6.19 -4.96 -4.51 -4.02 -1.71 ▂▇▆▁▁
Thyroxine_Binding_Globulin 0 1 -1.48 0.40 -2.48 -1.77 -1.51 -1.24 -0.21 ▂▇▇▃▁
Tissue_Factor 0 1 1.17 0.50 -0.21 0.83 1.22 1.48 2.48 ▁▅▇▆▁
Transferrin 0 1 2.91 0.27 1.93 2.71 2.89 3.09 3.76 ▁▂▇▅▁
Trefoil_Factor_3_TFF3 0 1 -3.88 0.34 -4.74 -4.14 -3.86 -3.65 -2.96 ▁▅▇▃▁
VCAM_1 0 1 2.69 0.32 1.72 2.48 2.71 2.89 3.69 ▁▃▇▃▁
VEGF 0 1 16.99 1.81 11.83 15.77 17.08 18.10 22.38 ▁▅▇▃▁
Vitronectin 0 1 -0.28 0.33 -1.43 -0.51 -0.30 -0.04 0.53 ▁▃▇▇▂
von_Willebrand_Factor 0 1 -3.91 0.38 -4.99 -4.20 -3.91 -3.61 -2.96 ▁▅▇▆▂
###################################
# Verifying the data dimensions
###################################
dim(DPA.Predictors.Numeric)
## [1] 267 124

1.3.2 Zero and Near-Zero Variance


[A] Low variance noted for 2 variables from the previous data quality assessment using a lower threshold.

[B] No low variance noted for any variable using a preprocessing summary from the caret package. The nearZeroVar method using both the freqCut and uniqueCut criteria set at 95/5 and 10, respectively, were applied on the dataset.

Code Chunk | Output
##################################
# Loading dataset
##################################
DPA <- DPA.Predictors

##################################
# Gathering descriptive statistics
##################################
(DPA_Skimmed <- skim(DPA))
Data summary
Name DPA
Number of rows 267
Number of columns 127
_______________________
Column type frequency:
numeric 127
________________________
Group variables None

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
ACE_CD143_Angiotensin_Converti 0 1 1.32 0.54 -0.68 0.95 1.30 1.72 2.84 ▁▃▇▇▁
ACTH_Adrenocorticotropic_Hormon 0 1 -1.54 0.28 -2.21 -1.71 -1.56 -1.35 -0.84 ▂▆▇▆▂
AXL 0 1 0.31 0.45 -0.92 0.00 0.28 0.61 1.52 ▁▅▇▃▁
Adiponectin 0 1 -5.20 0.67 -6.73 -5.67 -5.18 -4.78 -3.51 ▂▆▇▅▁
Alpha_1_Antichymotrypsin 0 1 1.36 0.36 0.26 1.13 1.36 1.59 2.30 ▁▃▇▅▁
Alpha_1_Antitrypsin 0 1 -13.05 1.48 -17.03 -14.07 -13.00 -12.10 -8.19 ▁▅▇▂▁
Alpha_1_Microglobulin 0 1 -2.93 0.48 -4.34 -3.27 -2.94 -2.59 -1.77 ▁▅▇▇▂
Alpha_2_Macroglobulin 0 1 -158.61 40.93 -289.68 -186.64 -160.01 -134.62 -59.46 ▁▂▇▅▂
Angiopoietin_2_ANG_2 0 1 0.67 0.33 -0.54 0.47 0.64 0.88 1.53 ▁▂▇▆▂
Angiotensinogen 0 1 2.32 0.25 1.75 2.12 2.32 2.50 2.88 ▃▆▇▇▂
Apolipoprotein_A_IV 0 1 -1.85 0.38 -2.96 -2.12 -1.83 -1.61 -0.78 ▁▃▇▃▁
Apolipoprotein_A1 0 1 -7.48 0.44 -8.68 -7.76 -7.47 -7.21 -6.17 ▁▅▇▃▁
Apolipoprotein_A2 0 1 -0.64 0.50 -1.90 -0.97 -0.67 -0.31 0.96 ▁▇▇▃▁
Apolipoprotein_B 0 1 -5.58 1.48 -9.94 -6.63 -5.70 -4.54 -2.15 ▁▅▇▇▂
Apolipoprotein_CI 0 1 -1.58 0.41 -3.32 -1.83 -1.61 -1.37 -0.27 ▁▁▇▅▁
Apolipoprotein_CIII 0 1 -2.49 0.44 -3.69 -2.77 -2.53 -2.21 -1.24 ▁▅▇▅▁
Apolipoprotein_D 0 1 1.44 0.34 0.47 1.21 1.41 1.67 2.27 ▁▃▇▆▂
Apolipoprotein_E 0 1 2.81 0.78 0.59 2.33 2.82 3.29 5.44 ▁▅▇▂▁
Apolipoprotein_H 0 1 -0.32 0.39 -2.23 -0.60 -0.37 -0.06 0.93 ▁▁▇▆▁
B_Lymphocyte_Chemoattractant_BL 0 1 2.02 0.57 0.73 1.67 1.98 2.37 4.02 ▃▇▇▁▁
BMP_6 0 1 -1.91 0.31 -2.76 -2.15 -1.88 -1.68 -0.82 ▁▅▇▂▁
Beta_2_Microglobulin 0 1 0.17 0.30 -0.54 -0.04 0.18 0.34 0.99 ▂▃▇▃▁
Betacellulin 0 1 51.01 10.87 10.00 42.00 51.00 59.00 82.00 ▁▁▇▅▁
C_Reactive_Protein 0 1 -5.87 1.20 -8.52 -6.65 -5.84 -5.08 -2.94 ▃▆▇▆▂
CD40 0 1 -1.26 0.21 -1.86 -1.38 -1.27 -1.12 -0.55 ▁▆▇▃▁
CD5L 0 1 -0.05 0.45 -1.24 -0.36 -0.06 0.26 1.16 ▁▅▇▃▁
Calbindin 0 1 22.43 4.11 10.96 19.77 22.25 24.80 33.78 ▁▃▇▃▁
Calcitonin 0 1 1.68 0.87 -0.71 0.96 1.65 2.28 3.89 ▁▆▇▅▂
CgA 0 1 333.30 83.67 135.60 278.02 331.52 392.07 535.40 ▂▆▇▅▂
Clusterin_Apo_J 0 1 2.88 0.29 1.87 2.71 2.89 3.04 3.58 ▁▂▇▆▂
Complement_3 0 1 -15.61 2.46 -23.39 -17.57 -15.52 -13.88 -9.56 ▁▆▇▇▂
Complement_Factor_H 0 1 3.55 1.25 -0.84 2.75 3.60 4.25 7.62 ▁▃▇▅▁
Connective_Tissue_Growth_Factor 0 1 0.77 0.20 0.18 0.64 0.79 0.92 1.41 ▁▅▇▃▁
Cortisol 0 1 11.98 3.95 0.10 9.80 12.00 14.00 29.00 ▁▇▇▁▁
Creatine_Kinase_MB 0 1 -1.67 0.09 -1.87 -1.72 -1.67 -1.63 -1.38 ▃▅▇▂▁
Cystatin_C 0 1 8.59 0.40 7.43 8.32 8.56 8.84 9.69 ▁▅▇▃▁
EGF_R 0 1 -0.70 0.22 -1.36 -0.86 -0.68 -0.55 -0.06 ▁▃▇▅▁
EN_RAGE 0 1 -3.64 0.88 -8.38 -4.20 -3.65 -3.15 -0.39 ▁▁▇▆▁
ENA_78 0 1 -1.37 0.01 -1.41 -1.38 -1.37 -1.36 -1.34 ▁▅▇▅▁
Eotaxin_3 0 1 58.17 15.83 7.00 44.00 59.00 70.00 107.00 ▁▆▇▅▁
FAS 0 1 -0.53 0.30 -1.51 -0.71 -0.53 -0.31 0.34 ▁▃▇▆▁
FSH_Follicle_Stimulation_Hormon 0 1 -1.14 0.42 -2.12 -1.47 -1.14 -0.88 0.10 ▂▇▇▃▁
Fas_Ligand 0 1 2.97 1.09 -0.15 2.34 3.10 3.70 7.63 ▂▇▇▁▁
Fatty_Acid_Binding_Protein 0 1 1.35 0.78 -1.04 0.80 1.39 1.88 3.71 ▁▅▇▅▁
Ferritin 0 1 2.76 0.76 0.61 2.29 2.77 3.29 4.63 ▁▃▇▆▂
Fetuin_A 0 1 1.35 0.37 0.47 1.10 1.31 1.61 2.25 ▂▆▇▅▂
Fibrinogen 0 1 -7.36 0.57 -8.87 -7.72 -7.32 -7.01 -5.84 ▁▅▇▅▁
GRO_alpha 0 1 1.38 0.04 1.27 1.35 1.38 1.41 1.49 ▂▃▇▅▁
Gamma_Interferon_induced_Monokin 0 1 2.79 0.11 2.39 2.71 2.78 2.87 3.07 ▁▂▇▆▂
Glutathione_S_Transferase_alpha 0 1 0.95 0.16 0.52 0.84 0.97 1.03 1.32 ▁▃▇▅▂
HB_EGF 0 1 6.83 1.51 2.10 5.79 6.70 7.86 10.70 ▁▃▇▆▂
HCC_4 0 1 -3.50 0.36 -4.51 -3.73 -3.51 -3.27 -2.12 ▂▇▇▂▁
Hepatocyte_Growth_Factor_HGF 0 1 0.20 0.29 -0.63 0.00 0.18 0.41 0.88 ▁▃▇▅▂
I_309 0 1 2.96 0.37 1.76 2.71 2.94 3.22 4.14 ▁▅▇▃▁
ICAM_1 0 1 -0.59 0.33 -1.53 -0.83 -0.59 -0.38 0.52 ▁▅▇▃▁
IGF_BP_2 0 1 5.32 0.20 4.63 5.18 5.32 5.45 5.95 ▁▃▇▅▁
IL_11 0 1 4.72 1.45 1.75 3.71 4.81 5.78 8.49 ▃▆▇▅▁
IL_13 0 1 1.28 0.01 1.26 1.27 1.28 1.29 1.32 ▂▇▆▂▁
IL_16 0 1 2.93 0.66 1.19 2.52 2.91 3.35 4.94 ▁▆▇▃▁
IL_17E 0 1 4.85 1.34 1.05 4.15 4.75 5.63 8.95 ▁▆▇▃▁
IL_1alpha 0 1 -7.51 0.39 -8.52 -7.82 -7.52 -7.26 -5.95 ▂▇▇▂▁
IL_3 0 1 -3.94 0.50 -5.91 -4.27 -3.91 -3.63 -2.45 ▁▂▇▅▁
IL_4 0 1 1.77 0.51 0.53 1.46 1.81 2.15 3.04 ▂▅▇▅▂
IL_5 0 1 0.19 0.46 -1.43 -0.12 0.18 0.47 1.95 ▁▃▇▂▁
IL_6 0 1 -0.15 0.55 -1.53 -0.41 -0.16 0.14 1.81 ▂▆▇▂▁
IL_6_Receptor 0 1 0.09 0.32 -0.68 -0.13 0.10 0.35 0.83 ▂▆▇▆▂
IL_7 0 1 2.84 1.05 0.56 2.15 2.79 3.71 5.71 ▃▇▇▆▁
IL_8 0 1 1.70 0.04 1.57 1.68 1.71 1.73 1.81 ▁▂▇▆▁
IP_10_Inducible_Protein_10 0 1 5.75 0.51 4.32 5.40 5.75 6.06 7.50 ▁▆▇▂▁
IgA 0 1 -6.12 0.76 -10.52 -6.65 -6.12 -5.57 -4.20 ▁▁▂▇▂
Insulin 0 1 -1.23 0.34 -2.17 -1.45 -1.25 -1.03 -0.16 ▁▃▇▂▁
Kidney_Injury_Molecule_1_KIM_1 0 1 -1.18 0.03 -1.26 -1.20 -1.18 -1.16 -1.10 ▁▇▇▅▁
LOX_1 0 1 1.28 0.40 0.00 1.03 1.28 1.53 2.27 ▁▂▇▅▂
Leptin 0 1 -1.50 0.27 -2.15 -1.70 -1.50 -1.33 -0.62 ▂▇▇▂▁
Lipoprotein_a 0 1 -4.42 1.11 -6.81 -5.31 -4.61 -3.49 -1.39 ▂▇▅▅▁
MCP_1 0 1 6.50 0.26 5.83 6.32 6.49 6.68 7.23 ▂▅▇▅▁
MCP_2 0 1 1.87 0.65 0.40 1.53 1.85 2.18 4.02 ▂▆▇▂▁
MIF 0 1 -1.86 0.34 -2.85 -2.12 -1.90 -1.66 -0.84 ▁▃▇▃▁
MIP_1alpha 0 1 4.05 1.01 0.93 3.34 4.05 4.69 6.80 ▁▅▇▅▂
MIP_1beta 0 1 2.81 0.38 1.95 2.56 2.83 3.04 4.01 ▂▅▇▂▁
MMP_2 0 1 2.88 0.93 0.10 2.33 2.82 3.55 5.36 ▁▃▇▆▁
MMP_3 0 1 -2.45 0.57 -4.42 -2.75 -2.45 -2.12 -0.53 ▁▂▇▃▁
MMP10 0 1 -3.63 0.43 -4.93 -3.94 -3.65 -3.35 -2.21 ▁▆▇▃▁
MMP7 0 1 -3.79 1.55 -8.40 -4.82 -3.77 -2.71 -0.22 ▁▃▇▅▂
Myoglobin 0 1 -1.37 0.95 -3.17 -2.04 -1.47 -0.80 1.77 ▅▇▆▂▁
NT_proBNP 0 1 4.55 0.38 3.18 4.35 4.55 4.77 5.89 ▁▂▇▃▁
NrCAM 0 1 4.36 0.57 2.64 4.00 4.39 4.75 6.01 ▁▃▇▅▁
Osteopontin 0 1 5.20 0.39 4.11 4.96 5.19 5.44 6.31 ▁▅▇▃▁
PAI_1 0 1 0.08 0.41 -0.99 -0.17 0.09 0.32 1.17 ▂▃▇▅▂
PAPP_A 0 1 -2.85 0.14 -3.31 -2.94 -2.87 -2.75 -2.52 ▁▂▇▅▂
PLGF 0 1 3.91 0.41 2.48 3.64 3.87 4.20 5.17 ▁▃▇▆▁
PYY 0 1 3.02 0.29 2.19 2.83 3.00 3.18 3.93 ▁▅▇▃▁
Pancreatic_polypeptide 0 1 -0.01 0.72 -2.12 -0.53 -0.04 0.53 1.93 ▁▅▇▆▁
Prolactin 0 1 0.04 0.30 -1.31 -0.14 0.00 0.26 0.99 ▁▁▇▇▁
Prostatic_Acid_Phosphatase 0 1 -1.69 0.06 -1.93 -1.72 -1.69 -1.65 -1.42 ▁▂▇▂▁
Protein_S 0 1 -2.24 0.35 -3.34 -2.46 -2.26 -2.00 -1.22 ▁▃▇▃▁
Pulmonary_and_Activation_Regulat 0 1 -1.49 0.45 -2.51 -1.83 -1.51 -1.17 -0.27 ▂▇▇▃▂
RANTES 0 1 -6.51 0.32 -7.22 -6.73 -6.50 -6.32 -5.55 ▃▇▇▃▁
Resistin 0 1 -17.64 5.82 -34.97 -21.47 -17.47 -13.50 -2.24 ▁▃▇▆▁
S100b 0 1 1.25 0.34 0.19 1.00 1.25 1.50 2.37 ▁▆▇▅▁
SGOT 0 1 -0.41 0.35 -1.35 -0.63 -0.40 -0.20 0.74 ▁▅▇▂▁
SHBG 0 1 -2.48 0.58 -4.14 -2.81 -2.49 -2.12 -1.11 ▁▃▇▆▂
SOD 0 1 5.34 0.38 4.32 5.09 5.37 5.58 6.32 ▁▅▇▅▁
Serum_Amyloid_P 0 1 -6.02 0.56 -7.51 -6.38 -6.03 -5.65 -4.65 ▁▅▇▅▂
Sortilin 0 1 3.85 0.87 1.65 3.34 3.87 4.37 6.23 ▁▅▇▃▁
Stem_Cell_Factor 0 1 3.30 0.36 2.25 3.04 3.30 3.53 4.28 ▁▅▇▅▁
TGF_alpha 0 1 9.80 1.32 6.84 8.86 9.92 10.70 13.83 ▂▆▇▂▁
TIMP_1 0 1 11.75 1.90 1.74 10.49 11.56 12.70 18.88 ▁▁▇▅▁
TNF_RII 0 1 -0.59 0.33 -1.66 -0.82 -0.60 -0.38 0.47 ▁▃▇▃▁
TRAIL_R3 0 1 -0.54 0.24 -1.21 -0.70 -0.53 -0.38 0.27 ▁▆▇▂▁
TTR_prealbumin 0 1 2.85 0.14 2.48 2.77 2.83 2.94 3.33 ▂▅▇▃▁
Tamm_Horsfall_Protein_THP 0 1 -3.12 0.03 -3.21 -3.14 -3.12 -3.10 -2.99 ▁▇▇▂▁
Thrombomodulin 0 1 -1.51 0.22 -2.04 -1.63 -1.49 -1.34 -0.82 ▂▆▇▃▁
Thrombopoietin 0 1 -0.75 0.24 -1.54 -0.89 -0.75 -0.63 0.10 ▁▅▇▂▁
Thymus_Expressed_Chemokine_TECK 0 1 3.85 0.80 1.51 3.34 3.81 4.32 6.23 ▁▃▇▃▁
Thyroid_Stimulating_Hormone 0 1 -4.50 0.75 -6.19 -4.96 -4.51 -4.02 -1.71 ▂▇▆▁▁
Thyroxine_Binding_Globulin 0 1 -1.48 0.40 -2.48 -1.77 -1.51 -1.24 -0.21 ▂▇▇▃▁
Tissue_Factor 0 1 1.17 0.50 -0.21 0.83 1.22 1.48 2.48 ▁▅▇▆▁
Transferrin 0 1 2.91 0.27 1.93 2.71 2.89 3.09 3.76 ▁▂▇▅▁
Trefoil_Factor_3_TFF3 0 1 -3.88 0.34 -4.74 -4.14 -3.86 -3.65 -2.96 ▁▅▇▃▁
VCAM_1 0 1 2.69 0.32 1.72 2.48 2.71 2.89 3.69 ▁▃▇▃▁
VEGF 0 1 16.99 1.81 11.83 15.77 17.08 18.10 22.38 ▁▅▇▃▁
Vitronectin 0 1 -0.28 0.33 -1.43 -0.51 -0.30 -0.04 0.53 ▁▃▇▇▂
von_Willebrand_Factor 0 1 -3.91 0.38 -4.99 -4.20 -3.91 -3.61 -2.96 ▁▅▇▆▂
E4 0 1 0.40 0.49 0.00 0.00 0.00 1.00 1.00 ▇▁▁▁▆
E3 0 1 0.92 0.28 0.00 1.00 1.00 1.00 1.00 ▁▁▁▁▇
E2 0 1 0.16 0.37 0.00 0.00 0.00 0.00 1.00 ▇▁▁▁▂
##################################
# Identifying columns with low variance
###################################
DPA_LowVariance <- nearZeroVar(DPA,
                               freqCut = 95/5,
                               uniqueCut = 10,
                               saveMetrics= TRUE)
(DPA_LowVariance[DPA_LowVariance$nzv,])
## [1] freqRatio     percentUnique zeroVar       nzv          
## <0 rows> (or 0-length row.names)
if ((nrow(DPA_LowVariance[DPA_LowVariance$nzv,]))==0){
  
  print("No low variance predictors noted.")
  
} else {

  print(paste0("Low variance observed for ",
               (nrow(DPA_LowVariance[DPA_LowVariance$nzv,])),
               " numeric variable(s) with First.Second.Mode.Ratio>4 and Unique.Count.Ratio<0.10."))
  
  DPA_LowVarianceForRemoval <- (nrow(DPA_LowVariance[DPA_LowVariance$nzv,]))
  
  print(paste0("Low variance can be resolved by removing ",
               (nrow(DPA_LowVariance[DPA_LowVariance$nzv,])),
               " numeric variable(s)."))
  
  for (j in 1:DPA_LowVarianceForRemoval) {
  DPA_LowVarianceRemovedVariable <- rownames(DPA_LowVariance[DPA_LowVariance$nzv,])[j]
  print(paste0("Variable ",
               j,
               " for removal: ",
               DPA_LowVarianceRemovedVariable))
  }
  
  DPA %>%
  skim() %>%
  dplyr::filter(skim_variable %in% rownames(DPA_LowVariance[DPA_LowVariance$nzv,]))

  ##################################
  # Filtering out columns with low variance
  #################################
  DPA_ExcludedLowVariance <- DPA[,!names(DPA) %in% rownames(DPA_LowVariance[DPA_LowVariance$nzv,])]
  
  ##################################
  # Gathering descriptive statistics
  ##################################
  (DPA_ExcludedLowVariance_Skimmed <- skim(DPA_ExcludedLowVariance))
}
## [1] "No low variance predictors noted."

1.3.3 Collinearity


[A] No high correlation > 95% were noted for any variable pair as confirmed using the preprocessing summaries from the caret and lares packages.

Code Chunk | Output
##################################
# Loading dataset
##################################
DPA <- Alzheimer_Train

##################################
# Listing all predictors
##################################
DPA.Predictors <- DPA[,!names(DPA) %in% c("Class")]

##################################
# Listing all numeric predictors
##################################
DPA.Predictors.Numeric <- DPA.Predictors[,!names(DPA.Predictors) %in% c("E2","E3","E4")]
DPA.Predictors.Numeric <- as.data.frame(sapply(DPA.Predictors.Numeric,function(x) as.numeric(x)))

##################################
# Visualizing pairwise correlation between predictors
##################################
DPA_CorrelationTest <- cor.mtest(DPA.Predictors.Numeric,
                       method = "pearson",
                       conf.level = .95)

corrplot(cor(DPA.Predictors.Numeric,
             method = "pearson",
             use="pairwise.complete.obs"), 
         method = "circle",
         type = "upper", 
         order = "original", 
         tl.col = "black", 
         tl.cex = 0.75,
         tl.srt = 90, 
         sig.level = 0.05, 
         p.mat = DPA_CorrelationTest$p,
         insig = "blank")

##################################
# Identifying the highly correlated variables
##################################
DPA_Correlation <-  cor(DPA.Predictors.Numeric, 
                        method = "pearson",
                        use="pairwise.complete.obs")
(DPA_HighlyCorrelatedCount <- sum(abs(DPA_Correlation[upper.tri(DPA_Correlation)]) > 0.95))
## [1] 0
if (DPA_HighlyCorrelatedCount == 0) {
  print("No highly correlated predictors noted.")
} else {
  print(paste0("High correlation observed for ",
               (DPA_HighlyCorrelatedCount),
               " pairs of numeric variable(s) with Correlation.Coefficient>0.95."))
  
  (DPA_HighlyCorrelatedPairs <- corr_cross(DPA.Predictors.Numeric,
  max_pvalue = 0.05, 
  top = DPA_HighlyCorrelatedCount,
  rm.na = TRUE,
  grid = FALSE
))
  
}
## [1] "No highly correlated predictors noted."
if (DPA_HighlyCorrelatedCount > 0) {
  DPA_HighlyCorrelated <- findCorrelation(DPA_Correlation, cutoff = 0.95)
  
  (DPA_HighlyCorrelatedForRemoval <- length(DPA_HighlyCorrelated))
  
  print(paste0("High correlation can be resolved by removing ",
               (DPA_HighlyCorrelatedForRemoval),
               " numeric variable(s)."))
  
  for (j in 1:DPA_HighlyCorrelatedForRemoval) {
  DPA_HighlyCorrelatedRemovedVariable <- colnames(DPA.Predictors.Numeric)[DPA_HighlyCorrelated[j]]
  print(paste0("Variable ",
               j,
               " for removal: ",
               DPA_HighlyCorrelatedRemovedVariable))
  }
  
  ##################################
  # Filtering out columns with high correlation
  #################################
  DPA_ExcludedHighCorrelation <- DPA[,-DPA_HighlyCorrelated]
  
  ##################################
  # Gathering descriptive statistics
  ##################################
  (DPA_ExcludedHighCorrelation_Skimmed <- skim(DPA_ExcludedHighCorrelation))

}

1.3.4 Linear Dependencies


[A] No linear dependencies noted for any subset of variables using the preprocessing summary from the caret package applying the findLinearCombos method which utilizes the QR decomposition of a matrix to enumerate sets of linear combinations (if they exist).

Code Chunk | Output
##################################
# Loading dataset
##################################
DPA <- Alzheimer_Train

##################################
# Listing all predictors
##################################
DPA.Predictors <- DPA[,!names(DPA) %in% c("Class")]

##################################
# Listing all numeric predictors
##################################
DPA.Predictors.Numeric <- DPA.Predictors[,!names(DPA.Predictors) %in% c("E2","E3","E4")]
DPA.Predictors.Numeric <- as.data.frame(sapply(DPA.Predictors.Numeric,function(x) as.numeric(x)))

##################################
# Identifying the linearly dependent variables
##################################
DPA_LinearlyDependent <- findLinearCombos(DPA.Predictors.Numeric)

(DPA_LinearlyDependentCount <- length(DPA_LinearlyDependent$linearCombos))
## [1] 0
if (DPA_LinearlyDependentCount == 0) {
  print("No linearly dependent predictors noted.")
} else {
  print(paste0("Linear dependency observed for ",
               (DPA_LinearlyDependentCount),
               " subset(s) of numeric variable(s)."))
  
  for (i in 1:DPA_LinearlyDependentCount) {
    DPA_LinearlyDependentSubset <- colnames(DPA.Predictors.Numeric)[DPA_LinearlyDependent$linearCombos[[i]]]
    print(paste0("Linear dependent variable(s) for subset ",
                 i,
                 " include: ",
                 DPA_LinearlyDependentSubset))
  }
  
}
## [1] "No linearly dependent predictors noted."
##################################
# Identifying the linearly dependent variables for removal
##################################

if (DPA_LinearlyDependentCount > 0) {
  DPA_LinearlyDependent <- findLinearCombos(DPA.Predictors.Numeric)
  
  DPA_LinearlyDependentForRemoval <- length(DPA_LinearlyDependent$remove)
  
  print(paste0("Linear dependency can be resolved by removing ",
               (DPA_LinearlyDependentForRemoval),
               " numeric variable(s)."))
  
  for (j in 1:DPA_LinearlyDependentForRemoval) {
  DPA_LinearlyDependentRemovedVariable <- colnames(DPA.Predictors.Numeric)[DPA_LinearlyDependent$remove[j]]
  print(paste0("Variable ",
               j,
               " for removal: ",
               DPA_LinearlyDependentRemovedVariable))
  }
  
  ##################################
  # Filtering out columns with linear dependency
  #################################
  DPA_ExcludedLinearlyDependent <- DPA[,-DPA_LinearlyDependent$remove]
  
  ##################################
  # Gathering descriptive statistics
  ##################################
  (DPA_ExcludedLinearlyDependent_Skimmed <- skim(DPA_ExcludedLinearlyDependent))

}

1.3.5 Pre-Processed Dataset


[A] 333 rows (observations)
     [A.1] Train Set = 267 observations
     [A.2] Test Set = 66 observations

[B] 128 columns (variables)
     [B.1] 1/128 response = Class variable (factor)
            [B.1.1] Levels = Class=Control < Class=Impaired
     [B.2] 127/128 predictors = All remaining variables (3/127 factor + 124/127 numeric)

[C] No pre-processing actions applied:
     [C.1] No shape transformation applied since distributions were fairly normal
     [C.2] Centering and scaling may be necessary due to the differences in ranges for the numeric variables however, these will be selectively applied based on model requirements
     [C.2] No outlier treatment applied since the high values noted were minimal and contextually valid
     [C.3] No predictors removed due to zero or near-zero variance
     [C.4] No predictors removed due to high correlation
     [C.5] No predictors removed due to linear dependencies

Code Chunk | Output
##################################
# Creating the pre-modelling
# train set
##################################
PMA_PreModelling_Train <- Alzheimer_Train
PMA_PreModelling_Train$Class <- as.factor(PMA_PreModelling_Train$Class)
PMA_PreModelling_Train$E2 <- as.factor(PMA_PreModelling_Train$E2)
PMA_PreModelling_Train$E3 <- as.factor(PMA_PreModelling_Train$E3)
PMA_PreModelling_Train$E4 <- as.factor(PMA_PreModelling_Train$E4)

##################################
# Gathering descriptive statistics
##################################
(PMA_PreModelling_Train_Skimmed <- skim(PMA_PreModelling_Train))
Data summary
Name PMA_PreModelling_Train
Number of rows 267
Number of columns 128
_______________________
Column type frequency:
factor 4
numeric 124
________________________
Group variables None

Variable type: factor

skim_variable n_missing complete_rate ordered n_unique top_counts
Class 0 1 FALSE 2 Con: 194, Imp: 73
E4 0 1 FALSE 2 0: 160, 1: 107
E3 0 1 FALSE 2 1: 245, 0: 22
E2 0 1 FALSE 2 0: 224, 1: 43

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
ACE_CD143_Angiotensin_Converti 0 1 1.32 0.54 -0.68 0.95 1.30 1.72 2.84 ▁▃▇▇▁
ACTH_Adrenocorticotropic_Hormon 0 1 -1.54 0.28 -2.21 -1.71 -1.56 -1.35 -0.84 ▂▆▇▆▂
AXL 0 1 0.31 0.45 -0.92 0.00 0.28 0.61 1.52 ▁▅▇▃▁
Adiponectin 0 1 -5.20 0.67 -6.73 -5.67 -5.18 -4.78 -3.51 ▂▆▇▅▁
Alpha_1_Antichymotrypsin 0 1 1.36 0.36 0.26 1.13 1.36 1.59 2.30 ▁▃▇▅▁
Alpha_1_Antitrypsin 0 1 -13.05 1.48 -17.03 -14.07 -13.00 -12.10 -8.19 ▁▅▇▂▁
Alpha_1_Microglobulin 0 1 -2.93 0.48 -4.34 -3.27 -2.94 -2.59 -1.77 ▁▅▇▇▂
Alpha_2_Macroglobulin 0 1 -158.61 40.93 -289.68 -186.64 -160.01 -134.62 -59.46 ▁▂▇▅▂
Angiopoietin_2_ANG_2 0 1 0.67 0.33 -0.54 0.47 0.64 0.88 1.53 ▁▂▇▆▂
Angiotensinogen 0 1 2.32 0.25 1.75 2.12 2.32 2.50 2.88 ▃▆▇▇▂
Apolipoprotein_A_IV 0 1 -1.85 0.38 -2.96 -2.12 -1.83 -1.61 -0.78 ▁▃▇▃▁
Apolipoprotein_A1 0 1 -7.48 0.44 -8.68 -7.76 -7.47 -7.21 -6.17 ▁▅▇▃▁
Apolipoprotein_A2 0 1 -0.64 0.50 -1.90 -0.97 -0.67 -0.31 0.96 ▁▇▇▃▁
Apolipoprotein_B 0 1 -5.58 1.48 -9.94 -6.63 -5.70 -4.54 -2.15 ▁▅▇▇▂
Apolipoprotein_CI 0 1 -1.58 0.41 -3.32 -1.83 -1.61 -1.37 -0.27 ▁▁▇▅▁
Apolipoprotein_CIII 0 1 -2.49 0.44 -3.69 -2.77 -2.53 -2.21 -1.24 ▁▅▇▅▁
Apolipoprotein_D 0 1 1.44 0.34 0.47 1.21 1.41 1.67 2.27 ▁▃▇▆▂
Apolipoprotein_E 0 1 2.81 0.78 0.59 2.33 2.82 3.29 5.44 ▁▅▇▂▁
Apolipoprotein_H 0 1 -0.32 0.39 -2.23 -0.60 -0.37 -0.06 0.93 ▁▁▇▆▁
B_Lymphocyte_Chemoattractant_BL 0 1 2.02 0.57 0.73 1.67 1.98 2.37 4.02 ▃▇▇▁▁
BMP_6 0 1 -1.91 0.31 -2.76 -2.15 -1.88 -1.68 -0.82 ▁▅▇▂▁
Beta_2_Microglobulin 0 1 0.17 0.30 -0.54 -0.04 0.18 0.34 0.99 ▂▃▇▃▁
Betacellulin 0 1 51.01 10.87 10.00 42.00 51.00 59.00 82.00 ▁▁▇▅▁
C_Reactive_Protein 0 1 -5.87 1.20 -8.52 -6.65 -5.84 -5.08 -2.94 ▃▆▇▆▂
CD40 0 1 -1.26 0.21 -1.86 -1.38 -1.27 -1.12 -0.55 ▁▆▇▃▁
CD5L 0 1 -0.05 0.45 -1.24 -0.36 -0.06 0.26 1.16 ▁▅▇▃▁
Calbindin 0 1 22.43 4.11 10.96 19.77 22.25 24.80 33.78 ▁▃▇▃▁
Calcitonin 0 1 1.68 0.87 -0.71 0.96 1.65 2.28 3.89 ▁▆▇▅▂
CgA 0 1 333.30 83.67 135.60 278.02 331.52 392.07 535.40 ▂▆▇▅▂
Clusterin_Apo_J 0 1 2.88 0.29 1.87 2.71 2.89 3.04 3.58 ▁▂▇▆▂
Complement_3 0 1 -15.61 2.46 -23.39 -17.57 -15.52 -13.88 -9.56 ▁▆▇▇▂
Complement_Factor_H 0 1 3.55 1.25 -0.84 2.75 3.60 4.25 7.62 ▁▃▇▅▁
Connective_Tissue_Growth_Factor 0 1 0.77 0.20 0.18 0.64 0.79 0.92 1.41 ▁▅▇▃▁
Cortisol 0 1 11.98 3.95 0.10 9.80 12.00 14.00 29.00 ▁▇▇▁▁
Creatine_Kinase_MB 0 1 -1.67 0.09 -1.87 -1.72 -1.67 -1.63 -1.38 ▃▅▇▂▁
Cystatin_C 0 1 8.59 0.40 7.43 8.32 8.56 8.84 9.69 ▁▅▇▃▁
EGF_R 0 1 -0.70 0.22 -1.36 -0.86 -0.68 -0.55 -0.06 ▁▃▇▅▁
EN_RAGE 0 1 -3.64 0.88 -8.38 -4.20 -3.65 -3.15 -0.39 ▁▁▇▆▁
ENA_78 0 1 -1.37 0.01 -1.41 -1.38 -1.37 -1.36 -1.34 ▁▅▇▅▁
Eotaxin_3 0 1 58.17 15.83 7.00 44.00 59.00 70.00 107.00 ▁▆▇▅▁
FAS 0 1 -0.53 0.30 -1.51 -0.71 -0.53 -0.31 0.34 ▁▃▇▆▁
FSH_Follicle_Stimulation_Hormon 0 1 -1.14 0.42 -2.12 -1.47 -1.14 -0.88 0.10 ▂▇▇▃▁
Fas_Ligand 0 1 2.97 1.09 -0.15 2.34 3.10 3.70 7.63 ▂▇▇▁▁
Fatty_Acid_Binding_Protein 0 1 1.35 0.78 -1.04 0.80 1.39 1.88 3.71 ▁▅▇▅▁
Ferritin 0 1 2.76 0.76 0.61 2.29 2.77 3.29 4.63 ▁▃▇▆▂
Fetuin_A 0 1 1.35 0.37 0.47 1.10 1.31 1.61 2.25 ▂▆▇▅▂
Fibrinogen 0 1 -7.36 0.57 -8.87 -7.72 -7.32 -7.01 -5.84 ▁▅▇▅▁
GRO_alpha 0 1 1.38 0.04 1.27 1.35 1.38 1.41 1.49 ▂▃▇▅▁
Gamma_Interferon_induced_Monokin 0 1 2.79 0.11 2.39 2.71 2.78 2.87 3.07 ▁▂▇▆▂
Glutathione_S_Transferase_alpha 0 1 0.95 0.16 0.52 0.84 0.97 1.03 1.32 ▁▃▇▅▂
HB_EGF 0 1 6.83 1.51 2.10 5.79 6.70 7.86 10.70 ▁▃▇▆▂
HCC_4 0 1 -3.50 0.36 -4.51 -3.73 -3.51 -3.27 -2.12 ▂▇▇▂▁
Hepatocyte_Growth_Factor_HGF 0 1 0.20 0.29 -0.63 0.00 0.18 0.41 0.88 ▁▃▇▅▂
I_309 0 1 2.96 0.37 1.76 2.71 2.94 3.22 4.14 ▁▅▇▃▁
ICAM_1 0 1 -0.59 0.33 -1.53 -0.83 -0.59 -0.38 0.52 ▁▅▇▃▁
IGF_BP_2 0 1 5.32 0.20 4.63 5.18 5.32 5.45 5.95 ▁▃▇▅▁
IL_11 0 1 4.72 1.45 1.75 3.71 4.81 5.78 8.49 ▃▆▇▅▁
IL_13 0 1 1.28 0.01 1.26 1.27 1.28 1.29 1.32 ▂▇▆▂▁
IL_16 0 1 2.93 0.66 1.19 2.52 2.91 3.35 4.94 ▁▆▇▃▁
IL_17E 0 1 4.85 1.34 1.05 4.15 4.75 5.63 8.95 ▁▆▇▃▁
IL_1alpha 0 1 -7.51 0.39 -8.52 -7.82 -7.52 -7.26 -5.95 ▂▇▇▂▁
IL_3 0 1 -3.94 0.50 -5.91 -4.27 -3.91 -3.63 -2.45 ▁▂▇▅▁
IL_4 0 1 1.77 0.51 0.53 1.46 1.81 2.15 3.04 ▂▅▇▅▂
IL_5 0 1 0.19 0.46 -1.43 -0.12 0.18 0.47 1.95 ▁▃▇▂▁
IL_6 0 1 -0.15 0.55 -1.53 -0.41 -0.16 0.14 1.81 ▂▆▇▂▁
IL_6_Receptor 0 1 0.09 0.32 -0.68 -0.13 0.10 0.35 0.83 ▂▆▇▆▂
IL_7 0 1 2.84 1.05 0.56 2.15 2.79 3.71 5.71 ▃▇▇▆▁
IL_8 0 1 1.70 0.04 1.57 1.68 1.71 1.73 1.81 ▁▂▇▆▁
IP_10_Inducible_Protein_10 0 1 5.75 0.51 4.32 5.40 5.75 6.06 7.50 ▁▆▇▂▁
IgA 0 1 -6.12 0.76 -10.52 -6.65 -6.12 -5.57 -4.20 ▁▁▂▇▂
Insulin 0 1 -1.23 0.34 -2.17 -1.45 -1.25 -1.03 -0.16 ▁▃▇▂▁
Kidney_Injury_Molecule_1_KIM_1 0 1 -1.18 0.03 -1.26 -1.20 -1.18 -1.16 -1.10 ▁▇▇▅▁
LOX_1 0 1 1.28 0.40 0.00 1.03 1.28 1.53 2.27 ▁▂▇▅▂
Leptin 0 1 -1.50 0.27 -2.15 -1.70 -1.50 -1.33 -0.62 ▂▇▇▂▁
Lipoprotein_a 0 1 -4.42 1.11 -6.81 -5.31 -4.61 -3.49 -1.39 ▂▇▅▅▁
MCP_1 0 1 6.50 0.26 5.83 6.32 6.49 6.68 7.23 ▂▅▇▅▁
MCP_2 0 1 1.87 0.65 0.40 1.53 1.85 2.18 4.02 ▂▆▇▂▁
MIF 0 1 -1.86 0.34 -2.85 -2.12 -1.90 -1.66 -0.84 ▁▃▇▃▁
MIP_1alpha 0 1 4.05 1.01 0.93 3.34 4.05 4.69 6.80 ▁▅▇▅▂
MIP_1beta 0 1 2.81 0.38 1.95 2.56 2.83 3.04 4.01 ▂▅▇▂▁
MMP_2 0 1 2.88 0.93 0.10 2.33 2.82 3.55 5.36 ▁▃▇▆▁
MMP_3 0 1 -2.45 0.57 -4.42 -2.75 -2.45 -2.12 -0.53 ▁▂▇▃▁
MMP10 0 1 -3.63 0.43 -4.93 -3.94 -3.65 -3.35 -2.21 ▁▆▇▃▁
MMP7 0 1 -3.79 1.55 -8.40 -4.82 -3.77 -2.71 -0.22 ▁▃▇▅▂
Myoglobin 0 1 -1.37 0.95 -3.17 -2.04 -1.47 -0.80 1.77 ▅▇▆▂▁
NT_proBNP 0 1 4.55 0.38 3.18 4.35 4.55 4.77 5.89 ▁▂▇▃▁
NrCAM 0 1 4.36 0.57 2.64 4.00 4.39 4.75 6.01 ▁▃▇▅▁
Osteopontin 0 1 5.20 0.39 4.11 4.96 5.19 5.44 6.31 ▁▅▇▃▁
PAI_1 0 1 0.08 0.41 -0.99 -0.17 0.09 0.32 1.17 ▂▃▇▅▂
PAPP_A 0 1 -2.85 0.14 -3.31 -2.94 -2.87 -2.75 -2.52 ▁▂▇▅▂
PLGF 0 1 3.91 0.41 2.48 3.64 3.87 4.20 5.17 ▁▃▇▆▁
PYY 0 1 3.02 0.29 2.19 2.83 3.00 3.18 3.93 ▁▅▇▃▁
Pancreatic_polypeptide 0 1 -0.01 0.72 -2.12 -0.53 -0.04 0.53 1.93 ▁▅▇▆▁
Prolactin 0 1 0.04 0.30 -1.31 -0.14 0.00 0.26 0.99 ▁▁▇▇▁
Prostatic_Acid_Phosphatase 0 1 -1.69 0.06 -1.93 -1.72 -1.69 -1.65 -1.42 ▁▂▇▂▁
Protein_S 0 1 -2.24 0.35 -3.34 -2.46 -2.26 -2.00 -1.22 ▁▃▇▃▁
Pulmonary_and_Activation_Regulat 0 1 -1.49 0.45 -2.51 -1.83 -1.51 -1.17 -0.27 ▂▇▇▃▂
RANTES 0 1 -6.51 0.32 -7.22 -6.73 -6.50 -6.32 -5.55 ▃▇▇▃▁
Resistin 0 1 -17.64 5.82 -34.97 -21.47 -17.47 -13.50 -2.24 ▁▃▇▆▁
S100b 0 1 1.25 0.34 0.19 1.00 1.25 1.50 2.37 ▁▆▇▅▁
SGOT 0 1 -0.41 0.35 -1.35 -0.63 -0.40 -0.20 0.74 ▁▅▇▂▁
SHBG 0 1 -2.48 0.58 -4.14 -2.81 -2.49 -2.12 -1.11 ▁▃▇▆▂
SOD 0 1 5.34 0.38 4.32 5.09 5.37 5.58 6.32 ▁▅▇▅▁
Serum_Amyloid_P 0 1 -6.02 0.56 -7.51 -6.38 -6.03 -5.65 -4.65 ▁▅▇▅▂
Sortilin 0 1 3.85 0.87 1.65 3.34 3.87 4.37 6.23 ▁▅▇▃▁
Stem_Cell_Factor 0 1 3.30 0.36 2.25 3.04 3.30 3.53 4.28 ▁▅▇▅▁
TGF_alpha 0 1 9.80 1.32 6.84 8.86 9.92 10.70 13.83 ▂▆▇▂▁
TIMP_1 0 1 11.75 1.90 1.74 10.49 11.56 12.70 18.88 ▁▁▇▅▁
TNF_RII 0 1 -0.59 0.33 -1.66 -0.82 -0.60 -0.38 0.47 ▁▃▇▃▁
TRAIL_R3 0 1 -0.54 0.24 -1.21 -0.70 -0.53 -0.38 0.27 ▁▆▇▂▁
TTR_prealbumin 0 1 2.85 0.14 2.48 2.77 2.83 2.94 3.33 ▂▅▇▃▁
Tamm_Horsfall_Protein_THP 0 1 -3.12 0.03 -3.21 -3.14 -3.12 -3.10 -2.99 ▁▇▇▂▁
Thrombomodulin 0 1 -1.51 0.22 -2.04 -1.63 -1.49 -1.34 -0.82 ▂▆▇▃▁
Thrombopoietin 0 1 -0.75 0.24 -1.54 -0.89 -0.75 -0.63 0.10 ▁▅▇▂▁
Thymus_Expressed_Chemokine_TECK 0 1 3.85 0.80 1.51 3.34 3.81 4.32 6.23 ▁▃▇▃▁
Thyroid_Stimulating_Hormone 0 1 -4.50 0.75 -6.19 -4.96 -4.51 -4.02 -1.71 ▂▇▆▁▁
Thyroxine_Binding_Globulin 0 1 -1.48 0.40 -2.48 -1.77 -1.51 -1.24 -0.21 ▂▇▇▃▁
Tissue_Factor 0 1 1.17 0.50 -0.21 0.83 1.22 1.48 2.48 ▁▅▇▆▁
Transferrin 0 1 2.91 0.27 1.93 2.71 2.89 3.09 3.76 ▁▂▇▅▁
Trefoil_Factor_3_TFF3 0 1 -3.88 0.34 -4.74 -4.14 -3.86 -3.65 -2.96 ▁▅▇▃▁
VCAM_1 0 1 2.69 0.32 1.72 2.48 2.71 2.89 3.69 ▁▃▇▃▁
VEGF 0 1 16.99 1.81 11.83 15.77 17.08 18.10 22.38 ▁▅▇▃▁
Vitronectin 0 1 -0.28 0.33 -1.43 -0.51 -0.30 -0.04 0.53 ▁▃▇▇▂
von_Willebrand_Factor 0 1 -3.91 0.38 -4.99 -4.20 -3.91 -3.61 -2.96 ▁▅▇▆▂
###################################
# Verifying the data dimensions
# for the train set
###################################
dim(PMA_PreModelling_Train)
## [1] 267 128
##################################
# Formulating the test set
##################################
PMA_PreModelling_Test <- Alzheimer_Test
PMA_PreModelling_Test$Class <- as.factor(PMA_PreModelling_Test$Class)
PMA_PreModelling_Test$E2 <- as.factor(PMA_PreModelling_Test$E2)
PMA_PreModelling_Test$E3 <- as.factor(PMA_PreModelling_Test$E3)
PMA_PreModelling_Test$E4 <- as.factor(PMA_PreModelling_Test$E4)

##################################
# Gathering descriptive statistics
##################################
(PMA_PreModelling_Test_Skimmed <- skim(PMA_PreModelling_Test))
Data summary
Name PMA_PreModelling_Test
Number of rows 66
Number of columns 128
_______________________
Column type frequency:
factor 4
numeric 124
________________________
Group variables None

Variable type: factor

skim_variable n_missing complete_rate ordered n_unique top_counts
Class 0 1 FALSE 2 Con: 48, Imp: 18
E4 0 1 FALSE 2 0: 46, 1: 20
E3 0 1 FALSE 2 1: 65, 0: 1
E2 0 1 FALSE 2 0: 62, 1: 4

Variable type: numeric

skim_variable n_missing complete_rate mean sd p0 p25 p50 p75 p100 hist
ACE_CD143_Angiotensin_Converti 0 1 1.31 0.59 -0.55 0.95 1.30 1.63 3.09 ▁▃▇▃▁
ACTH_Adrenocorticotropic_Hormon 0 1 -1.53 0.25 -2.21 -1.71 -1.54 -1.39 -0.80 ▁▃▇▃▁
AXL 0 1 0.25 0.45 -0.74 -0.08 0.28 0.61 1.29 ▃▃▇▅▂
Adiponectin 0 1 -5.30 0.66 -7.06 -5.74 -5.36 -4.92 -3.47 ▁▅▇▃▁
Alpha_1_Antichymotrypsin 0 1 1.31 0.38 0.18 1.06 1.31 1.57 2.22 ▁▃▇▆▂
Alpha_1_Antitrypsin 0 1 -13.49 1.76 -18.17 -14.70 -13.59 -12.31 -10.06 ▁▃▇▆▃
Alpha_1_Microglobulin 0 1 -2.98 0.49 -4.14 -3.28 -3.01 -2.67 -1.90 ▂▅▇▅▂
Alpha_2_Macroglobulin 0 1 -162.89 40.98 -238.64 -186.64 -162.93 -136.53 -50.17 ▃▇▇▃▁
Angiopoietin_2_ANG_2 0 1 0.60 0.35 -0.05 0.35 0.56 0.79 1.77 ▃▇▅▁▁
Angiotensinogen 0 1 2.27 0.23 1.71 2.07 2.28 2.43 2.75 ▁▇▇▇▂
Apolipoprotein_A_IV 0 1 -1.87 0.38 -2.75 -2.19 -1.90 -1.53 -1.11 ▂▆▇▆▅
Apolipoprotein_A1 0 1 -7.49 0.42 -8.57 -7.82 -7.50 -7.18 -6.65 ▁▆▇▇▃
Apolipoprotein_A2 0 1 -0.69 0.48 -1.97 -0.94 -0.70 -0.35 0.53 ▁▃▇▅▁
Apolipoprotein_B 0 1 -5.65 1.34 -8.19 -6.75 -5.82 -4.60 -2.34 ▃▇▅▅▂
Apolipoprotein_CI 0 1 -1.63 0.45 -2.85 -1.90 -1.61 -1.31 -0.46 ▂▅▇▅▁
Apolipoprotein_CIII 0 1 -2.52 0.46 -3.86 -2.78 -2.56 -2.23 -1.39 ▁▂▇▃▂
Apolipoprotein_D 0 1 1.39 0.41 0.26 1.13 1.39 1.69 2.64 ▁▇▇▅▁
Apolipoprotein_E 0 1 2.72 0.88 0.66 2.15 2.82 3.24 4.68 ▂▅▇▅▂
Apolipoprotein_H 0 1 -0.32 0.33 -1.16 -0.53 -0.29 -0.10 0.44 ▂▅▇▆▂
B_Lymphocyte_Chemoattractant_BL 0 1 1.88 0.57 0.73 1.53 1.85 2.37 2.98 ▂▆▇▆▃
BMP_6 0 1 -1.94 0.35 -2.67 -2.15 -1.96 -1.68 -1.18 ▃▃▇▆▂
Beta_2_Microglobulin 0 1 0.16 0.31 -0.51 -0.06 0.18 0.41 0.83 ▂▇▇▆▂
Betacellulin 0 1 52.74 10.58 32.00 46.00 51.00 59.75 80.00 ▂▇▅▃▁
C_Reactive_Protein 0 1 -6.00 1.17 -8.11 -6.73 -6.17 -5.37 -3.41 ▃▇▇▃▃
CD40 0 1 -1.28 0.24 -1.94 -1.44 -1.26 -1.10 -0.78 ▂▃▅▇▂
CD5L 0 1 -0.09 0.49 -1.97 -0.37 -0.05 0.24 0.92 ▁▁▃▇▂
Calbindin 0 1 21.49 4.49 10.81 18.88 21.06 24.00 35.36 ▂▆▇▂▁
Calcitonin 0 1 1.73 0.89 -0.71 1.20 1.68 2.26 4.11 ▁▅▇▅▁
CgA 0 1 320.22 75.26 166.55 268.21 324.75 362.27 494.53 ▃▃▇▃▂
Clusterin_Apo_J 0 1 2.85 0.35 1.93 2.56 2.83 3.04 3.76 ▁▆▇▅▁
Complement_3 0 1 -15.91 2.60 -22.40 -17.50 -15.90 -14.34 -10.23 ▁▃▇▃▂
Complement_Factor_H 0 1 3.39 1.26 0.28 2.60 3.40 4.25 6.56 ▁▅▇▅▁
Connective_Tissue_Growth_Factor 0 1 0.75 0.22 0.10 0.59 0.74 0.88 1.41 ▁▃▇▃▁
Cortisol 0 1 10.46 3.85 0.10 8.90 10.00 12.00 22.00 ▁▂▇▂▁
Creatine_Kinase_MB 0 1 -1.65 0.10 -1.87 -1.72 -1.65 -1.59 -1.43 ▂▅▇▅▂
Cystatin_C 0 1 8.58 0.42 7.73 8.30 8.54 8.84 9.69 ▃▇▇▃▂
EGF_R 0 1 -0.70 0.26 -1.27 -0.89 -0.69 -0.50 0.19 ▂▆▇▁▁
EN_RAGE 0 1 -3.60 0.98 -8.38 -4.18 -3.69 -3.22 -0.87 ▁▁▅▇▁
ENA_78 0 1 -1.38 0.01 -1.41 -1.38 -1.37 -1.37 -1.35 ▂▂▆▇▂
Eotaxin_3 0 1 55.55 18.33 23.00 43.00 54.00 64.00 107.00 ▅▇▆▂▁
FAS 0 1 -0.54 0.30 -1.11 -0.71 -0.58 -0.34 0.18 ▃▇▇▅▂
FSH_Follicle_Stimulation_Hormon 0 1 -1.06 0.34 -1.81 -1.27 -0.98 -0.81 -0.48 ▂▂▅▇▃
Fas_Ligand 0 1 2.65 1.02 0.29 2.07 2.67 3.16 5.38 ▂▅▇▃▁
Fatty_Acid_Binding_Protein 0 1 1.29 0.79 -0.46 0.80 1.19 1.92 3.22 ▂▇▆▆▂
Ferritin 0 1 2.71 0.87 0.90 2.15 2.63 3.17 4.93 ▂▆▇▂▂
Fetuin_A 0 1 1.31 0.41 0.53 1.03 1.31 1.61 2.21 ▅▇▇▇▂
Fibrinogen 0 1 -7.36 0.63 -9.37 -7.80 -7.32 -6.97 -6.17 ▁▂▇▇▅
GRO_alpha 0 1 1.38 0.04 1.27 1.35 1.37 1.40 1.51 ▁▇▇▂▁
Gamma_Interferon_induced_Monokin 0 1 2.77 0.12 2.54 2.70 2.77 2.83 3.05 ▂▅▇▂▂
Glutathione_S_Transferase_alpha 0 1 0.94 0.17 0.57 0.83 0.95 1.05 1.31 ▃▅▇▇▂
HB_EGF 0 1 6.84 1.43 3.52 5.95 6.98 7.75 10.36 ▂▆▇▇▂
HCC_4 0 1 -3.54 0.35 -4.34 -3.77 -3.54 -3.35 -2.49 ▂▇▇▃▁
Hepatocyte_Growth_Factor_HGF 0 1 0.18 0.34 -0.62 -0.06 0.18 0.34 1.10 ▁▆▇▃▁
I_309 0 1 2.92 0.36 2.04 2.72 2.94 3.14 3.69 ▂▂▇▃▂
ICAM_1 0 1 -0.60 0.35 -1.47 -0.77 -0.59 -0.36 0.36 ▂▂▇▅▁
IGF_BP_2 0 1 5.26 0.22 4.72 5.13 5.25 5.40 5.92 ▁▅▇▂▁
IL_11 0 1 4.65 1.33 2.03 3.96 4.84 5.48 8.69 ▃▅▇▂▁
IL_13 0 1 1.28 0.01 1.23 1.27 1.28 1.29 1.31 ▁▁▇▇▃
IL_16 0 1 2.82 0.70 0.96 2.44 2.88 3.35 4.10 ▂▂▇▇▅
IL_17E 0 1 4.77 1.33 1.58 3.64 4.72 5.41 8.08 ▁▇▇▃▂
IL_1alpha 0 1 -7.55 0.44 -8.47 -7.85 -7.56 -7.28 -6.38 ▂▇▇▃▁
IL_3 0 1 -3.98 0.52 -5.52 -4.32 -3.96 -3.58 -3.08 ▁▃▇▇▆
IL_4 0 1 1.74 0.52 0.53 1.46 1.72 2.07 2.71 ▁▅▇▃▅
IL_5 0 1 0.23 0.44 -1.05 -0.03 0.22 0.53 1.13 ▁▂▇▇▂
IL_6 0 1 -0.05 0.52 -1.53 -0.41 -0.07 0.35 1.01 ▁▂▇▇▂
IL_6_Receptor 0 1 0.06 0.35 -0.75 -0.20 0.00 0.27 0.77 ▂▇▇▆▅
IL_7 0 1 3.14 0.85 1.31 2.38 3.15 3.71 5.00 ▁▇▅▆▂
IL_8 0 1 1.70 0.04 1.62 1.68 1.70 1.73 1.84 ▂▇▆▂▁
IP_10_Inducible_Protein_10 0 1 5.64 0.51 4.26 5.32 5.62 5.92 7.21 ▁▅▇▃▁
IgA 0 1 -6.07 0.64 -7.62 -6.57 -6.01 -5.61 -4.73 ▁▆▇▇▂
Insulin 0 1 -1.20 0.32 -2.01 -1.45 -1.22 -1.01 -0.50 ▂▆▇▇▃
Kidney_Injury_Molecule_1_KIM_1 0 1 -1.19 0.03 -1.25 -1.21 -1.19 -1.17 -1.12 ▃▇▇▇▂
LOX_1 0 1 1.21 0.45 0.00 0.96 1.22 1.44 2.40 ▁▃▇▃▁
Leptin 0 1 -1.44 0.25 -1.95 -1.63 -1.43 -1.24 -0.84 ▃▇▆▇▂
Lipoprotein_a 0 1 -4.51 0.91 -6.57 -5.12 -4.66 -4.02 -2.04 ▂▇▇▅▁
MCP_1 0 1 6.48 0.25 5.89 6.32 6.48 6.63 7.06 ▁▅▇▅▂
MCP_2 0 1 1.81 0.60 0.40 1.53 1.85 2.08 3.75 ▂▅▇▁▁
MIF 0 1 -1.93 0.31 -2.80 -2.12 -1.97 -1.71 -1.11 ▁▃▇▃▁
MIP_1alpha 0 1 3.90 1.04 1.01 3.30 3.74 4.69 5.74 ▁▂▇▆▅
MIP_1beta 0 1 2.78 0.39 1.92 2.48 2.77 3.08 3.78 ▃▆▇▆▁
MMP_2 0 1 3.03 0.95 0.62 2.55 2.99 3.48 6.10 ▁▃▇▁▁
MMP_3 0 1 -2.49 0.59 -3.65 -2.85 -2.53 -2.12 -1.17 ▃▆▇▅▂
MMP10 0 1 -3.68 0.44 -4.95 -4.07 -3.61 -3.33 -2.90 ▁▃▆▇▅
MMP7 0 1 -4.01 1.55 -7.53 -4.96 -4.03 -3.16 -0.20 ▂▃▇▂▁
Myoglobin 0 1 -1.42 0.91 -3.30 -2.02 -1.59 -0.78 1.13 ▂▇▆▃▁
NT_proBNP 0 1 4.49 0.39 3.61 4.17 4.48 4.79 5.40 ▂▇▇▆▂
NrCAM 0 1 4.29 0.58 2.89 3.87 4.32 4.72 5.69 ▂▆▇▆▁
Osteopontin 0 1 5.18 0.40 4.08 4.89 5.17 5.41 6.32 ▁▆▇▃▁
PAI_1 0 1 0.00 0.41 -0.99 -0.33 0.00 0.30 0.89 ▂▆▇▇▂
PAPP_A 0 1 -2.84 0.14 -3.15 -2.97 -2.84 -2.72 -2.49 ▂▇▇▆▁
PLGF 0 1 3.88 0.38 2.64 3.69 3.89 4.12 4.71 ▁▂▇▇▂
PYY 0 1 2.98 0.29 2.40 2.83 3.00 3.18 3.74 ▃▇▇▅▁
Pancreatic_polypeptide 0 1 -0.01 0.70 -1.61 -0.51 0.14 0.47 1.50 ▂▅▅▇▁
Prolactin 0 1 0.05 0.29 -0.39 -0.17 0.00 0.18 0.79 ▇▇▆▃▂
Prostatic_Acid_Phosphatase 0 1 -1.69 0.05 -1.80 -1.74 -1.69 -1.66 -1.54 ▂▇▇▂▁
Protein_S 0 1 -2.27 0.41 -3.15 -2.58 -2.26 -1.92 -1.55 ▃▅▇▇▆
Pulmonary_and_Activation_Regulat 0 1 -1.50 0.45 -2.44 -1.83 -1.51 -1.17 -0.45 ▃▇▆▇▂
RANTES 0 1 -6.54 0.29 -7.24 -6.73 -6.57 -6.39 -5.84 ▁▆▇▃▂
Resistin 0 1 -18.24 5.18 -30.16 -22.13 -18.01 -15.20 -6.59 ▂▅▇▅▂
S100b 0 1 1.18 0.37 0.19 0.96 1.16 1.38 2.20 ▁▃▇▂▁
SGOT 0 1 -0.49 0.37 -1.90 -0.75 -0.48 -0.21 0.18 ▁▁▆▇▅
SHBG 0 1 -2.69 0.49 -3.73 -3.05 -2.71 -2.34 -1.56 ▂▇▇▆▂
SOD 0 1 5.30 0.41 4.38 5.01 5.31 5.55 6.46 ▂▇▇▃▁
Serum_Amyloid_P 0 1 -6.08 0.52 -7.18 -6.44 -6.21 -5.61 -4.70 ▂▇▅▃▁
Sortilin 0 1 3.79 0.87 1.51 3.18 3.87 4.37 5.68 ▂▅▇▆▃
Stem_Cell_Factor 0 1 3.27 0.35 2.22 3.04 3.31 3.47 4.08 ▁▅▇▇▂
TGF_alpha 0 1 9.78 1.11 7.50 9.06 9.60 10.61 13.08 ▃▇▆▃▁
TIMP_1 0 1 11.52 1.64 8.20 10.53 11.34 12.35 16.55 ▅▇▇▃▁
TNF_RII 0 1 -0.63 0.36 -1.66 -0.87 -0.65 -0.33 0.41 ▁▅▇▅▁
TRAIL_R3 0 1 -0.59 0.23 -1.31 -0.73 -0.56 -0.47 0.10 ▁▃▇▂▁
TTR_prealbumin 0 1 2.85 0.14 2.48 2.77 2.89 2.94 3.09 ▁▃▅▇▅
Tamm_Horsfall_Protein_THP 0 1 -3.12 0.03 -3.21 -3.14 -3.13 -3.10 -3.04 ▁▅▇▃▂
Thrombomodulin 0 1 -1.53 0.25 -2.05 -1.68 -1.53 -1.34 -1.02 ▂▆▇▆▂
Thrombopoietin 0 1 -0.72 0.21 -1.54 -0.84 -0.70 -0.63 -0.30 ▁▁▆▇▃
Thymus_Expressed_Chemokine_TECK 0 1 3.77 0.73 2.14 3.28 3.75 4.32 5.68 ▃▆▇▅▂
Thyroid_Stimulating_Hormone 0 1 -4.22 0.79 -6.19 -4.73 -4.27 -3.83 -2.04 ▁▅▇▃▁
Thyroxine_Binding_Globulin 0 1 -1.49 0.40 -2.30 -1.71 -1.49 -1.24 -0.60 ▃▅▇▆▂
Tissue_Factor 0 1 1.14 0.54 0.00 0.71 1.15 1.51 2.71 ▂▆▇▂▁
Transferrin 0 1 2.90 0.29 2.28 2.71 2.89 3.14 3.50 ▃▃▇▅▃
Trefoil_Factor_3_TFF3 0 1 -3.95 0.34 -4.91 -4.20 -3.91 -3.77 -3.17 ▁▂▇▆▂
VCAM_1 0 1 2.64 0.32 2.03 2.42 2.67 2.83 3.47 ▅▃▇▃▁
VEGF 0 1 16.70 2.10 12.23 15.03 17.08 18.19 21.18 ▃▇▇▆▂
Vitronectin 0 1 -0.27 0.32 -1.08 -0.46 -0.28 -0.05 0.41 ▁▅▇▆▂
von_Willebrand_Factor 0 1 -4.01 0.38 -4.92 -4.27 -4.02 -3.73 -3.06 ▂▇▇▆▂
###################################
# Verifying the data dimensions
# for the test set
###################################
dim(PMA_PreModelling_Test)
## [1]  66 128

1.4 Data Exploration


[A] Numeric variables which demonstrated differential relationships with the Class response variable include:
     [A.1] Fibrinogen variable (numeric)
     [A.2] GRO_alpha variable (numeric)
     [A.3] FAS variable (numeric)
     [A.4] Eotaxin_3 variable (numeric)
     [A.5] Creatine_Kinase_MB variable (numeric)
     [A.6] IGF_BP2 variable (numeric)
     [A.7] Gamma_Interferon_Induced_Monokin variable (numeric)
     [A.8] MCP_2 variable (numeric)
     [A.9] MIF variable (numeric)
     [A.10] Pancreatic_polypteptide variable (numeric)
     [A.11] PAI_1 variable (numeric)
     [A.12] NT_proBNP variable (numeric)
     [A.13] MMP10 variable (numeric)
     [A.14] MMP7 variable (numeric)
     [A.15] TRAIL_R3 variable (numeric)
     [A.16] Pulmonary_and_Activation_Regulat variable (numeric)
     [A.17] Resistin variable (numeric)
     [A.18] VEGF variable (numeric)
     [A.19] Thrombopoietin variable (numeric)
     [A.20] Thymus_Expressed_Chemokine_TECK variable (numeric)

[B] Factor variables which demonstrated relatively better differentiation of the Class response variable between its Control and Impaired levels include:
     [B.1] E2 variable (factor)
     [B.2] E4 variable (factor)

Code Chunk | Output
##################################
# Loading dataset
##################################
EDA <- PMA_PreModelling_Train

##################################
# Listing all predictors
##################################
EDA.Predictors <- EDA[,!names(EDA) %in% c("Class")]

##################################
# Listing all numeric predictors
##################################
EDA.Predictors.Numeric <- EDA.Predictors[,sapply(EDA.Predictors, is.numeric)]
ncol(EDA.Predictors.Numeric)
## [1] 124
names(EDA.Predictors.Numeric)
##   [1] "ACE_CD143_Angiotensin_Converti"   "ACTH_Adrenocorticotropic_Hormon" 
##   [3] "AXL"                              "Adiponectin"                     
##   [5] "Alpha_1_Antichymotrypsin"         "Alpha_1_Antitrypsin"             
##   [7] "Alpha_1_Microglobulin"            "Alpha_2_Macroglobulin"           
##   [9] "Angiopoietin_2_ANG_2"             "Angiotensinogen"                 
##  [11] "Apolipoprotein_A_IV"              "Apolipoprotein_A1"               
##  [13] "Apolipoprotein_A2"                "Apolipoprotein_B"                
##  [15] "Apolipoprotein_CI"                "Apolipoprotein_CIII"             
##  [17] "Apolipoprotein_D"                 "Apolipoprotein_E"                
##  [19] "Apolipoprotein_H"                 "B_Lymphocyte_Chemoattractant_BL" 
##  [21] "BMP_6"                            "Beta_2_Microglobulin"            
##  [23] "Betacellulin"                     "C_Reactive_Protein"              
##  [25] "CD40"                             "CD5L"                            
##  [27] "Calbindin"                        "Calcitonin"                      
##  [29] "CgA"                              "Clusterin_Apo_J"                 
##  [31] "Complement_3"                     "Complement_Factor_H"             
##  [33] "Connective_Tissue_Growth_Factor"  "Cortisol"                        
##  [35] "Creatine_Kinase_MB"               "Cystatin_C"                      
##  [37] "EGF_R"                            "EN_RAGE"                         
##  [39] "ENA_78"                           "Eotaxin_3"                       
##  [41] "FAS"                              "FSH_Follicle_Stimulation_Hormon" 
##  [43] "Fas_Ligand"                       "Fatty_Acid_Binding_Protein"      
##  [45] "Ferritin"                         "Fetuin_A"                        
##  [47] "Fibrinogen"                       "GRO_alpha"                       
##  [49] "Gamma_Interferon_induced_Monokin" "Glutathione_S_Transferase_alpha" 
##  [51] "HB_EGF"                           "HCC_4"                           
##  [53] "Hepatocyte_Growth_Factor_HGF"     "I_309"                           
##  [55] "ICAM_1"                           "IGF_BP_2"                        
##  [57] "IL_11"                            "IL_13"                           
##  [59] "IL_16"                            "IL_17E"                          
##  [61] "IL_1alpha"                        "IL_3"                            
##  [63] "IL_4"                             "IL_5"                            
##  [65] "IL_6"                             "IL_6_Receptor"                   
##  [67] "IL_7"                             "IL_8"                            
##  [69] "IP_10_Inducible_Protein_10"       "IgA"                             
##  [71] "Insulin"                          "Kidney_Injury_Molecule_1_KIM_1"  
##  [73] "LOX_1"                            "Leptin"                          
##  [75] "Lipoprotein_a"                    "MCP_1"                           
##  [77] "MCP_2"                            "MIF"                             
##  [79] "MIP_1alpha"                       "MIP_1beta"                       
##  [81] "MMP_2"                            "MMP_3"                           
##  [83] "MMP10"                            "MMP7"                            
##  [85] "Myoglobin"                        "NT_proBNP"                       
##  [87] "NrCAM"                            "Osteopontin"                     
##  [89] "PAI_1"                            "PAPP_A"                          
##  [91] "PLGF"                             "PYY"                             
##  [93] "Pancreatic_polypeptide"           "Prolactin"                       
##  [95] "Prostatic_Acid_Phosphatase"       "Protein_S"                       
##  [97] "Pulmonary_and_Activation_Regulat" "RANTES"                          
##  [99] "Resistin"                         "S100b"                           
## [101] "SGOT"                             "SHBG"                            
## [103] "SOD"                              "Serum_Amyloid_P"                 
## [105] "Sortilin"                         "Stem_Cell_Factor"                
## [107] "TGF_alpha"                        "TIMP_1"                          
## [109] "TNF_RII"                          "TRAIL_R3"                        
## [111] "TTR_prealbumin"                   "Tamm_Horsfall_Protein_THP"       
## [113] "Thrombomodulin"                   "Thrombopoietin"                  
## [115] "Thymus_Expressed_Chemokine_TECK"  "Thyroid_Stimulating_Hormone"     
## [117] "Thyroxine_Binding_Globulin"       "Tissue_Factor"                   
## [119] "Transferrin"                      "Trefoil_Factor_3_TFF3"           
## [121] "VCAM_1"                           "VEGF"                            
## [123] "Vitronectin"                      "von_Willebrand_Factor"
##################################
# Listing all factor predictors
##################################
EDA.Predictors.Factor <- EDA.Predictors[,sapply(EDA.Predictors, is.factor)]
ncol(EDA.Predictors.Factor)
## [1] 3
names(EDA.Predictors.Factor)
## [1] "E4" "E3" "E2"
##################################
# Formulating the box plots
##################################
featurePlot(x = EDA.Predictors.Numeric[1:124], 
            y = EDA$Class,
            plot = "box",
            scales = list(x = list(relation="free", rot = 90), 
                          y = list(relation="free")),
            adjust = 1.5, 
            pch = "|",
            layout=(c(4,4)))

##################################
# Restructuring the dataset for
# for barchart analysis
##################################
EDA.Bar.Source <- as.data.frame(cbind(EDA$Class,
                                      EDA.Predictors.Factor))
names(EDA.Bar.Source) <- c("Class",names(EDA.Predictors.Factor))
ncol(EDA.Bar.Source)
## [1] 4
##################################
# Creating a function to formulate
# the proportions table
##################################
EDA.PropTable.Function <- function(FactorVar) {
  EDA.Bar.Source.FactorVar <- EDA.Bar.Source[,c("Class",
                                                FactorVar)]
  EDA.Bar.Source.FactorVar.Prop <- as.data.frame(prop.table(table(EDA.Bar.Source.FactorVar), 2))
  names(EDA.Bar.Source.FactorVar.Prop)[2] <- "Class"
  EDA.Bar.Source.FactorVar.Prop$Variable <- rep(FactorVar,nrow(EDA.Bar.Source.FactorVar.Prop))

  return(EDA.Bar.Source.FactorVar.Prop)

}

EDA.Bar.Source.FactorVar.Prop <- rbind(EDA.PropTable.Function("E2"),
                                       EDA.PropTable.Function("E3"),
                                       EDA.PropTable.Function("E4"))

(EDA.Barchart.FactorVar <- barchart(EDA.Bar.Source.FactorVar.Prop[,3] ~
                                      EDA.Bar.Source.FactorVar.Prop[,2] | EDA.Bar.Source.FactorVar.Prop[,4],
                                      data=EDA.Bar.Source.FactorVar.Prop,
                                      groups = EDA.Bar.Source.FactorVar.Prop[,1],
                                      stack=TRUE,
                                      ylab = "Proportion",
                                      xlab = "Class",
                                      auto.key = list(adj=1, space="top", columns=2),
                                      layout=(c(3,1))))

1.5 Univariate Filters (UF)

1.5.1 Linear Discriminant Analysis Without UF (LDA_FULL)


Linear Discriminant Analysis finds a linear combination of features that best separates the classes in a data set by projecting the data onto a lower-dimensional space that maximizes the separation between the classes. The algorithm searches for a set of linear discriminants that maximize the ratio of between-class variance to within-class variance by evaluating directions in the feature space that best separate the different classes of data. LDA assumes that the data has a Gaussian distribution and that the covariance matrices of the different classes are equal, in addition to the data being linearly separable by the presence of a linear decision boundary can accurately classify the different classes.

[A] The linear discriminant analysis model from the MASS package was implemented without recursive feature elimination through the caret package.

[B] The model does not contain any hyperparameter.

[C] The cross-validated model performance of the final model is summarized as follows:
     [C.1] Final model configuration is fixed due to the absence of a hyperparameter
     [C.2] AUROC = 0.80151

[D] The model does not allow for ranking of predictors in terms of variable importance.

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.77199

Code Chunk | Output
##################################
# Converting all predictors to numeric
# for both train and test data
##################################
for (i in 1:ncol(PMA_PreModelling_Train)){
  if (names(PMA_PreModelling_Train)[i]!="Class"){
    PMA_PreModelling_Train[,i] <- as.numeric(PMA_PreModelling_Train[,i])
  }
}
summary(PMA_PreModelling_Train)
##  ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon
##  Min.   :-0.6756                Min.   :-2.207                 
##  1st Qu.: 0.9462                1st Qu.:-1.715                 
##  Median : 1.3013                Median :-1.561                 
##  Mean   : 1.3198                Mean   :-1.538                 
##  3rd Qu.: 1.7191                3rd Qu.:-1.347                 
##  Max.   : 2.8398                Max.   :-0.844                 
##       AXL           Adiponectin     Alpha_1_Antichymotrypsin
##  Min.   :-0.9230   Min.   :-6.725   Min.   :0.2624          
##  1st Qu.: 0.0000   1st Qu.:-5.669   1st Qu.:1.1314          
##  Median : 0.2804   Median :-5.185   Median :1.3610          
##  Mean   : 0.3093   Mean   :-5.201   Mean   :1.3605          
##  3rd Qu.: 0.6077   3rd Qu.:-4.780   3rd Qu.:1.5892          
##  Max.   : 1.5214   Max.   :-3.507   Max.   :2.3026          
##  Alpha_1_Antitrypsin Alpha_1_Microglobulin Alpha_2_Macroglobulin
##  Min.   :-17.028     Min.   :-4.343        Min.   :-289.68      
##  1st Qu.:-14.071     1st Qu.:-3.270        1st Qu.:-186.64      
##  Median :-13.004     Median :-2.937        Median :-160.01      
##  Mean   :-13.052     Mean   :-2.932        Mean   :-158.61      
##  3rd Qu.:-12.096     3rd Qu.:-2.590        3rd Qu.:-134.62      
##  Max.   : -8.192     Max.   :-1.772        Max.   : -59.46      
##  Angiopoietin_2_ANG_2 Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1
##  Min.   :-0.5447      Min.   :1.752   Min.   :-2.9565     Min.   :-8.680   
##  1st Qu.: 0.4700      1st Qu.:2.119   1st Qu.:-2.1203     1st Qu.:-7.763   
##  Median : 0.6419      Median :2.320   Median :-1.8326     Median :-7.470   
##  Mean   : 0.6730      Mean   :2.318   Mean   :-1.8544     Mean   :-7.483   
##  3rd Qu.: 0.8755      3rd Qu.:2.497   3rd Qu.:-1.6094     3rd Qu.:-7.209   
##  Max.   : 1.5261      Max.   :2.881   Max.   :-0.7765     Max.   :-6.166   
##  Apolipoprotein_A2 Apolipoprotein_B Apolipoprotein_CI Apolipoprotein_CIII
##  Min.   :-1.8971   Min.   :-9.937   Min.   :-3.3242   Min.   :-3.689     
##  1st Qu.:-0.9676   1st Qu.:-6.630   1st Qu.:-1.8326   1st Qu.:-2.773     
##  Median :-0.6733   Median :-5.703   Median :-1.6094   Median :-2.526     
##  Mean   :-0.6354   Mean   :-5.578   Mean   :-1.5833   Mean   :-2.494     
##  3rd Qu.:-0.3147   3rd Qu.:-4.539   3rd Qu.:-1.3667   3rd Qu.:-2.207     
##  Max.   : 0.9555   Max.   :-2.153   Max.   :-0.2744   Max.   :-1.238     
##  Apolipoprotein_D Apolipoprotein_E Apolipoprotein_H  
##  Min.   :0.470    Min.   :0.5911   Min.   :-2.23379  
##  1st Qu.:1.209    1st Qu.:2.3344   1st Qu.:-0.59782  
##  Median :1.411    Median :2.8181   Median :-0.37005  
##  Mean   :1.440    Mean   :2.8062   Mean   :-0.32122  
##  3rd Qu.:1.668    3rd Qu.:3.2863   3rd Qu.:-0.06112  
##  Max.   :2.272    Max.   :5.4442   Max.   : 0.92696  
##  B_Lymphocyte_Chemoattractant_BL     BMP_6         Beta_2_Microglobulin
##  Min.   :0.7318                  Min.   :-2.7612   Min.   :-0.54473    
##  1st Qu.:1.6731                  1st Qu.:-2.1516   1st Qu.:-0.04082    
##  Median :1.9805                  Median :-1.8774   Median : 0.18232    
##  Mean   :2.0175                  Mean   :-1.9114   Mean   : 0.16757    
##  3rd Qu.:2.3714                  3rd Qu.:-1.6753   3rd Qu.: 0.33647    
##  Max.   :4.0237                  Max.   :-0.8166   Max.   : 0.99325    
##   Betacellulin   C_Reactive_Protein      CD40              CD5L         
##  Min.   :10.00   Min.   :-8.517     Min.   :-1.8644   Min.   :-1.23787  
##  1st Qu.:42.00   1st Qu.:-6.645     1st Qu.:-1.3761   1st Qu.:-0.35667  
##  Median :51.00   Median :-5.843     Median :-1.2734   Median :-0.06188  
##  Mean   :51.01   Mean   :-5.874     Mean   :-1.2584   Mean   :-0.05310  
##  3rd Qu.:59.00   3rd Qu.:-5.083     3rd Qu.:-1.1238   3rd Qu.: 0.26236  
##  Max.   :82.00   Max.   :-2.937     Max.   :-0.5475   Max.   : 1.16315  
##    Calbindin       Calcitonin           CgA        Clusterin_Apo_J
##  Min.   :10.96   Min.   :-0.7134   Min.   :135.6   Min.   :1.872  
##  1st Qu.:19.77   1st Qu.: 0.9555   1st Qu.:278.0   1st Qu.:2.708  
##  Median :22.25   Median : 1.6487   Median :331.5   Median :2.890  
##  Mean   :22.43   Mean   : 1.6788   Mean   :333.3   Mean   :2.882  
##  3rd Qu.:24.80   3rd Qu.: 2.2824   3rd Qu.:392.1   3rd Qu.:3.045  
##  Max.   :33.78   Max.   : 3.8918   Max.   :535.4   Max.   :3.584  
##   Complement_3     Complement_Factor_H Connective_Tissue_Growth_Factor
##  Min.   :-23.387   Min.   :-0.8387     Min.   :0.1823                 
##  1st Qu.:-17.567   1st Qu.: 2.7531     1st Qu.:0.6419                 
##  Median :-15.524   Median : 3.6000     Median :0.7885                 
##  Mean   :-15.610   Mean   : 3.5541     Mean   :0.7739                 
##  3rd Qu.:-13.882   3rd Qu.: 4.2548     3rd Qu.:0.9163                 
##  Max.   : -9.563   Max.   : 7.6238     Max.   :1.4110                 
##     Cortisol     Creatine_Kinase_MB   Cystatin_C        EGF_R         
##  Min.   : 0.10   Min.   :-1.872     Min.   :7.432   Min.   :-1.36135  
##  1st Qu.: 9.80   1st Qu.:-1.724     1st Qu.:8.321   1st Qu.:-0.85727  
##  Median :12.00   Median :-1.671     Median :8.564   Median :-0.68354  
##  Mean   :11.98   Mean   :-1.674     Mean   :8.586   Mean   :-0.70130  
##  3rd Qu.:14.00   3rd Qu.:-1.626     3rd Qu.:8.839   3rd Qu.:-0.54612  
##  Max.   :29.00   Max.   :-1.384     Max.   :9.694   Max.   :-0.06112  
##     EN_RAGE            ENA_78         Eotaxin_3           FAS         
##  Min.   :-8.3774   Min.   :-1.405   Min.   :  7.00   Min.   :-1.5141  
##  1st Qu.:-4.1997   1st Qu.:-1.381   1st Qu.: 44.00   1st Qu.:-0.7133  
##  Median :-3.6497   Median :-1.374   Median : 59.00   Median :-0.5276  
##  Mean   :-3.6353   Mean   :-1.372   Mean   : 58.17   Mean   :-0.5291  
##  3rd Qu.:-3.1466   3rd Qu.:-1.364   3rd Qu.: 70.00   3rd Qu.:-0.3147  
##  Max.   :-0.3857   Max.   :-1.339   Max.   :107.00   Max.   : 0.3365  
##  FSH_Follicle_Stimulation_Hormon   Fas_Ligand      Fatty_Acid_Binding_Protein
##  Min.   :-2.11511                Min.   :-0.1536   Min.   :-1.0441           
##  1st Qu.:-1.46606                1st Qu.: 2.3415   1st Qu.: 0.7998           
##  Median :-1.13570                Median : 3.1015   Median : 1.3865           
##  Mean   :-1.14259                Mean   : 2.9680   Mean   : 1.3529           
##  3rd Qu.:-0.87620                3rd Qu.: 3.6950   3rd Qu.: 1.8847           
##  Max.   : 0.09715                Max.   : 7.6328   Max.   : 3.7055           
##     Ferritin         Fetuin_A       Fibrinogen       GRO_alpha    
##  Min.   :0.6077   Min.   :0.470   Min.   :-8.874   Min.   :1.271  
##  1st Qu.:2.2895   1st Qu.:1.099   1st Qu.:-7.717   1st Qu.:1.351  
##  Median :2.7749   Median :1.308   Median :-7.323   Median :1.382  
##  Mean   :2.7646   Mean   :1.350   Mean   :-7.356   Mean   :1.378  
##  3rd Qu.:3.2915   3rd Qu.:1.609   3rd Qu.:-7.013   3rd Qu.:1.406  
##  Max.   :4.6333   Max.   :2.251   Max.   :-5.843   Max.   :1.495  
##  Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha
##  Min.   :2.393                    Min.   :0.5238                 
##  1st Qu.:2.707                    1st Qu.:0.8439                 
##  Median :2.783                    Median :0.9677                 
##  Mean   :2.786                    Mean   :0.9512                 
##  3rd Qu.:2.873                    3rd Qu.:1.0344                 
##  Max.   :3.065                    Max.   :1.3176                 
##      HB_EGF           HCC_4        Hepatocyte_Growth_Factor_HGF     I_309      
##  Min.   : 2.103   Min.   :-4.510   Min.   :-0.6349              Min.   :1.758  
##  1st Qu.: 5.786   1st Qu.:-3.730   1st Qu.: 0.0000              1st Qu.:2.708  
##  Median : 6.703   Median :-3.507   Median : 0.1823              Median :2.944  
##  Mean   : 6.833   Mean   :-3.500   Mean   : 0.1963              Mean   :2.958  
##  3rd Qu.: 7.865   3rd Qu.:-3.270   3rd Qu.: 0.4055              3rd Qu.:3.219  
##  Max.   :10.695   Max.   :-2.120   Max.   : 0.8755              Max.   :4.143  
##      ICAM_1           IGF_BP_2         IL_11           IL_13      
##  Min.   :-1.5332   Min.   :4.635   Min.   :1.755   Min.   :1.259  
##  1st Qu.:-0.8298   1st Qu.:5.179   1st Qu.:3.706   1st Qu.:1.274  
##  Median :-0.5903   Median :5.323   Median :4.805   Median :1.283  
##  Mean   :-0.5908   Mean   :5.317   Mean   :4.725   Mean   :1.284  
##  3rd Qu.:-0.3828   3rd Qu.:5.453   3rd Qu.:5.776   3rd Qu.:1.290  
##  Max.   : 0.5171   Max.   :5.948   Max.   :8.491   Max.   :1.321  
##      IL_16           IL_17E        IL_1alpha           IL_3       
##  Min.   :1.187   Min.   :1.052   Min.   :-8.517   Min.   :-5.915  
##  1st Qu.:2.521   1st Qu.:4.149   1st Qu.:-7.824   1st Qu.:-4.269  
##  Median :2.909   Median :4.749   Median :-7.524   Median :-3.912  
##  Mean   :2.929   Mean   :4.855   Mean   :-7.514   Mean   :-3.941  
##  3rd Qu.:3.351   3rd Qu.:5.631   3rd Qu.:-7.264   3rd Qu.:-3.631  
##  Max.   :4.937   Max.   :8.952   Max.   :-5.952   Max.   :-2.453  
##       IL_4             IL_5              IL_6         IL_6_Receptor     
##  Min.   :0.5306   Min.   :-1.4271   Min.   :-1.5343   Min.   :-0.67562  
##  1st Qu.:1.4586   1st Qu.:-0.1221   1st Qu.:-0.4127   1st Qu.:-0.12541  
##  Median :1.8083   Median : 0.1823   Median :-0.1599   Median : 0.09669  
##  Mean   :1.7732   Mean   : 0.1866   Mean   :-0.1540   Mean   : 0.09492  
##  3rd Qu.:2.1459   3rd Qu.: 0.4700   3rd Qu.: 0.1410   3rd Qu.: 0.35404  
##  Max.   :3.0445   Max.   : 1.9459   Max.   : 1.8138   Max.   : 0.83099  
##       IL_7             IL_8       IP_10_Inducible_Protein_10      IgA         
##  Min.   :0.5598   Min.   :1.574   Min.   :4.317              Min.   :-10.520  
##  1st Qu.:2.1548   1st Qu.:1.680   1st Qu.:5.398              1st Qu.: -6.645  
##  Median :2.7934   Median :1.705   Median :5.753              Median : -6.119  
##  Mean   :2.8392   Mean   :1.704   Mean   :5.755              Mean   : -6.121  
##  3rd Qu.:3.7055   3rd Qu.:1.728   3rd Qu.:6.064              3rd Qu.: -5.573  
##  Max.   :5.7056   Max.   :1.807   Max.   :7.501              Max.   : -4.200  
##     Insulin        Kidney_Injury_Molecule_1_KIM_1     LOX_1      
##  Min.   :-2.1692   Min.   :-1.256                 Min.   :0.000  
##  1st Qu.:-1.4466   1st Qu.:-1.204                 1st Qu.:1.030  
##  Median :-1.2462   Median :-1.183                 Median :1.281  
##  Mean   :-1.2329   Mean   :-1.185                 Mean   :1.283  
##  3rd Qu.:-1.0340   3rd Qu.:-1.164                 3rd Qu.:1.526  
##  Max.   :-0.1586   Max.   :-1.105                 Max.   :2.272  
##      Leptin        Lipoprotein_a        MCP_1           MCP_2       
##  Min.   :-2.1468   Min.   :-6.812   Min.   :5.826   Min.   :0.4006  
##  1st Qu.:-1.6996   1st Qu.:-5.308   1st Qu.:6.319   1st Qu.:1.5304  
##  Median :-1.5047   Median :-4.605   Median :6.494   Median :1.8528  
##  Mean   :-1.5042   Mean   :-4.417   Mean   :6.497   Mean   :1.8691  
##  3rd Qu.:-1.3295   3rd Qu.:-3.490   3rd Qu.:6.678   3rd Qu.:2.1821  
##  Max.   :-0.6206   Max.   :-1.386   Max.   :7.230   Max.   :4.0237  
##       MIF           MIP_1alpha       MIP_1beta         MMP_2        
##  Min.   :-2.847   Min.   :0.9346   Min.   :1.946   Min.   :0.09809  
##  1st Qu.:-2.120   1st Qu.:3.3377   1st Qu.:2.565   1st Qu.:2.33214  
##  Median :-1.897   Median :4.0495   Median :2.833   Median :2.81512  
##  Mean   :-1.864   Mean   :4.0489   Mean   :2.814   Mean   :2.87534  
##  3rd Qu.:-1.661   3rd Qu.:4.6857   3rd Qu.:3.045   3rd Qu.:3.55121  
##  Max.   :-0.844   Max.   :6.7959   Max.   :4.007   Max.   :5.35895  
##      MMP_3             MMP10             MMP7           Myoglobin      
##  Min.   :-4.4228   Min.   :-4.934   Min.   :-8.3975   Min.   :-3.1701  
##  1st Qu.:-2.7489   1st Qu.:-3.938   1st Qu.:-4.8199   1st Qu.:-2.0402  
##  Median :-2.4534   Median :-3.650   Median :-3.7735   Median :-1.4697  
##  Mean   :-2.4455   Mean   :-3.635   Mean   :-3.7894   Mean   :-1.3671  
##  3rd Qu.:-2.1203   3rd Qu.:-3.352   3rd Qu.:-2.7140   3rd Qu.:-0.7988  
##  Max.   :-0.5276   Max.   :-2.207   Max.   :-0.2222   Max.   : 1.7750  
##    NT_proBNP         NrCAM        Osteopontin        PAI_1         
##  Min.   :3.178   Min.   :2.639   Min.   :4.111   Min.   :-0.99085  
##  1st Qu.:4.350   1st Qu.:3.998   1st Qu.:4.963   1st Qu.:-0.16655  
##  Median :4.554   Median :4.394   Median :5.187   Median : 0.09396  
##  Mean   :4.552   Mean   :4.362   Mean   :5.204   Mean   : 0.07743  
##  3rd Qu.:4.775   3rd Qu.:4.749   3rd Qu.:5.442   3rd Qu.: 0.32005  
##  Max.   :5.886   Max.   :6.011   Max.   :6.308   Max.   : 1.16611  
##      PAPP_A            PLGF            PYY        Pancreatic_polypeptide
##  Min.   :-3.311   Min.   :2.485   Min.   :2.186   Min.   :-2.12026      
##  1st Qu.:-2.936   1st Qu.:3.638   1st Qu.:2.833   1st Qu.:-0.52763      
##  Median :-2.871   Median :3.871   Median :2.996   Median :-0.04082      
##  Mean   :-2.854   Mean   :3.912   Mean   :3.015   Mean   :-0.01323      
##  3rd Qu.:-2.749   3rd Qu.:4.205   3rd Qu.:3.178   3rd Qu.: 0.53063      
##  Max.   :-2.520   Max.   :5.170   Max.   :3.932   Max.   : 1.93152      
##    Prolactin        Prostatic_Acid_Phosphatase   Protein_S     
##  Min.   :-1.30933   Min.   :-1.934             Min.   :-3.338  
##  1st Qu.:-0.13926   1st Qu.:-1.717             1st Qu.:-2.464  
##  Median : 0.00000   Median :-1.690             Median :-2.259  
##  Mean   : 0.04495   Mean   :-1.685             Mean   :-2.240  
##  3rd Qu.: 0.25799   3rd Qu.:-1.654             3rd Qu.:-2.000  
##  Max.   : 0.99325   Max.   :-1.424             Max.   :-1.221  
##  Pulmonary_and_Activation_Regulat     RANTES          Resistin      
##  Min.   :-2.5133                  Min.   :-7.222   Min.   :-34.967  
##  1st Qu.:-1.8326                  1st Qu.:-6.725   1st Qu.:-21.468  
##  Median :-1.5141                  Median :-6.502   Median :-17.466  
##  Mean   :-1.4880                  Mean   :-6.511   Mean   :-17.641  
##  3rd Qu.:-1.1712                  3rd Qu.:-6.320   3rd Qu.:-13.501  
##  Max.   :-0.2744                  Max.   :-5.547   Max.   : -2.239  
##      S100b             SGOT              SHBG             SOD       
##  Min.   :0.1874   Min.   :-1.3471   Min.   :-4.135   Min.   :4.317  
##  1st Qu.:1.0012   1st Qu.:-0.6349   1st Qu.:-2.813   1st Qu.:5.094  
##  Median :1.2544   Median :-0.4005   Median :-2.489   Median :5.366  
##  Mean   :1.2505   Mean   :-0.4057   Mean   :-2.477   Mean   :5.336  
##  3rd Qu.:1.4996   3rd Qu.:-0.1985   3rd Qu.:-2.120   3rd Qu.:5.583  
##  Max.   :2.3726   Max.   : 0.7419   Max.   :-1.109   Max.   :6.317  
##  Serum_Amyloid_P     Sortilin     Stem_Cell_Factor   TGF_alpha     
##  Min.   :-7.506   Min.   :1.654   Min.   :2.251    Min.   : 6.843  
##  1st Qu.:-6.377   1st Qu.:3.343   1st Qu.:3.045    1st Qu.: 8.859  
##  Median :-6.032   Median :3.867   Median :3.296    Median : 9.919  
##  Mean   :-6.017   Mean   :3.852   Mean   :3.301    Mean   : 9.801  
##  3rd Qu.:-5.655   3rd Qu.:4.371   3rd Qu.:3.526    3rd Qu.:10.695  
##  Max.   :-4.646   Max.   :6.225   Max.   :4.277    Max.   :13.827  
##      TIMP_1          TNF_RII           TRAIL_R3       TTR_prealbumin 
##  Min.   : 1.742   Min.   :-1.6607   Min.   :-1.2107   Min.   :2.485  
##  1st Qu.:10.490   1st Qu.:-0.8210   1st Qu.:-0.7008   1st Qu.:2.773  
##  Median :11.565   Median :-0.5978   Median :-0.5317   Median :2.833  
##  Mean   :11.750   Mean   :-0.5939   Mean   :-0.5394   Mean   :2.854  
##  3rd Qu.:12.697   3rd Qu.:-0.3784   3rd Qu.:-0.3849   3rd Qu.:2.944  
##  Max.   :18.881   Max.   : 0.4700   Max.   : 0.2694   Max.   :3.332  
##  Tamm_Horsfall_Protein_THP Thrombomodulin    Thrombopoietin    
##  Min.   :-3.206            Min.   :-2.0377   Min.   :-1.53957  
##  1st Qu.:-3.137            1st Qu.:-1.6256   1st Qu.:-0.88645  
##  Median :-3.117            Median :-1.4920   Median :-0.75100  
##  Mean   :-3.116            Mean   :-1.5050   Mean   :-0.75419  
##  3rd Qu.:-3.096            3rd Qu.:-1.3406   3rd Qu.:-0.62887  
##  Max.   :-2.995            Max.   :-0.8166   Max.   : 0.09762  
##  Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
##  Min.   :1.508                   Min.   :-6.190             
##  1st Qu.:3.343                   1st Qu.:-4.962             
##  Median :3.810                   Median :-4.510             
##  Mean   :3.848                   Mean   :-4.499             
##  3rd Qu.:4.316                   3rd Qu.:-4.017             
##  Max.   :6.225                   Max.   :-1.715             
##  Thyroxine_Binding_Globulin Tissue_Factor      Transferrin   
##  Min.   :-2.4769            Min.   :-0.2107   Min.   :1.932  
##  1st Qu.:-1.7720            1st Qu.: 0.8329   1st Qu.:2.708  
##  Median :-1.5141            Median : 1.2238   Median :2.890  
##  Mean   :-1.4788            Mean   : 1.1702   Mean   :2.909  
##  3rd Qu.:-1.2379            3rd Qu.: 1.4816   3rd Qu.:3.091  
##  Max.   :-0.2107            Max.   : 2.4849   Max.   :3.761  
##  Trefoil_Factor_3_TFF3     VCAM_1           VEGF        Vitronectin      
##  Min.   :-4.744        Min.   :1.723   Min.   :11.83   Min.   :-1.42712  
##  1st Qu.:-4.135        1st Qu.:2.485   1st Qu.:15.77   1st Qu.:-0.51083  
##  Median :-3.863        Median :2.708   Median :17.08   Median :-0.30111  
##  Mean   :-3.876        Mean   :2.688   Mean   :16.99   Mean   :-0.28473  
##  3rd Qu.:-3.650        3rd Qu.:2.890   3rd Qu.:18.10   3rd Qu.:-0.03564  
##  Max.   :-2.957        Max.   :3.689   Max.   :22.38   Max.   : 0.53063  
##  von_Willebrand_Factor      Class           E4              E3       
##  Min.   :-4.991        Impaired: 73   Min.   :1.000   Min.   :1.000  
##  1st Qu.:-4.200        Control :194   1st Qu.:1.000   1st Qu.:2.000  
##  Median :-3.912                       Median :1.000   Median :2.000  
##  Mean   :-3.906                       Mean   :1.401   Mean   :1.918  
##  3rd Qu.:-3.612                       3rd Qu.:2.000   3rd Qu.:2.000  
##  Max.   :-2.957                       Max.   :2.000   Max.   :2.000  
##        E2       
##  Min.   :1.000  
##  1st Qu.:1.000  
##  Median :1.000  
##  Mean   :1.161  
##  3rd Qu.:1.000  
##  Max.   :2.000
for (i in 1:ncol(PMA_PreModelling_Test)){
  if (names(PMA_PreModelling_Test)[i]!="Class"){
    PMA_PreModelling_Test[,i] <- as.numeric(PMA_PreModelling_Test[,i])
  }
}
summary(PMA_PreModelling_Test)
##  ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon
##  Min.   :-0.5473                Min.   :-2.2073                
##  1st Qu.: 0.9462                1st Qu.:-1.7148                
##  Median : 1.3013                Median :-1.5374                
##  Mean   : 1.3105                Mean   :-1.5311                
##  3rd Qu.: 1.6320                3rd Qu.:-1.3863                
##  Max.   : 3.0890                Max.   :-0.7985                
##       AXL            Adiponectin     Alpha_1_Antichymotrypsin
##  Min.   :-0.73509   Min.   :-7.059   Min.   :0.1823          
##  1st Qu.:-0.08175   1st Qu.:-5.737   1st Qu.:1.0647          
##  Median : 0.28035   Median :-5.360   Median :1.3083          
##  Mean   : 0.25373   Mean   :-5.298   Mean   :1.3077          
##  3rd Qu.: 0.60768   3rd Qu.:-4.917   3rd Qu.:1.5686          
##  Max.   : 1.28634   Max.   :-3.474   Max.   :2.2192          
##  Alpha_1_Antitrypsin Alpha_1_Microglobulin Alpha_2_Macroglobulin
##  Min.   :-18.17      Min.   :-4.135        Min.   :-238.64      
##  1st Qu.:-14.70      1st Qu.:-3.284        1st Qu.:-186.64      
##  Median :-13.59      Median :-3.006        Median :-162.93      
##  Mean   :-13.49      Mean   :-2.983        Mean   :-162.89      
##  3rd Qu.:-12.31      3rd Qu.:-2.674        3rd Qu.:-136.53      
##  Max.   :-10.06      Max.   :-1.897        Max.   : -50.17      
##  Angiopoietin_2_ANG_2 Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1
##  Min.   :-0.05129     Min.   :1.710   Min.   :-2.749      Min.   :-8.568   
##  1st Qu.: 0.35372     1st Qu.:2.068   1st Qu.:-2.186      1st Qu.:-7.818   
##  Median : 0.55921     Median :2.276   Median :-1.897      Median :-7.497   
##  Mean   : 0.60278     Mean   :2.274   Mean   :-1.867      Mean   :-7.488   
##  3rd Qu.: 0.78846     3rd Qu.:2.430   3rd Qu.:-1.526      3rd Qu.:-7.176   
##  Max.   : 1.77495     Max.   :2.752   Max.   :-1.109      Max.   :-6.645   
##  Apolipoprotein_A2 Apolipoprotein_B Apolipoprotein_CI Apolipoprotein_CIII
##  Min.   :-1.9661   Min.   :-8.192   Min.   :-2.847    Min.   :-3.863     
##  1st Qu.:-0.9416   1st Qu.:-6.748   1st Qu.:-1.897    1st Qu.:-2.781     
##  Median :-0.7032   Median :-5.819   Median :-1.609    Median :-2.557     
##  Mean   :-0.6902   Mean   :-5.649   Mean   :-1.625    Mean   :-2.523     
##  3rd Qu.:-0.3533   3rd Qu.:-4.603   3rd Qu.:-1.309    3rd Qu.:-2.231     
##  Max.   : 0.5306   Max.   :-2.339   Max.   :-0.462    Max.   :-1.386     
##  Apolipoprotein_D Apolipoprotein_E Apolipoprotein_H 
##  Min.   :0.2624   Min.   :0.6626   Min.   :-1.1609  
##  1st Qu.:1.1314   1st Qu.:2.1526   1st Qu.:-0.5317  
##  Median :1.3863   Median :2.8181   Median :-0.2897  
##  Mean   :1.3943   Mean   :2.7160   Mean   :-0.3212  
##  3rd Qu.:1.6864   3rd Qu.:3.2363   3rd Qu.:-0.1032  
##  Max.   :2.6391   Max.   :4.6844   Max.   : 0.4402  
##  B_Lymphocyte_Chemoattractant_BL     BMP_6        Beta_2_Microglobulin
##  Min.   :0.7318                  Min.   :-2.669   Min.   :-0.51083    
##  1st Qu.:1.5304                  1st Qu.:-2.152   1st Qu.:-0.06188    
##  Median :1.8528                  Median :-1.964   Median : 0.18232    
##  Mean   :1.8766                  Mean   :-1.937   Mean   : 0.15566    
##  3rd Qu.:2.3714                  3rd Qu.:-1.675   3rd Qu.: 0.40547    
##  Max.   :2.9757                  Max.   :-1.181   Max.   : 0.83291    
##   Betacellulin   C_Reactive_Protein      CD40              CD5L         
##  Min.   :32.00   Min.   :-8.112     Min.   :-1.9390   Min.   :-1.96611  
##  1st Qu.:46.00   1st Qu.:-6.725     1st Qu.:-1.4420   1st Qu.:-0.36747  
##  Median :51.00   Median :-6.166     Median :-1.2574   Median :-0.05135  
##  Mean   :52.74   Mean   :-5.997     Mean   :-1.2773   Mean   :-0.08760  
##  3rd Qu.:59.75   3rd Qu.:-5.369     3rd Qu.:-1.1034   3rd Qu.: 0.24235  
##  Max.   :80.00   Max.   :-3.411     Max.   :-0.7766   Max.   : 0.91629  
##    Calbindin       Calcitonin           CgA        Clusterin_Apo_J
##  Min.   :10.81   Min.   :-0.7134   Min.   :166.6   Min.   :1.932  
##  1st Qu.:18.88   1st Qu.: 1.2014   1st Qu.:268.2   1st Qu.:2.565  
##  Median :21.06   Median : 1.6849   Median :324.7   Median :2.833  
##  Mean   :21.49   Mean   : 1.7250   Mean   :320.2   Mean   :2.845  
##  3rd Qu.:24.00   3rd Qu.: 2.2618   3rd Qu.:362.3   3rd Qu.:3.045  
##  Max.   :35.36   Max.   : 4.1109   Max.   :494.5   Max.   :3.761  
##   Complement_3    Complement_Factor_H Connective_Tissue_Growth_Factor
##  Min.   :-22.40   Min.   :0.2766      Min.   :0.09531                
##  1st Qu.:-17.50   1st Qu.:2.6019      1st Qu.:0.58779                
##  Median :-15.90   Median :3.3983      Median :0.74194                
##  Mean   :-15.91   Mean   :3.3897      Mean   :0.74507                
##  3rd Qu.:-14.34   3rd Qu.:4.2548      3rd Qu.:0.87547                
##  Max.   :-10.23   Max.   :6.5597      Max.   :1.41099                
##     Cortisol     Creatine_Kinase_MB   Cystatin_C        EGF_R        
##  Min.   : 0.10   Min.   :-1.872     Min.   :7.728   Min.   :-1.2694  
##  1st Qu.: 8.90   1st Qu.:-1.721     1st Qu.:8.301   1st Qu.:-0.8859  
##  Median :10.00   Median :-1.651     Median :8.544   Median :-0.6917  
##  Mean   :10.46   Mean   :-1.652     Mean   :8.576   Mean   :-0.6965  
##  3rd Qu.:12.00   3rd Qu.:-1.590     3rd Qu.:8.837   3rd Qu.:-0.5034  
##  Max.   :22.00   Max.   :-1.434     Max.   :9.694   Max.   : 0.1891  
##     EN_RAGE            ENA_78         Eotaxin_3           FAS         
##  Min.   :-8.3774   Min.   :-1.405   Min.   : 23.00   Min.   :-1.1087  
##  1st Qu.:-4.1836   1st Qu.:-1.382   1st Qu.: 43.00   1st Qu.:-0.7133  
##  Median :-3.6889   Median :-1.374   Median : 54.00   Median :-0.5798  
##  Mean   :-3.5986   Mean   :-1.376   Mean   : 55.55   Mean   :-0.5414  
##  3rd Qu.:-3.2189   3rd Qu.:-1.368   3rd Qu.: 64.00   3rd Qu.:-0.3355  
##  Max.   :-0.8675   Max.   :-1.353   Max.   :107.00   Max.   : 0.1823  
##  FSH_Follicle_Stimulation_Hormon   Fas_Ligand    Fatty_Acid_Binding_Protein
##  Min.   :-1.8101                 Min.   :0.288   Min.   :-0.4559           
##  1st Qu.:-1.2694                 1st Qu.:2.073   1st Qu.: 0.7998           
##  Median :-0.9763                 Median :2.665   Median : 1.1866           
##  Mean   :-1.0597                 Mean   :2.649   Mean   : 1.2884           
##  3rd Qu.:-0.8068                 3rd Qu.:3.162   3rd Qu.: 1.9192           
##  Max.   :-0.4757                 Max.   :5.377   Max.   : 3.2188           
##     Ferritin         Fetuin_A        Fibrinogen       GRO_alpha    
##  Min.   :0.8983   Min.   :0.5306   Min.   :-9.373   Min.   :1.271  
##  1st Qu.:2.1473   1st Qu.:1.0296   1st Qu.:-7.799   1st Qu.:1.351  
##  Median :2.6260   Median :1.3083   Median :-7.316   Median :1.372  
##  Mean   :2.7069   Mean   :1.3116   Mean   :-7.360   Mean   :1.378  
##  3rd Qu.:3.1672   3rd Qu.:1.6094   3rd Qu.:-6.970   3rd Qu.:1.398  
##  Max.   :4.9282   Max.   :2.2083   Max.   :-6.166   Max.   :1.514  
##  Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha
##  Min.   :2.545                    Min.   :0.5661                 
##  1st Qu.:2.698                    1st Qu.:0.8257                 
##  Median :2.768                    Median :0.9493                 
##  Mean   :2.772                    Mean   :0.9440                 
##  3rd Qu.:2.829                    3rd Qu.:1.0457                 
##  Max.   :3.046                    Max.   :1.3102                 
##      HB_EGF           HCC_4        Hepatocyte_Growth_Factor_HGF     I_309      
##  Min.   : 3.521   Min.   :-4.343   Min.   :-0.61619             Min.   :2.041  
##  1st Qu.: 5.949   1st Qu.:-3.772   1st Qu.:-0.05661             1st Qu.:2.724  
##  Median : 6.980   Median :-3.540   Median : 0.18232             Median :2.944  
##  Mean   : 6.844   Mean   :-3.538   Mean   : 0.18076             Mean   :2.921  
##  3rd Qu.: 7.745   3rd Qu.:-3.352   3rd Qu.: 0.33647             3rd Qu.:3.135  
##  Max.   :10.359   Max.   :-2.489   Max.   : 1.09861             Max.   :3.689  
##      ICAM_1           IGF_BP_2         IL_11           IL_13      
##  Min.   :-1.4661   Min.   :4.718   Min.   :2.031   Min.   :1.232  
##  1st Qu.:-0.7671   1st Qu.:5.127   1st Qu.:3.960   1st Qu.:1.274  
##  Median :-0.5903   Median :5.255   Median :4.838   Median :1.283  
##  Mean   :-0.5958   Mean   :5.263   Mean   :4.651   Mean   :1.283  
##  3rd Qu.:-0.3574   3rd Qu.:5.402   3rd Qu.:5.482   3rd Qu.:1.292  
##  Max.   : 0.3602   Max.   :5.916   Max.   :8.692   Max.   :1.310  
##      IL_16            IL_17E        IL_1alpha           IL_3       
##  Min.   :0.9568   Min.   :1.582   Min.   :-8.468   Min.   :-5.521  
##  1st Qu.:2.4411   1st Qu.:3.637   1st Qu.:-7.849   1st Qu.:-4.324  
##  Median :2.8763   Median :4.723   Median :-7.562   Median :-3.963  
##  Mean   :2.8176   Mean   :4.774   Mean   :-7.549   Mean   :-3.976  
##  3rd Qu.:3.3514   3rd Qu.:5.415   3rd Qu.:-7.279   3rd Qu.:-3.576  
##  Max.   :4.1028   Max.   :8.081   Max.   :-6.377   Max.   :-3.079  
##       IL_4             IL_5               IL_6          IL_6_Receptor     
##  Min.   :0.5306   Min.   :-1.04982   Min.   :-1.53428   Min.   :-0.74560  
##  1st Qu.:1.4586   1st Qu.:-0.03062   1st Qu.:-0.40924   1st Qu.:-0.20131  
##  Median :1.7226   Median : 0.22234   Median :-0.07205   Median : 0.00000  
##  Mean   :1.7445   Mean   : 0.22853   Mean   :-0.05216   Mean   : 0.06213  
##  3rd Qu.:2.0669   3rd Qu.: 0.53063   3rd Qu.: 0.34805   3rd Qu.: 0.27297  
##  Max.   :2.7081   Max.   : 1.13140   Max.   : 1.00562   Max.   : 0.77048  
##       IL_7            IL_8       IP_10_Inducible_Protein_10      IgA        
##  Min.   :1.310   Min.   :1.615   Min.   :4.263              Min.   :-7.621  
##  1st Qu.:2.379   1st Qu.:1.684   1st Qu.:5.323              1st Qu.:-6.571  
##  Median :3.148   Median :1.702   Median :5.617              Median :-6.012  
##  Mean   :3.143   Mean   :1.704   Mean   :5.636              Mean   :-6.066  
##  3rd Qu.:3.706   3rd Qu.:1.725   3rd Qu.:5.917              3rd Qu.:-5.606  
##  Max.   :5.000   Max.   :1.836   Max.   :7.208              Max.   :-4.733  
##     Insulin        Kidney_Injury_Molecule_1_KIM_1     LOX_1       
##  Min.   :-2.0099   Min.   :-1.251                 Min.   :0.0000  
##  1st Qu.:-1.4466   1st Qu.:-1.209                 1st Qu.:0.9649  
##  Median :-1.2169   Median :-1.187                 Median :1.2238  
##  Mean   :-1.1998   Mean   :-1.188                 Mean   :1.2085  
##  3rd Qu.:-1.0105   3rd Qu.:-1.166                 3rd Qu.:1.4351  
##  Max.   :-0.5025   Max.   :-1.124                 Max.   :2.3979  
##      Leptin        Lipoprotein_a        MCP_1           MCP_2       
##  Min.   :-1.9471   Min.   :-6.571   Min.   :5.889   Min.   :0.4006  
##  1st Qu.:-1.6334   1st Qu.:-5.116   1st Qu.:6.318   1st Qu.:1.5304  
##  Median :-1.4294   Median :-4.657   Median :6.482   Median :1.8528  
##  Mean   :-1.4363   Mean   :-4.515   Mean   :6.480   Mean   :1.8104  
##  3rd Qu.:-1.2409   3rd Qu.:-4.017   3rd Qu.:6.627   3rd Qu.:2.0827  
##  Max.   :-0.8387   Max.   :-2.040   Max.   :7.065   Max.   :3.7545  
##       MIF           MIP_1alpha      MIP_1beta         MMP_2       
##  Min.   :-2.797   Min.   :1.008   Min.   :1.917   Min.   :0.6248  
##  1st Qu.:-2.120   1st Qu.:3.302   1st Qu.:2.485   1st Qu.:2.5513  
##  Median :-1.966   Median :3.736   Median :2.773   Median :2.9937  
##  Mean   :-1.932   Mean   :3.898   Mean   :2.784   Mean   :3.0347  
##  3rd Qu.:-1.715   3rd Qu.:4.686   3rd Qu.:3.079   3rd Qu.:3.4798  
##  Max.   :-1.109   Max.   :5.735   Max.   :3.784   Max.   :6.0996  
##      MMP_3            MMP10             MMP7           Myoglobin      
##  Min.   :-3.650   Min.   :-4.948   Min.   :-7.5346   Min.   :-3.2968  
##  1st Qu.:-2.852   1st Qu.:-4.075   1st Qu.:-4.9634   1st Qu.:-2.0217  
##  Median :-2.532   Median :-3.612   Median :-4.0302   Median :-1.5874  
##  Mean   :-2.490   Mean   :-3.676   Mean   :-4.0148   Mean   :-1.4165  
##  3rd Qu.:-2.120   3rd Qu.:-3.331   3rd Qu.:-3.1640   3rd Qu.:-0.7765  
##  Max.   :-1.171   Max.   :-2.900   Max.   :-0.1953   Max.   : 1.1314  
##    NT_proBNP         NrCAM        Osteopontin        PAI_1          
##  Min.   :3.611   Min.   :2.890   Min.   :4.078   Min.   :-0.990849  
##  1st Qu.:4.174   1st Qu.:3.871   1st Qu.:4.892   1st Qu.:-0.334043  
##  Median :4.477   Median :4.317   Median :5.168   Median : 0.000000  
##  Mean   :4.488   Mean   :4.291   Mean   :5.177   Mean   :-0.003947  
##  3rd Qu.:4.794   3rd Qu.:4.725   3rd Qu.:5.410   3rd Qu.: 0.303112  
##  Max.   :5.398   Max.   :5.690   Max.   :6.315   Max.   : 0.885785  
##      PAPP_A            PLGF            PYY        Pancreatic_polypeptide
##  Min.   :-3.152   Min.   :2.639   Min.   :2.398   Min.   :-1.609438     
##  1st Qu.:-2.971   1st Qu.:3.689   1st Qu.:2.833   1st Qu.:-0.506693     
##  Median :-2.841   Median :3.892   Median :2.996   Median : 0.138816     
##  Mean   :-2.845   Mean   :3.884   Mean   :2.976   Mean   :-0.005258     
##  3rd Qu.:-2.719   3rd Qu.:4.123   3rd Qu.:3.178   3rd Qu.: 0.470004     
##  Max.   :-2.488   Max.   :4.710   Max.   :3.738   Max.   : 1.504077     
##    Prolactin        Prostatic_Acid_Phosphatase   Protein_S     
##  Min.   :-0.38566   Min.   :-1.800             Min.   :-3.154  
##  1st Qu.:-0.16558   1st Qu.:-1.739             1st Qu.:-2.579  
##  Median : 0.00000   Median :-1.690             Median :-2.259  
##  Mean   : 0.05195   Mean   :-1.692             Mean   :-2.268  
##  3rd Qu.: 0.18232   3rd Qu.:-1.659             3rd Qu.:-1.924  
##  Max.   : 0.78846   Max.   :-1.540             Max.   :-1.547  
##  Pulmonary_and_Activation_Regulat     RANTES          Resistin      
##  Min.   :-2.4418                  Min.   :-7.236   Min.   :-30.156  
##  1st Qu.:-1.8326                  1st Qu.:-6.725   1st Qu.:-22.131  
##  Median :-1.5141                  Median :-6.571   Median :-18.014  
##  Mean   :-1.5007                  Mean   :-6.540   Mean   :-18.245  
##  3rd Qu.:-1.1712                  3rd Qu.:-6.392   3rd Qu.:-15.202  
##  Max.   :-0.4463                  Max.   :-5.843   Max.   : -6.594  
##      S100b             SGOT              SHBG             SOD       
##  Min.   :0.1874   Min.   :-1.8971   Min.   :-3.730   Min.   :4.382  
##  1st Qu.:0.9600   1st Qu.:-0.7498   1st Qu.:-3.052   1st Qu.:5.006  
##  Median :1.1571   Median :-0.4780   Median :-2.711   Median :5.313  
##  Mean   :1.1819   Mean   :-0.4898   Mean   :-2.686   Mean   :5.302  
##  3rd Qu.:1.3807   3rd Qu.:-0.2138   3rd Qu.:-2.343   3rd Qu.:5.547  
##  Max.   :2.1950   Max.   : 0.1823   Max.   :-1.561   Max.   :6.461  
##  Serum_Amyloid_P     Sortilin     Stem_Cell_Factor   TGF_alpha     
##  Min.   :-7.182   Min.   :1.508   Min.   :2.219    Min.   : 7.500  
##  1st Qu.:-6.438   1st Qu.:3.177   1st Qu.:3.045    1st Qu.: 9.062  
##  Median :-6.215   Median :3.867   Median :3.314    Median : 9.596  
##  Mean   :-6.083   Mean   :3.787   Mean   :3.267    Mean   : 9.776  
##  3rd Qu.:-5.607   3rd Qu.:4.371   3rd Qu.:3.466    3rd Qu.:10.612  
##  Max.   :-4.699   Max.   :5.681   Max.   :4.078    Max.   :13.083  
##      TIMP_1          TNF_RII           TRAIL_R3        TTR_prealbumin 
##  Min.   : 8.198   Min.   :-1.6607   Min.   :-1.30636   Min.   :2.485  
##  1st Qu.:10.530   1st Qu.:-0.8675   1st Qu.:-0.73332   1st Qu.:2.773  
##  Median :11.341   Median :-0.6541   Median :-0.55547   Median :2.890  
##  Mean   :11.520   Mean   :-0.6270   Mean   :-0.58640   Mean   :2.854  
##  3rd Qu.:12.352   3rd Qu.:-0.3320   3rd Qu.:-0.47065   3rd Qu.:2.944  
##  Max.   :16.547   Max.   : 0.4055   Max.   : 0.09622   Max.   :3.091  
##  Tamm_Horsfall_Protein_THP Thrombomodulin   Thrombopoietin   
##  Min.   :-3.206            Min.   :-2.054   Min.   :-1.5396  
##  1st Qu.:-3.144            1st Qu.:-1.675   1st Qu.:-0.8383  
##  Median :-3.126            Median :-1.534   Median :-0.7039  
##  Mean   :-3.123            Mean   :-1.533   Mean   :-0.7192  
##  3rd Qu.:-3.101            3rd Qu.:-1.341   3rd Qu.:-0.6289  
##  Max.   :-3.041            Max.   :-1.019   Max.   :-0.3029  
##  Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
##  Min.   :2.141                   Min.   :-6.190             
##  1st Qu.:3.283                   1st Qu.:-4.733             
##  Median :3.753                   Median :-4.269             
##  Mean   :3.770                   Mean   :-4.221             
##  3rd Qu.:4.316                   3rd Qu.:-3.828             
##  Max.   :5.681                   Max.   :-2.040             
##  Thyroxine_Binding_Globulin Tissue_Factor     Transferrin   
##  Min.   :-2.3026            Min.   :0.0000   Min.   :2.282  
##  1st Qu.:-1.7148            1st Qu.:0.7053   1st Qu.:2.708  
##  Median :-1.4919            Median :1.1473   Median :2.890  
##  Mean   :-1.4902            Mean   :1.1356   Mean   :2.900  
##  3rd Qu.:-1.2379            3rd Qu.:1.5149   3rd Qu.:3.135  
##  Max.   :-0.5978            Max.   :2.7081   Max.   :3.497  
##  Trefoil_Factor_3_TFF3     VCAM_1           VEGF        Vitronectin      
##  Min.   :-4.906        Min.   :2.028   Min.   :12.23   Min.   :-1.07881  
##  1st Qu.:-4.200        1st Qu.:2.420   1st Qu.:15.03   1st Qu.:-0.46204  
##  Median :-3.912        Median :2.674   Median :17.08   Median :-0.28106  
##  Mean   :-3.947        Mean   :2.644   Mean   :16.70   Mean   :-0.26833  
##  3rd Qu.:-3.772        3rd Qu.:2.833   3rd Qu.:18.19   3rd Qu.:-0.05394  
##  Max.   :-3.170        Max.   :3.466   Max.   :21.18   Max.   : 0.40547  
##  von_Willebrand_Factor      Class          E4              E3       
##  Min.   :-4.920        Impaired:18   Min.   :1.000   Min.   :1.000  
##  1st Qu.:-4.269        Control :48   1st Qu.:1.000   1st Qu.:2.000  
##  Median :-4.017                      Median :1.000   Median :2.000  
##  Mean   :-4.014                      Mean   :1.303   Mean   :1.985  
##  3rd Qu.:-3.730                      3rd Qu.:2.000   3rd Qu.:2.000  
##  Max.   :-3.058                      Max.   :2.000   Max.   :2.000  
##        E2       
##  Min.   :1.000  
##  1st Qu.:1.000  
##  Median :1.000  
##  Mean   :1.061  
##  3rd Qu.:1.000  
##  Max.   :2.000
##################################
# Creating consistent fold assignments 
# for the Cross Validation process
##################################
set.seed(12345678)
KFold_Indices <- createFolds(PMA_PreModelling_Train$Class ,
                             k = 10,
                             returnTrain=TRUE)

##################################
# Formulating a function to summarize
# model performance metrics
##################################
FiveMetricsSummary <- function(...) c(twoClassSummary(...), defaultSummary(...))

##################################
# Formulating the controls for the 
# model training process
##################################
KFold_TrainControl <- trainControl(method = "cv",
                                   summaryFunction = FiveMetricsSummary,
                                   classProbs = TRUE,
                                   index = KFold_Indices)

##################################
# Running the linear discriminant analysis model
# by setting the caret method to 'lda'
##################################
set.seed(12345678)
LDA_FULL_Tune <- caret::train(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                         y = PMA_PreModelling_Train$Class,
                         method = "lda",
                         metric = "ROC",
                         tol = 1.0e-12,
                         trControl = KFold_TrainControl)

##################################
# Reporting the cross-validation results
# for the train set
##################################
LDA_FULL_Tune
## Linear Discriminant Analysis 
## 
## 267 samples
## 127 predictors
##   2 classes: 'Impaired', 'Control' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 240, 239, 241, 240, 241, 241, ... 
## Resampling results:
## 
##   ROC        Sens       Spec       Accuracy   Kappa    
##   0.8015132  0.6428571  0.8142105  0.7675417  0.4377465
LDA_FULL_Tune$finalModel
## Call:
## lda(x, y, tol = 1e-12)
## 
## Prior probabilities of groups:
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## Group means:
##          ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon
## Impaired                       1.291830                       -1.512663
## Control                        1.330372                       -1.547922
##                AXL Adiponectin Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin
## Impaired 0.3606134   -5.062015                 1.461656           -12.54310
## Control  0.2900390   -5.252821                 1.322478           -13.24365
##          Alpha_1_Microglobulin Alpha_2_Macroglobulin Angiopoietin_2_ANG_2
## Impaired             -2.812275             -149.8084            0.7189962
## Control              -2.977260             -161.9286            0.6556583
##          Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1
## Impaired        2.358407           -1.836798         -7.489153
## Control         2.302900           -1.861029         -7.480003
##          Apolipoprotein_A2 Apolipoprotein_B Apolipoprotein_CI
## Impaired        -0.6028357        -5.290980         -1.557583
## Control         -0.6475857        -5.686514         -1.592933
##          Apolipoprotein_CIII Apolipoprotein_D Apolipoprotein_E Apolipoprotein_H
## Impaired           -2.402152         1.534726         2.774604       -0.2462583
## Control            -2.528993         1.404988         2.818067       -0.3494279
##          B_Lymphocyte_Chemoattractant_BL     BMP_6 Beta_2_Microglobulin
## Impaired                        2.191212 -1.906947            0.2010301
## Control                         1.952112 -1.913117            0.1549796
##          Betacellulin C_Reactive_Protein      CD40        CD5L Calbindin
## Impaired     51.17808          -6.014766 -1.259173  0.05894109  23.27885
## Control      50.94845          -5.820661 -1.258089 -0.09525496  22.11405
##          Calcitonin      CgA Clusterin_Apo_J Complement_3 Complement_Factor_H
## Impaired   1.676591 334.8176        2.952344    -14.85689            3.557332
## Control    1.679652 332.7262        2.855998    -15.89379            3.552854
##          Connective_Tissue_Growth_Factor Cortisol Creatine_Kinase_MB Cystatin_C
## Impaired                       0.7947004 13.42740          -1.702831   8.472553
## Control                        0.7660980 11.44124          -1.663646   8.628643
##               EGF_R   EN_RAGE    ENA_78 Eotaxin_3        FAS
## Impaired -0.6825736 -3.643713 -1.372875  64.00000 -0.3996292
## Control  -0.7083446 -3.632086 -1.372303  55.97938 -0.5778808
##          FSH_Follicle_Stimulation_Hormon Fas_Ligand Fatty_Acid_Binding_Protein
## Impaired                       -1.153392   3.240515                   1.614389
## Control                        -1.138530   2.865447                   1.254534
##          Ferritin Fetuin_A Fibrinogen GRO_alpha
## Impaired 2.931628 1.434358  -7.090535  1.399543
## Control  2.701751 1.318421  -7.456059  1.370087
##          Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha
## Impaired                         2.829613                       0.9529078
## Control                          2.769219                       0.9505496
##            HB_EGF     HCC_4 Hepatocyte_Growth_Factor_HGF    I_309     ICAM_1
## Impaired 7.177725 -3.394734                    0.2821109 3.023617 -0.5474443
## Control  6.703511 -3.539563                    0.1639794 2.933276 -0.6071264
##          IGF_BP_2    IL_11    IL_13    IL_16   IL_17E IL_1alpha      IL_3
## Impaired 5.384293 4.680067 1.283034 2.919439 4.671603 -7.477581 -3.987613
## Control  5.291718 4.741512 1.283942 2.933033 4.923843 -7.527105 -3.923848
##              IL_4      IL_5        IL_6 IL_6_Receptor     IL_7     IL_8
## Impaired 1.753057 0.1442299 -0.09617877    0.10115529 2.525637 1.713003
## Control  1.780749 0.2025861 -0.17580453    0.09257149 2.957174 1.701045
##          IP_10_Inducible_Protein_10       IgA   Insulin
## Impaired                   5.875371 -5.928985 -1.262448
## Control                    5.709495 -6.193464 -1.221804
##          Kidney_Injury_Molecule_1_KIM_1    LOX_1    Leptin Lipoprotein_a
## Impaired                      -1.179252 1.272405 -1.544007     -4.277014
## Control                       -1.186509 1.286978 -1.489273     -4.470063
##             MCP_1    MCP_2       MIF MIP_1alpha MIP_1beta    MMP_2     MMP_3
## Impaired 6.548438 2.104018 -1.724998   4.281621  2.877145 2.781498 -2.324019
## Control  6.477030 1.780639 -1.916871   3.961372  2.790792 2.910655 -2.491243
##              MMP10      MMP7 Myoglobin NT_proBNP    NrCAM Osteopontin
## Impaired -3.404275 -3.156452 -1.246804  4.720840 4.330498    5.313664
## Control  -3.721335 -4.027631 -1.412393  4.488264 4.373735    5.162882
##                PAI_1    PAPP_A     PLGF      PYY Pancreatic_polypeptide
## Impaired 0.275440319 -2.843776 4.012400 3.033706              0.3059723
## Control  0.002927648 -2.857862 3.874869 3.008467             -0.1333379
##           Prolactin Prostatic_Acid_Phosphatase Protein_S
## Impaired 0.07862477                  -1.673206 -2.161885
## Control  0.03227524                  -1.689756 -2.268898
##          Pulmonary_and_Activation_Regulat    RANTES  Resistin    S100b
## Impaired                        -1.368849 -6.453900 -15.66720 1.339447
## Control                         -1.532822 -6.532627 -18.38319 1.217084
##                SGOT      SHBG      SOD Serum_Amyloid_P Sortilin
## Impaired -0.3863058 -2.373962 5.389265       -5.975203 4.101578
## Control  -0.4130533 -2.515326 5.316217       -6.032948 3.757482
##          Stem_Cell_Factor TGF_alpha   TIMP_1    TNF_RII   TRAIL_R3
## Impaired         3.289750  9.950444 12.17891 -0.4725251 -0.4163806
## Control          3.305627  9.744131 11.58805 -0.6396312 -0.5856845
##          TTR_prealbumin Tamm_Horsfall_Protein_THP Thrombomodulin Thrombopoietin
## Impaired       2.845662                 -3.113195      -1.448956     -0.8002665
## Control        2.857278                 -3.116753      -1.526102     -0.7368538
##          Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
## Impaired                        4.152730                   -4.494425
## Control                         3.733299                   -4.500959
##          Thyroxine_Binding_Globulin Tissue_Factor Transferrin
## Impaired                  -1.413281      1.185679    2.920215
## Control                   -1.503474      1.164395    2.904860
##          Trefoil_Factor_3_TFF3   VCAM_1     VEGF Vitronectin
## Impaired             -3.841630 2.750947 16.49858  -0.2877221
## Control              -3.889182 2.663773 17.17183  -0.2836034
##          von_Willebrand_Factor       E4       E3       E2
## Impaired             -3.848044 1.589041 1.890411 1.082192
## Control              -3.927726 1.329897 1.927835 1.190722
## 
## Coefficients of linear discriminants:
##                                            LD1
## ACE_CD143_Angiotensin_Converti     0.569504941
## ACTH_Adrenocorticotropic_Hormon   -0.895338194
## AXL                               -0.821182573
## Adiponectin                       -0.135161947
## Alpha_1_Antichymotrypsin          -0.041071635
## Alpha_1_Antitrypsin               -0.059362982
## Alpha_1_Microglobulin             -0.786319216
## Alpha_2_Macroglobulin              0.012875285
## Angiopoietin_2_ANG_2              -0.797385222
## Angiotensinogen                   -0.296477791
## Apolipoprotein_A_IV                0.226600353
## Apolipoprotein_A1                  2.489443027
## Apolipoprotein_A2                  0.596888238
## Apolipoprotein_B                  -0.076453360
## Apolipoprotein_CI                 -1.119275874
## Apolipoprotein_CIII               -0.629834266
## Apolipoprotein_D                  -0.052057126
## Apolipoprotein_E                   0.569408798
## Apolipoprotein_H                  -0.102695136
## B_Lymphocyte_Chemoattractant_BL    0.318850160
## BMP_6                             -0.212091110
## Beta_2_Microglobulin               1.498295786
## Betacellulin                      -0.028149817
## C_Reactive_Protein                -0.228407589
## CD40                              -0.972360146
## CD5L                              -0.039003898
## Calbindin                          0.004420323
## Calcitonin                         0.200564040
## CgA                               -0.002357913
## Clusterin_Apo_J                   -3.921135761
## Complement_3                      -0.131845987
## Complement_Factor_H                0.187804895
## Connective_Tissue_Growth_Factor   -2.065196644
## Cortisol                          -0.102529183
## Creatine_Kinase_MB                -0.987522965
## Cystatin_C                         1.821906379
## EGF_R                              0.985441261
## EN_RAGE                           -0.088123902
## ENA_78                            18.288727363
## Eotaxin_3                         -0.012987019
## FAS                               -0.553120590
## FSH_Follicle_Stimulation_Hormon    0.187421956
## Fas_Ligand                        -0.022180189
## Fatty_Acid_Binding_Protein        -0.714514954
## Ferritin                          -0.332781446
## Fetuin_A                          -1.495223078
## Fibrinogen                        -0.372424062
## GRO_alpha                         -3.624048833
## Gamma_Interferon_induced_Monokin   2.828644960
## Glutathione_S_Transferase_alpha   -0.214189905
## HB_EGF                             0.019575787
## HCC_4                              0.109076895
## Hepatocyte_Growth_Factor_HGF      -1.870434054
## I_309                              1.431656002
## ICAM_1                             0.122494244
## IGF_BP_2                           0.550693401
## IL_11                              0.288369179
## IL_13                            -14.463595889
## IL_16                              0.614118828
## IL_17E                            -0.019224225
## IL_1alpha                         -0.002997531
## IL_3                              -0.430747600
## IL_4                              -0.230035338
## IL_5                               0.332906195
## IL_6                               0.167908082
## IL_6_Receptor                      0.136225541
## IL_7                               0.159315144
## IL_8                               1.388397550
## IP_10_Inducible_Protein_10        -0.026249724
## IgA                                0.260463630
## Insulin                           -0.506328776
## Kidney_Injury_Molecule_1_KIM_1    10.757005612
## LOX_1                              1.050265777
## Leptin                             0.759660525
## Lipoprotein_a                     -0.046808860
## MCP_1                             -0.236939879
## MCP_2                             -0.323106590
## MIF                                0.102910171
## MIP_1alpha                        -0.048747819
## MIP_1beta                         -0.234755079
## MMP_2                             -0.296947941
## MMP_3                             -0.314383059
## MMP10                             -0.871312465
## MMP7                              -0.001813268
## Myoglobin                          0.371661604
## NT_proBNP                         -1.025594984
## NrCAM                              1.863397920
## Osteopontin                       -0.240002679
## PAI_1                             -1.168572932
## PAPP_A                            -1.466741892
## PLGF                               0.086854139
## PYY                               -0.783593964
## Pancreatic_polypeptide            -0.172598415
## Prolactin                         -0.675392299
## Prostatic_Acid_Phosphatase        -2.017922226
## Protein_S                          2.074044988
## Pulmonary_and_Activation_Regulat  -0.463430382
## RANTES                             1.787930693
## Resistin                          -0.041841639
## S100b                              0.840086713
## SGOT                              -0.175139101
## SHBG                               0.100971900
## SOD                               -2.830930524
## Serum_Amyloid_P                    0.279417654
## Sortilin                          -0.001487249
## Stem_Cell_Factor                   0.688548628
## TGF_alpha                         -0.422316280
## TIMP_1                             0.013526273
## TNF_RII                           -2.577558465
## TRAIL_R3                          -0.802371183
## TTR_prealbumin                     0.343654701
## Tamm_Horsfall_Protein_THP          0.463766273
## Thrombomodulin                     1.153883219
## Thrombopoietin                    -1.543486362
## Thymus_Expressed_Chemokine_TECK    0.137644167
## Thyroid_Stimulating_Hormone        0.133797927
## Thyroxine_Binding_Globulin        -0.493144003
## Tissue_Factor                     -0.601270799
## Transferrin                        0.207970519
## Trefoil_Factor_3_TFF3              0.697235040
## VCAM_1                             0.391948501
## VEGF                               0.502708648
## Vitronectin                        0.441995676
## von_Willebrand_Factor              0.769056331
## E4                                 0.263306628
## E3                                -0.165457885
## E2                                 0.052923879
LDA_FULL_Tune$results
##   parameter       ROC      Sens      Spec  Accuracy     Kappa      ROCSD
## 1      none 0.8015132 0.6428571 0.8142105 0.7675417 0.4377465 0.07919456
##      SensSD     SpecSD AccuracySD   KappaSD
## 1 0.1295925 0.05582698 0.05778037 0.1370938
(LDA_FULL_Train_ROCCurveAUC <- LDA_FULL_Tune$results[,c("ROC")])
## [1] 0.8015132
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
LDA_FULL_Test <- data.frame(LDA_FULL_Observed = PMA_PreModelling_Test$Class,
                      LDA_FULL_Predicted = predict(LDA_FULL_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

LDA_FULL_Test
##     LDA_FULL_Observed LDA_FULL_Predicted.Impaired LDA_FULL_Predicted.Control
## 4             Control                1.115188e-07               9.999999e-01
## 10           Impaired                9.446884e-01               5.531164e-02
## 13           Impaired                9.925311e-01               7.468899e-03
## 15            Control                9.992251e-01               7.749114e-04
## 27           Impaired                5.512246e-05               9.999449e-01
## 32           Impaired                4.617539e-06               9.999954e-01
## 33           Impaired                9.411419e-01               5.885810e-02
## 49            Control                8.648376e-01               1.351624e-01
## 52           Impaired                9.958021e-01               4.197856e-03
## 54            Control                5.902365e-06               9.999941e-01
## 58            Control                9.848061e-01               1.519394e-02
## 66            Control                2.370176e-05               9.999763e-01
## 79            Control                2.092124e-02               9.790788e-01
## 87           Impaired                3.059326e-01               6.940674e-01
## 89            Control                1.160301e-06               9.999988e-01
## 91            Control                3.039371e-05               9.999696e-01
## 92            Control                2.745206e-07               9.999997e-01
## 101          Impaired                9.995848e-01               4.152456e-04
## 102           Control                2.164290e-02               9.783571e-01
## 106           Control                3.206117e-01               6.793883e-01
## 116           Control                2.932336e-04               9.997068e-01
## 119           Control                7.240512e-05               9.999276e-01
## 120           Control                2.708068e-05               9.999729e-01
## 122           Control                5.018456e-01               4.981544e-01
## 125           Control                1.998018e-07               9.999998e-01
## 127           Control                6.405847e-01               3.594153e-01
## 138           Control                5.829975e-02               9.417003e-01
## 142           Control                1.250754e-04               9.998749e-01
## 150           Control                9.510174e-01               4.898257e-02
## 151           Control                3.843154e-01               6.156846e-01
## 164          Impaired                9.720494e-01               2.795064e-02
## 173           Control                3.533742e-10               1.000000e+00
## 187           Control                1.854421e-05               9.999815e-01
## 188           Control                4.733517e-08               1.000000e+00
## 196           Control                9.478031e-01               5.219687e-02
## 199           Control                9.999460e-01               5.396145e-05
## 203           Control                1.189281e-03               9.988107e-01
## 204           Control                1.494876e-01               8.505124e-01
## 206          Impaired                2.790816e-01               7.209184e-01
## 207           Control                3.354308e-05               9.999665e-01
## 209           Control                1.448305e-04               9.998552e-01
## 211           Control                6.499581e-02               9.350042e-01
## 217           Control                7.327663e-03               9.926723e-01
## 221          Impaired                9.999553e-01               4.466843e-05
## 222           Control                6.822444e-04               9.993178e-01
## 235           Control                2.957589e-06               9.999970e-01
## 238           Control                8.218203e-07               9.999992e-01
## 248          Impaired                9.850530e-01               1.494700e-02
## 252           Control                2.435743e-07               9.999998e-01
## 259          Impaired                9.906212e-01               9.378836e-03
## 266           Control                5.448494e-01               4.551506e-01
## 276          Impaired                9.999980e-01               1.986574e-06
## 280          Impaired                9.977961e-01               2.203863e-03
## 284           Control                1.249461e-04               9.998751e-01
## 285           Control                4.255363e-06               9.999957e-01
## 286           Control                1.331698e-03               9.986683e-01
## 288           Control                9.036852e-02               9.096315e-01
## 293          Impaired                2.379851e-06               9.999976e-01
## 295           Control                2.887960e-03               9.971120e-01
## 296          Impaired                5.657341e-04               9.994343e-01
## 300           Control                1.035466e-02               9.896453e-01
## 309           Control                1.056108e-05               9.999894e-01
## 310          Impaired                7.026670e-03               9.929733e-01
## 318           Control                3.405594e-04               9.996594e-01
## 319           Control                2.573231e-03               9.974268e-01
## 328           Control                3.452238e-05               9.999655e-01
##################################
# Reporting the independent evaluation results
# for the test set
##################################
LDA_FULL_Test_ROC <- roc(response = LDA_FULL_Test$LDA_FULL_Observed,
                        predictor = LDA_FULL_Test$LDA_FULL_Predicted.Impaired,
                        levels = rev(levels(LDA_FULL_Test$LDA_FULL_Observed)))

(LDA_FULL_Test_ROCCurveAUC <- auc(LDA_FULL_Test_ROC)[1])
## [1] 0.7719907

1.5.2 Linear Discriminant Analysis With UF Using No P-Value Adjustment and With Correlated Predictors (LDA_UF_NAC)


Linear Discriminant Analysis finds a linear combination of features that best separates the classes in a data set by projecting the data onto a lower-dimensional space that maximizes the separation between the classes. The algorithm searches for a set of linear discriminants that maximize the ratio of between-class variance to within-class variance by evaluating directions in the feature space that best separate the different classes of data. LDA assumes that the data has a Gaussian distribution and that the covariance matrices of the different classes are equal, in addition to the data being linearly separable by the presence of a linear decision boundary can accurately classify the different classes.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The linear discriminant analysis model from the MASS package was implemented with univariate filters using no adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model does not contain any hyperparameter.

[C] Univariate filtering was applied with results as follows:
     [C.1] 58 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 54 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=47 to 62
     [D.2] AUROC = 0.84378

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.88310

Code Chunk | Output
##################################
# Creating a function to calculates p-values
# using either a t-test for predictors with 
# more than 2 distinct values
# using Fisher's Exact Test otherwise
##################################
PScore <- function(x, y){
    numX <- length(unique(x))
    if(numX > 2)
      {
       out <- t.test(x ~ y)$p.value
      } else {
       out <- fisher.test(factor(x), y)$p.value
      }
    out
}

LDAPValue <- ldaSBF
LDAPValue$score <- PScore
LDAPValue$summary <- FiveMetricsSummary

##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
LDAPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = LDAPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the linear discriminant analysis model
# by setting the caret method to 'lda'
# with implementation of univariate filter
##################################
set.seed(12345678)
LDA_UF_NAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              tol = 1.0e-12,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
LDA_UF_NAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy  Kappa   ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.8438 0.6875 0.8863   0.8322 0.5724 0.09385 0.2098 0.06751    0.09003  0.2379
## 
## Using the training set, 58 variables were selected:
##    Adiponectin, Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin...
## 
## During resampling, the top 5 selected variables (out of a possible 70):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), Apolipoprotein_D (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%)
## 
## On average, 53.8 variables were selected (min = 47, max = 62)
LDA_UF_NAC_Tune$fit
## Call:
## lda(x, y, metric = "ROC", tol = 1e-12)
## 
## Prior probabilities of groups:
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## Group means:
##          Adiponectin Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin
## Impaired   -5.062015                 1.461656           -12.54310
## Control    -5.252821                 1.322478           -13.24365
##          Alpha_1_Microglobulin Alpha_2_Macroglobulin Apolipoprotein_CIII
## Impaired             -2.812275             -149.8084           -2.402152
## Control              -2.977260             -161.9286           -2.528993
##          Apolipoprotein_D B_Lymphocyte_Chemoattractant_BL        CD5L
## Impaired         1.534726                        2.191212  0.05894109
## Control          1.404988                        1.952112 -0.09525496
##          Clusterin_Apo_J Complement_3 Cortisol Creatine_Kinase_MB Cystatin_C
## Impaired        2.952344    -14.85689 13.42740          -1.702831   8.472553
## Control         2.855998    -15.89379 11.44124          -1.663646   8.628643
##          Eotaxin_3        FAS Fas_Ligand Fatty_Acid_Binding_Protein Ferritin
## Impaired  64.00000 -0.3996292   3.240515                   1.614389 2.931628
## Control   55.97938 -0.5778808   2.865447                   1.254534 2.701751
##          Fetuin_A Fibrinogen GRO_alpha Gamma_Interferon_induced_Monokin
## Impaired 1.434358  -7.090535  1.399543                         2.829613
## Control  1.318421  -7.456059  1.370087                         2.769219
##            HB_EGF     HCC_4 Hepatocyte_Growth_Factor_HGF IGF_BP_2     IL_7
## Impaired 7.177725 -3.394734                    0.2821109 5.384293 2.525637
## Control  6.703511 -3.539563                    0.1639794 5.291718 2.957174
##              IL_8 IP_10_Inducible_Protein_10       IgA
## Impaired 1.713003                   5.875371 -5.928985
## Control  1.701045                   5.709495 -6.193464
##          Kidney_Injury_Molecule_1_KIM_1    MCP_1    MCP_2       MIF MIP_1alpha
## Impaired                      -1.179252 6.548438 2.104018 -1.724998   4.281621
## Control                       -1.186509 6.477030 1.780639 -1.916871   3.961372
##              MMP_3     MMP10      MMP7 NT_proBNP Osteopontin       PAI_1
## Impaired -2.324019 -3.404275 -3.156452  4.720840    5.313664 0.275440319
## Control  -2.491243 -3.721335 -4.027631  4.488264    5.162882 0.002927648
##              PLGF Pancreatic_polypeptide Protein_S
## Impaired 4.012400              0.3059723 -2.161885
## Control  3.874869             -0.1333379 -2.268898
##          Pulmonary_and_Activation_Regulat  Resistin    S100b Sortilin   TIMP_1
## Impaired                        -1.368849 -15.66720 1.339447 4.101578 12.17891
## Control                         -1.532822 -18.38319 1.217084 3.757482 11.58805
##             TNF_RII   TRAIL_R3 Thrombomodulin Thrombopoietin
## Impaired -0.4725251 -0.4163806      -1.448956     -0.8002665
## Control  -0.6396312 -0.5856845      -1.526102     -0.7368538
##          Thymus_Expressed_Chemokine_TECK     VEGF       E4       E2
## Impaired                        4.152730 16.49858 1.589041 1.082192
## Control                         3.733299 17.17183 1.329897 1.190722
## 
## Coefficients of linear discriminants:
##                                           LD1
## Adiponectin                      -0.073528571
## Alpha_1_Antichymotrypsin          0.381624358
## Alpha_1_Antitrypsin              -0.014419718
## Alpha_1_Microglobulin            -0.054772260
## Alpha_2_Macroglobulin             0.010490195
## Apolipoprotein_CIII               0.320122181
## Apolipoprotein_D                 -0.099970203
## B_Lymphocyte_Chemoattractant_BL  -0.008963257
## CD5L                             -0.185114328
## Clusterin_Apo_J                  -2.348523160
## Complement_3                     -0.038353434
## Cortisol                         -0.052728302
## Creatine_Kinase_MB               -0.874353940
## Cystatin_C                        1.894691351
## Eotaxin_3                        -0.003436646
## FAS                              -0.193740953
## Fas_Ligand                       -0.016442674
## Fatty_Acid_Binding_Protein       -0.403152180
## Ferritin                         -0.104889584
## Fetuin_A                         -0.293074243
## Fibrinogen                       -0.468305505
## GRO_alpha                        -2.368325964
## Gamma_Interferon_induced_Monokin  1.046916133
## HB_EGF                            0.043693654
## HCC_4                             0.099706789
## Hepatocyte_Growth_Factor_HGF     -0.268823568
## IGF_BP_2                          0.467048736
## IL_7                              0.288486619
## IL_8                              1.871185816
## IP_10_Inducible_Protein_10        0.455482212
## IgA                               0.106940569
## Kidney_Injury_Molecule_1_KIM_1    1.464309206
## MCP_1                            -0.120411483
## MCP_2                            -0.301549980
## MIF                              -0.818896808
## MIP_1alpha                        0.010456397
## MMP_3                             0.026927305
## MMP10                            -0.768721552
## MMP7                             -0.061564757
## NT_proBNP                        -0.988338192
## Osteopontin                      -0.611929826
## PAI_1                            -0.511206681
## PLGF                              0.252474260
## Pancreatic_polypeptide           -0.256356400
## Protein_S                         0.775491794
## Pulmonary_and_Activation_Regulat -0.355232091
## Resistin                          0.005140687
## S100b                             0.313321189
## Sortilin                          0.015714544
## TIMP_1                           -0.062767864
## TNF_RII                          -1.057542786
## TRAIL_R3                         -0.066414400
## Thrombomodulin                    0.949362760
## Thrombopoietin                   -0.487045988
## Thymus_Expressed_Chemokine_TECK  -0.041700440
## VEGF                              0.450193382
## E4                               -0.176910277
## E2                                0.114097118
LDA_UF_NAC_Tune$results
##         ROC   Sens      Spec  Accuracy     Kappa      ROCSD    SensSD
## 1 0.8437876 0.6875 0.8863158 0.8321836 0.5724272 0.09385114 0.2098162
##       SpecSD AccuracySD   KappaSD
## 1 0.06751309 0.09002819 0.2378941
(LDA_UF_NAC_Train_ROCCurveAUC <- LDA_UF_NAC_Tune$results[LDA_UF_NAC_Tune$results$ROC==max(LDA_UF_NAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.8437876
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
LDA_UF_NAC_Test <- data.frame(LDA_UF_NAC_Observed = PMA_PreModelling_Test$Class,
                              LDA_UF_NAC_Predicted = predict(LDA_UF_NAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

LDA_UF_NAC_Test
##     LDA_UF_NAC_Observed LDA_UF_NAC_Predicted.pred LDA_UF_NAC_Predicted.Impaired
## 4               Control                   Control                  0.0006522881
## 10             Impaired                  Impaired                  0.9591497844
## 13             Impaired                  Impaired                  0.8372011429
## 15              Control                   Control                  0.4627109225
## 27             Impaired                   Control                  0.1086352047
## 32             Impaired                   Control                  0.1001518906
## 33             Impaired                  Impaired                  0.8424848922
## 49              Control                   Control                  0.0251573283
## 52             Impaired                  Impaired                  0.9922713809
## 54              Control                   Control                  0.0087780855
## 58              Control                   Control                  0.4634717546
## 66              Control                   Control                  0.0078371207
## 79              Control                  Impaired                  0.7153299046
## 87             Impaired                   Control                  0.3067335458
## 89              Control                   Control                  0.0108400835
## 91              Control                   Control                  0.0081432890
## 92              Control                   Control                  0.0023962184
## 101            Impaired                  Impaired                  0.9924507420
## 102             Control                   Control                  0.1202435843
## 106             Control                   Control                  0.0575684985
## 116             Control                   Control                  0.0006672259
## 119             Control                   Control                  0.0158827633
## 120             Control                   Control                  0.0009713804
## 122             Control                   Control                  0.0225007009
## 125             Control                   Control                  0.0001427507
## 127             Control                   Control                  0.0126609661
## 138             Control                   Control                  0.0062380568
## 142             Control                   Control                  0.0004110653
## 150             Control                   Control                  0.0609702215
## 151             Control                   Control                  0.0062632096
## 164            Impaired                  Impaired                  0.5085661513
## 173             Control                   Control                  0.0026471671
## 187             Control                   Control                  0.0450989950
## 188             Control                   Control                  0.0025853613
## 196             Control                  Impaired                  0.9163633038
## 199             Control                  Impaired                  0.9632251154
## 203             Control                   Control                  0.1022973250
## 204             Control                   Control                  0.3028832734
## 206            Impaired                   Control                  0.0257717848
## 207             Control                   Control                  0.0005317309
## 209             Control                   Control                  0.0075382480
## 211             Control                   Control                  0.0362529152
## 217             Control                   Control                  0.0120085687
## 221            Impaired                  Impaired                  0.9925499230
## 222             Control                   Control                  0.0158453535
## 235             Control                   Control                  0.0006852444
## 238             Control                   Control                  0.0007569447
## 248            Impaired                   Control                  0.1830044859
## 252             Control                   Control                  0.0045644605
## 259            Impaired                  Impaired                  0.5308010057
## 266             Control                   Control                  0.1406212907
## 276            Impaired                  Impaired                  0.9480779764
## 280            Impaired                  Impaired                  0.8941318756
## 284             Control                   Control                  0.0055873658
## 285             Control                   Control                  0.0011038014
## 286             Control                   Control                  0.0013042131
## 288             Control                   Control                  0.0098438789
## 293            Impaired                   Control                  0.0016033687
## 295             Control                   Control                  0.0028796624
## 296            Impaired                  Impaired                  0.9853440568
## 300             Control                   Control                  0.4768646955
## 309             Control                   Control                  0.0117005122
## 310            Impaired                  Impaired                  0.7339660458
## 318             Control                   Control                  0.0112970319
## 319             Control                   Control                  0.0459833476
## 328             Control                   Control                  0.0050473197
##     LDA_UF_NAC_Predicted.Control
## 4                    0.999347712
## 10                   0.040850216
## 13                   0.162798857
## 15                   0.537289078
## 27                   0.891364795
## 32                   0.899848109
## 33                   0.157515108
## 49                   0.974842672
## 52                   0.007728619
## 54                   0.991221914
## 58                   0.536528245
## 66                   0.992162879
## 79                   0.284670095
## 87                   0.693266454
## 89                   0.989159916
## 91                   0.991856711
## 92                   0.997603782
## 101                  0.007549258
## 102                  0.879756416
## 106                  0.942431501
## 116                  0.999332774
## 119                  0.984117237
## 120                  0.999028620
## 122                  0.977499299
## 125                  0.999857249
## 127                  0.987339034
## 138                  0.993761943
## 142                  0.999588935
## 150                  0.939029778
## 151                  0.993736790
## 164                  0.491433849
## 173                  0.997352833
## 187                  0.954901005
## 188                  0.997414639
## 196                  0.083636696
## 199                  0.036774885
## 203                  0.897702675
## 204                  0.697116727
## 206                  0.974228215
## 207                  0.999468269
## 209                  0.992461752
## 211                  0.963747085
## 217                  0.987991431
## 221                  0.007450077
## 222                  0.984154647
## 235                  0.999314756
## 238                  0.999243055
## 248                  0.816995514
## 252                  0.995435540
## 259                  0.469198994
## 266                  0.859378709
## 276                  0.051922024
## 280                  0.105868124
## 284                  0.994412634
## 285                  0.998896199
## 286                  0.998695787
## 288                  0.990156121
## 293                  0.998396631
## 295                  0.997120338
## 296                  0.014655943
## 300                  0.523135304
## 309                  0.988299488
## 310                  0.266033954
## 318                  0.988702968
## 319                  0.954016652
## 328                  0.994952680
##################################
# Reporting the independent evaluation results
# for the test set
##################################
LDA_UF_NAC_Test_ROC <- roc(response = LDA_UF_NAC_Test$LDA_UF_NAC_Observed,
                           predictor = LDA_UF_NAC_Test$LDA_UF_NAC_Predicted.Impaired,
                           levels = rev(levels(LDA_UF_NAC_Test$LDA_UF_NAC_Observed)))

(LDA_UF_NAC_Test_ROCCurveAUC <- auc(LDA_UF_NAC_Test_ROC)[1])
## [1] 0.8831019

1.5.3 Linear Discriminant Analysis With UF Using Bonferroni-Adjusted P-Values and With Correlated Predictors (LDA_UF_BAC)


Linear Discriminant Analysis finds a linear combination of features that best separates the classes in a data set by projecting the data onto a lower-dimensional space that maximizes the separation between the classes. The algorithm searches for a set of linear discriminants that maximize the ratio of between-class variance to within-class variance by evaluating directions in the feature space that best separate the different classes of data. LDA assumes that the data has a Gaussian distribution and that the covariance matrices of the different classes are equal, in addition to the data being linearly separable by the presence of a linear decision boundary can accurately classify the different classes.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The linear discriminant analysis model from the MASS package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model does not contain any hyperparameter.

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.75914

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.80324

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with bonferroni-adjusted 
# p-values greater than 0.05
##################################
LDAPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = LDAPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the linear discriminant analysis model
# by setting the caret method to 'lda'
# with implementation of univariate filter
##################################
set.seed(12345678)
LDA_UF_BAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              tol = 1.0e-12,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
LDA_UF_BAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy  Kappa   ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.7591 0.4161 0.9074   0.7727 0.3648 0.09258 0.1525 0.09137    0.08698  0.2027
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
LDA_UF_BAC_Tune$fit
## Call:
## lda(x, y, metric = "ROC", tol = 1e-12)
## 
## Prior probabilities of groups:
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## Group means:
##          Eotaxin_3        FAS Fibrinogen GRO_alpha
## Impaired  64.00000 -0.3996292  -7.090535  1.399543
## Control   55.97938 -0.5778808  -7.456059  1.370087
##          Gamma_Interferon_induced_Monokin       MIF     MMP10      MMP7
## Impaired                         2.829613 -1.724998 -3.404275 -3.156452
## Control                          2.769219 -1.916871 -3.721335 -4.027631
##          NT_proBNP       PAI_1 Pancreatic_polypeptide    TNF_RII   TRAIL_R3
## Impaired  4.720840 0.275440319              0.3059723 -0.4725251 -0.4163806
## Control   4.488264 0.002927648             -0.1333379 -0.6396312 -0.5856845
##          Thymus_Expressed_Chemokine_TECK       E4
## Impaired                        4.152730 1.589041
## Control                         3.733299 1.329897
## 
## Coefficients of linear discriminants:
##                                           LD1
## Eotaxin_3                        -0.002856648
## FAS                              -0.427075394
## Fibrinogen                       -0.381287485
## GRO_alpha                        -5.683202139
## Gamma_Interferon_induced_Monokin  0.170311400
## MIF                              -0.650424236
## MMP10                            -0.501003350
## MMP7                             -0.057934643
## NT_proBNP                        -0.700887579
## PAI_1                            -0.535052979
## Pancreatic_polypeptide           -0.329776700
## TNF_RII                           1.407174966
## TRAIL_R3                         -1.105566651
## Thymus_Expressed_Chemokine_TECK   0.048529006
## E4                               -0.806473501
LDA_UF_BAC_Tune$results
##       ROC      Sens      Spec  Accuracy     Kappa      ROCSD   SensSD
## 1 0.75914 0.4160714 0.9073684 0.7727411 0.3647802 0.09257837 0.152467
##       SpecSD AccuracySD   KappaSD
## 1 0.09136966 0.08698244 0.2026887
(LDA_UF_BAC_Train_ROCCurveAUC <- LDA_UF_BAC_Tune$results[LDA_UF_BAC_Tune$results$ROC==max(LDA_UF_BAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.75914
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
LDA_UF_BAC_Test <- data.frame(LDA_UF_BAC_Observed = PMA_PreModelling_Test$Class,
                              LDA_UF_BAC_Predicted = predict(LDA_UF_BAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

LDA_UF_BAC_Test
##     LDA_UF_BAC_Observed LDA_UF_BAC_Predicted.pred LDA_UF_BAC_Predicted.Impaired
## 4               Control                   Control                    0.07788486
## 10             Impaired                   Control                    0.41127964
## 13             Impaired                   Control                    0.31362644
## 15              Control                   Control                    0.12333866
## 27             Impaired                   Control                    0.29582352
## 32             Impaired                   Control                    0.02502590
## 33             Impaired                   Control                    0.28140369
## 49              Control                   Control                    0.05094594
## 52             Impaired                  Impaired                    0.61140654
## 54              Control                   Control                    0.03311221
## 58              Control                  Impaired                    0.51958524
## 66              Control                   Control                    0.09540975
## 79              Control                   Control                    0.34825961
## 87             Impaired                   Control                    0.18338948
## 89              Control                   Control                    0.25474821
## 91              Control                   Control                    0.31061924
## 92              Control                   Control                    0.15156327
## 101            Impaired                  Impaired                    0.69497788
## 102             Control                   Control                    0.04450172
## 106             Control                   Control                    0.18364911
## 116             Control                   Control                    0.01162595
## 119             Control                   Control                    0.08759736
## 120             Control                   Control                    0.05537919
## 122             Control                   Control                    0.08923826
## 125             Control                   Control                    0.08472013
## 127             Control                   Control                    0.25227070
## 138             Control                   Control                    0.23467816
## 142             Control                   Control                    0.18394571
## 150             Control                   Control                    0.14639893
## 151             Control                   Control                    0.07375445
## 164            Impaired                   Control                    0.04227856
## 173             Control                   Control                    0.07864193
## 187             Control                   Control                    0.09694244
## 188             Control                   Control                    0.04585394
## 196             Control                   Control                    0.26327367
## 199             Control                   Control                    0.04814994
## 203             Control                   Control                    0.04859583
## 204             Control                   Control                    0.31455220
## 206            Impaired                  Impaired                    0.69838534
## 207             Control                   Control                    0.04292528
## 209             Control                   Control                    0.03601537
## 211             Control                   Control                    0.14083872
## 217             Control                   Control                    0.41947754
## 221            Impaired                  Impaired                    0.71463667
## 222             Control                   Control                    0.15782531
## 235             Control                   Control                    0.03616233
## 238             Control                   Control                    0.06027615
## 248            Impaired                   Control                    0.24387123
## 252             Control                   Control                    0.02097974
## 259            Impaired                   Control                    0.20511688
## 266             Control                   Control                    0.22245221
## 276            Impaired                  Impaired                    0.70588335
## 280            Impaired                   Control                    0.26719111
## 284             Control                   Control                    0.31313163
## 285             Control                   Control                    0.02344650
## 286             Control                   Control                    0.06988371
## 288             Control                   Control                    0.31764746
## 293            Impaired                   Control                    0.20662338
## 295             Control                   Control                    0.10201222
## 296            Impaired                  Impaired                    0.76221767
## 300             Control                   Control                    0.24110766
## 309             Control                   Control                    0.08312896
## 310            Impaired                  Impaired                    0.68483618
## 318             Control                   Control                    0.01787791
## 319             Control                   Control                    0.36700056
## 328             Control                   Control                    0.01626071
##     LDA_UF_BAC_Predicted.Control
## 4                      0.9221151
## 10                     0.5887204
## 13                     0.6863736
## 15                     0.8766613
## 27                     0.7041765
## 32                     0.9749741
## 33                     0.7185963
## 49                     0.9490541
## 52                     0.3885935
## 54                     0.9668878
## 58                     0.4804148
## 66                     0.9045903
## 79                     0.6517404
## 87                     0.8166105
## 89                     0.7452518
## 91                     0.6893808
## 92                     0.8484367
## 101                    0.3050221
## 102                    0.9554983
## 106                    0.8163509
## 116                    0.9883741
## 119                    0.9124026
## 120                    0.9446208
## 122                    0.9107617
## 125                    0.9152799
## 127                    0.7477293
## 138                    0.7653218
## 142                    0.8160543
## 150                    0.8536011
## 151                    0.9262455
## 164                    0.9577214
## 173                    0.9213581
## 187                    0.9030576
## 188                    0.9541461
## 196                    0.7367263
## 199                    0.9518501
## 203                    0.9514042
## 204                    0.6854478
## 206                    0.3016147
## 207                    0.9570747
## 209                    0.9639846
## 211                    0.8591613
## 217                    0.5805225
## 221                    0.2853633
## 222                    0.8421747
## 235                    0.9638377
## 238                    0.9397238
## 248                    0.7561288
## 252                    0.9790203
## 259                    0.7948831
## 266                    0.7775478
## 276                    0.2941167
## 280                    0.7328089
## 284                    0.6868684
## 285                    0.9765535
## 286                    0.9301163
## 288                    0.6823525
## 293                    0.7933766
## 295                    0.8979878
## 296                    0.2377823
## 300                    0.7588923
## 309                    0.9168710
## 310                    0.3151638
## 318                    0.9821221
## 319                    0.6329994
## 328                    0.9837393
##################################
# Reporting the independent evaluation results
# for the test set
##################################
LDA_UF_BAC_Test_ROC <- roc(response = LDA_UF_BAC_Test$LDA_UF_BAC_Observed,
                           predictor = LDA_UF_BAC_Test$LDA_UF_BAC_Predicted.Impaired,
                           levels = rev(levels(LDA_UF_BAC_Test$LDA_UF_BAC_Observed)))

(LDA_UF_BAC_Test_ROCCurveAUC <- auc(LDA_UF_BAC_Test_ROC)[1])
## [1] 0.8032407

1.5.4 Linear Discriminant Analysis With UF Using No P-Value Adjustment and No Correlated Predictors (LDA_UF_NANC)


Linear Discriminant Analysis finds a linear combination of features that best separates the classes in a data set by projecting the data onto a lower-dimensional space that maximizes the separation between the classes. The algorithm searches for a set of linear discriminants that maximize the ratio of between-class variance to within-class variance by evaluating directions in the feature space that best separate the different classes of data. LDA assumes that the data has a Gaussian distribution and that the covariance matrices of the different classes are equal, in addition to the data being linearly separable by the presence of a linear decision boundary can accurately classify the different classes.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The linear discriminant analysis model from the MASS package was implemented with univariate filters using no adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model does not contain any hyperparameter.

[C] Univariate filtering was applied with results as follows:
     [C.1] 54 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 52 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=45 to 59
     [D.2] AUROC = 0.84130

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.88657

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
LDAPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = LDAPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the linear discriminant analysis model
# by setting the caret method to 'lda'
# with implementation of univariate filter
##################################
set.seed(12345678)
LDA_UF_NANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              tol = 1.0e-12,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
LDA_UF_NANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy  Kappa   ROCSD SensSD SpecSD AccuracySD KappaSD
##  0.8413 0.6464 0.8758   0.8134 0.5252 0.09262  0.207  0.078    0.09831  0.2535
## 
## Using the training set, 54 variables were selected:
##    Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin, Apolipoprotein_CIII...
## 
## During resampling, the top 5 selected variables (out of a possible 68):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%), Cortisol (100%)
## 
## On average, 51.7 variables were selected (min = 45, max = 59)
LDA_UF_NANC_Tune$fit
## Call:
## lda(x, y, metric = "ROC", tol = 1e-12)
## 
## Prior probabilities of groups:
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## Group means:
##          Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin Alpha_1_Microglobulin
## Impaired                 1.461656           -12.54310             -2.812275
## Control                  1.322478           -13.24365             -2.977260
##          Alpha_2_Macroglobulin Apolipoprotein_CIII Apolipoprotein_D
## Impaired             -149.8084           -2.402152         1.534726
## Control              -161.9286           -2.528993         1.404988
##          B_Lymphocyte_Chemoattractant_BL        CD5L Clusterin_Apo_J
## Impaired                        2.191212  0.05894109        2.952344
## Control                         1.952112 -0.09525496        2.855998
##          Complement_3 Cortisol Creatine_Kinase_MB Cystatin_C Eotaxin_3
## Impaired    -14.85689 13.42740          -1.702831   8.472553  64.00000
## Control     -15.89379 11.44124          -1.663646   8.628643  55.97938
##                 FAS Fas_Ligand Fatty_Acid_Binding_Protein Fetuin_A Fibrinogen
## Impaired -0.3996292   3.240515                   1.614389 1.434358  -7.090535
## Control  -0.5778808   2.865447                   1.254534 1.318421  -7.456059
##          GRO_alpha Gamma_Interferon_induced_Monokin     HCC_4
## Impaired  1.399543                         2.829613 -3.394734
## Control   1.370087                         2.769219 -3.539563
##          Hepatocyte_Growth_Factor_HGF     IL_7     IL_8
## Impaired                    0.2821109 2.525637 1.713003
## Control                     0.1639794 2.957174 1.701045
##          IP_10_Inducible_Protein_10       IgA Kidney_Injury_Molecule_1_KIM_1
## Impaired                   5.875371 -5.928985                      -1.179252
## Control                    5.709495 -6.193464                      -1.186509
##             MCP_1    MCP_2       MIF MIP_1alpha     MMP_3     MMP10      MMP7
## Impaired 6.548438 2.104018 -1.724998   4.281621 -2.324019 -3.404275 -3.156452
## Control  6.477030 1.780639 -1.916871   3.961372 -2.491243 -3.721335 -4.027631
##          NT_proBNP Osteopontin       PAI_1     PLGF Pancreatic_polypeptide
## Impaired  4.720840    5.313664 0.275440319 4.012400              0.3059723
## Control   4.488264    5.162882 0.002927648 3.874869             -0.1333379
##          Protein_S Pulmonary_and_Activation_Regulat  Resistin    S100b Sortilin
## Impaired -2.161885                        -1.368849 -15.66720 1.339447 4.101578
## Control  -2.268898                        -1.532822 -18.38319 1.217084 3.757482
##            TIMP_1    TNF_RII   TRAIL_R3 Thrombomodulin Thrombopoietin
## Impaired 12.17891 -0.4725251 -0.4163806      -1.448956     -0.8002665
## Control  11.58805 -0.6396312 -0.5856845      -1.526102     -0.7368538
##          Thymus_Expressed_Chemokine_TECK     VEGF       E4       E2
## Impaired                        4.152730 16.49858 1.589041 1.082192
## Control                         3.733299 17.17183 1.329897 1.190722
## 
## Coefficients of linear discriminants:
##                                           LD1
## Alpha_1_Antichymotrypsin          0.352593731
## Alpha_1_Antitrypsin              -0.016848143
## Alpha_1_Microglobulin            -0.086766762
## Alpha_2_Macroglobulin             0.010354907
## Apolipoprotein_CIII               0.301264160
## Apolipoprotein_D                 -0.089587235
## B_Lymphocyte_Chemoattractant_BL   0.019729526
## CD5L                             -0.182392021
## Clusterin_Apo_J                  -2.191634492
## Complement_3                     -0.039213418
## Cortisol                         -0.051355984
## Creatine_Kinase_MB               -0.798024967
## Cystatin_C                        1.918648104
## Eotaxin_3                        -0.002580958
## FAS                              -0.089171893
## Fas_Ligand                       -0.021274740
## Fatty_Acid_Binding_Protein       -0.382348419
## Fetuin_A                         -0.359963456
## Fibrinogen                       -0.471560008
## GRO_alpha                        -1.983474466
## Gamma_Interferon_induced_Monokin  0.816575717
## HCC_4                             0.073538189
## Hepatocyte_Growth_Factor_HGF     -0.311238151
## IL_7                              0.289749292
## IL_8                              1.278816680
## IP_10_Inducible_Protein_10        0.495047238
## IgA                               0.123841929
## Kidney_Injury_Molecule_1_KIM_1    2.824930521
## MCP_1                            -0.160780535
## MCP_2                            -0.294950649
## MIF                              -0.836382184
## MIP_1alpha                       -0.005561057
## MMP_3                             0.007582216
## MMP10                            -0.757440320
## MMP7                             -0.059287482
## NT_proBNP                        -0.920371907
## Osteopontin                      -0.621238881
## PAI_1                            -0.483395378
## PLGF                              0.303715538
## Pancreatic_polypeptide           -0.279557160
## Protein_S                         0.876305867
## Pulmonary_and_Activation_Regulat -0.360122006
## Resistin                          0.005126399
## S100b                             0.263567430
## Sortilin                         -0.028516963
## TIMP_1                           -0.052283408
## TNF_RII                          -1.003001600
## TRAIL_R3                         -0.105091944
## Thrombomodulin                    0.845481955
## Thrombopoietin                   -0.512832855
## Thymus_Expressed_Chemokine_TECK  -0.039099944
## VEGF                              0.450337257
## E4                               -0.173666727
## E2                                0.099469823
LDA_UF_NANC_Tune$results
##        ROC      Sens      Spec Accuracy     Kappa      ROCSD    SensSD
## 1 0.841297 0.6464286 0.8757895  0.81337 0.5252198 0.09261974 0.2070197
##       SpecSD AccuracySD   KappaSD
## 1 0.07800411 0.09831166 0.2535278
(LDA_UF_NANC_Train_ROCCurveAUC <- LDA_UF_NANC_Tune$results[LDA_UF_NANC_Tune$results$ROC==max(LDA_UF_NANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.841297
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
LDA_UF_NANC_Test <- data.frame(LDA_UF_NANC_Observed = PMA_PreModelling_Test$Class,
                              LDA_UF_NANC_Predicted = predict(LDA_UF_NANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

LDA_UF_NANC_Test
##     LDA_UF_NANC_Observed LDA_UF_NANC_Predicted.pred
## 4                Control                    Control
## 10              Impaired                   Impaired
## 13              Impaired                   Impaired
## 15               Control                    Control
## 27              Impaired                    Control
## 32              Impaired                    Control
## 33              Impaired                   Impaired
## 49               Control                    Control
## 52              Impaired                   Impaired
## 54               Control                    Control
## 58               Control                    Control
## 66               Control                    Control
## 79               Control                   Impaired
## 87              Impaired                    Control
## 89               Control                    Control
## 91               Control                    Control
## 92               Control                    Control
## 101             Impaired                   Impaired
## 102              Control                    Control
## 106              Control                    Control
## 116              Control                    Control
## 119              Control                    Control
## 120              Control                    Control
## 122              Control                    Control
## 125              Control                    Control
## 127              Control                    Control
## 138              Control                    Control
## 142              Control                    Control
## 150              Control                    Control
## 151              Control                    Control
## 164             Impaired                   Impaired
## 173              Control                    Control
## 187              Control                    Control
## 188              Control                    Control
## 196              Control                   Impaired
## 199              Control                   Impaired
## 203              Control                    Control
## 204              Control                    Control
## 206             Impaired                    Control
## 207              Control                    Control
## 209              Control                    Control
## 211              Control                    Control
## 217              Control                    Control
## 221             Impaired                   Impaired
## 222              Control                    Control
## 235              Control                    Control
## 238              Control                    Control
## 248             Impaired                    Control
## 252              Control                    Control
## 259             Impaired                   Impaired
## 266              Control                    Control
## 276             Impaired                   Impaired
## 280             Impaired                   Impaired
## 284              Control                    Control
## 285              Control                    Control
## 286              Control                    Control
## 288              Control                    Control
## 293             Impaired                    Control
## 295              Control                    Control
## 296             Impaired                   Impaired
## 300              Control                    Control
## 309              Control                    Control
## 310             Impaired                   Impaired
## 318              Control                    Control
## 319              Control                    Control
## 328              Control                    Control
##     LDA_UF_NANC_Predicted.Impaired LDA_UF_NANC_Predicted.Control
## 4                     0.0008741472                   0.999125853
## 10                    0.9662291561                   0.033770844
## 13                    0.8753049269                   0.124695073
## 15                    0.3308189414                   0.669181059
## 27                    0.1246613979                   0.875338602
## 32                    0.0698521388                   0.930147861
## 33                    0.8444919997                   0.155508000
## 49                    0.0254368540                   0.974563146
## 52                    0.9895827194                   0.010417281
## 54                    0.0090202822                   0.990979718
## 58                    0.4618282818                   0.538171718
## 66                    0.0056697738                   0.994330226
## 79                    0.7163850913                   0.283614909
## 87                    0.4817628779                   0.518237122
## 89                    0.0109984826                   0.989001517
## 91                    0.0092727674                   0.990727233
## 92                    0.0018564606                   0.998143539
## 101                   0.9904020254                   0.009597975
## 102                   0.1034881458                   0.896511854
## 106                   0.0647980585                   0.935201941
## 116                   0.0006112431                   0.999388757
## 119                   0.0144642775                   0.985535723
## 120                   0.0010472798                   0.998952720
## 122                   0.0193627116                   0.980637288
## 125                   0.0002135866                   0.999786413
## 127                   0.0109191322                   0.989080868
## 138                   0.0058517089                   0.994148291
## 142                   0.0006008659                   0.999399134
## 150                   0.0454619334                   0.954538067
## 151                   0.0067390231                   0.993260977
## 164                   0.5530526527                   0.446947347
## 173                   0.0025491862                   0.997450814
## 187                   0.0463654104                   0.953634590
## 188                   0.0022746198                   0.997725380
## 196                   0.9100242544                   0.089975746
## 199                   0.9806222771                   0.019377723
## 203                   0.1371241327                   0.862875867
## 204                   0.2482515361                   0.751748464
## 206                   0.0400181608                   0.959981839
## 207                   0.0006946209                   0.999305379
## 209                   0.0056871574                   0.994312843
## 211                   0.0336010900                   0.966398910
## 217                   0.0126018058                   0.987398194
## 221                   0.9935396504                   0.006460350
## 222                   0.0130080530                   0.986991947
## 235                   0.0008015515                   0.999198448
## 238                   0.0008067426                   0.999193257
## 248                   0.2351165284                   0.764883472
## 252                   0.0042565647                   0.995743435
## 259                   0.5235382823                   0.476461718
## 266                   0.1241506341                   0.875849366
## 276                   0.9530819189                   0.046918081
## 280                   0.8870871195                   0.112912881
## 284                   0.0060344875                   0.993965513
## 285                   0.0010854643                   0.998914536
## 286                   0.0016642360                   0.998335764
## 288                   0.0108261297                   0.989173870
## 293                   0.0018044593                   0.998195541
## 295                   0.0028742718                   0.997125728
## 296                   0.9630571139                   0.036942886
## 300                   0.3541025367                   0.645897463
## 309                   0.0145731520                   0.985426848
## 310                   0.7027817222                   0.297218278
## 318                   0.0126250966                   0.987374903
## 319                   0.0601462909                   0.939853709
## 328                   0.0032709475                   0.996729052
##################################
# Reporting the independent evaluation results
# for the test set
##################################
LDA_UF_NANC_Test_ROC <- roc(response = LDA_UF_NANC_Test$LDA_UF_NANC_Observed,
                           predictor = LDA_UF_NANC_Test$LDA_UF_NANC_Predicted.Impaired,
                           levels = rev(levels(LDA_UF_NANC_Test$LDA_UF_NANC_Observed)))

(LDA_UF_NANC_Test_ROCCurveAUC <- auc(LDA_UF_NANC_Test_ROC)[1])
## [1] 0.8865741

1.5.5 Linear Discriminant Analysis With UF Using Bonferroni-Adjusted P-Values and No Correlated Predictors (LDA_UF_BANC)


Linear Discriminant Analysis finds a linear combination of features that best separates the classes in a data set by projecting the data onto a lower-dimensional space that maximizes the separation between the classes. The algorithm searches for a set of linear discriminants that maximize the ratio of between-class variance to within-class variance by evaluating directions in the feature space that best separate the different classes of data. LDA assumes that the data has a Gaussian distribution and that the covariance matrices of the different classes are equal, in addition to the data being linearly separable by the presence of a linear decision boundary can accurately classify the different classes.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The linear discriminant analysis model from the MASS package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model does not contain any hyperparameter.

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.75914

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.80324

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
LDAPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = LDAPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the linear discriminant analysis model
# by setting the caret method to 'lda'
# with implementation of univariate filter
##################################
set.seed(12345678)
LDA_UF_BANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              tol = 1.0e-12,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
LDA_UF_BANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy  Kappa   ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.7591 0.4161 0.9074   0.7727 0.3648 0.09258 0.1525 0.09137    0.08698  0.2027
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
LDA_UF_BANC_Tune$fit
## Call:
## lda(x, y, metric = "ROC", tol = 1e-12)
## 
## Prior probabilities of groups:
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## Group means:
##          Eotaxin_3        FAS Fibrinogen GRO_alpha
## Impaired  64.00000 -0.3996292  -7.090535  1.399543
## Control   55.97938 -0.5778808  -7.456059  1.370087
##          Gamma_Interferon_induced_Monokin       MIF     MMP10      MMP7
## Impaired                         2.829613 -1.724998 -3.404275 -3.156452
## Control                          2.769219 -1.916871 -3.721335 -4.027631
##          NT_proBNP       PAI_1 Pancreatic_polypeptide    TNF_RII   TRAIL_R3
## Impaired  4.720840 0.275440319              0.3059723 -0.4725251 -0.4163806
## Control   4.488264 0.002927648             -0.1333379 -0.6396312 -0.5856845
##          Thymus_Expressed_Chemokine_TECK       E4
## Impaired                        4.152730 1.589041
## Control                         3.733299 1.329897
## 
## Coefficients of linear discriminants:
##                                           LD1
## Eotaxin_3                        -0.002856648
## FAS                              -0.427075394
## Fibrinogen                       -0.381287485
## GRO_alpha                        -5.683202139
## Gamma_Interferon_induced_Monokin  0.170311400
## MIF                              -0.650424236
## MMP10                            -0.501003350
## MMP7                             -0.057934643
## NT_proBNP                        -0.700887579
## PAI_1                            -0.535052979
## Pancreatic_polypeptide           -0.329776700
## TNF_RII                           1.407174966
## TRAIL_R3                         -1.105566651
## Thymus_Expressed_Chemokine_TECK   0.048529006
## E4                               -0.806473501
LDA_UF_BANC_Tune$results
##       ROC      Sens      Spec  Accuracy     Kappa      ROCSD   SensSD
## 1 0.75914 0.4160714 0.9073684 0.7727411 0.3647802 0.09257837 0.152467
##       SpecSD AccuracySD   KappaSD
## 1 0.09136966 0.08698244 0.2026887
(LDA_UF_BANC_Train_ROCCurveAUC <- LDA_UF_BANC_Tune$results[LDA_UF_BANC_Tune$results$ROC==max(LDA_UF_BANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.75914
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
LDA_UF_BANC_Test <- data.frame(LDA_UF_BANC_Observed = PMA_PreModelling_Test$Class,
                              LDA_UF_BANC_Predicted = predict(LDA_UF_BANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

LDA_UF_BANC_Test
##     LDA_UF_BANC_Observed LDA_UF_BANC_Predicted.pred
## 4                Control                    Control
## 10              Impaired                    Control
## 13              Impaired                    Control
## 15               Control                    Control
## 27              Impaired                    Control
## 32              Impaired                    Control
## 33              Impaired                    Control
## 49               Control                    Control
## 52              Impaired                   Impaired
## 54               Control                    Control
## 58               Control                   Impaired
## 66               Control                    Control
## 79               Control                    Control
## 87              Impaired                    Control
## 89               Control                    Control
## 91               Control                    Control
## 92               Control                    Control
## 101             Impaired                   Impaired
## 102              Control                    Control
## 106              Control                    Control
## 116              Control                    Control
## 119              Control                    Control
## 120              Control                    Control
## 122              Control                    Control
## 125              Control                    Control
## 127              Control                    Control
## 138              Control                    Control
## 142              Control                    Control
## 150              Control                    Control
## 151              Control                    Control
## 164             Impaired                    Control
## 173              Control                    Control
## 187              Control                    Control
## 188              Control                    Control
## 196              Control                    Control
## 199              Control                    Control
## 203              Control                    Control
## 204              Control                    Control
## 206             Impaired                   Impaired
## 207              Control                    Control
## 209              Control                    Control
## 211              Control                    Control
## 217              Control                    Control
## 221             Impaired                   Impaired
## 222              Control                    Control
## 235              Control                    Control
## 238              Control                    Control
## 248             Impaired                    Control
## 252              Control                    Control
## 259             Impaired                    Control
## 266              Control                    Control
## 276             Impaired                   Impaired
## 280             Impaired                    Control
## 284              Control                    Control
## 285              Control                    Control
## 286              Control                    Control
## 288              Control                    Control
## 293             Impaired                    Control
## 295              Control                    Control
## 296             Impaired                   Impaired
## 300              Control                    Control
## 309              Control                    Control
## 310             Impaired                   Impaired
## 318              Control                    Control
## 319              Control                    Control
## 328              Control                    Control
##     LDA_UF_BANC_Predicted.Impaired LDA_UF_BANC_Predicted.Control
## 4                       0.07788486                     0.9221151
## 10                      0.41127964                     0.5887204
## 13                      0.31362644                     0.6863736
## 15                      0.12333866                     0.8766613
## 27                      0.29582352                     0.7041765
## 32                      0.02502590                     0.9749741
## 33                      0.28140369                     0.7185963
## 49                      0.05094594                     0.9490541
## 52                      0.61140654                     0.3885935
## 54                      0.03311221                     0.9668878
## 58                      0.51958524                     0.4804148
## 66                      0.09540975                     0.9045903
## 79                      0.34825961                     0.6517404
## 87                      0.18338948                     0.8166105
## 89                      0.25474821                     0.7452518
## 91                      0.31061924                     0.6893808
## 92                      0.15156327                     0.8484367
## 101                     0.69497788                     0.3050221
## 102                     0.04450172                     0.9554983
## 106                     0.18364911                     0.8163509
## 116                     0.01162595                     0.9883741
## 119                     0.08759736                     0.9124026
## 120                     0.05537919                     0.9446208
## 122                     0.08923826                     0.9107617
## 125                     0.08472013                     0.9152799
## 127                     0.25227070                     0.7477293
## 138                     0.23467816                     0.7653218
## 142                     0.18394571                     0.8160543
## 150                     0.14639893                     0.8536011
## 151                     0.07375445                     0.9262455
## 164                     0.04227856                     0.9577214
## 173                     0.07864193                     0.9213581
## 187                     0.09694244                     0.9030576
## 188                     0.04585394                     0.9541461
## 196                     0.26327367                     0.7367263
## 199                     0.04814994                     0.9518501
## 203                     0.04859583                     0.9514042
## 204                     0.31455220                     0.6854478
## 206                     0.69838534                     0.3016147
## 207                     0.04292528                     0.9570747
## 209                     0.03601537                     0.9639846
## 211                     0.14083872                     0.8591613
## 217                     0.41947754                     0.5805225
## 221                     0.71463667                     0.2853633
## 222                     0.15782531                     0.8421747
## 235                     0.03616233                     0.9638377
## 238                     0.06027615                     0.9397238
## 248                     0.24387123                     0.7561288
## 252                     0.02097974                     0.9790203
## 259                     0.20511688                     0.7948831
## 266                     0.22245221                     0.7775478
## 276                     0.70588335                     0.2941167
## 280                     0.26719111                     0.7328089
## 284                     0.31313163                     0.6868684
## 285                     0.02344650                     0.9765535
## 286                     0.06988371                     0.9301163
## 288                     0.31764746                     0.6823525
## 293                     0.20662338                     0.7933766
## 295                     0.10201222                     0.8979878
## 296                     0.76221767                     0.2377823
## 300                     0.24110766                     0.7588923
## 309                     0.08312896                     0.9168710
## 310                     0.68483618                     0.3151638
## 318                     0.01787791                     0.9821221
## 319                     0.36700056                     0.6329994
## 328                     0.01626071                     0.9837393
##################################
# Reporting the independent evaluation results
# for the test set
##################################
LDA_UF_BANC_Test_ROC <- roc(response = LDA_UF_BANC_Test$LDA_UF_BANC_Observed,
                           predictor = LDA_UF_BANC_Test$LDA_UF_BANC_Predicted.Impaired,
                           levels = rev(levels(LDA_UF_BANC_Test$LDA_UF_BANC_Observed)))

(LDA_UF_BANC_Test_ROCCurveAUC <- auc(LDA_UF_BANC_Test_ROC)[1])
## [1] 0.8032407

1.5.6 Random Forest Without UF (RF_FULL)


Random Forest is an ensemble learning method made up of a large set of small decision trees called estimators, with each producing its own prediction. The random forest model aggregates the predictions of the estimators to produce a more accurate prediction. The algorithm involves bootstrap aggregating (where smaller subsets of the training data are repeatedly subsampled with replacement), random subspacing (where a subset of features are sampled and used to train each individual estimator), estimator training (where unpruned decision trees are formulated for each estimator) and inference by aggregating the predictions of all estimators.

[A] The random forest model from the randomForest package was implemented without recursive feature elimination through the caret package.

[B] The model contains 1 hyperparameter:
     [B.1] mtry = number of randomly selected predictors held constant at a value of 11

[C] The cross-validated model performance of the final model is summarized as follows:
     [C.1] Final model configuration involves mtry=11
     [C.2] AUROC = 0.78268

[D] The model allows for ranking of predictors in terms of variable importance. The top-performing predictors in the model are as follows:
     [D.1] MMP10 variable (numeric)
     [D.2] Crystatin_C variable (numeric)
     [D.3] MMP7 variable (numeric)
     [D.4] TRAIL_R3 variable (numeric)
     [D.5] Pancreatic_polypeptide variable (numeric)

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.79803

Code Chunk | Output
##################################
# Running the random forest model
# by setting the caret method to 'rf'
##################################
set.seed(12345678)
RF_FULL_Tune <- caret::train(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                        y = PMA_PreModelling_Train$Class,
                        method = "rf",
                        metric = "ROC",
                        tuneGrid = data.frame(mtry = floor(sqrt(length(names(PMA_PreModelling_Train) %in% c("Class"))))),
                        ntree = 100,
                        trControl = KFold_TrainControl)

##################################
# Reporting the cross-validation results
# for the train set
##################################
RF_FULL_Tune
## Random Forest 
## 
## 267 samples
## 127 predictors
##   2 classes: 'Impaired', 'Control' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 240, 239, 241, 240, 241, 241, ... 
## Resampling results:
## 
##   ROC        Sens       Spec       Accuracy   Kappa    
##   0.7826833  0.3035714  0.9589474  0.7797517  0.3094392
## 
## Tuning parameter 'mtry' was held constant at a value of 11
RF_FULL_Tune$finalModel
## 
## Call:
##  randomForest(x = x, y = y, ntree = 100, mtry = param$mtry) 
##                Type of random forest: classification
##                      Number of trees: 100
## No. of variables tried at each split: 11
## 
##         OOB estimate of  error rate: 23.22%
## Confusion matrix:
##          Impaired Control class.error
## Impaired       22      51  0.69863014
## Control        11     183  0.05670103
RF_FULL_Tune$results
##   mtry       ROC      Sens      Spec  Accuracy     Kappa     ROCSD   SensSD
## 1   11 0.7826833 0.3035714 0.9589474 0.7797517 0.3094392 0.1152203 0.191404
##       SpecSD AccuracySD  KappaSD
## 1 0.03201935 0.06273494 0.225028
(RF_FULL_Train_ROCCurveAUC <- RF_FULL_Tune$results[,c("ROC")])
## [1] 0.7826833
##################################
# Identifying and plotting the
# best model predictors
##################################
RF_FULL_VarImp <- varImp(RF_FULL_Tune, scale = TRUE)
plot(RF_FULL_VarImp,
     top=25,
     scales=list(y=list(cex = .95)),
     main="Ranked Variable Importance : Random Forest",
     xlab="Scaled Variable Importance Metrics",
     ylab="Predictors",
     cex=2,
     origin=0,
     alpha=0.45)

##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
RF_FULL_Test <- data.frame(RF_FULL_Observed = PMA_PreModelling_Test$Class,
                      RF_FULL_Predicted = predict(RF_FULL_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

RF_FULL_Test
##     RF_FULL_Observed RF_FULL_Predicted.Impaired RF_FULL_Predicted.Control
## 4            Control                       0.11                      0.89
## 10          Impaired                       0.43                      0.57
## 13          Impaired                       0.29                      0.71
## 15           Control                       0.20                      0.80
## 27          Impaired                       0.09                      0.91
## 32          Impaired                       0.10                      0.90
## 33          Impaired                       0.28                      0.72
## 49           Control                       0.06                      0.94
## 52          Impaired                       0.65                      0.35
## 54           Control                       0.16                      0.84
## 58           Control                       0.46                      0.54
## 66           Control                       0.08                      0.92
## 79           Control                       0.24                      0.76
## 87          Impaired                       0.37                      0.63
## 89           Control                       0.32                      0.68
## 91           Control                       0.31                      0.69
## 92           Control                       0.14                      0.86
## 101         Impaired                       0.58                      0.42
## 102          Control                       0.10                      0.90
## 106          Control                       0.18                      0.82
## 116          Control                       0.38                      0.62
## 119          Control                       0.15                      0.85
## 120          Control                       0.09                      0.91
## 122          Control                       0.15                      0.85
## 125          Control                       0.06                      0.94
## 127          Control                       0.22                      0.78
## 138          Control                       0.36                      0.64
## 142          Control                       0.35                      0.65
## 150          Control                       0.29                      0.71
## 151          Control                       0.16                      0.84
## 164         Impaired                       0.33                      0.67
## 173          Control                       0.07                      0.93
## 187          Control                       0.18                      0.82
## 188          Control                       0.14                      0.86
## 196          Control                       0.38                      0.62
## 199          Control                       0.31                      0.69
## 203          Control                       0.35                      0.65
## 204          Control                       0.46                      0.54
## 206         Impaired                       0.40                      0.60
## 207          Control                       0.11                      0.89
## 209          Control                       0.14                      0.86
## 211          Control                       0.05                      0.95
## 217          Control                       0.28                      0.72
## 221         Impaired                       0.60                      0.40
## 222          Control                       0.17                      0.83
## 235          Control                       0.08                      0.92
## 238          Control                       0.10                      0.90
## 248         Impaired                       0.32                      0.68
## 252          Control                       0.18                      0.82
## 259         Impaired                       0.29                      0.71
## 266          Control                       0.19                      0.81
## 276         Impaired                       0.57                      0.43
## 280         Impaired                       0.37                      0.63
## 284          Control                       0.23                      0.77
## 285          Control                       0.08                      0.92
## 286          Control                       0.16                      0.84
## 288          Control                       0.15                      0.85
## 293         Impaired                       0.21                      0.79
## 295          Control                       0.18                      0.82
## 296         Impaired                       0.49                      0.51
## 300          Control                       0.40                      0.60
## 309          Control                       0.09                      0.91
## 310         Impaired                       0.36                      0.64
## 318          Control                       0.40                      0.60
## 319          Control                       0.26                      0.74
## 328          Control                       0.08                      0.92
##################################
# Reporting the independent evaluation results
# for the test set
##################################
RF_FULL_Test_ROC <- roc(response = RF_FULL_Test$RF_FULL_Observed,
                        predictor = RF_FULL_Test$RF_FULL_Predicted.Impaired,
                        levels = rev(levels(RF_FULL_Test$RF_FULL_Observed)))

(RF_FULL_Test_ROCCurveAUC <- auc(RF_FULL_Test_ROC)[1])
## [1] 0.7980324

1.5.7 Random Forest With UF Using No P-Value Adjustment and With Correlated Predictors (RF_UF_NAC)


Random Forest is an ensemble learning method made up of a large set of small decision trees called estimators, with each producing its own prediction. The random forest model aggregates the predictions of the estimators to produce a more accurate prediction. The algorithm involves bootstrap aggregating (where smaller subsets of the training data are repeatedly subsampled with replacement), random subspacing (where a subset of features are sampled and used to train each individual estimator), estimator training (where unpruned decision trees are formulated for each estimator) and inference by aggregating the predictions of all estimators.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The random forest model from the MASS package was implemented with univariate filters using no adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model contains 1 hyperparameter:
     [B.1] mtry = number of randomly selected predictors held constant at a value of 7

[C] Univariate filtering was applied with results as follows:
     [C.1] 58 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 54 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=47 to 62
     [D.2] AUROC = 0.81563

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.81944

Code Chunk | Output
##################################
# Creating a function to calculates p-values
# using either a t-test for predictors with 
# more than 2 distinct values
# using Fisher's Exact Test otherwise
##################################
PScore <- function(x, y){
    numX <- length(unique(x))
    if(numX > 2)
      {
       out <- t.test(x ~ y)$p.value
      } else {
       out <- fisher.test(factor(x), y)$p.value
      }
    out
}

RFPValue <- rfSBF
RFPValue$score <- PScore
RFPValue$summary <- FiveMetricsSummary

##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
RFPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = RFPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the random forest model
# by setting the caret method to 'rf'
# with implementation of univariate filter
##################################
set.seed(12345678)
RF_UF_NAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              ntree = 100,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
RF_UF_NAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC  Sens   Spec Accuracy  Kappa  ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.8156 0.375 0.9482   0.7913 0.3617 0.1356 0.2428 0.04229    0.06305  0.2365
## 
## Using the training set, 58 variables were selected:
##    Adiponectin, Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin...
## 
## During resampling, the top 5 selected variables (out of a possible 70):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), Apolipoprotein_D (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%)
## 
## On average, 53.8 variables were selected (min = 47, max = 62)
RF_UF_NAC_Tune$fit
## 
## Call:
##  randomForest(x = x, y = y, ntree = 100, metric = "ROC") 
##                Type of random forest: classification
##                      Number of trees: 100
## No. of variables tried at each split: 7
## 
##         OOB estimate of  error rate: 23.22%
## Confusion matrix:
##          Impaired Control class.error
## Impaired       24      49  0.67123288
## Control        13     181  0.06701031
RF_UF_NAC_Tune$results
##        ROC  Sens      Spec Accuracy     Kappa     ROCSD    SensSD     SpecSD
## 1 0.815632 0.375 0.9481579  0.79128 0.3617147 0.1355572 0.2428105 0.04228853
##   AccuracySD  KappaSD
## 1  0.0630468 0.236478
(RF_UF_NAC_Train_ROCCurveAUC <- RF_UF_NAC_Tune$results[RF_UF_NAC_Tune$results$ROC==max(RF_UF_NAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.815632
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
RF_UF_NAC_Test <- data.frame(RF_UF_NAC_Observed = PMA_PreModelling_Test$Class,
                              RF_UF_NAC_Predicted = predict(RF_UF_NAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

RF_UF_NAC_Test
##     RF_UF_NAC_Observed RF_UF_NAC_Predicted.pred RF_UF_NAC_Predicted.Impaired
## 4              Control                  Control                         0.15
## 10            Impaired                  Control                         0.46
## 13            Impaired                  Control                         0.29
## 15             Control                  Control                         0.19
## 27            Impaired                  Control                         0.10
## 32            Impaired                  Control                         0.21
## 33            Impaired                  Control                         0.21
## 49             Control                  Control                         0.11
## 52            Impaired                 Impaired                         0.78
## 54             Control                  Control                         0.21
## 58             Control                  Control                         0.39
## 66             Control                  Control                         0.18
## 79             Control                  Control                         0.11
## 87            Impaired                  Control                         0.29
## 89             Control                  Control                         0.29
## 91             Control                  Control                         0.40
## 92             Control                  Control                         0.09
## 101           Impaired                 Impaired                         0.65
## 102            Control                  Control                         0.14
## 106            Control                  Control                         0.13
## 116            Control                  Control                         0.29
## 119            Control                  Control                         0.17
## 120            Control                  Control                         0.13
## 122            Control                  Control                         0.18
## 125            Control                  Control                         0.07
## 127            Control                  Control                         0.20
## 138            Control                  Control                         0.40
## 142            Control                  Control                         0.38
## 150            Control                  Control                         0.32
## 151            Control                  Control                         0.16
## 164           Impaired                  Control                         0.32
## 173            Control                  Control                         0.03
## 187            Control                  Control                         0.15
## 188            Control                  Control                         0.27
## 196            Control                  Control                         0.41
## 199            Control                  Control                         0.24
## 203            Control                  Control                         0.19
## 204            Control                  Control                         0.41
## 206           Impaired                  Control                         0.48
## 207            Control                  Control                         0.08
## 209            Control                  Control                         0.14
## 211            Control                  Control                         0.06
## 217            Control                  Control                         0.26
## 221           Impaired                 Impaired                         0.58
## 222            Control                  Control                         0.14
## 235            Control                  Control                         0.16
## 238            Control                  Control                         0.11
## 248           Impaired                  Control                         0.23
## 252            Control                  Control                         0.13
## 259           Impaired                  Control                         0.28
## 266            Control                  Control                         0.20
## 276           Impaired                 Impaired                         0.64
## 280           Impaired                  Control                         0.28
## 284            Control                  Control                         0.19
## 285            Control                  Control                         0.07
## 286            Control                  Control                         0.04
## 288            Control                  Control                         0.17
## 293           Impaired                  Control                         0.25
## 295            Control                  Control                         0.12
## 296           Impaired                 Impaired                         0.64
## 300            Control                 Impaired                         0.54
## 309            Control                  Control                         0.10
## 310           Impaired                  Control                         0.31
## 318            Control                  Control                         0.28
## 319            Control                  Control                         0.26
## 328            Control                  Control                         0.09
##     RF_UF_NAC_Predicted.Control
## 4                          0.85
## 10                         0.54
## 13                         0.71
## 15                         0.81
## 27                         0.90
## 32                         0.79
## 33                         0.79
## 49                         0.89
## 52                         0.22
## 54                         0.79
## 58                         0.61
## 66                         0.82
## 79                         0.89
## 87                         0.71
## 89                         0.71
## 91                         0.60
## 92                         0.91
## 101                        0.35
## 102                        0.86
## 106                        0.87
## 116                        0.71
## 119                        0.83
## 120                        0.87
## 122                        0.82
## 125                        0.93
## 127                        0.80
## 138                        0.60
## 142                        0.62
## 150                        0.68
## 151                        0.84
## 164                        0.68
## 173                        0.97
## 187                        0.85
## 188                        0.73
## 196                        0.59
## 199                        0.76
## 203                        0.81
## 204                        0.59
## 206                        0.52
## 207                        0.92
## 209                        0.86
## 211                        0.94
## 217                        0.74
## 221                        0.42
## 222                        0.86
## 235                        0.84
## 238                        0.89
## 248                        0.77
## 252                        0.87
## 259                        0.72
## 266                        0.80
## 276                        0.36
## 280                        0.72
## 284                        0.81
## 285                        0.93
## 286                        0.96
## 288                        0.83
## 293                        0.75
## 295                        0.88
## 296                        0.36
## 300                        0.46
## 309                        0.90
## 310                        0.69
## 318                        0.72
## 319                        0.74
## 328                        0.91
##################################
# Reporting the independent evaluation results
# for the test set
##################################
RF_UF_NAC_Test_ROC <- roc(response = RF_UF_NAC_Test$RF_UF_NAC_Observed,
                           predictor = RF_UF_NAC_Test$RF_UF_NAC_Predicted.Impaired,
                           levels = rev(levels(RF_UF_NAC_Test$RF_UF_NAC_Observed)))

(RF_UF_NAC_Test_ROCCurveAUC <- auc(RF_UF_NAC_Test_ROC)[1])
## [1] 0.8194444

1.5.8 Random Forest With UF Using Bonferroni-Adjusted P-Values and With Correlated Predictors (RF_UF_BAC)


Random Forest is an ensemble learning method made up of a large set of small decision trees called estimators, with each producing its own prediction. The random forest model aggregates the predictions of the estimators to produce a more accurate prediction. The algorithm involves bootstrap aggregating (where smaller subsets of the training data are repeatedly subsampled with replacement), random subspacing (where a subset of features are sampled and used to train each individual estimator), estimator training (where unpruned decision trees are formulated for each estimator) and inference by aggregating the predictions of all estimators.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The random forest model from the MASS package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model contains 1 hyperparameter:
     [B.1] mtry = number of randomly selected predictors held constant at a value of 3

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.75888

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.75868

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with bonferroni-adjusted 
# p-values greater than 0.05
##################################
RFPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = RFPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the random forest model
# by setting the caret method to 'rf'
# with implementation of univariate filter
##################################
set.seed(12345678)
RF_UF_BAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              ntree = 100,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
RF_UF_BAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy Kappa  ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.7589 0.4018 0.9013   0.7649 0.326 0.1062 0.2408 0.08628    0.07343  0.2261
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
RF_UF_BAC_Tune$fit
## 
## Call:
##  randomForest(x = x, y = y, ntree = 100, metric = "ROC") 
##                Type of random forest: classification
##                      Number of trees: 100
## No. of variables tried at each split: 3
## 
##         OOB estimate of  error rate: 22.1%
## Confusion matrix:
##          Impaired Control class.error
## Impaired       28      45  0.61643836
## Control        14     180  0.07216495
RF_UF_BAC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa     ROCSD    SensSD
## 1 0.7588863 0.4017857 0.9013158 0.7649064 0.3260266 0.1062305 0.2407957
##       SpecSD AccuracySD   KappaSD
## 1 0.08627986  0.0734333 0.2260972
(RF_UF_BAC_Train_ROCCurveAUC <- RF_UF_BAC_Tune$results[RF_UF_BAC_Tune$results$ROC==max(RF_UF_BAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7588863
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
RF_UF_BAC_Test <- data.frame(RF_UF_BAC_Observed = PMA_PreModelling_Test$Class,
                              RF_UF_BAC_Predicted = predict(RF_UF_BAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

RF_UF_BAC_Test
##     RF_UF_BAC_Observed RF_UF_BAC_Predicted.pred RF_UF_BAC_Predicted.Impaired
## 4              Control                  Control                         0.13
## 10            Impaired                  Control                         0.47
## 13            Impaired                  Control                         0.23
## 15             Control                  Control                         0.24
## 27            Impaired                  Control                         0.08
## 32            Impaired                  Control                         0.14
## 33            Impaired                  Control                         0.25
## 49             Control                  Control                         0.00
## 52            Impaired                 Impaired                         0.79
## 54             Control                  Control                         0.25
## 58             Control                  Control                         0.49
## 66             Control                  Control                         0.22
## 79             Control                  Control                         0.32
## 87            Impaired                  Control                         0.28
## 89             Control                  Control                         0.18
## 91             Control                 Impaired                         0.58
## 92             Control                  Control                         0.12
## 101           Impaired                 Impaired                         0.78
## 102            Control                  Control                         0.10
## 106            Control                  Control                         0.10
## 116            Control                  Control                         0.27
## 119            Control                  Control                         0.19
## 120            Control                  Control                         0.24
## 122            Control                  Control                         0.10
## 125            Control                  Control                         0.16
## 127            Control                  Control                         0.35
## 138            Control                  Control                         0.30
## 142            Control                  Control                         0.37
## 150            Control                  Control                         0.25
## 151            Control                  Control                         0.17
## 164           Impaired                  Control                         0.23
## 173            Control                  Control                         0.14
## 187            Control                  Control                         0.24
## 188            Control                  Control                         0.12
## 196            Control                  Control                         0.25
## 199            Control                  Control                         0.15
## 203            Control                  Control                         0.18
## 204            Control                  Control                         0.43
## 206           Impaired                 Impaired                         0.61
## 207            Control                  Control                         0.09
## 209            Control                  Control                         0.19
## 211            Control                  Control                         0.17
## 217            Control                  Control                         0.44
## 221           Impaired                  Control                         0.46
## 222            Control                  Control                         0.17
## 235            Control                  Control                         0.06
## 238            Control                  Control                         0.09
## 248           Impaired                  Control                         0.12
## 252            Control                  Control                         0.10
## 259           Impaired                  Control                         0.41
## 266            Control                  Control                         0.31
## 276           Impaired                 Impaired                         0.64
## 280           Impaired                  Control                         0.21
## 284            Control                  Control                         0.26
## 285            Control                  Control                         0.07
## 286            Control                  Control                         0.10
## 288            Control                  Control                         0.18
## 293           Impaired                  Control                         0.49
## 295            Control                  Control                         0.12
## 296           Impaired                 Impaired                         0.73
## 300            Control                 Impaired                         0.54
## 309            Control                  Control                         0.05
## 310           Impaired                  Control                         0.39
## 318            Control                  Control                         0.07
## 319            Control                  Control                         0.33
## 328            Control                  Control                         0.08
##     RF_UF_BAC_Predicted.Control
## 4                          0.87
## 10                         0.53
## 13                         0.77
## 15                         0.76
## 27                         0.92
## 32                         0.86
## 33                         0.75
## 49                         1.00
## 52                         0.21
## 54                         0.75
## 58                         0.51
## 66                         0.78
## 79                         0.68
## 87                         0.72
## 89                         0.82
## 91                         0.42
## 92                         0.88
## 101                        0.22
## 102                        0.90
## 106                        0.90
## 116                        0.73
## 119                        0.81
## 120                        0.76
## 122                        0.90
## 125                        0.84
## 127                        0.65
## 138                        0.70
## 142                        0.63
## 150                        0.75
## 151                        0.83
## 164                        0.77
## 173                        0.86
## 187                        0.76
## 188                        0.88
## 196                        0.75
## 199                        0.85
## 203                        0.82
## 204                        0.57
## 206                        0.39
## 207                        0.91
## 209                        0.81
## 211                        0.83
## 217                        0.56
## 221                        0.54
## 222                        0.83
## 235                        0.94
## 238                        0.91
## 248                        0.88
## 252                        0.90
## 259                        0.59
## 266                        0.69
## 276                        0.36
## 280                        0.79
## 284                        0.74
## 285                        0.93
## 286                        0.90
## 288                        0.82
## 293                        0.51
## 295                        0.88
## 296                        0.27
## 300                        0.46
## 309                        0.95
## 310                        0.61
## 318                        0.93
## 319                        0.67
## 328                        0.92
##################################
# Reporting the independent evaluation results
# for the test set
##################################
RF_UF_BAC_Test_ROC <- roc(response = RF_UF_BAC_Test$RF_UF_BAC_Observed,
                           predictor = RF_UF_BAC_Test$RF_UF_BAC_Predicted.Impaired,
                           levels = rev(levels(RF_UF_BAC_Test$RF_UF_BAC_Observed)))

(RF_UF_BAC_Test_ROCCurveAUC <- auc(RF_UF_BAC_Test_ROC)[1])
## [1] 0.7586806

1.5.9 Random Forest With UF Using No P-Value Adjustment and No Correlated Predictors (RF_UF_NANC)


Random Forest is an ensemble learning method made up of a large set of small decision trees called estimators, with each producing its own prediction. The random forest model aggregates the predictions of the estimators to produce a more accurate prediction. The algorithm involves bootstrap aggregating (where smaller subsets of the training data are repeatedly subsampled with replacement), random subspacing (where a subset of features are sampled and used to train each individual estimator), estimator training (where unpruned decision trees are formulated for each estimator) and inference by aggregating the predictions of all estimators.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The random forest model from the MASS package was implemented with univariate filters using no adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model contains 1 hyperparameter:
     [B.1] mtry = number of randomly selected predictors held constant at a value of 7

[C] Univariate filtering was applied with results as follows:
     [C.1] 54 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 52 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=45 to 59
     [D.2] AUROC = 0.81301

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.82002

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
RFPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = RFPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the random forest model
# by setting the caret method to 'rf'
# with implementation of univariate filter
##################################
set.seed(12345678)
RF_UF_NANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              ntree = 100,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
RF_UF_NANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##    ROC   Sens   Spec Accuracy  Kappa  ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.813 0.3714 0.9484   0.7916 0.3607 0.1104 0.2542 0.05385    0.07824   0.264
## 
## Using the training set, 54 variables were selected:
##    Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin, Apolipoprotein_CIII...
## 
## During resampling, the top 5 selected variables (out of a possible 68):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%), Cortisol (100%)
## 
## On average, 51.7 variables were selected (min = 45, max = 59)
RF_UF_NANC_Tune$fit
## 
## Call:
##  randomForest(x = x, y = y, ntree = 100, metric = "ROC") 
##                Type of random forest: classification
##                      Number of trees: 100
## No. of variables tried at each split: 7
## 
##         OOB estimate of  error rate: 20.6%
## Confusion matrix:
##          Impaired Control class.error
## Impaired       27      46  0.63013699
## Control         9     185  0.04639175
RF_UF_NANC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa     ROCSD    SensSD
## 1 0.8130169 0.3714286 0.9484211 0.7915649 0.3606838 0.1103703 0.2541883
##      SpecSD AccuracySD   KappaSD
## 1 0.0538485 0.07823858 0.2639534
(RF_UF_NANC_Train_ROCCurveAUC <- RF_UF_NANC_Tune$results[RF_UF_NANC_Tune$results$ROC==max(RF_UF_NANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.8130169
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
RF_UF_NANC_Test <- data.frame(RF_UF_NANC_Observed = PMA_PreModelling_Test$Class,
                              RF_UF_NANC_Predicted = predict(RF_UF_NANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

RF_UF_NANC_Test
##     RF_UF_NANC_Observed RF_UF_NANC_Predicted.pred RF_UF_NANC_Predicted.Impaired
## 4               Control                   Control                          0.18
## 10             Impaired                   Control                          0.49
## 13             Impaired                   Control                          0.31
## 15              Control                   Control                          0.13
## 27             Impaired                   Control                          0.08
## 32             Impaired                   Control                          0.21
## 33             Impaired                   Control                          0.30
## 49              Control                   Control                          0.11
## 52             Impaired                  Impaired                          0.73
## 54              Control                   Control                          0.15
## 58              Control                   Control                          0.43
## 66              Control                   Control                          0.18
## 79              Control                   Control                          0.20
## 87             Impaired                   Control                          0.41
## 89              Control                   Control                          0.36
## 91              Control                   Control                          0.33
## 92              Control                   Control                          0.13
## 101            Impaired                  Impaired                          0.58
## 102             Control                   Control                          0.11
## 106             Control                   Control                          0.13
## 116             Control                   Control                          0.33
## 119             Control                   Control                          0.23
## 120             Control                   Control                          0.12
## 122             Control                   Control                          0.12
## 125             Control                   Control                          0.14
## 127             Control                   Control                          0.18
## 138             Control                   Control                          0.38
## 142             Control                   Control                          0.29
## 150             Control                   Control                          0.26
## 151             Control                   Control                          0.11
## 164            Impaired                   Control                          0.24
## 173             Control                   Control                          0.10
## 187             Control                   Control                          0.17
## 188             Control                   Control                          0.23
## 196             Control                   Control                          0.43
## 199             Control                   Control                          0.34
## 203             Control                   Control                          0.30
## 204             Control                   Control                          0.41
## 206            Impaired                  Impaired                          0.54
## 207             Control                   Control                          0.07
## 209             Control                   Control                          0.13
## 211             Control                   Control                          0.04
## 217             Control                   Control                          0.31
## 221            Impaired                  Impaired                          0.57
## 222             Control                   Control                          0.18
## 235             Control                   Control                          0.12
## 238             Control                   Control                          0.05
## 248            Impaired                   Control                          0.18
## 252             Control                   Control                          0.12
## 259            Impaired                   Control                          0.27
## 266             Control                   Control                          0.18
## 276            Impaired                  Impaired                          0.61
## 280            Impaired                   Control                          0.33
## 284             Control                   Control                          0.20
## 285             Control                   Control                          0.06
## 286             Control                   Control                          0.08
## 288             Control                   Control                          0.15
## 293            Impaired                   Control                          0.30
## 295             Control                   Control                          0.13
## 296            Impaired                  Impaired                          0.70
## 300             Control                   Control                          0.33
## 309             Control                   Control                          0.05
## 310            Impaired                   Control                          0.32
## 318             Control                   Control                          0.16
## 319             Control                   Control                          0.28
## 328             Control                   Control                          0.12
##     RF_UF_NANC_Predicted.Control
## 4                           0.82
## 10                          0.51
## 13                          0.69
## 15                          0.87
## 27                          0.92
## 32                          0.79
## 33                          0.70
## 49                          0.89
## 52                          0.27
## 54                          0.85
## 58                          0.57
## 66                          0.82
## 79                          0.80
## 87                          0.59
## 89                          0.64
## 91                          0.67
## 92                          0.87
## 101                         0.42
## 102                         0.89
## 106                         0.87
## 116                         0.67
## 119                         0.77
## 120                         0.88
## 122                         0.88
## 125                         0.86
## 127                         0.82
## 138                         0.62
## 142                         0.71
## 150                         0.74
## 151                         0.89
## 164                         0.76
## 173                         0.90
## 187                         0.83
## 188                         0.77
## 196                         0.57
## 199                         0.66
## 203                         0.70
## 204                         0.59
## 206                         0.46
## 207                         0.93
## 209                         0.87
## 211                         0.96
## 217                         0.69
## 221                         0.43
## 222                         0.82
## 235                         0.88
## 238                         0.95
## 248                         0.82
## 252                         0.88
## 259                         0.73
## 266                         0.82
## 276                         0.39
## 280                         0.67
## 284                         0.80
## 285                         0.94
## 286                         0.92
## 288                         0.85
## 293                         0.70
## 295                         0.87
## 296                         0.30
## 300                         0.67
## 309                         0.95
## 310                         0.68
## 318                         0.84
## 319                         0.72
## 328                         0.88
##################################
# Reporting the independent evaluation results
# for the test set
##################################
RF_UF_NANC_Test_ROC <- roc(response = RF_UF_NANC_Test$RF_UF_NANC_Observed,
                           predictor = RF_UF_NANC_Test$RF_UF_NANC_Predicted.Impaired,
                           levels = rev(levels(RF_UF_NANC_Test$RF_UF_NANC_Observed)))

(RF_UF_NANC_Test_ROCCurveAUC <- auc(RF_UF_NANC_Test_ROC)[1])
## [1] 0.8200231

1.5.10 Random Forest With UF Using Bonferroni-Adjusted P-Values and No Correlated Predictors (RF_UF_BANC)


Random Forest is an ensemble learning method made up of a large set of small decision trees called estimators, with each producing its own prediction. The random forest model aggregates the predictions of the estimators to produce a more accurate prediction. The algorithm involves bootstrap aggregating (where smaller subsets of the training data are repeatedly subsampled with replacement), random subspacing (where a subset of features are sampled and used to train each individual estimator), estimator training (where unpruned decision trees are formulated for each estimator) and inference by aggregating the predictions of all estimators.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The random forest model from the randomForest package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model contains 1 hyperparameter:
     [B.1] mtry = number of randomly selected predictors held constant at a value of 3

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model performance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.75888

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.75868

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
RFPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = RFPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the random forest model
# by setting the caret method to 'rf'
# with implementation of univariate filter
##################################
set.seed(12345678)
RF_UF_BANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              ntree = 100,
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
RF_UF_BANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy Kappa  ROCSD SensSD  SpecSD AccuracySD KappaSD
##  0.7589 0.4018 0.9013   0.7649 0.326 0.1062 0.2408 0.08628    0.07343  0.2261
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
RF_UF_BANC_Tune$fit
## 
## Call:
##  randomForest(x = x, y = y, ntree = 100, metric = "ROC") 
##                Type of random forest: classification
##                      Number of trees: 100
## No. of variables tried at each split: 3
## 
##         OOB estimate of  error rate: 22.1%
## Confusion matrix:
##          Impaired Control class.error
## Impaired       28      45  0.61643836
## Control        14     180  0.07216495
RF_UF_BANC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa     ROCSD    SensSD
## 1 0.7588863 0.4017857 0.9013158 0.7649064 0.3260266 0.1062305 0.2407957
##       SpecSD AccuracySD   KappaSD
## 1 0.08627986  0.0734333 0.2260972
(RF_UF_BANC_Train_ROCCurveAUC <- RF_UF_BANC_Tune$results[RF_UF_BANC_Tune$results$ROC==max(RF_UF_BANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7588863
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
RF_UF_BANC_Test <- data.frame(RF_UF_BANC_Observed = PMA_PreModelling_Test$Class,
                              RF_UF_BANC_Predicted = predict(RF_UF_BANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

RF_UF_BANC_Test
##     RF_UF_BANC_Observed RF_UF_BANC_Predicted.pred RF_UF_BANC_Predicted.Impaired
## 4               Control                   Control                          0.13
## 10             Impaired                   Control                          0.47
## 13             Impaired                   Control                          0.23
## 15              Control                   Control                          0.24
## 27             Impaired                   Control                          0.08
## 32             Impaired                   Control                          0.14
## 33             Impaired                   Control                          0.25
## 49              Control                   Control                          0.00
## 52             Impaired                  Impaired                          0.79
## 54              Control                   Control                          0.25
## 58              Control                   Control                          0.49
## 66              Control                   Control                          0.22
## 79              Control                   Control                          0.32
## 87             Impaired                   Control                          0.28
## 89              Control                   Control                          0.18
## 91              Control                  Impaired                          0.58
## 92              Control                   Control                          0.12
## 101            Impaired                  Impaired                          0.78
## 102             Control                   Control                          0.10
## 106             Control                   Control                          0.10
## 116             Control                   Control                          0.27
## 119             Control                   Control                          0.19
## 120             Control                   Control                          0.24
## 122             Control                   Control                          0.10
## 125             Control                   Control                          0.16
## 127             Control                   Control                          0.35
## 138             Control                   Control                          0.30
## 142             Control                   Control                          0.37
## 150             Control                   Control                          0.25
## 151             Control                   Control                          0.17
## 164            Impaired                   Control                          0.23
## 173             Control                   Control                          0.14
## 187             Control                   Control                          0.24
## 188             Control                   Control                          0.12
## 196             Control                   Control                          0.25
## 199             Control                   Control                          0.15
## 203             Control                   Control                          0.18
## 204             Control                   Control                          0.43
## 206            Impaired                  Impaired                          0.61
## 207             Control                   Control                          0.09
## 209             Control                   Control                          0.19
## 211             Control                   Control                          0.17
## 217             Control                   Control                          0.44
## 221            Impaired                   Control                          0.46
## 222             Control                   Control                          0.17
## 235             Control                   Control                          0.06
## 238             Control                   Control                          0.09
## 248            Impaired                   Control                          0.12
## 252             Control                   Control                          0.10
## 259            Impaired                   Control                          0.41
## 266             Control                   Control                          0.31
## 276            Impaired                  Impaired                          0.64
## 280            Impaired                   Control                          0.21
## 284             Control                   Control                          0.26
## 285             Control                   Control                          0.07
## 286             Control                   Control                          0.10
## 288             Control                   Control                          0.18
## 293            Impaired                   Control                          0.49
## 295             Control                   Control                          0.12
## 296            Impaired                  Impaired                          0.73
## 300             Control                  Impaired                          0.54
## 309             Control                   Control                          0.05
## 310            Impaired                   Control                          0.39
## 318             Control                   Control                          0.07
## 319             Control                   Control                          0.33
## 328             Control                   Control                          0.08
##     RF_UF_BANC_Predicted.Control
## 4                           0.87
## 10                          0.53
## 13                          0.77
## 15                          0.76
## 27                          0.92
## 32                          0.86
## 33                          0.75
## 49                          1.00
## 52                          0.21
## 54                          0.75
## 58                          0.51
## 66                          0.78
## 79                          0.68
## 87                          0.72
## 89                          0.82
## 91                          0.42
## 92                          0.88
## 101                         0.22
## 102                         0.90
## 106                         0.90
## 116                         0.73
## 119                         0.81
## 120                         0.76
## 122                         0.90
## 125                         0.84
## 127                         0.65
## 138                         0.70
## 142                         0.63
## 150                         0.75
## 151                         0.83
## 164                         0.77
## 173                         0.86
## 187                         0.76
## 188                         0.88
## 196                         0.75
## 199                         0.85
## 203                         0.82
## 204                         0.57
## 206                         0.39
## 207                         0.91
## 209                         0.81
## 211                         0.83
## 217                         0.56
## 221                         0.54
## 222                         0.83
## 235                         0.94
## 238                         0.91
## 248                         0.88
## 252                         0.90
## 259                         0.59
## 266                         0.69
## 276                         0.36
## 280                         0.79
## 284                         0.74
## 285                         0.93
## 286                         0.90
## 288                         0.82
## 293                         0.51
## 295                         0.88
## 296                         0.27
## 300                         0.46
## 309                         0.95
## 310                         0.61
## 318                         0.93
## 319                         0.67
## 328                         0.92
##################################
# Reporting the independent evaluation results
# for the test set
##################################
RF_UF_BANC_Test_ROC <- roc(response = RF_UF_BANC_Test$RF_UF_BANC_Observed,
                           predictor = RF_UF_BANC_Test$RF_UF_BANC_Predicted.Impaired,
                           levels = rev(levels(RF_UF_BANC_Test$RF_UF_BANC_Observed)))

(RF_UF_BANC_Test_ROCCurveAUC <- auc(RF_UF_BANC_Test_ROC)[1])
## [1] 0.7586806

1.5.11 Naive Bayes Without UF (NB_FULL)


Naive Bayes Classifier categorizes instances by applying Bayes Theorem in determining posterior probabilities as conditioned by the likelihood of features, and prior probabilities pertaining to both events and features. The algorithm naively assumes independence between features and assigns the same weight (degree of significance) to all given features. The class conditional probabilities and the prior probabilities are calculated to yield the posterior probability, and operates by returning the class, which has the maximum posterior probability out of a group of classes.

[A] The naive bayes model from the klaR package was implemented without recursive feature elimination through the caret package.

[B] The model contains 3 hyperparameters:
     [B.1] fL = laplace correction held constant at a value of 0
     [B.2] adjust = bandwidth adjustment held constant at a value of TRUE
     [B.3] usekernel = distribution type made to vary across a range of levels equal to TRUE and FALSE

[C] The cross-validated model performance of the final model is summarized as follows:
     [C.1] Final model configuration involves fL=0, adjust=TRUE and usekernel=TRUE
     [C.2] AUROC = 0.73904

[D] The model does not allow for ranking of predictors in terms of variable importance.

[E] The independent test model performance of the final model is summarized as follows:
     [E.1] AUROC = 0.68055

Code Chunk | Output
##################################
# Running the naive bayes model
# by setting the caret method to 'nb'
##################################
set.seed(12345678)
NB_FULL_Tune <- caret::train(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                        y = PMA_PreModelling_Train$Class,
                        method = "nb",
                        metric = "ROC",
                        trControl = KFold_TrainControl)

##################################
# Reporting the cross-validation results
# for the train set
##################################
NB_FULL_Tune
## Naive Bayes 
## 
## 267 samples
## 127 predictors
##   2 classes: 'Impaired', 'Control' 
## 
## No pre-processing
## Resampling: Cross-Validated (10 fold) 
## Summary of sample sizes: 240, 239, 241, 240, 241, 241, ... 
## Resampling results across tuning parameters:
## 
##   usekernel  ROC        Sens       Spec       Accuracy   Kappa    
##   FALSE      0.7333788  0.6089286  0.7363158  0.7006410  0.3162972
##    TRUE      0.7390414  0.5821429  0.7518421  0.7043549  0.3064041
## 
## Tuning parameter 'fL' was held constant at a value of 0
## Tuning
##  parameter 'adjust' was held constant at a value of 1
## ROC was used to select the optimal model using the largest value.
## The final values used for the model were fL = 0, usekernel = TRUE and adjust
##  = 1.
NB_FULL_Tune$finalModel
## $apriori
## grouping
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## $tables
## $tables$ACE_CD143_Angiotensin_Converti
## $tables$ACE_CD143_Angiotensin_Converti$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1998
## 
##        x                 y            
##  Min.   :-0.2455   Min.   :0.0003209  
##  1st Qu.: 0.5589   1st Qu.:0.0490299  
##  Median : 1.3633   Median :0.3461303  
##  Mean   : 1.3633   Mean   :0.3101593  
##  3rd Qu.: 2.1677   3rd Qu.:0.5461595  
##  Max.   : 2.9721   Max.   :0.6280039  
## 
## $tables$ACE_CD143_Angiotensin_Converti$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1681
## 
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##  1st Qu.:-0.04894   1st Qu.:0.0089598  
##  Median : 1.08210   Median :0.1029867  
##  Mean   : 1.08210   Mean   :0.2206013  
##  3rd Qu.: 2.21314   3rd Qu.:0.4099024  
##  Max.   : 3.34418   Max.   :0.7151786  
## 
## 
## $tables$ACTH_Adrenocorticotropic_Hormon
## $tables$ACTH_Adrenocorticotropic_Hormon$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1143
## 
##        x                 y            
##  Min.   :-2.5502   Min.   :0.0005475  
##  1st Qu.:-2.0438   1st Qu.:0.0692909  
##  Median :-1.5374   Median :0.3840751  
##  Mean   :-1.5374   Mean   :0.4926815  
##  3rd Qu.:-1.0310   3rd Qu.:0.9225221  
##  Max.   :-0.5246   Max.   :1.2602537  
## 
## $tables$ACTH_Adrenocorticotropic_Hormon$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08486
## 
##        x                 y            
##  Min.   :-2.4619   Min.   :0.0003137  
##  1st Qu.:-1.9937   1st Qu.:0.0895963  
##  Median :-1.5256   Median :0.2980905  
##  Mean   :-1.5256   Mean   :0.5329992  
##  3rd Qu.:-1.0575   3rd Qu.:1.0765004  
##  Max.   :-0.5894   Max.   :1.3565983  
## 
## 
## $tables$AXL
## $tables$AXL$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1452
## 
##        x                  y            
##  Min.   :-0.73867   Min.   :0.0004204  
##  1st Qu.:-0.06473   1st Qu.:0.0589901  
##  Median : 0.60921   Median :0.2320519  
##  Mean   : 0.60921   Mean   :0.3702070  
##  3rd Qu.: 1.28315   3rd Qu.:0.6513799  
##  Max.   : 1.95709   Max.   :1.0520134  
## 
## $tables$AXL$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1448
## 
##        x                 y            
##  Min.   :-1.3574   Min.   :0.0001591  
##  1st Qu.:-0.5580   1st Qu.:0.0344729  
##  Median : 0.2415   Median :0.2151028  
##  Mean   : 0.2415   Mean   :0.3121146  
##  3rd Qu.: 1.0409   3rd Qu.:0.6337831  
##  Max.   : 1.8403   Max.   :0.8436302  
## 
## 
## $tables$Adiponectin
## $tables$Adiponectin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2539
## 
##        x                y            
##  Min.   :-7.264   Min.   :0.0002521  
##  1st Qu.:-6.170   1st Qu.:0.0394325  
##  Median :-5.076   Median :0.2066845  
##  Mean   :-5.076   Mean   :0.2280610  
##  3rd Qu.:-3.982   3rd Qu.:0.3942500  
##  Max.   :-2.888   Max.   :0.5531403  
## 
## $tables$Adiponectin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2047
## 
##        x                y            
##  Min.   :-7.340   Min.   :0.0002675  
##  1st Qu.:-6.228   1st Qu.:0.0422054  
##  Median :-5.116   Median :0.1469090  
##  Mean   :-5.116   Mean   :0.2244105  
##  3rd Qu.:-4.004   3rd Qu.:0.4158256  
##  Max.   :-2.892   Max.   :0.6303057  
## 
## 
## $tables$Alpha_1_Antichymotrypsin
## $tables$Alpha_1_Antichymotrypsin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.137
## 
##        x                   y            
##  Min.   :-0.005415   Min.   :0.0004458  
##  1st Qu.: 0.674305   1st Qu.:0.0430018  
##  Median : 1.354025   Median :0.2037227  
##  Mean   : 1.354025   Mean   :0.3670632  
##  3rd Qu.: 2.033745   3rd Qu.:0.7057813  
##  Max.   : 2.713465   Max.   :1.0974955  
## 
## $tables$Alpha_1_Antichymotrypsin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1039
## 
##        x                  y            
##  Min.   :-0.04928   Min.   :0.0002224  
##  1st Qu.: 0.60377   1st Qu.:0.0337927  
##  Median : 1.25683   Median :0.1887951  
##  Mean   : 1.25683   Mean   :0.3820623  
##  3rd Qu.: 1.90988   3rd Qu.:0.7159872  
##  Max.   : 2.56294   Max.   :1.1195436  
## 
## 
## $tables$Alpha_1_Antitrypsin
## $tables$Alpha_1_Antitrypsin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4782
## 
##        x                 y            
##  Min.   :-17.980   Min.   :0.0001293  
##  1st Qu.:-15.174   1st Qu.:0.0145127  
##  Median :-12.369   Median :0.0298018  
##  Mean   :-12.369   Mean   :0.0889250  
##  3rd Qu.: -9.563   3rd Qu.:0.1573948  
##  Max.   : -6.757   Max.   :0.2894396  
## 
## $tables$Alpha_1_Antitrypsin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4461
## 
##        x                 y            
##  Min.   :-18.367   Min.   :5.246e-05  
##  1st Qu.:-15.545   1st Qu.:6.361e-03  
##  Median :-12.723   Median :4.263e-02  
##  Mean   :-12.723   Mean   :8.842e-02  
##  3rd Qu.: -9.901   3rd Qu.:1.639e-01  
##  Max.   : -7.079   Max.   :2.904e-01  
## 
## 
## $tables$Alpha_1_Microglobulin
## $tables$Alpha_1_Microglobulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1673
## 
##        x                y            
##  Min.   :-4.414   Min.   :0.0003698  
##  1st Qu.:-3.643   1st Qu.:0.0406102  
##  Median :-2.872   Median :0.2123210  
##  Mean   :-2.872   Mean   :0.3237022  
##  3rd Qu.:-2.102   3rd Qu.:0.6327584  
##  Max.   :-1.331   Max.   :0.8444216  
## 
## $tables$Alpha_1_Microglobulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1525
## 
##        x                y            
##  Min.   :-4.800   Min.   :0.0001505  
##  1st Qu.:-3.929   1st Qu.:0.0220770  
##  Median :-3.057   Median :0.1808985  
##  Mean   :-3.057   Mean   :0.2863190  
##  3rd Qu.:-2.186   3rd Qu.:0.5640564  
##  Max.   :-1.315   Max.   :0.8166444  
## 
## 
## $tables$Alpha_2_Macroglobulin
## $tables$Alpha_2_Macroglobulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 11.24
## 
##        x                 y            
##  Min.   :-287.01   Min.   :5.480e-06  
##  1st Qu.:-221.69   1st Qu.:6.888e-04  
##  Median :-156.37   Median :1.894e-03  
##  Mean   :-156.37   Mean   :3.820e-03  
##  3rd Qu.: -91.06   3rd Qu.:6.271e-03  
##  Max.   : -25.74   Max.   :1.127e-02  
## 
## $tables$Alpha_2_Macroglobulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 11.74
## 
##        x                y            
##  Min.   :-324.9   Min.   :1.956e-06  
##  1st Qu.:-251.7   1st Qu.:2.978e-04  
##  Median :-178.5   Median :2.373e-03  
##  Mean   :-178.5   Mean   :3.409e-03  
##  3rd Qu.:-105.3   3rd Qu.:6.138e-03  
##  Max.   : -32.1   Max.   :9.772e-03  
## 
## 
## $tables$Angiopoietin_2_ANG_2
## $tables$Angiopoietin_2_ANG_2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.0982
## 
##        x                 y            
##  Min.   :-0.3459   Min.   :0.0006234  
##  1st Qu.: 0.1670   1st Qu.:0.0781865  
##  Median : 0.6798   Median :0.3461658  
##  Mean   : 0.6798   Mean   :0.4864897  
##  3rd Qu.: 1.1927   3rd Qu.:0.8349924  
##  Max.   : 1.7056   Max.   :1.3554703  
## 
## $tables$Angiopoietin_2_ANG_2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1062
## 
##        x                 y            
##  Min.   :-0.8633   Min.   :0.0002621  
##  1st Qu.:-0.1863   1st Qu.:0.0253269  
##  Median : 0.4907   Median :0.1522265  
##  Mean   : 0.4907   Mean   :0.3685663  
##  3rd Qu.: 1.1676   3rd Qu.:0.7120418  
##  Max.   : 1.8446   Max.   :1.1408102  
## 
## 
## $tables$Angiotensinogen
## $tables$Angiotensinogen$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.0834
## 
##        x               y           
##  Min.   :1.501   Min.   :0.001466  
##  1st Qu.:1.879   1st Qu.:0.164862  
##  Median :2.257   Median :0.614044  
##  Mean   :2.257   Mean   :0.660034  
##  3rd Qu.:2.635   3rd Qu.:1.031014  
##  Max.   :3.013   Max.   :1.736671  
## 
## $tables$Angiotensinogen$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07902
## 
##        x               y            
##  Min.   :1.515   Min.   :0.0004946  
##  1st Qu.:1.915   1st Qu.:0.1122796  
##  Median :2.316   Median :0.5063013  
##  Mean   :2.316   Mean   :0.6224036  
##  3rd Qu.:2.717   3rd Qu.:1.1729522  
##  Max.   :3.118   Max.   :1.4049536  
## 
## 
## $tables$Apolipoprotein_A_IV
## $tables$Apolipoprotein_A_IV$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                 y            
##  Min.   :-3.3662   Min.   :0.0004478  
##  1st Qu.:-2.7071   1st Qu.:0.0523803  
##  Median :-2.0480   Median :0.2231518  
##  Mean   :-2.0480   Mean   :0.3785438  
##  3rd Qu.:-1.3889   3rd Qu.:0.6980312  
##  Max.   :-0.7298   Max.   :1.1139157  
## 
## $tables$Apolipoprotein_A_IV$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1196
## 
##        x                 y            
##  Min.   :-3.2593   Min.   :0.0001936  
##  1st Qu.:-2.5489   1st Qu.:0.0360635  
##  Median :-1.8385   Median :0.1920540  
##  Mean   :-1.8385   Mean   :0.3512108  
##  3rd Qu.:-1.1281   3rd Qu.:0.6808012  
##  Max.   :-0.4176   Max.   :0.9538399  
## 
## 
## $tables$Apolipoprotein_A1
## $tables$Apolipoprotein_A1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1467
## 
##        x                y            
##  Min.   :-9.009   Min.   :0.0004379  
##  1st Qu.:-8.289   1st Qu.:0.0620870  
##  Median :-7.570   Median :0.2576626  
##  Mean   :-7.570   Mean   :0.3468466  
##  3rd Qu.:-6.851   3rd Qu.:0.5742760  
##  Max.   :-6.131   Max.   :1.0401170  
## 
## $tables$Apolipoprotein_A1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1383
## 
##        x                y            
##  Min.   :-9.095   Min.   :0.0001704  
##  1st Qu.:-8.259   1st Qu.:0.0355649  
##  Median :-7.423   Median :0.1598424  
##  Mean   :-7.423   Mean   :0.2984869  
##  3rd Qu.:-6.587   3rd Qu.:0.5933218  
##  Max.   :-5.751   Max.   :0.9106778  
## 
## 
## $tables$Apolipoprotein_A2
## $tables$Apolipoprotein_A2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1786
## 
##        x                 y            
##  Min.   :-2.0498   Min.   :0.0005364  
##  1st Qu.:-1.3021   1st Qu.:0.0568856  
##  Median :-0.5543   Median :0.3095466  
##  Mean   :-0.5543   Mean   :0.3336677  
##  3rd Qu.: 0.1934   3rd Qu.:0.5957716  
##  Max.   : 0.9412   Max.   :0.7381188  
## 
## $tables$Apolipoprotein_A2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1456
## 
##        x                 y            
##  Min.   :-2.3338   Min.   :0.0001587  
##  1st Qu.:-1.4023   1st Qu.:0.0297244  
##  Median :-0.4708   Median :0.1432504  
##  Mean   :-0.4708   Mean   :0.2678557  
##  3rd Qu.: 0.4607   3rd Qu.:0.4799477  
##  Max.   : 1.3922   Max.   :0.8396120  
## 
## 
## $tables$Apolipoprotein_B
## $tables$Apolipoprotein_B$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.6047
## 
##        x                  y            
##  Min.   :-10.7466   Min.   :0.0001139  
##  1st Qu.: -8.1446   1st Qu.:0.0153891  
##  Median : -5.5425   Median :0.0825055  
##  Mean   : -5.5425   Mean   :0.0958876  
##  3rd Qu.: -2.9405   3rd Qu.:0.1620245  
##  Max.   : -0.3385   Max.   :0.2459914  
## 
## $tables$Apolipoprotein_B$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4484
## 
##        x                  y            
##  Min.   :-11.2822   Min.   :8.705e-05  
##  1st Qu.: -8.6635   1st Qu.:8.308e-03  
##  Median : -6.0448   Median :5.663e-02  
##  Mean   : -6.0448   Mean   :9.528e-02  
##  3rd Qu.: -3.4261   3rd Qu.:1.984e-01  
##  Max.   : -0.8073   Max.   :2.739e-01  
## 
## 
## $tables$Apolipoprotein_CI
## $tables$Apolipoprotein_CI$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1594
## 
##        x                  y            
##  Min.   :-3.15171   Min.   :0.0003823  
##  1st Qu.:-2.34815   1st Qu.:0.0367549  
##  Median :-1.54458   Median :0.1789952  
##  Mean   :-1.54458   Mean   :0.3104953  
##  3rd Qu.:-0.74102   3rd Qu.:0.5826321  
##  Max.   : 0.06255   Max.   :0.9612227  
## 
## $tables$Apolipoprotein_CI$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1045
## 
##        x                  y            
##  Min.   :-3.63779   Min.   :0.0002209  
##  1st Qu.:-2.71856   1st Qu.:0.0149817  
##  Median :-1.79934   Median :0.0685845  
##  Mean   :-1.79934   Mean   :0.2714330  
##  3rd Qu.:-0.88011   3rd Qu.:0.4132861  
##  Max.   : 0.03912   Max.   :1.1961881  
## 
## 
## $tables$Apolipoprotein_CIII
## $tables$Apolipoprotein_CIII$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1455
## 
##        x                 y            
##  Min.   :-3.9768   Min.   :0.0004594  
##  1st Qu.:-3.2303   1st Qu.:0.0769950  
##  Median :-2.4838   Median :0.1626602  
##  Mean   :-2.4838   Mean   :0.3342151  
##  3rd Qu.:-1.7373   3rd Qu.:0.6342758  
##  Max.   :-0.9907   Max.   :1.0259670  
## 
## $tables$Apolipoprotein_CIII$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                 y            
##  Min.   :-4.0596   Min.   :0.0001868  
##  1st Qu.:-3.2615   1st Qu.:0.0384294  
##  Median :-2.4634   Median :0.1446462  
##  Mean   :-2.4634   Mean   :0.3126263  
##  3rd Qu.:-1.6653   3rd Qu.:0.5920527  
##  Max.   :-0.8672   Max.   :1.0140099  
## 
## 
## $tables$Apolipoprotein_D
## $tables$Apolipoprotein_D$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1309
## 
##        x                y            
##  Min.   :0.3494   Min.   :0.0005284  
##  1st Qu.:0.9282   1st Qu.:0.0738700  
##  Median :1.5070   Median :0.3572737  
##  Mean   :1.5070   Mean   :0.4310411  
##  3rd Qu.:2.0859   3rd Qu.:0.8265433  
##  Max.   :2.6647   Max.   :1.0110736  
## 
## $tables$Apolipoprotein_D$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09731
## 
##        x                y            
##  Min.   :0.1781   Min.   :0.0002366  
##  1st Qu.:0.7445   1st Qu.:0.0418393  
##  Median :1.3109   Median :0.3065151  
##  Mean   :1.3109   Mean   :0.4405095  
##  3rd Qu.:1.8773   3rd Qu.:0.7824477  
##  Max.   :2.4437   Max.   :1.2350084  
## 
## 
## $tables$Apolipoprotein_E
## $tables$Apolipoprotein_E$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.253
## 
##        x                y            
##  Min.   :-0.168   Min.   :0.0002411  
##  1st Qu.: 1.285   1st Qu.:0.0352925  
##  Median : 2.738   Median :0.0701342  
##  Mean   : 2.738   Mean   :0.1716987  
##  3rd Qu.: 4.191   3rd Qu.:0.2939771  
##  Max.   : 5.645   Max.   :0.5674180  
## 
## $tables$Apolipoprotein_E$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2394
## 
##        x                y            
##  Min.   :0.2702   Min.   :0.0000961  
##  1st Qu.:1.7432   1st Qu.:0.0092534  
##  Median :3.2163   Median :0.1030462  
##  Mean   :3.2163   Mean   :0.1693809  
##  3rd Qu.:4.6894   3rd Qu.:0.3008762  
##  Max.   :6.1624   Max.   :0.5303439  
## 
## 
## $tables$Apolipoprotein_H
## $tables$Apolipoprotein_H$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1461
## 
##        x                 y            
##  Min.   :-1.5024   Min.   :0.0004265  
##  1st Qu.:-0.8516   1st Qu.:0.0521460  
##  Median :-0.2007   Median :0.2722437  
##  Mean   :-0.2007   Mean   :0.3833466  
##  3rd Qu.: 0.4501   3rd Qu.:0.7306001  
##  Max.   : 1.1010   Max.   :0.9663690  
## 
## $tables$Apolipoprotein_H$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1182
## 
##        x                 y            
##  Min.   :-2.5885   Min.   :0.0000088  
##  1st Qu.:-1.6210   1st Qu.:0.0062752  
##  Median :-0.6534   Median :0.0534011  
##  Mean   :-0.6534   Mean   :0.2578794  
##  3rd Qu.: 0.3141   3rd Qu.:0.4458639  
##  Max.   : 1.2817   Max.   :1.1064203  
## 
## 
## $tables$B_Lymphocyte_Chemoattractant_BL
## $tables$B_Lymphocyte_Chemoattractant_BL$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1786
## 
##        x                y            
##  Min.   :0.2631   Min.   :0.0003411  
##  1st Qu.:1.2047   1st Qu.:0.0344897  
##  Median :2.1462   Median :0.2154676  
##  Mean   :2.1462   Mean   :0.2649772  
##  3rd Qu.:3.0878   3rd Qu.:0.4189822  
##  Max.   :4.0294   Max.   :0.7283596  
## 
## $tables$B_Lymphocyte_Chemoattractant_BL$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1635
## 
##        x                y            
##  Min.   :0.2412   Min.   :0.0001404  
##  1st Qu.:1.3095   1st Qu.:0.0158056  
##  Median :2.3778   Median :0.1517980  
##  Mean   :2.3778   Mean   :0.2335554  
##  3rd Qu.:3.4460   3rd Qu.:0.4260135  
##  Max.   :4.5143   Max.   :0.7412313  
## 
## 
## $tables$BMP_6
## $tables$BMP_6$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.09284
## 
##        x                 y            
##  Min.   :-3.0397   Min.   :0.0006598  
##  1st Qu.:-2.4143   1st Qu.:0.0449987  
##  Median :-1.7889   Median :0.1859826  
##  Mean   :-1.7889   Mean   :0.3989581  
##  3rd Qu.:-1.1635   3rd Qu.:0.6880575  
##  Max.   :-0.5381   Max.   :1.3759981  
## 
## $tables$BMP_6$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09612
## 
##        x                 y            
##  Min.   :-3.0495   Min.   :0.0002386  
##  1st Qu.:-2.4461   1st Qu.:0.0385815  
##  Median :-1.8426   Median :0.1396934  
##  Mean   :-1.8426   Mean   :0.4134594  
##  3rd Qu.:-1.2391   3rd Qu.:0.9163731  
##  Max.   :-0.6357   Max.   :1.2639152  
## 
## 
## $tables$Beta_2_Microglobulin
## $tables$Beta_2_Microglobulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1171
## 
##        x                 y            
##  Min.   :-0.8960   Min.   :0.0005716  
##  1st Qu.:-0.3551   1st Qu.:0.0654314  
##  Median : 0.1858   Median :0.2969428  
##  Mean   : 0.1858   Mean   :0.4612902  
##  3rd Qu.: 0.7267   3rd Qu.:0.7188823  
##  Max.   : 1.2675   Max.   :1.4159783  
## 
## $tables$Beta_2_Microglobulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08836
## 
##        x                 y            
##  Min.   :-0.8098   Min.   :0.0005204  
##  1st Qu.:-0.2928   1st Qu.:0.0601380  
##  Median : 0.2243   Median :0.3259995  
##  Mean   : 0.2243   Mean   :0.4825685  
##  3rd Qu.: 0.7413   3rd Qu.:0.8538544  
##  Max.   : 1.2583   Max.   :1.4796700  
## 
## 
## $tables$Betacellulin
## $tables$Betacellulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.15
## 
##        x               y            
##  Min.   :19.55   Min.   :1.471e-05  
##  1st Qu.:38.28   1st Qu.:1.810e-03  
##  Median :57.00   Median :1.038e-02  
##  Mean   :57.00   Mean   :1.332e-02  
##  3rd Qu.:75.72   3rd Qu.:2.312e-02  
##  Max.   :94.45   Max.   :3.913e-02  
## 
## $tables$Betacellulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 3.417
## 
##        x                 y            
##  Min.   :-0.2524   Min.   :6.710e-06  
##  1st Qu.:22.8738   1st Qu.:5.619e-04  
##  Median :46.0000   Median :3.704e-03  
##  Mean   :46.0000   Mean   :1.079e-02  
##  3rd Qu.:69.1262   3rd Qu.:2.256e-02  
##  Max.   :92.2524   Max.   :3.570e-02  
## 
## 
## $tables$C_Reactive_Protein
## $tables$C_Reactive_Protein$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.434
## 
##        x                y            
##  Min.   :-9.483   Min.   :0.0001462  
##  1st Qu.:-7.632   1st Qu.:0.0194985  
##  Median :-5.781   Median :0.1182317  
##  Mean   :-5.781   Mean   :0.1348031  
##  3rd Qu.:-3.930   3rd Qu.:0.2385781  
##  Max.   :-2.079   Max.   :0.3138492  
## 
## $tables$C_Reactive_Protein$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3559
## 
##        x                y            
##  Min.   :-9.585   Min.   :0.0001076  
##  1st Qu.:-7.656   1st Qu.:0.0271541  
##  Median :-5.727   Median :0.1112364  
##  Mean   :-5.727   Mean   :0.1293551  
##  3rd Qu.:-3.798   3rd Qu.:0.2300748  
##  Max.   :-1.870   Max.   :0.3024495  
## 
## 
## $tables$CD40
## $tables$CD40$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.07961
## 
##        x                 y            
##  Min.   :-2.0840   Min.   :0.0007637  
##  1st Qu.:-1.6785   1st Qu.:0.0782203  
##  Median :-1.2730   Median :0.3599145  
##  Mean   :-1.2730   Mean   :0.6152694  
##  3rd Qu.:-0.8675   3rd Qu.:1.1323779  
##  Max.   :-0.4620   Max.   :1.8693612  
## 
## $tables$CD40$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.05743
## 
##        x                 y            
##  Min.   :-2.0367   Min.   :0.0004012  
##  1st Qu.:-1.6213   1st Qu.:0.0553619  
##  Median :-1.2059   Median :0.2193892  
##  Mean   :-1.2059   Mean   :0.6006770  
##  3rd Qu.:-0.7905   3rd Qu.:1.0452844  
##  Max.   :-0.3752   Max.   :2.2195996  
## 
## 
## $tables$CD5L
## $tables$CD5L$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.172
## 
##        x                 y            
##  Min.   :-1.6871   Min.   :0.0004209  
##  1st Qu.:-0.9073   1st Qu.:0.0656876  
##  Median :-0.1274   Median :0.2613718  
##  Mean   :-0.1274   Mean   :0.3199414  
##  3rd Qu.: 0.6524   3rd Qu.:0.5479588  
##  Max.   : 1.4322   Max.   :0.8452315  
## 
## $tables$CD5L$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.133
## 
##        x                  y            
##  Min.   :-1.63693   Min.   :0.0002106  
##  1st Qu.:-0.83715   1st Qu.:0.0421442  
##  Median :-0.03736   Median :0.1637532  
##  Mean   :-0.03736   Mean   :0.3119687  
##  3rd Qu.: 0.76242   3rd Qu.:0.5640367  
##  Max.   : 1.56221   Max.   :0.9668307  
## 
## 
## $tables$Calbindin
## $tables$Calbindin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 1.699
## 
##        x                y            
##  Min.   : 8.134   Min.   :3.704e-05  
##  1st Qu.:15.819   1st Qu.:4.408e-03  
##  Median :23.504   Median :2.335e-02  
##  Mean   :23.504   Mean   :3.247e-02  
##  3rd Qu.:31.189   3rd Qu.:6.288e-02  
##  Max.   :38.874   Max.   :8.151e-02  
## 
## $tables$Calbindin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.104
## 
##        x               y            
##  Min.   : 7.65   Min.   :2.206e-05  
##  1st Qu.:14.87   1st Qu.:6.150e-03  
##  Median :22.09   Median :1.696e-02  
##  Mean   :22.09   Mean   :3.456e-02  
##  3rd Qu.:29.31   3rd Qu.:6.251e-02  
##  Max.   :36.52   Max.   :1.082e-01  
## 
## 
## $tables$Calcitonin
## $tables$Calcitonin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3538
## 
##        x                  y            
##  Min.   :-1.77474   Min.   :0.0001725  
##  1st Qu.:-0.09275   1st Qu.:0.0146715  
##  Median : 1.58923   Median :0.1004850  
##  Mean   : 1.58923   Mean   :0.1483381  
##  3rd Qu.: 3.27122   3rd Qu.:0.2647752  
##  Max.   : 4.95321   Max.   :0.4215435  
## 
## $tables$Calcitonin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2686
## 
##        x                  y            
##  Min.   :-1.51917   Min.   :0.0001713  
##  1st Qu.:-0.02852   1st Qu.:0.0196753  
##  Median : 1.46212   Median :0.1068481  
##  Mean   : 1.46212   Mean   :0.1673803  
##  3rd Qu.: 2.95276   3rd Qu.:0.3258038  
##  Max.   : 4.44340   Max.   :0.4272822  
## 
## 
## $tables$CgA
## $tables$CgA$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 30.97
## 
##        x                y            
##  Min.   : 45.03   Min.   :1.981e-06  
##  1st Qu.:190.12   1st Qu.:1.969e-04  
##  Median :335.20   Median :1.248e-03  
##  Mean   :335.20   Mean   :1.720e-03  
##  3rd Qu.:480.29   3rd Qu.:3.088e-03  
##  Max.   :625.37   Max.   :4.645e-03  
## 
## $tables$CgA$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 26.56
## 
##        x                y            
##  Min.   : 55.93   Min.   :1.718e-06  
##  1st Qu.:195.71   1st Qu.:3.215e-04  
##  Median :335.50   Median :1.210e-03  
##  Mean   :335.50   Mean   :1.785e-03  
##  3rd Qu.:475.29   3rd Qu.:3.252e-03  
##  Max.   :615.08   Max.   :4.497e-03  
## 
## 
## $tables$Clusterin_Apo_J
## $tables$Clusterin_Apo_J$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1155
## 
##        x               y            
##  Min.   :1.525   Min.   :0.0005269  
##  1st Qu.:2.127   1st Qu.:0.0219539  
##  Median :2.728   Median :0.1830742  
##  Mean   :2.728   Mean   :0.4150646  
##  3rd Qu.:3.329   3rd Qu.:0.8290506  
##  Max.   :3.930   Max.   :1.2069046  
## 
## $tables$Clusterin_Apo_J$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0788
## 
##        x               y            
##  Min.   :1.724   Min.   :0.0002915  
##  1st Qu.:2.248   1st Qu.:0.0430777  
##  Median :2.772   Median :0.2921669  
##  Mean   :2.772   Mean   :0.4761093  
##  3rd Qu.:3.296   3rd Qu.:0.7752340  
##  Max.   :3.820   Max.   :1.5112165  
## 
## 
## $tables$Complement_3
## $tables$Complement_3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.9024
## 
##        x                 y            
##  Min.   :-23.309   Min.   :6.925e-05  
##  1st Qu.:-19.196   1st Qu.:6.933e-03  
##  Median :-15.082   Median :4.532e-02  
##  Mean   :-15.082   Mean   :6.066e-02  
##  3rd Qu.:-10.969   3rd Qu.:1.205e-01  
##  Max.   : -6.855   Max.   :1.458e-01  
## 
## $tables$Complement_3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.7662
## 
##        x                 y            
##  Min.   :-25.686   Min.   :2.994e-05  
##  1st Qu.:-21.269   1st Qu.:2.573e-03  
##  Median :-16.853   Median :4.057e-02  
##  Mean   :-16.853   Mean   :5.649e-02  
##  3rd Qu.:-12.436   3rd Qu.:1.164e-01  
##  Max.   : -8.019   Max.   :1.468e-01  
## 
## 
## $tables$Complement_Factor_H
## $tables$Complement_Factor_H$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4561
## 
##        x                 y            
##  Min.   :-0.6365   Min.   :0.0001334  
##  1st Qu.: 1.6432   1st Qu.:0.0101982  
##  Median : 3.9228   Median :0.0677571  
##  Mean   : 3.9228   Mean   :0.1094477  
##  3rd Qu.: 6.2025   3rd Qu.:0.2231480  
##  Max.   : 8.4821   Max.   :0.2975106  
## 
## $tables$Complement_Factor_H$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.344
## 
##        x                 y            
##  Min.   :-1.8708   Min.   :0.0000668  
##  1st Qu.: 0.7609   1st Qu.:0.0058281  
##  Median : 3.3926   Median :0.0287327  
##  Mean   : 3.3926   Mean   :0.0948090  
##  3rd Qu.: 6.0243   3rd Qu.:0.1687079  
##  Max.   : 8.6560   Max.   :0.3761700  
## 
## 
## $tables$Connective_Tissue_Growth_Factor
## $tables$Connective_Tissue_Growth_Factor$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.07808
## 
##        x                y            
##  Min.   :0.1022   Min.   :0.0008546  
##  1st Qu.:0.4484   1st Qu.:0.1082344  
##  Median :0.7946   Median :0.5578172  
##  Mean   :0.7946   Mean   :0.7206807  
##  3rd Qu.:1.1408   3rd Qu.:1.3365230  
##  Max.   :1.4870   Max.   :1.8357463  
## 
## $tables$Connective_Tissue_Growth_Factor$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.06372
## 
##        x                   y            
##  Min.   :-0.008838   Min.   :0.0003616  
##  1st Qu.: 0.393908   1st Qu.:0.0417111  
##  Median : 0.796654   Median :0.2894073  
##  Mean   : 0.796654   Mean   :0.6195177  
##  3rd Qu.: 1.199401   3rd Qu.:1.2846006  
##  Max.   : 1.602147   Max.   :1.8366601  
## 
## 
## $tables$Cortisol
## $tables$Cortisol$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 1.139
## 
##        x                 y            
##  Min.   : 0.5829   Min.   :5.413e-05  
##  1st Qu.: 8.5415   1st Qu.:3.530e-03  
##  Median :16.5000   Median :9.513e-03  
##  Mean   :16.5000   Mean   :3.135e-02  
##  3rd Qu.:24.4585   3rd Qu.:4.559e-02  
##  Max.   :32.4171   Max.   :1.342e-01  
## 
## $tables$Cortisol$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.095
## 
##        x                y            
##  Min.   :-3.185   Min.   :6.292e-05  
##  1st Qu.: 3.933   1st Qu.:5.135e-03  
##  Median :11.050   Median :1.130e-02  
##  Mean   :11.050   Mean   :3.506e-02  
##  3rd Qu.:18.167   3rd Qu.:6.465e-02  
##  Max.   :25.285   Max.   :1.183e-01  
## 
## 
## $tables$Creatine_Kinase_MB
## $tables$Creatine_Kinase_MB$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.02774
## 
##        x                y           
##  Min.   :-1.955   Min.   :0.002195  
##  1st Qu.:-1.810   1st Qu.:0.178288  
##  Median :-1.666   Median :0.807714  
##  Mean   :-1.666   Mean   :1.724376  
##  3rd Qu.:-1.521   3rd Qu.:3.478317  
##  Max.   :-1.376   Max.   :5.171466  
## 
## $tables$Creatine_Kinase_MB$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.02971
## 
##        x                y           
##  Min.   :-1.961   Min.   :0.000774  
##  1st Qu.:-1.794   1st Qu.:0.209347  
##  Median :-1.628   Median :0.920239  
##  Mean   :-1.628   Mean   :1.497037  
##  3rd Qu.:-1.461   3rd Qu.:2.710941  
##  Max.   :-1.294   Max.   :4.648178  
## 
## 
## $tables$Cystatin_C
## $tables$Cystatin_C$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1319
## 
##        x               y            
##  Min.   :7.037   Min.   :0.0004624  
##  1st Qu.:7.712   1st Qu.:0.0413703  
##  Median :8.387   Median :0.2488927  
##  Mean   :8.387   Mean   :0.3695760  
##  3rd Qu.:9.062   3rd Qu.:0.6297262  
##  Max.   :9.737   Max.   :1.2524724  
## 
## $tables$Cystatin_C$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1193
## 
##        x                y            
##  Min.   : 7.258   Min.   :0.0003623  
##  1st Qu.: 7.956   1st Qu.:0.0677002  
##  Median : 8.655   Median :0.2241862  
##  Mean   : 8.655   Mean   :0.3571722  
##  3rd Qu.: 9.353   3rd Qu.:0.6483143  
##  Max.   :10.052   Max.   :0.9827179  
## 
## 
## $tables$EGF_R
## $tables$EGF_R$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08218
## 
##        x                 y            
##  Min.   :-1.3578   Min.   :0.0007425  
##  1st Qu.:-0.9720   1st Qu.:0.0600108  
##  Median :-0.5862   Median :0.5140964  
##  Mean   :-0.5862   Mean   :0.6467050  
##  3rd Qu.:-0.2004   3rd Qu.:1.2028013  
##  Max.   : 0.1854   Max.   :1.7124077  
## 
## $tables$EGF_R$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07095
## 
##        x                  y            
##  Min.   :-1.57421   Min.   :0.0003276  
##  1st Qu.:-1.16130   1st Qu.:0.0531100  
##  Median :-0.74840   Median :0.4011749  
##  Mean   :-0.74840   Mean   :0.6042781  
##  3rd Qu.:-0.33550   3rd Qu.:1.1115689  
##  Max.   : 0.07741   Max.   :1.8027229  
## 
## 
## $tables$EN_RAGE
## $tables$EN_RAGE$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2748
## 
##        x                 y            
##  Min.   :-5.9404   Min.   :0.0002402  
##  1st Qu.:-4.5765   1st Qu.:0.0310972  
##  Median :-3.2127   Median :0.0838398  
##  Mean   :-3.2127   Mean   :0.1829350  
##  3rd Qu.:-1.8488   3rd Qu.:0.3608164  
##  Max.   :-0.4849   Max.   :0.5219322  
## 
## $tables$EN_RAGE$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2507
## 
##        x                 y            
##  Min.   :-9.1295   Min.   :0.0000000  
##  1st Qu.:-6.7555   1st Qu.:0.0008659  
##  Median :-4.3815   Median :0.0118944  
##  Mean   :-4.3815   Mean   :0.1051017  
##  3rd Qu.:-2.0076   3rd Qu.:0.1614620  
##  Max.   : 0.3664   Max.   :0.4752559  
## 
## 
## $tables$ENA_78
## $tables$ENA_78$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.004593
## 
##        x                y           
##  Min.   :-1.412   Min.   : 0.01553  
##  1st Qu.:-1.392   1st Qu.: 1.83256  
##  Median :-1.372   Median :10.87818  
##  Mean   :-1.372   Mean   :12.46437  
##  3rd Qu.:-1.352   3rd Qu.:20.66792  
##  Max.   :-1.332   Max.   :33.23027  
## 
## $tables$ENA_78$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.003951
## 
##        x                y           
##  Min.   :-1.417   Min.   : 0.01232  
##  1st Qu.:-1.395   1st Qu.: 1.90271  
##  Median :-1.372   Median : 6.30877  
##  Mean   :-1.372   Mean   :11.15043  
##  3rd Qu.:-1.350   3rd Qu.:21.48475  
##  Max.   :-1.328   Max.   :30.60726  
## 
## 
## $tables$Eotaxin_3
## $tables$Eotaxin_3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.556
## 
##        x                 y            
##  Min.   :  9.332   Min.   :1.337e-05  
##  1st Qu.: 37.166   1st Qu.:1.129e-03  
##  Median : 65.000   Median :5.511e-03  
##  Mean   : 65.000   Mean   :8.964e-03  
##  3rd Qu.: 92.834   3rd Qu.:1.491e-02  
##  Max.   :120.668   Max.   :2.988e-02  
## 
## $tables$Eotaxin_3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 4.684
## 
##        x                 y            
##  Min.   : -7.052   Min.   :4.901e-06  
##  1st Qu.: 22.224   1st Qu.:4.092e-04  
##  Median : 51.500   Median :4.572e-03  
##  Mean   : 51.500   Mean   :8.523e-03  
##  3rd Qu.: 80.776   3rd Qu.:1.856e-02  
##  Max.   :110.052   Max.   :2.364e-02  
## 
## 
## $tables$FAS
## $tables$FAS$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.112
## 
##        x                 y            
##  Min.   :-1.3860   Min.   :0.0005482  
##  1st Qu.:-0.8713   1st Qu.:0.0744882  
##  Median :-0.3567   Median :0.4050701  
##  Mean   :-0.3567   Mean   :0.4847868  
##  3rd Qu.: 0.1580   3rd Qu.:0.8069833  
##  Max.   : 0.6726   Max.   :1.3560508  
## 
## $tables$FAS$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08631
## 
##        x                 y            
##  Min.   :-1.7731   Min.   :0.0002668  
##  1st Qu.:-1.2412   1st Qu.:0.0228707  
##  Median :-0.7094   Median :0.3094483  
##  Mean   :-0.7094   Mean   :0.4691546  
##  3rd Qu.:-0.1776   3rd Qu.:0.8467171  
##  Max.   : 0.3542   Max.   :1.4115039  
## 
## 
## $tables$FSH_Follicle_Stimulation_Hormon
## $tables$FSH_Follicle_Stimulation_Hormon$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.168
## 
##        x                y            
##  Min.   :-2.619   Min.   :0.0003642  
##  1st Qu.:-1.814   1st Qu.:0.0437196  
##  Median :-1.009   Median :0.1807169  
##  Mean   :-1.009   Mean   :0.3099351  
##  3rd Qu.:-0.204   3rd Qu.:0.5836509  
##  Max.   : 0.601   Max.   :0.8823118  
## 
## $tables$FSH_Follicle_Stimulation_Hormon$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1266
## 
##        x                 y            
##  Min.   :-2.4537   Min.   :0.0001905  
##  1st Qu.:-1.7819   1st Qu.:0.0381262  
##  Median :-1.1101   Median :0.3300939  
##  Mean   :-1.1101   Mean   :0.3713992  
##  3rd Qu.:-0.4383   3rd Qu.:0.7256807  
##  Max.   : 0.2335   Max.   :0.8698906  
## 
## 
## $tables$Fas_Ligand
## $tables$Fas_Ligand$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3972
## 
##        x                 y            
##  Min.   :-0.9036   Min.   :0.0001532  
##  1st Qu.: 1.5284   1st Qu.:0.0075761  
##  Median : 3.9604   Median :0.0323509  
##  Mean   : 3.9604   Mean   :0.1025914  
##  3rd Qu.: 6.3924   3rd Qu.:0.1765223  
##  Max.   : 8.8244   Max.   :0.3745872  
## 
## $tables$Fas_Ligand$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3209
## 
##        x                 y            
##  Min.   :-1.1164   Min.   :0.0000717  
##  1st Qu.: 0.8362   1st Qu.:0.0099146  
##  Median : 2.7888   Median :0.0732924  
##  Mean   : 2.7888   Mean   :0.1277836  
##  3rd Qu.: 4.7414   3rd Qu.:0.2410426  
##  Max.   : 6.6940   Max.   :0.3644452  
## 
## 
## $tables$Fatty_Acid_Binding_Protein
## $tables$Fatty_Acid_Binding_Protein$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3218
## 
##        x                 y            
##  Min.   :-1.1366   Min.   :0.0001909  
##  1st Qu.: 0.3152   1st Qu.:0.0229681  
##  Median : 1.7671   Median :0.1194680  
##  Mean   : 1.7671   Mean   :0.1718472  
##  3rd Qu.: 3.2189   3rd Qu.:0.3272007  
##  Max.   : 4.6708   Max.   :0.4306972  
## 
## $tables$Fatty_Acid_Binding_Protein$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2219
## 
##        x                 y            
##  Min.   :-1.7098   Min.   :0.0001066  
##  1st Qu.:-0.3112   1st Qu.:0.0178705  
##  Median : 1.0873   Median :0.0844530  
##  Mean   : 1.0873   Mean   :0.1784060  
##  3rd Qu.: 2.4859   3rd Qu.:0.3437516  
##  Max.   : 3.8844   Max.   :0.5058790  
## 
## 
## $tables$Ferritin
## $tables$Ferritin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2804
## 
##        x                 y           
##  Min.   :0.05701   Min.   :0.000217  
##  1st Qu.:1.41138   1st Qu.:0.022078  
##  Median :2.76576   Median :0.136172  
##  Mean   :2.76576   Mean   :0.184213  
##  3rd Qu.:4.12014   3rd Qu.:0.346793  
##  Max.   :5.47452   Max.   :0.473627  
## 
## $tables$Ferritin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2345
## 
##        x                  y            
##  Min.   :-0.09576   Min.   :0.0000989  
##  1st Qu.: 1.26235   1st Qu.:0.0175433  
##  Median : 2.62046   Median :0.1093437  
##  Mean   : 2.62046   Mean   :0.1837170  
##  3rd Qu.: 3.97858   3rd Qu.:0.3541876  
##  Max.   : 5.33669   Max.   :0.4916991  
## 
## 
## $tables$Fetuin_A
## $tables$Fetuin_A$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1072
## 
##        x                y            
##  Min.   :0.2090   Min.   :0.0005703  
##  1st Qu.:0.7837   1st Qu.:0.0670041  
##  Median :1.3583   Median :0.2997970  
##  Mean   :1.3583   Mean   :0.4341721  
##  3rd Qu.:1.9330   3rd Qu.:0.6852882  
##  Max.   :2.5077   Max.   :1.3338471  
## 
## $tables$Fetuin_A$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1175
## 
##        x                y            
##  Min.   :0.1176   Min.   :0.0002735  
##  1st Qu.:0.7391   1st Qu.:0.0572785  
##  Median :1.3606   Median :0.3238185  
##  Mean   :1.3606   Mean   :0.4014570  
##  3rd Qu.:1.9821   3rd Qu.:0.7106765  
##  Max.   :2.6037   Max.   :1.0633923  
## 
## 
## $tables$Fibrinogen
## $tables$Fibrinogen$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2039
## 
##        x                y            
##  Min.   :-9.352   Min.   :0.0002994  
##  1st Qu.:-8.340   1st Qu.:0.0297491  
##  Median :-7.327   Median :0.1176966  
##  Mean   :-7.327   Mean   :0.2464541  
##  3rd Qu.:-6.315   3rd Qu.:0.4605718  
##  Max.   :-5.303   Max.   :0.7646276  
## 
## $tables$Fibrinogen$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1616
## 
##        x                y            
##  Min.   :-9.359   Min.   :0.0001768  
##  1st Qu.:-8.359   1st Qu.:0.0386225  
##  Median :-7.358   Median :0.1268076  
##  Mean   :-7.358   Mean   :0.2494747  
##  3rd Qu.:-6.358   3rd Qu.:0.4809641  
##  Max.   :-5.358   Max.   :0.7047324  
## 
## 
## $tables$GRO_alpha
## $tables$GRO_alpha$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01539
## 
##        x               y           
##  Min.   :1.263   Min.   : 0.00406  
##  1st Qu.:1.332   1st Qu.: 0.54230  
##  Median :1.402   Median : 2.71917  
##  Mean   :1.402   Mean   : 3.59086  
##  3rd Qu.:1.471   3rd Qu.: 6.17618  
##  Max.   :1.541   Max.   :10.69562  
## 
## $tables$GRO_alpha$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01113
## 
##        x               y            
##  Min.   :1.238   Min.   : 0.002945  
##  1st Qu.:1.300   1st Qu.: 0.969398  
##  Median :1.363   Median : 3.049909  
##  Mean   :1.363   Mean   : 3.994613  
##  3rd Qu.:1.425   3rd Qu.: 7.200400  
##  Max.   :1.488   Max.   :10.071952  
## 
## 
## $tables$Gamma_Interferon_induced_Monokin
## $tables$Gamma_Interferon_induced_Monokin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03894
## 
##        x               y          
##  Min.   :2.497   Min.   :0.00164  
##  1st Qu.:2.669   1st Qu.:0.17739  
##  Median :2.840   Median :1.25904  
##  Mean   :2.840   Mean   :1.45720  
##  3rd Qu.:3.011   3rd Qu.:2.70076  
##  Max.   :3.182   Max.   :3.51052  
## 
## $tables$Gamma_Interferon_induced_Monokin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.03562
## 
##        x               y           
##  Min.   :2.286   Min.   :0.000645  
##  1st Qu.:2.496   1st Qu.:0.054709  
##  Median :2.707   Median :0.799942  
##  Mean   :2.707   Mean   :1.187958  
##  3rd Qu.:2.917   3rd Qu.:2.388599  
##  Max.   :3.127   Max.   :3.377959  
## 
## 
## $tables$Glutathione_S_Transferase_alpha
## $tables$Glutathione_S_Transferase_alpha$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.04318
## 
##        x                y           
##  Min.   :0.5788   Min.   :0.001415  
##  1st Qu.:0.7883   1st Qu.:0.165684  
##  Median :0.9978   Median :0.939323  
##  Mean   :0.9978   Mean   :1.191138  
##  3rd Qu.:1.2072   3rd Qu.:2.088058  
##  Max.   :1.4167   Max.   :3.407231  
## 
## $tables$Glutathione_S_Transferase_alpha$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.05304
## 
##        x                y            
##  Min.   :0.3647   Min.   :0.0004915  
##  1st Qu.:0.6427   1st Qu.:0.1123821  
##  Median :0.9207   Median :0.8433755  
##  Mean   :0.9207   Mean   :0.8975084  
##  3rd Qu.:1.1987   3rd Qu.:1.5776261  
##  Max.   :1.4767   Max.   :2.3126760  
## 
## 
## $tables$HB_EGF
## $tables$HB_EGF$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.5734
## 
##        x                y            
##  Min.   : 2.304   Min.   :0.0001287  
##  1st Qu.: 4.704   1st Qu.:0.0175895  
##  Median : 7.105   Median :0.0948862  
##  Mean   : 7.105   Mean   :0.1039336  
##  3rd Qu.: 9.505   3rd Qu.:0.1992858  
##  Max.   :11.906   Max.   :0.2162439  
## 
## $tables$HB_EGF$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4589
## 
##        x                 y            
##  Min.   : 0.7264   Min.   :5.017e-05  
##  1st Qu.: 3.5627   1st Qu.:7.261e-03  
##  Median : 6.3991   Median :4.535e-02  
##  Mean   : 6.3991   Mean   :8.797e-02  
##  3rd Qu.: 9.2354   3rd Qu.:1.654e-01  
##  Max.   :12.0717   Max.   :2.737e-01  
## 
## 
## $tables$HCC_4
## $tables$HCC_4$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1258
## 
##        x                y            
##  Min.   :-4.513   Min.   :0.0004839  
##  1st Qu.:-3.842   1st Qu.:0.0263764  
##  Median :-3.171   Median :0.1774249  
##  Mean   :-3.171   Mean   :0.3720055  
##  3rd Qu.:-2.501   3rd Qu.:0.7266870  
##  Max.   :-1.830   Max.   :1.1547574  
## 
## $tables$HCC_4$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1143
## 
##        x                y            
##  Min.   :-4.853   Min.   :0.0002017  
##  1st Qu.:-4.084   1st Qu.:0.0155689  
##  Median :-3.315   Median :0.0898749  
##  Mean   :-3.315   Mean   :0.3244994  
##  3rd Qu.:-2.546   3rd Qu.:0.6477835  
##  Max.   :-1.777   Max.   :1.1126875  
## 
## 
## $tables$Hepatocyte_Growth_Factor_HGF
## $tables$Hepatocyte_Growth_Factor_HGF$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1039
## 
##        x                 y            
##  Min.   :-0.6264   Min.   :0.0006633  
##  1st Qu.:-0.1730   1st Qu.:0.0918928  
##  Median : 0.2804   Median :0.4436919  
##  Mean   : 0.2804   Mean   :0.5503010  
##  3rd Qu.: 0.7338   3rd Qu.:0.9880750  
##  Max.   : 1.1871   Max.   :1.3558632  
## 
## $tables$Hepatocyte_Growth_Factor_HGF$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08115
## 
##        x                 y            
##  Min.   :-0.8783   Min.   :0.0002835  
##  1st Qu.:-0.3790   1st Qu.:0.0433307  
##  Median : 0.1203   Median :0.3791272  
##  Mean   : 0.1203   Mean   :0.4996986  
##  3rd Qu.: 0.6196   3rd Qu.:0.8912429  
##  Max.   : 1.1189   Max.   :1.4189093  
## 
## 
## $tables$I_309
## $tables$I_309$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.149
## 
##        x               y            
##  Min.   :1.568   Min.   :0.0004097  
##  1st Qu.:2.323   1st Qu.:0.0398765  
##  Median :3.079   Median :0.1732399  
##  Mean   :3.079   Mean   :0.3302244  
##  3rd Qu.:3.835   3rd Qu.:0.6186079  
##  Max.   :4.590   Max.   :1.0456971  
## 
## $tables$I_309$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1101
## 
##        x               y            
##  Min.   :1.428   Min.   :0.0002567  
##  1st Qu.:2.105   1st Qu.:0.0400438  
##  Median :2.782   Median :0.1467161  
##  Mean   :2.782   Mean   :0.3683789  
##  3rd Qu.:3.460   3rd Qu.:0.7275427  
##  Max.   :4.137   Max.   :1.1784584  
## 
## 
## $tables$ICAM_1
## $tables$ICAM_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1211
## 
##        x                   y            
##  Min.   :-1.896401   Min.   :0.0005072  
##  1st Qu.:-1.262346   1st Qu.:0.0587764  
##  Median :-0.628291   Median :0.2158646  
##  Mean   :-0.628291   Mean   :0.3935033  
##  3rd Qu.: 0.005764   3rd Qu.:0.6724173  
##  Max.   : 0.639819   Max.   :1.2092518  
## 
## $tables$ICAM_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1011
## 
##        x                 y            
##  Min.   :-1.6327   Min.   :0.0002273  
##  1st Qu.:-1.0195   1st Qu.:0.0168059  
##  Median :-0.4062   Median :0.2624004  
##  Mean   :-0.4062   Mean   :0.4068459  
##  3rd Qu.: 0.2071   3rd Qu.:0.7465031  
##  Max.   : 0.8203   Max.   :1.2298554  
## 
## 
## $tables$IGF_BP_2
## $tables$IGF_BP_2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08533
## 
##        x               y            
##  Min.   :4.407   Min.   :0.0007146  
##  1st Qu.:4.857   1st Qu.:0.0626516  
##  Median :5.306   Median :0.1648390  
##  Mean   :5.306   Mean   :0.5555022  
##  3rd Qu.:5.755   3rd Qu.:1.1485396  
##  Max.   :6.204   Max.   :1.6617362  
## 
## $tables$IGF_BP_2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.05889
## 
##        x               y            
##  Min.   :4.458   Min.   :0.0004143  
##  1st Qu.:4.833   1st Qu.:0.0413745  
##  Median :5.208   Median :0.3285500  
##  Mean   :5.208   Mean   :0.6656293  
##  3rd Qu.:5.583   3rd Qu.:1.2894544  
##  Max.   :5.957   Max.   :1.9852384  
## 
## 
## $tables$IL_11
## $tables$IL_11$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.6032
## 
##        x                  y            
##  Min.   :-0.05488   Min.   :0.0001106  
##  1st Qu.: 2.34389   1st Qu.:0.0172619  
##  Median : 4.74267   Median :0.1181189  
##  Mean   : 4.74267   Mean   :0.1040099  
##  3rd Qu.: 7.14144   3rd Qu.:0.1742549  
##  Max.   : 9.54022   Max.   :0.2216186  
## 
## $tables$IL_11$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.439
## 
##        x                y            
##  Min.   :0.7144   Min.   :5.474e-05  
##  1st Qu.:2.9878   1st Qu.:1.988e-02  
##  Median :5.2611   Median :8.466e-02  
##  Mean   :5.2611   Mean   :1.097e-01  
##  3rd Qu.:7.5344   3rd Qu.:1.963e-01  
##  Max.   :9.8078   Max.   :2.834e-01  
## 
## 
## $tables$IL_13
## $tables$IL_13$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.002242
## 
##        x               y           
##  Min.   :1.258   Min.   : 0.02731  
##  1st Qu.:1.272   1st Qu.: 5.03625  
##  Median :1.286   Median :11.43960  
##  Mean   :1.286   Mean   :17.64359  
##  3rd Qu.:1.300   3rd Qu.:32.59224  
##  Max.   :1.314   Max.   :46.56970  
## 
## $tables$IL_13$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.003487
## 
##        x               y           
##  Min.   :1.249   Min.   : 0.00669  
##  1st Qu.:1.269   1st Qu.: 1.21488  
##  Median :1.290   Median : 6.43813  
##  Mean   :1.290   Mean   :12.09952  
##  3rd Qu.:1.310   3rd Qu.:24.11920  
##  Max.   :1.331   Max.   :35.41822  
## 
## 
## $tables$IL_16
## $tables$IL_16$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2471
## 
##        x                y           
##  Min.   :0.7188   Min.   :0.000256  
##  1st Qu.:1.8146   1st Qu.:0.029507  
##  Median :2.9104   Median :0.176481  
##  Mean   :2.9104   Mean   :0.227684  
##  3rd Qu.:4.0062   3rd Qu.:0.414014  
##  Max.   :5.1020   Max.   :0.560157  
## 
## $tables$IL_16$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.181
## 
##        x                y            
##  Min.   :0.6436   Min.   :0.0001291  
##  1st Qu.:1.8526   1st Qu.:0.0285524  
##  Median :3.0616   Median :0.1208888  
##  Mean   :3.0616   Mean   :0.2063733  
##  3rd Qu.:4.2706   3rd Qu.:0.3504470  
##  Max.   :5.4797   Max.   :0.6955113  
## 
## 
## $tables$IL_17E
## $tables$IL_17E$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3349
## 
##        x                y            
##  Min.   :0.7917   Min.   :0.0001834  
##  1st Qu.:2.6386   1st Qu.:0.0301897  
##  Median :4.4855   Median :0.0577842  
##  Mean   :4.4855   Mean   :0.1350901  
##  3rd Qu.:6.3324   3rd Qu.:0.2756548  
##  Max.   :8.1793   Max.   :0.3979849  
## 
## $tables$IL_17E$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3705
## 
##        x                  y            
##  Min.   :-0.05917   Min.   :6.299e-05  
##  1st Qu.: 2.47145   1st Qu.:1.476e-02  
##  Median : 5.00207   Median :5.715e-02  
##  Mean   : 5.00207   Mean   :9.860e-02  
##  3rd Qu.: 7.53269   3rd Qu.:1.703e-01  
##  Max.   :10.06331   Max.   :2.945e-01  
## 
## 
## $tables$IL_1alpha
## $tables$IL_1alpha$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1388
## 
##        x                y            
##  Min.   :-8.597   Min.   :0.0004376  
##  1st Qu.:-7.832   1st Qu.:0.0345254  
##  Median :-7.066   Median :0.1788847  
##  Mean   :-7.066   Mean   :0.3260198  
##  3rd Qu.:-6.301   3rd Qu.:0.6208007  
##  Max.   :-5.536   Max.   :0.9958831  
## 
## $tables$IL_1alpha$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1167
## 
##        x                y            
##  Min.   :-8.867   Min.   :0.0001982  
##  1st Qu.:-8.206   1st Qu.:0.0414531  
##  Median :-7.544   Median :0.2438771  
##  Mean   :-7.544   Mean   :0.3771454  
##  3rd Qu.:-6.883   3rd Qu.:0.7624463  
##  Max.   :-6.221   Max.   :1.0536107  
## 
## 
## $tables$IL_3
## $tables$IL_3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1651
## 
##        x                y            
##  Min.   :-5.968   Min.   :0.0003701  
##  1st Qu.:-5.051   1st Qu.:0.0310334  
##  Median :-4.135   Median :0.1617798  
##  Mean   :-4.135   Mean   :0.2722019  
##  3rd Qu.:-3.218   3rd Qu.:0.4902163  
##  Max.   :-2.302   Max.   :0.8258531  
## 
## $tables$IL_3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.144
## 
##        x                y            
##  Min.   :-6.347   Min.   :0.0001594  
##  1st Qu.:-5.265   1st Qu.:0.0094213  
##  Median :-4.184   Median :0.0892511  
##  Mean   :-4.184   Mean   :0.2307400  
##  3rd Qu.:-3.103   3rd Qu.:0.4004701  
##  Max.   :-2.021   Max.   :0.9027170  
## 
## 
## $tables$IL_4
## $tables$IL_4$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.172
## 
##        x                 y            
##  Min.   :0.01472   Min.   :0.0003873  
##  1st Qu.:0.90115   1st Qu.:0.0719530  
##  Median :1.78757   Median :0.1343204  
##  Mean   :1.78757   Mean   :0.2814638  
##  3rd Qu.:2.67400   3rd Qu.:0.5254313  
##  Max.   :3.56043   Max.   :0.8240657  
## 
## $tables$IL_4$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1575
## 
##        x                y            
##  Min.   :0.1154   Min.   :0.0003474  
##  1st Qu.:0.9536   1st Qu.:0.0533702  
##  Median :1.7918   Median :0.2212501  
##  Mean   :1.7918   Mean   :0.2976649  
##  3rd Qu.:2.6300   3rd Qu.:0.5425714  
##  Max.   :3.4681   Max.   :0.7475527  
## 
## 
## $tables$IL_5
## $tables$IL_5$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1651
## 
##        x                  y            
##  Min.   :-1.54514   Min.   :0.0003698  
##  1st Qu.:-0.74424   1st Qu.:0.0354536  
##  Median : 0.05666   Median :0.2057826  
##  Mean   : 0.05666   Mean   :0.3115260  
##  3rd Qu.: 0.85757   3rd Qu.:0.5661752  
##  Max.   : 1.65847   Max.   :0.8652026  
## 
## $tables$IL_5$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1448
## 
##        x                 y            
##  Min.   :-1.8615   Min.   :0.0001585  
##  1st Qu.:-0.8011   1st Qu.:0.0108436  
##  Median : 0.2594   Median :0.0627640  
##  Mean   : 0.2594   Mean   :0.2352824  
##  3rd Qu.: 1.3199   3rd Qu.:0.4393679  
##  Max.   : 2.3803   Max.   :0.8374625  
## 
## 
## $tables$IL_6
## $tables$IL_6$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1704
## 
##        x                 y            
##  Min.   :-1.9629   Min.   :0.0003585  
##  1st Qu.:-0.8909   1st Qu.:0.0432806  
##  Median : 0.1811   Median :0.1086902  
##  Mean   : 0.1811   Mean   :0.2327501  
##  3rd Qu.: 1.2530   3rd Qu.:0.3660240  
##  Max.   : 2.3250   Max.   :0.9421109  
## 
## $tables$IL_6$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1184
## 
##        x                 y            
##  Min.   :-1.8894   Min.   :0.0002611  
##  1st Qu.:-1.0009   1st Qu.:0.0582977  
##  Median :-0.1124   Median :0.1535081  
##  Mean   :-0.1124   Mean   :0.2808061  
##  3rd Qu.: 0.7762   3rd Qu.:0.4333115  
##  Max.   : 1.6647   Max.   :0.9325732  
## 
## 
## $tables$IL_6_Receptor
## $tables$IL_6_Receptor$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1073
## 
##        x                  y            
##  Min.   :-0.99740   Min.   :0.0005697  
##  1st Qu.:-0.45986   1st Qu.:0.0729806  
##  Median : 0.07769   Median :0.2991714  
##  Mean   : 0.07769   Mean   :0.4641447  
##  3rd Qu.: 0.61523   3rd Qu.:0.8854582  
##  Max.   : 1.15278   Max.   :1.2151938  
## 
## $tables$IL_6_Receptor$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1004
## 
##        x                  y           
##  Min.   :-0.94324   Min.   :0.000564  
##  1st Qu.:-0.45521   1st Qu.:0.106348  
##  Median : 0.03281   Median :0.501084  
##  Mean   : 0.03281   Mean   :0.511250  
##  3rd Qu.: 0.52084   3rd Qu.:0.927191  
##  Max.   : 1.00887   Max.   :1.082565  
## 
## 
## $tables$IL_7
## $tables$IL_7$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4111
## 
##        x                 y            
##  Min.   :-0.6736   Min.   :0.0004557  
##  1st Qu.: 0.9327   1st Qu.:0.0442524  
##  Median : 2.5390   Median :0.1448168  
##  Mean   : 2.5390   Mean   :0.1553058  
##  3rd Qu.: 4.1454   3rd Qu.:0.2582007  
##  Max.   : 5.7517   Max.   :0.3416548  
## 
## $tables$IL_7$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3193
## 
##        x                y            
##  Min.   :-0.273   Min.   :0.0000734  
##  1st Qu.: 1.461   1st Qu.:0.0170904  
##  Median : 3.195   Median :0.0965725  
##  Mean   : 3.195   Mean   :0.1438786  
##  3rd Qu.: 4.929   3rd Qu.:0.2850512  
##  Max.   : 6.664   Max.   :0.3481015  
## 
## 
## $tables$IL_8
## $tables$IL_8$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01351
## 
##        x               y            
##  Min.   :1.567   Min.   : 0.004518  
##  1st Qu.:1.637   1st Qu.: 0.483051  
##  Median :1.707   Median : 1.878064  
##  Mean   :1.707   Mean   : 3.565088  
##  3rd Qu.:1.777   3rd Qu.: 6.302757  
##  Max.   :1.847   Max.   :10.732067  
## 
## $tables$IL_8$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0109
## 
##        x               y           
##  Min.   :1.541   Min.   : 0.00211  
##  1st Qu.:1.607   1st Qu.: 0.23979  
##  Median :1.674   Median : 2.00436  
##  Mean   :1.674   Mean   : 3.76132  
##  3rd Qu.:1.740   3rd Qu.: 7.23914  
##  Max.   :1.806   Max.   :11.18418  
## 
## 
## $tables$IP_10_Inducible_Protein_10
## $tables$IP_10_Inducible_Protein_10$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1863
## 
##        x               y            
##  Min.   :4.142   Min.   :0.0004185  
##  1st Qu.:4.966   1st Qu.:0.0475262  
##  Median :5.790   Median :0.2376800  
##  Mean   :5.790   Mean   :0.3027442  
##  3rd Qu.:6.614   3rd Qu.:0.5357255  
##  Max.   :7.438   Max.   :0.7587120  
## 
## $tables$IP_10_Inducible_Protein_10$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1494
## 
##        x               y            
##  Min.   :3.869   Min.   :0.0001646  
##  1st Qu.:4.889   1st Qu.:0.0185718  
##  Median :5.909   Median :0.0913245  
##  Mean   :5.909   Mean   :0.2446043  
##  3rd Qu.:6.929   3rd Qu.:0.5129381  
##  Max.   :7.949   Max.   :0.7715558  
## 
## 
## $tables$IgA
## $tables$IgA$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2723
## 
##        x                y           
##  Min.   :-8.616   Min.   :0.000224  
##  1st Qu.:-7.325   1st Qu.:0.018891  
##  Median :-6.034   Median :0.131555  
##  Mean   :-6.034   Mean   :0.193252  
##  3rd Qu.:-4.743   3rd Qu.:0.394834  
##  Max.   :-3.452   Max.   :0.502000  
## 
## $tables$IgA$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2182
## 
##        x                 y           
##  Min.   :-11.174   Min.   :0.000000  
##  1st Qu.: -9.267   1st Qu.:0.001335  
##  Median : -7.360   Median :0.019659  
##  Mean   : -7.360   Mean   :0.130822  
##  3rd Qu.: -5.452   3rd Qu.:0.241560  
##  Max.   : -3.545   Max.   :0.560047  
## 
## 
## $tables$Insulin
## $tables$Insulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1036
## 
##        x                 y            
##  Min.   :-2.4800   Min.   :0.0005896  
##  1st Qu.:-1.8574   1st Qu.:0.0556466  
##  Median :-1.2347   Median :0.3262143  
##  Mean   :-1.2347   Mean   :0.4007316  
##  3rd Qu.:-0.6121   3rd Qu.:0.5620447  
##  Max.   : 0.0105   Max.   :1.2933792  
## 
## $tables$Insulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08799
## 
##        x                 y            
##  Min.   :-2.4331   Min.   :0.0002803  
##  1st Qu.:-1.7985   1st Qu.:0.0595975  
##  Median :-1.1639   Median :0.1891544  
##  Mean   :-1.1639   Mean   :0.3931588  
##  3rd Qu.:-0.5293   3rd Qu.:0.6684592  
##  Max.   : 0.1053   Max.   :1.4066919  
## 
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1
## $tables$Kidney_Injury_Molecule_1_KIM_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.00858
## 
##        x                y            
##  Min.   :-1.257   Min.   : 0.007559  
##  1st Qu.:-1.218   1st Qu.: 0.913827  
##  Median :-1.178   Median : 3.938927  
##  Mean   :-1.178   Mean   : 6.270026  
##  3rd Qu.:-1.138   3rd Qu.:11.635131  
##  Max.   :-1.098   Max.   :16.890980  
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.009108
## 
##        x                y            
##  Min.   :-1.283   Min.   : 0.003825  
##  1st Qu.:-1.232   1st Qu.: 0.593889  
##  Median :-1.180   Median : 2.994047  
##  Mean   :-1.180   Mean   : 4.856747  
##  3rd Qu.:-1.129   3rd Qu.:10.109607  
##  Max.   :-1.077   Max.   :12.453354  
## 
## 
## $tables$LOX_1
## $tables$LOX_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1414
## 
##        x                 y            
##  Min.   :-0.1617   Min.   :0.0005097  
##  1st Qu.: 0.5077   1st Qu.:0.0657787  
##  Median : 1.1771   Median :0.2904380  
##  Mean   : 1.1771   Mean   :0.3727120  
##  3rd Qu.: 1.8465   3rd Qu.:0.6062986  
##  Max.   : 2.5160   Max.   :1.0698854  
## 
## $tables$LOX_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1163
## 
##        x                 y            
##  Min.   :-0.3488   Min.   :0.0001975  
##  1st Qu.: 0.3936   1st Qu.:0.0208446  
##  Median : 1.1361   Median :0.1972421  
##  Mean   : 1.1361   Mean   :0.3360700  
##  3rd Qu.: 1.8785   3rd Qu.:0.5647319  
##  Max.   : 2.6209   Max.   :1.0566625  
## 
## 
## $tables$Leptin
## $tables$Leptin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1027
## 
##        x                 y            
##  Min.   :-2.3820   Min.   :0.0005944  
##  1st Qu.:-1.8724   1st Qu.:0.0348112  
##  Median :-1.3627   Median :0.3292070  
##  Mean   :-1.3627   Mean   :0.4895453  
##  3rd Qu.:-0.8531   3rd Qu.:0.9544008  
##  Max.   :-0.3435   Max.   :1.4096912  
## 
## $tables$Leptin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08537
## 
##        x                 y            
##  Min.   :-2.4030   Min.   :0.0002687  
##  1st Qu.:-1.8933   1st Qu.:0.0265217  
##  Median :-1.3837   Median :0.2659151  
##  Mean   :-1.3837   Mean   :0.4895986  
##  3rd Qu.:-0.8741   3rd Qu.:1.0127026  
##  Max.   :-0.3645   Max.   :1.3460258  
## 
## 
## $tables$Lipoprotein_a
## $tables$Lipoprotein_a$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4463
## 
##        x                  y            
##  Min.   :-7.50460   Min.   :0.0001371  
##  1st Qu.:-5.64033   1st Qu.:0.0177566  
##  Median :-3.77606   Median :0.1233259  
##  Mean   :-3.77606   Mean   :0.1338291  
##  3rd Qu.:-1.91178   3rd Qu.:0.2470479  
##  Max.   :-0.04751   Max.   :0.3009930  
## 
## $tables$Lipoprotein_a$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3384
## 
##        x                y            
##  Min.   :-7.828   Min.   :0.0000707  
##  1st Qu.:-5.974   1st Qu.:0.0130355  
##  Median :-4.120   Median :0.1008437  
##  Mean   :-4.120   Mean   :0.1345872  
##  3rd Qu.:-2.266   3rd Qu.:0.2397932  
##  Max.   :-0.412   Max.   :0.3526708  
## 
## 
## $tables$MCP_1
## $tables$MCP_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08204
## 
##        x               y           
##  Min.   :5.580   Min.   :0.000742  
##  1st Qu.:6.023   1st Qu.:0.076306  
##  Median :6.466   Median :0.334402  
##  Mean   :6.466   Mean   :0.562949  
##  3rd Qu.:6.910   3rd Qu.:0.983386  
##  Max.   :7.353   Max.   :1.659696  
## 
## $tables$MCP_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08365
## 
##        x               y            
##  Min.   :5.575   Min.   :0.0002833  
##  1st Qu.:6.051   1st Qu.:0.0503598  
##  Median :6.528   Median :0.3496635  
##  Mean   :6.528   Mean   :0.5236990  
##  3rd Qu.:7.004   3rd Qu.:1.0131174  
##  Max.   :7.481   Max.   :1.4058374  
## 
## 
## $tables$MCP_2
## $tables$MCP_2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.258
## 
##        x                 y            
##  Min.   :-0.3735   Min.   :0.0002363  
##  1st Qu.: 0.9194   1st Qu.:0.0270400  
##  Median : 2.2122   Median :0.0879011  
##  Mean   : 2.2122   Mean   :0.1929878  
##  3rd Qu.: 3.5050   3rd Qu.:0.3588776  
##  Max.   : 4.7978   Max.   :0.6183413  
## 
## $tables$MCP_2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1411
## 
##        x                  y            
##  Min.   :-0.02269   Min.   :0.0001634  
##  1st Qu.: 1.09474   1st Qu.:0.0145562  
##  Median : 2.21217   Median :0.1157047  
##  Mean   : 2.21217   Mean   :0.2232678  
##  3rd Qu.: 3.32960   3rd Qu.:0.3212348  
##  Max.   : 4.44703   Max.   :0.8582897  
## 
## 
## $tables$MIF
## $tables$MIF$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1116
## 
##        x                 y            
##  Min.   :-2.7318   Min.   :0.0005472  
##  1st Qu.:-2.1761   1st Qu.:0.0505520  
##  Median :-1.6204   Median :0.1858068  
##  Mean   :-1.6204   Mean   :0.4490134  
##  3rd Qu.:-1.0648   3rd Qu.:0.9965195  
##  Max.   :-0.5091   Max.   :1.1763069  
## 
## $tables$MIF$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09496
## 
##        x                 y            
##  Min.   :-3.1322   Min.   :0.0002408  
##  1st Qu.:-2.5133   1st Qu.:0.0326868  
##  Median :-1.8945   Median :0.2730891  
##  Mean   :-1.8945   Mean   :0.4031727  
##  3rd Qu.:-1.2756   3rd Qu.:0.7351494  
##  Max.   :-0.6567   Max.   :1.2561687  
## 
## 
## $tables$MIP_1alpha
## $tables$MIP_1alpha$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2821
## 
##        x               y           
##  Min.   :1.541   Min.   :0.000224  
##  1st Qu.:2.893   1st Qu.:0.035600  
##  Median :4.244   Median :0.136544  
##  Mean   :4.244   Mean   :0.184656  
##  3rd Qu.:5.595   3rd Qu.:0.299992  
##  Max.   :6.946   Max.   :0.496062  
## 
## $tables$MIP_1alpha$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3311
## 
##        x                  y            
##  Min.   :-0.05885   Min.   :0.0000694  
##  1st Qu.: 1.90320   1st Qu.:0.0071115  
##  Median : 3.86525   Median :0.0755098  
##  Mean   : 3.86525   Mean   :0.1271673  
##  3rd Qu.: 5.82730   3rd Qu.:0.2387466  
##  Max.   : 7.78935   Max.   :0.3768545  
## 
## 
## $tables$MIP_1beta
## $tables$MIP_1beta$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1583
## 
##        x               y            
##  Min.   :1.499   Min.   :0.0004186  
##  1st Qu.:2.245   1st Qu.:0.0514581  
##  Median :2.991   Median :0.1742610  
##  Mean   :2.991   Mean   :0.3345874  
##  3rd Qu.:3.736   3rd Qu.:0.6730393  
##  Max.   :4.482   Max.   :0.9441952  
## 
## $tables$MIP_1beta$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1009
## 
##        x               y            
##  Min.   :1.643   Min.   :0.0002509  
##  1st Qu.:2.243   1st Qu.:0.0794863  
##  Median :2.842   Median :0.3245179  
##  Mean   :2.842   Mean   :0.4163525  
##  3rd Qu.:3.441   3rd Qu.:0.6656659  
##  Max.   :4.040   Max.   :1.2432633  
## 
## 
## $tables$MMP_2
## $tables$MMP_2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2979
## 
##        x                 y            
##  Min.   :-0.1107   Min.   :0.0002067  
##  1st Qu.: 1.4801   1st Qu.:0.0257066  
##  Median : 3.0710   Median :0.0676057  
##  Mean   : 3.0710   Mean   :0.1568382  
##  3rd Qu.: 4.6618   3rd Qu.:0.3046056  
##  Max.   : 6.2526   Max.   :0.4967223  
## 
## $tables$MMP_2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2855
## 
##        x                 y            
##  Min.   :-0.7584   Min.   :0.0000807  
##  1st Qu.: 0.8574   1st Qu.:0.0232143  
##  Median : 2.4732   Median :0.1037683  
##  Mean   : 2.4732   Mean   :0.1544139  
##  3rd Qu.: 4.0890   3rd Qu.:0.2931617  
##  Max.   : 5.7048   Max.   :0.4099751  
## 
## 
## $tables$MMP_3
## $tables$MMP_3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1763
## 
##        x                   y            
##  Min.   :-4.345539   Min.   :0.0003472  
##  1st Qu.:-3.258856   1st Qu.:0.0319547  
##  Median :-2.172173   Median :0.1425696  
##  Mean   :-2.172173   Mean   :0.2296006  
##  3rd Qu.:-1.085490   3rd Qu.:0.3262705  
##  Max.   : 0.001193   Max.   :0.7708525  
## 
## $tables$MMP_3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1614
## 
##        x                 y            
##  Min.   :-4.9069   Min.   :0.0001477  
##  1st Qu.:-3.8440   1st Qu.:0.0202014  
##  Median :-2.7811   Median :0.1192796  
##  Mean   :-2.7811   Mean   :0.2347424  
##  3rd Qu.:-1.7182   3rd Qu.:0.4079722  
##  Max.   :-0.6553   Max.   :0.7543996  
## 
## 
## $tables$MMP10
## $tables$MMP10$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                y            
##  Min.   :-5.343   Min.   :0.0004474  
##  1st Qu.:-4.457   1st Qu.:0.0326114  
##  Median :-3.570   Median :0.1316350  
##  Mean   :-3.570   Mean   :0.2814658  
##  3rd Qu.:-2.684   3rd Qu.:0.4407209  
##  Max.   :-1.798   Max.   :1.1131115  
## 
## $tables$MMP10$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1146
## 
##        x                y            
##  Min.   :-5.011   Min.   :0.0002376  
##  1st Qu.:-4.313   1st Qu.:0.0639220  
##  Median :-3.615   Median :0.1883134  
##  Mean   :-3.615   Mean   :0.3575896  
##  3rd Qu.:-2.918   3rd Qu.:0.7256202  
##  Max.   :-2.220   Max.   :0.9695254  
## 
## 
## $tables$MMP7
## $tables$MMP7$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4298
## 
##        x                 y            
##  Min.   :-7.8961   Min.   :0.0001877  
##  1st Qu.:-5.7017   1st Qu.:0.0296373  
##  Median :-3.5072   Median :0.0703373  
##  Mean   :-3.5072   Mean   :0.1136922  
##  3rd Qu.:-1.3127   3rd Qu.:0.2118599  
##  Max.   : 0.8818   Max.   :0.3283795  
## 
## $tables$MMP7$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4545
## 
##        x                y            
##  Min.   :-9.761   Min.   :5.049e-05  
##  1st Qu.:-7.035   1st Qu.:7.595e-03  
##  Median :-4.310   Median :7.733e-02  
##  Mean   :-4.310   Mean   :9.155e-02  
##  3rd Qu.:-1.584   3rd Qu.:1.513e-01  
##  Max.   : 1.141   Max.   :2.707e-01  
## 
## 
## $tables$Myoglobin
## $tables$Myoglobin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2835
## 
##        x                 y            
##  Min.   :-4.0204   Min.   :0.0002152  
##  1st Qu.:-2.3811   1st Qu.:0.0147224  
##  Median :-0.7418   Median :0.0570112  
##  Mean   :-0.7418   Mean   :0.1522008  
##  3rd Qu.: 0.8975   3rd Qu.:0.2850424  
##  Max.   : 2.5368   Max.   :0.5053032  
## 
## $tables$Myoglobin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3043
## 
##        x                 y            
##  Min.   :-4.0364   Min.   :0.0001409  
##  1st Qu.:-2.3554   1st Qu.:0.0246330  
##  Median :-0.6743   Median :0.0899004  
##  Mean   :-0.6743   Mean   :0.1484212  
##  3rd Qu.: 1.0068   3rd Qu.:0.2871095  
##  Max.   : 2.6878   Max.   :0.4047269  
## 
## 
## $tables$NT_proBNP
## $tables$NT_proBNP$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1278
## 
##        x               y            
##  Min.   :3.488   Min.   :0.0004799  
##  1st Qu.:4.183   1st Qu.:0.0472861  
##  Median :4.879   Median :0.1644620  
##  Mean   :4.879   Mean   :0.3587442  
##  3rd Qu.:5.574   3rd Qu.:0.6206068  
##  Max.   :6.270   Max.   :1.2352851  
## 
## $tables$NT_proBNP$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09443
## 
##        x               y            
##  Min.   :2.895   Min.   :0.0002446  
##  1st Qu.:3.609   1st Qu.:0.0257804  
##  Median :4.323   Median :0.1530335  
##  Mean   :4.323   Mean   :0.3493812  
##  3rd Qu.:5.037   3rd Qu.:0.5785926  
##  Max.   :5.751   Max.   :1.3532174  
## 
## 
## $tables$NrCAM
## $tables$NrCAM$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1993
## 
##        x               y            
##  Min.   :2.447   Min.   :0.0003088  
##  1st Qu.:3.371   1st Qu.:0.0293514  
##  Median :4.295   Median :0.1833253  
##  Mean   :4.295   Mean   :0.2700011  
##  3rd Qu.:5.219   3rd Qu.:0.5204525  
##  Max.   :6.143   Max.   :0.7102494  
## 
## $tables$NrCAM$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1695
## 
##        x               y            
##  Min.   :2.131   Min.   :0.0001359  
##  1st Qu.:3.228   1st Qu.:0.0240669  
##  Median :4.325   Median :0.0997709  
##  Mean   :4.325   Mean   :0.2273790  
##  3rd Qu.:5.422   3rd Qu.:0.4389008  
##  Max.   :6.520   Max.   :0.6934392  
## 
## 
## $tables$Osteopontin
## $tables$Osteopontin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1546
## 
##        x               y            
##  Min.   :3.647   Min.   :0.0003974  
##  1st Qu.:4.427   1st Qu.:0.0424181  
##  Median :5.208   Median :0.1382530  
##  Mean   :5.208   Mean   :0.3197770  
##  3rd Qu.:5.988   3rd Qu.:0.6681657  
##  Max.   :6.768   Max.   :0.9236408  
## 
## $tables$Osteopontin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.104
## 
##        x               y            
##  Min.   :3.922   Min.   :0.0002219  
##  1st Qu.:4.597   1st Qu.:0.0539899  
##  Median :5.271   Median :0.2050811  
##  Mean   :5.271   Mean   :0.3698778  
##  3rd Qu.:5.946   3rd Qu.:0.6549779  
##  Max.   :6.620   Max.   :1.1054060  
## 
## 
## $tables$PAI_1
## $tables$PAI_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1684
## 
##        x                 y            
##  Min.   :-1.3796   Min.   :0.0003683  
##  1st Qu.:-0.6169   1st Qu.:0.0433878  
##  Median : 0.1458   Median :0.2047515  
##  Mean   : 0.1458   Mean   :0.3271269  
##  3rd Qu.: 0.9085   3rd Qu.:0.6651820  
##  Max.   : 1.6713   Max.   :0.7845451  
## 
## $tables$PAI_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1155
## 
##        x                   y            
##  Min.   :-1.337358   Min.   :0.0002009  
##  1st Qu.:-0.665516   1st Qu.:0.0465423  
##  Median : 0.006326   Median :0.2552360  
##  Mean   : 0.006326   Mean   :0.3713764  
##  3rd Qu.: 0.678169   3rd Qu.:0.6258449  
##  Max.   : 1.350011   Max.   :1.0998865  
## 
## 
## $tables$PAPP_A
## $tables$PAPP_A$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.05245
## 
##        x                y           
##  Min.   :-3.293   Min.   :0.001188  
##  1st Qu.:-3.061   1st Qu.:0.113929  
##  Median :-2.828   Median :0.889823  
##  Mean   :-2.828   Mean   :1.072688  
##  3rd Qu.:-2.596   3rd Qu.:2.082858  
##  Max.   :-2.363   Max.   :2.356567  
## 
## $tables$PAPP_A$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.04084
## 
##        x                y            
##  Min.   :-3.433   Min.   :0.0005607  
##  1st Qu.:-3.183   1st Qu.:0.0520481  
##  Median :-2.933   Median :0.7298864  
##  Mean   :-2.933   Mean   :0.9964225  
##  3rd Qu.:-2.682   3rd Qu.:1.6209822  
##  Max.   :-2.432   Max.   :2.9240586  
## 
## 
## $tables$PLGF
## $tables$PLGF$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1622
## 
##        x               y            
##  Min.   :1.998   Min.   :0.0003764  
##  1st Qu.:2.831   1st Qu.:0.0253091  
##  Median :3.665   Median :0.1725115  
##  Mean   :3.665   Mean   :0.2994872  
##  3rd Qu.:4.498   3rd Qu.:0.5687072  
##  Max.   :5.331   Max.   :0.8938577  
## 
## $tables$PLGF$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1243
## 
##        x               y            
##  Min.   :2.571   Min.   :0.0001842  
##  1st Qu.:3.314   1st Qu.:0.0166082  
##  Median :4.057   Median :0.1947426  
##  Mean   :4.057   Mean   :0.3357975  
##  3rd Qu.:4.800   3rd Qu.:0.6666717  
##  Max.   :5.544   Max.   :0.9763553  
## 
## 
## $tables$PYY
## $tables$PYY$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.0982
## 
##        x               y            
##  Min.   :1.891   Min.   :0.0006209  
##  1st Qu.:2.455   1st Qu.:0.0587541  
##  Median :3.018   Median :0.1984700  
##  Mean   :3.018   Mean   :0.4429175  
##  3rd Qu.:3.581   3rd Qu.:0.8168789  
##  Max.   :4.145   Max.   :1.3349109  
## 
## $tables$PYY$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08076
## 
##        x               y            
##  Min.   :2.060   Min.   :0.0002856  
##  1st Qu.:2.589   1st Qu.:0.0599018  
##  Median :3.117   Median :0.2060174  
##  Mean   :3.117   Mean   :0.4721514  
##  3rd Qu.:3.646   3rd Qu.:0.8992958  
##  Max.   :4.174   Max.   :1.4111804  
## 
## 
## $tables$Pancreatic_polypeptide
## $tables$Pancreatic_polypeptide$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2937
## 
##        x                 y            
##  Min.   :-2.1541   Min.   :0.0004183  
##  1st Qu.:-0.9124   1st Qu.:0.0345638  
##  Median : 0.3293   Median :0.1788613  
##  Mean   : 0.3293   Mean   :0.2009313  
##  3rd Qu.: 1.5710   3rd Qu.:0.3209413  
##  Max.   : 2.8126   Max.   :0.5212213  
## 
## $tables$Pancreatic_polypeptide$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2106
## 
##        x                 y            
##  Min.   :-2.7520   Min.   :0.0001181  
##  1st Qu.:-1.4939   1st Qu.:0.0177924  
##  Median :-0.2358   Median :0.1181308  
##  Mean   :-0.2358   Mean   :0.1983245  
##  3rd Qu.: 1.0223   3rd Qu.:0.3748847  
##  Max.   : 2.2803   Max.   :0.5971506  
## 
## 
## $tables$Prolactin
## $tables$Prolactin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.07877
## 
##        x                 y            
##  Min.   :-0.7144   Min.   :0.0007755  
##  1st Qu.:-0.2476   1st Qu.:0.0768896  
##  Median : 0.2191   Median :0.1472789  
##  Mean   : 0.2191   Mean   :0.5345546  
##  3rd Qu.: 0.6859   3rd Qu.:1.1801963  
##  Max.   : 1.1526   Max.   :1.5625205  
## 
## $tables$Prolactin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09625
## 
##        x                 y            
##  Min.   :-1.5981   Min.   :0.0002389  
##  1st Qu.:-0.8781   1st Qu.:0.0135700  
##  Median :-0.1580   Median :0.0820399  
##  Mean   :-0.1580   Mean   :0.3465262  
##  3rd Qu.: 0.5620   3rd Qu.:0.5938191  
##  Max.   : 1.2820   Max.   :1.3499959  
## 
## 
## $tables$Prostatic_Acid_Phosphatase
## $tables$Prostatic_Acid_Phosphatase$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01973
## 
##        x                y          
##  Min.   :-1.831   Min.   :0.00309  
##  1st Qu.:-1.715   1st Qu.:0.25083  
##  Median :-1.598   Median :0.80225  
##  Mean   :-1.598   Mean   :2.13904  
##  3rd Qu.:-1.481   3rd Qu.:3.67872  
##  Max.   :-1.365   Max.   :7.86067  
## 
## $tables$Prostatic_Acid_Phosphatase$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01622
## 
##        x                y           
##  Min.   :-1.982   Min.   :0.001418  
##  1st Qu.:-1.862   1st Qu.:0.079463  
##  Median :-1.741   Median :0.743960  
##  Mean   :-1.741   Mean   :2.067727  
##  3rd Qu.:-1.620   3rd Qu.:3.445326  
##  Max.   :-1.500   Max.   :8.158095  
## 
## 
## $tables$Protein_S
## $tables$Protein_S$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.132
## 
##        x                 y            
##  Min.   :-3.3850   Min.   :0.0006362  
##  1st Qu.:-2.7450   1st Qu.:0.0736674  
##  Median :-2.1050   Median :0.2180317  
##  Mean   :-2.1050   Mean   :0.3898316  
##  3rd Qu.:-1.4650   3rd Qu.:0.7054700  
##  Max.   :-0.8249   Max.   :1.1810831  
## 
## $tables$Protein_S$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08967
## 
##        x                y           
##  Min.   :-3.607   Min.   :0.000257  
##  1st Qu.:-2.954   1st Qu.:0.046951  
##  Median :-2.300   Median :0.164772  
##  Mean   :-2.300   Mean   :0.381793  
##  3rd Qu.:-1.647   3rd Qu.:0.696743  
##  Max.   :-0.993   Max.   :1.360841  
## 
## 
## $tables$Pulmonary_and_Activation_Regulat
## $tables$Pulmonary_and_Activation_Regulat$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1511
## 
##        x                  y            
##  Min.   :-2.75588   Min.   :0.0004523  
##  1st Qu.:-2.08129   1st Qu.:0.0628626  
##  Median :-1.40671   Median :0.2968929  
##  Mean   :-1.40671   Mean   :0.3698564  
##  3rd Qu.:-0.73212   3rd Qu.:0.6547507  
##  Max.   :-0.05753   Max.   :0.8981923  
## 
## $tables$Pulmonary_and_Activation_Regulat$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1424
## 
##        x                 y            
##  Min.   :-2.9405   Min.   :0.0002526  
##  1st Qu.:-2.1672   1st Qu.:0.0460465  
##  Median :-1.3939   Median :0.2339307  
##  Mean   :-1.3939   Mean   :0.3226469  
##  3rd Qu.:-0.6206   3rd Qu.:0.5587706  
##  Max.   : 0.1527   Max.   :0.8758486  
## 
## 
## $tables$RANTES
## $tables$RANTES$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1081
## 
##        x                y            
##  Min.   :-7.480   Min.   :0.0005643  
##  1st Qu.:-6.916   1st Qu.:0.0511756  
##  Median :-6.351   Median :0.2527197  
##  Mean   :-6.351   Mean   :0.4420157  
##  3rd Qu.:-5.787   3rd Qu.:0.7591550  
##  Max.   :-5.223   Max.   :1.3900569  
## 
## $tables$RANTES$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1023
## 
##        x                y            
##  Min.   :-7.529   Min.   :0.0002644  
##  1st Qu.:-6.964   1st Qu.:0.0544525  
##  Median :-6.398   Median :0.2593930  
##  Mean   :-6.398   Mean   :0.4408864  
##  3rd Qu.:-5.832   3rd Qu.:0.8938454  
##  Max.   :-5.266   Max.   :1.0887745  
## 
## 
## $tables$Resistin
## $tables$Resistin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 2.203
## 
##        x                 y            
##  Min.   :-41.576   Min.   :2.761e-05  
##  1st Qu.:-30.090   1st Qu.:2.149e-03  
##  Median :-18.603   Median :1.134e-02  
##  Mean   :-18.603   Mean   :2.172e-02  
##  3rd Qu.: -7.116   3rd Qu.:4.033e-02  
##  Max.   :  4.370   Max.   :7.083e-02  
## 
## $tables$Resistin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.737
## 
##        x                 y            
##  Min.   :-37.350   Min.   :1.384e-05  
##  1st Qu.:-27.539   1st Qu.:2.849e-03  
##  Median :-17.728   Median :1.740e-02  
##  Mean   :-17.728   Mean   :2.543e-02  
##  3rd Qu.: -7.917   3rd Qu.:4.768e-02  
##  Max.   :  1.895   Max.   :6.878e-02  
## 
## 
## $tables$S100b
## $tables$S100b$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1279
## 
##        x                y            
##  Min.   :0.1209   Min.   :0.0004874  
##  1st Qu.:0.6790   1st Qu.:0.0631170  
##  Median :1.2371   Median :0.3857408  
##  Mean   :1.2371   Mean   :0.4470420  
##  3rd Qu.:1.7952   3rd Qu.:0.8295527  
##  Max.   :2.3533   Max.   :1.0532003  
## 
## $tables$S100b$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1065
## 
##        x                 y           
##  Min.   :-0.1322   Min.   :0.000216  
##  1st Qu.: 0.5739   1st Qu.:0.016795  
##  Median : 1.2800   Median :0.151859  
##  Mean   : 1.2800   Mean   :0.353361  
##  3rd Qu.: 1.9861   3rd Qu.:0.729348  
##  Max.   : 2.6922   Max.   :1.068651  
## 
## 
## $tables$SGOT
## $tables$SGOT$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1086
## 
##        x                 y            
##  Min.   :-1.2934   Min.   :0.0006195  
##  1st Qu.:-0.8045   1st Qu.:0.0858720  
##  Median :-0.3156   Median :0.3795370  
##  Mean   :-0.3156   Mean   :0.5103096  
##  3rd Qu.: 0.1734   3rd Qu.:0.8977714  
##  Max.   : 0.6623   Max.   :1.3990519  
## 
## $tables$SGOT$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1027
## 
##        x                 y            
##  Min.   :-1.6551   Min.   :0.0002249  
##  1st Qu.:-0.9788   1st Qu.:0.0478939  
##  Median :-0.3026   Median :0.1818082  
##  Mean   :-0.3026   Mean   :0.3689448  
##  3rd Qu.: 0.3737   3rd Qu.:0.6588273  
##  Max.   : 1.0500   Max.   :1.1195433  
## 
## 
## $tables$SHBG
## $tables$SHBG$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.193
## 
##        x                 y            
##  Min.   :-4.3088   Min.   :0.0003178  
##  1st Qu.:-3.3640   1st Qu.:0.0397268  
##  Median :-2.4192   Median :0.1810245  
##  Mean   :-2.4192   Mean   :0.2640781  
##  3rd Qu.:-1.4744   3rd Qu.:0.4388186  
##  Max.   :-0.5296   Max.   :0.7656992  
## 
## $tables$SHBG$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1561
## 
##        x                 y            
##  Min.   :-4.6033   Min.   :0.0001902  
##  1st Qu.:-3.6203   1st Qu.:0.0358164  
##  Median :-2.6373   Median :0.1733113  
##  Mean   :-2.6373   Mean   :0.2538154  
##  3rd Qu.:-1.6543   3rd Qu.:0.4126118  
##  Max.   :-0.6713   Max.   :0.7496585  
## 
## 
## $tables$SOD
## $tables$SOD$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.136
## 
##        x               y            
##  Min.   :3.923   Min.   :0.0004486  
##  1st Qu.:4.623   1st Qu.:0.0413917  
##  Median :5.324   Median :0.1452683  
##  Mean   :5.324   Mean   :0.3561261  
##  3rd Qu.:6.025   3rd Qu.:0.6701857  
##  Max.   :6.725   Max.   :1.2203413  
## 
## $tables$SOD$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1159
## 
##        x               y            
##  Min.   :3.970   Min.   :0.0002469  
##  1st Qu.:4.643   1st Qu.:0.0622313  
##  Median :5.317   Median :0.2164216  
##  Mean   :5.317   Mean   :0.3702806  
##  3rd Qu.:5.991   3rd Qu.:0.6620650  
##  Max.   :6.665   Max.   :1.0812982  
## 
## 
## $tables$Serum_Amyloid_P
## $tables$Serum_Amyloid_P$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2052
## 
##        x                y            
##  Min.   :-7.954   Min.   :0.0003237  
##  1st Qu.:-7.013   1st Qu.:0.0448128  
##  Median :-6.071   Median :0.2262529  
##  Mean   :-6.071   Mean   :0.2650042  
##  3rd Qu.:-5.130   3rd Qu.:0.4605613  
##  Max.   :-4.188   Max.   :0.6735639  
## 
## $tables$Serum_Amyloid_P$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1606
## 
##        x                y            
##  Min.   :-7.987   Min.   :0.0001529  
##  1st Qu.:-7.032   1st Qu.:0.0438634  
##  Median :-6.076   Median :0.1502905  
##  Mean   :-6.076   Mean   :0.2610528  
##  3rd Qu.:-5.120   3rd Qu.:0.4678719  
##  Max.   :-4.164   Max.   :0.7413883  
## 
## 
## $tables$Sortilin
## $tables$Sortilin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3258
## 
##        x               y            
##  Min.   :1.364   Min.   :0.0001872  
##  1st Qu.:2.824   1st Qu.:0.0196961  
##  Median :4.283   Median :0.1410954  
##  Mean   :4.283   Mean   :0.1709258  
##  3rd Qu.:5.743   3rd Qu.:0.3170583  
##  Max.   :7.203   Max.   :0.4402174  
## 
## $tables$Sortilin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2559
## 
##        x               y            
##  Min.   :0.886   Min.   :0.0000898  
##  1st Qu.:2.413   1st Qu.:0.0185340  
##  Median :3.940   Median :0.1083839  
##  Mean   :3.940   Mean   :0.1634219  
##  3rd Qu.:5.466   3rd Qu.:0.2843334  
##  Max.   :6.993   Max.   :0.4845338  
## 
## 
## $tables$Stem_Cell_Factor
## $tables$Stem_Cell_Factor$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1255
## 
##        x               y            
##  Min.   :2.021   Min.   :0.0004899  
##  1st Qu.:2.598   1st Qu.:0.0566164  
##  Median :3.175   Median :0.3028751  
##  Mean   :3.175   Mean   :0.4326855  
##  3rd Qu.:3.751   3rd Qu.:0.8932871  
##  Max.   :4.328   Max.   :1.1314376  
## 
## $tables$Stem_Cell_Factor$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1128
## 
##        x               y            
##  Min.   :1.913   Min.   :0.0002045  
##  1st Qu.:2.588   1st Qu.:0.0369662  
##  Median :3.264   Median :0.2177216  
##  Mean   :3.264   Mean   :0.3693084  
##  3rd Qu.:3.940   3rd Qu.:0.7344650  
##  Max.   :4.615   Max.   :1.0127667  
## 
## 
## $tables$TGF_alpha
## $tables$TGF_alpha$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4318
## 
##        x                y            
##  Min.   : 5.819   Min.   :0.0001779  
##  1st Qu.: 7.893   1st Qu.:0.0241582  
##  Median : 9.968   Median :0.0675647  
##  Mean   : 9.968   Mean   :0.1202481  
##  3rd Qu.:12.043   3rd Qu.:0.2277292  
##  Max.   :14.118   Max.   :0.3194842  
## 
## $tables$TGF_alpha$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4265
## 
##        x                y            
##  Min.   : 5.563   Min.   :5.434e-05  
##  1st Qu.: 7.949   1st Qu.:9.872e-03  
##  Median :10.335   Median :7.680e-02  
##  Mean   :10.335   Mean   :1.046e-01  
##  3rd Qu.:12.721   3rd Qu.:1.931e-01  
##  Max.   :15.107   Max.   :3.049e-01  
## 
## 
## $tables$TIMP_1
## $tables$TIMP_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.7631
## 
##        x                y            
##  Min.   : 6.665   Min.   :7.996e-05  
##  1st Qu.:10.291   1st Qu.:5.927e-03  
##  Median :13.918   Median :4.027e-02  
##  Mean   :13.918   Mean   :6.880e-02  
##  3rd Qu.:17.544   3rd Qu.:1.315e-01  
##  Max.   :21.170   Max.   :1.901e-01  
## 
## $tables$TIMP_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.5226
## 
##        x                 y            
##  Min.   : 0.1739   Min.   :0.0000000  
##  1st Qu.: 4.9973   1st Qu.:0.0002628  
##  Median : 9.8207   Median :0.0066975  
##  Mean   : 9.8207   Mean   :0.0517288  
##  3rd Qu.:14.6441   3rd Qu.:0.0812559  
##  Max.   :19.4675   Max.   :0.2370685  
## 
## 
## $tables$TNF_RII
## $tables$TNF_RII$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1287
## 
##        x                 y            
##  Min.   :-1.7724   Min.   :0.0004729  
##  1st Qu.:-1.1153   1st Qu.:0.0399146  
##  Median :-0.4581   Median :0.1767396  
##  Mean   :-0.4581   Mean   :0.3796843  
##  3rd Qu.: 0.1990   3rd Qu.:0.7846294  
##  Max.   : 0.8561   Max.   :1.0878833  
## 
## $tables$TNF_RII$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09976
## 
##        x                  y            
##  Min.   :-1.96002   Min.   :0.0002298  
##  1st Qu.:-1.31108   1st Qu.:0.0216834  
##  Median :-0.66213   Median :0.1367883  
##  Mean   :-0.66213   Mean   :0.3844817  
##  3rd Qu.:-0.01318   3rd Qu.:0.7880589  
##  Max.   : 0.63577   Max.   :1.1788242  
## 
## 
## $tables$TRAIL_R3
## $tables$TRAIL_R3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08757
## 
##        x                 y            
##  Min.   :-1.1644   Min.   :0.0006967  
##  1st Qu.:-0.7402   1st Qu.:0.0605912  
##  Median :-0.3161   Median :0.3641310  
##  Mean   :-0.3161   Mean   :0.5882954  
##  3rd Qu.: 0.1080   3rd Qu.:1.1507193  
##  Max.   : 0.5321   Max.   :1.6012376  
## 
## $tables$TRAIL_R3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.071
## 
##        x                  y            
##  Min.   :-1.42370   Min.   :0.0003239  
##  1st Qu.:-0.96810   1st Qu.:0.0299211  
##  Median :-0.51251   Median :0.2241354  
##  Mean   :-0.51251   Mean   :0.5476573  
##  3rd Qu.:-0.05692   3rd Qu.:1.1322475  
##  Max.   : 0.39867   Max.   :1.6594882  
## 
## 
## $tables$TTR_prealbumin
## $tables$TTR_prealbumin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03354
## 
##        x               y           
##  Min.   :2.464   Min.   :0.000515  
##  1st Qu.:2.706   1st Qu.:0.064512  
##  Median :2.949   Median :0.514260  
##  Mean   :2.949   Mean   :1.030464  
##  3rd Qu.:3.191   3rd Qu.:1.627569  
##  Max.   :3.433   Max.   :3.465569  
## 
## $tables$TTR_prealbumin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.04025
## 
##        x               y            
##  Min.   :2.364   Min.   :0.0005726  
##  1st Qu.:2.618   1st Qu.:0.0874315  
##  Median :2.872   Median :0.6397767  
##  Mean   :2.872   Mean   :0.9836059  
##  3rd Qu.:3.125   3rd Qu.:1.7009864  
##  Max.   :3.379   Max.   :2.9208455  
## 
## 
## $tables$Tamm_Horsfall_Protein_THP
## $tables$Tamm_Horsfall_Protein_THP$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01
## 
##        x                y          
##  Min.   :-3.236   Min.   : 0.0061  
##  1st Qu.:-3.179   1st Qu.: 0.3875  
##  Median :-3.123   Median : 2.7142  
##  Mean   :-3.123   Mean   : 4.4429  
##  3rd Qu.:-3.067   3rd Qu.: 7.9055  
##  Max.   :-3.011   Max.   :13.4078  
## 
## $tables$Tamm_Horsfall_Protein_THP$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01004
## 
##        x                y            
##  Min.   :-3.236   Min.   : 0.002291  
##  1st Qu.:-3.168   1st Qu.: 0.202409  
##  Median :-3.100   Median : 1.441257  
##  Mean   :-3.100   Mean   : 3.679290  
##  3rd Qu.:-3.032   3rd Qu.: 6.958499  
##  Max.   :-2.964   Max.   :12.300325  
## 
## 
## $tables$Thrombomodulin
## $tables$Thrombomodulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08265
## 
##        x                 y            
##  Min.   :-2.2233   Min.   :0.0007774  
##  1st Qu.:-1.8097   1st Qu.:0.0789252  
##  Median :-1.3960   Median :0.2423543  
##  Mean   :-1.3960   Mean   :0.6031489  
##  3rd Qu.:-0.9823   3rd Qu.:1.2846085  
##  Max.   :-0.5687   Max.   :1.8615329  
## 
## $tables$Thrombomodulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07006
## 
##        x                 y            
##  Min.   :-2.2478   Min.   :0.0005748  
##  1st Qu.:-1.8819   1st Qu.:0.1113643  
##  Median :-1.5160   Median :0.5888401  
##  Mean   :-1.5160   Mean   :0.6818655  
##  3rd Qu.:-1.1501   3rd Qu.:1.1895943  
##  Max.   :-0.7842   Max.   :1.7639707  
## 
## 
## $tables$Thrombopoietin
## $tables$Thrombopoietin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.06773
## 
##        x                  y            
##  Min.   :-1.74275   Min.   :0.0009015  
##  1st Qu.:-1.32325   1st Qu.:0.0451482  
##  Median :-0.90376   Median :0.3488088  
##  Mean   :-0.90376   Mean   :0.5947557  
##  3rd Qu.:-0.48426   3rd Qu.:0.9909795  
##  Max.   :-0.06476   Max.   :2.1026315  
## 
## $tables$Thrombopoietin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07041
## 
##        x                 y            
##  Min.   :-1.5184   Min.   :0.0003267  
##  1st Qu.:-1.0616   1st Qu.:0.0348825  
##  Median :-0.6048   Median :0.3479396  
##  Mean   :-0.6048   Mean   :0.5461857  
##  3rd Qu.:-0.1480   3rd Qu.:0.9234895  
##  Max.   : 0.3089   Max.   :1.7648531  
## 
## 
## $tables$Thymus_Expressed_Chemokine_TECK
## $tables$Thymus_Expressed_Chemokine_TECK$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2555
## 
##        x               y           
##  Min.   :1.170   Min.   :0.000239  
##  1st Qu.:2.625   1st Qu.:0.017862  
##  Median :4.081   Median :0.079276  
##  Mean   :4.081   Mean   :0.171420  
##  3rd Qu.:5.536   3rd Qu.:0.310995  
##  Max.   :6.992   Max.   :0.559876  
## 
## $tables$Thymus_Expressed_Chemokine_TECK$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1889
## 
##        x                y            
##  Min.   :0.9418   Min.   :0.0001233  
##  1st Qu.:2.4043   1st Qu.:0.0171002  
##  Median :3.8669   Median :0.0722106  
##  Mean   :3.8669   Mean   :0.1705975  
##  3rd Qu.:5.3294   3rd Qu.:0.2912266  
##  Max.   :6.7920   Max.   :0.5967206  
## 
## 
## $tables$Thyroid_Stimulating_Hormone
## $tables$Thyroid_Stimulating_Hormone$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3209
## 
##        x                y            
##  Min.   :-7.152   Min.   :0.0001913  
##  1st Qu.:-5.704   1st Qu.:0.0262018  
##  Median :-4.256   Median :0.1122723  
##  Mean   :-4.256   Mean   :0.1722866  
##  3rd Qu.:-2.808   3rd Qu.:0.3264134  
##  Max.   :-1.360   Max.   :0.4631632  
## 
## $tables$Thyroid_Stimulating_Hormone$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1916
## 
##        x                y            
##  Min.   :-6.765   Min.   :0.0001202  
##  1st Qu.:-5.359   1st Qu.:0.0106288  
##  Median :-3.952   Median :0.0639249  
##  Mean   :-3.952   Mean   :0.1774198  
##  3rd Qu.:-2.546   3rd Qu.:0.3425615  
##  Max.   :-1.140   Max.   :0.6106165  
## 
## 
## $tables$Thyroxine_Binding_Globulin
## $tables$Thyroxine_Binding_Globulin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1455
## 
##        x                 y            
##  Min.   :-2.5566   Min.   :0.0008919  
##  1st Qu.:-1.9624   1st Qu.:0.0890178  
##  Median :-1.3682   Median :0.4048727  
##  Mean   :-1.3682   Mean   :0.4198723  
##  3rd Qu.:-0.7740   3rd Qu.:0.7462426  
##  Max.   :-0.1798   Max.   :0.8906812  
## 
## $tables$Thyroxine_Binding_Globulin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1246
## 
##        x                 y            
##  Min.   :-2.8507   Min.   :0.0001845  
##  1st Qu.:-2.0973   1st Qu.:0.0276562  
##  Median :-1.3438   Median :0.1557217  
##  Mean   :-1.3438   Mean   :0.3311640  
##  3rd Qu.:-0.5904   3rd Qu.:0.6687243  
##  Max.   : 0.1630   Max.   :0.9612922  
## 
## 
## $tables$Tissue_Factor
## $tables$Tissue_Factor$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1853
## 
##        x                 y           
##  Min.   :-0.5658   Min.   :0.000383  
##  1st Qu.: 0.2583   1st Qu.:0.044785  
##  Median : 1.0824   Median :0.217380  
##  Mean   : 1.0824   Mean   :0.302759  
##  3rd Qu.: 1.9064   3rd Qu.:0.539996  
##  Max.   : 2.7305   Max.   :0.827211  
## 
## $tables$Tissue_Factor$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1519
## 
##        x                 y            
##  Min.   :-0.6665   Min.   :0.0001829  
##  1st Qu.: 0.2353   1st Qu.:0.0411846  
##  Median : 1.1371   Median :0.1697445  
##  Mean   : 1.1371   Mean   :0.2766810  
##  3rd Qu.: 2.0389   3rd Qu.:0.4975023  
##  Max.   : 2.9407   Max.   :0.8122198  
## 
## 
## $tables$Transferrin
## $tables$Transferrin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.09068
## 
##        x               y            
##  Min.   :1.659   Min.   :0.0006734  
##  1st Qu.:2.194   1st Qu.:0.0260873  
##  Median :2.729   Median :0.1795431  
##  Mean   :2.729   Mean   :0.4665920  
##  3rd Qu.:3.264   3rd Qu.:0.8481347  
##  Max.   :3.798   Max.   :1.6573670  
## 
## $tables$Transferrin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08756
## 
##        x               y            
##  Min.   :1.683   Min.   :0.0002615  
##  1st Qu.:2.268   1st Qu.:0.0213870  
##  Median :2.854   Median :0.1751520  
##  Mean   :2.854   Mean   :0.4263912  
##  3rd Qu.:3.439   3rd Qu.:0.7871647  
##  Max.   :4.024   Max.   :1.4687536  
## 
## 
## $tables$Trefoil_Factor_3_TFF3
## $tables$Trefoil_Factor_3_TFF3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1387
## 
##        x                y            
##  Min.   :-5.160   Min.   :0.0004648  
##  1st Qu.:-4.505   1st Qu.:0.0602022  
##  Median :-3.850   Median :0.2159617  
##  Mean   :-3.850   Mean   :0.3809361  
##  3rd Qu.:-3.196   3rd Qu.:0.7326102  
##  Max.   :-2.541   Max.   :1.0664573  
## 
## $tables$Trefoil_Factor_3_TFF3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1031
## 
##        x                y            
##  Min.   :-4.987   Min.   :0.0002666  
##  1st Qu.:-4.422   1st Qu.:0.0575803  
##  Median :-3.857   Median :0.3067861  
##  Mean   :-3.857   Mean   :0.4416230  
##  3rd Qu.:-3.292   3rd Qu.:0.8679997  
##  Max.   :-2.727   Max.   :1.0993923  
## 
## 
## $tables$VCAM_1
## $tables$VCAM_1$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1398
## 
##        x               y            
##  Min.   :1.304   Min.   :0.0004365  
##  1st Qu.:2.005   1st Qu.:0.0357910  
##  Median :2.706   Median :0.1833254  
##  Mean   :2.706   Mean   :0.3558455  
##  3rd Qu.:3.407   3rd Qu.:0.5708029  
##  Max.   :4.108   Max.   :1.1464433  
## 
## $tables$VCAM_1$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09411
## 
##        x               y            
##  Min.   :1.649   Min.   :0.0003448  
##  1st Qu.:2.217   1st Qu.:0.0295152  
##  Median :2.785   Median :0.2422417  
##  Mean   :2.785   Mean   :0.4395158  
##  3rd Qu.:3.352   3rd Qu.:0.8112680  
##  Max.   :3.920   Max.   :1.3052173  
## 
## 
## $tables$VEGF
## $tables$VEGF$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.5539
## 
##        x               y            
##  Min.   :11.04   Min.   :0.0001229  
##  1st Qu.:13.97   1st Qu.:0.0183212  
##  Median :16.90   Median :0.0446594  
##  Mean   :16.90   Mean   :0.0852277  
##  3rd Qu.:19.82   3rd Qu.:0.1613336  
##  Max.   :22.75   Max.   :0.2622160  
## 
## $tables$VEGF$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.523
## 
##        x               y            
##  Min.   :10.26   Min.   :4.404e-05  
##  1st Qu.:13.68   1st Qu.:8.378e-03  
##  Median :17.11   Median :3.543e-02  
##  Mean   :17.11   Mean   :7.292e-02  
##  3rd Qu.:20.53   3rd Qu.:1.279e-01  
##  Max.   :23.95   Max.   :2.297e-01  
## 
## 
## $tables$Vitronectin
## $tables$Vitronectin$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.116
## 
##        x                 y            
##  Min.   :-1.2896   Min.   :0.0006909  
##  1st Qu.:-0.7961   1st Qu.:0.0863271  
##  Median :-0.3026   Median :0.4310126  
##  Mean   :-0.3026   Mean   :0.5055689  
##  3rd Qu.: 0.1909   3rd Qu.:0.9480774  
##  Max.   : 0.6844   Max.   :1.1551424  
## 
## $tables$Vitronectin$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1072
## 
##        x                 y            
##  Min.   :-1.7486   Min.   :0.0002144  
##  1st Qu.:-1.0984   1st Qu.:0.0194634  
##  Median :-0.4482   Median :0.1800500  
##  Mean   :-0.4482   Mean   :0.3837404  
##  3rd Qu.: 0.2020   3rd Qu.:0.8241035  
##  Max.   : 0.8522   Max.   :1.0688875  
## 
## 
## $tables$von_Willebrand_Factor
## $tables$von_Willebrand_Factor$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1421
## 
##        x                y            
##  Min.   :-5.182   Min.   :0.0004309  
##  1st Qu.:-4.519   1st Qu.:0.0443519  
##  Median :-3.856   Median :0.3044065  
##  Mean   :-3.856   Mean   :0.3763200  
##  3rd Qu.:-3.193   3rd Qu.:0.6967481  
##  Max.   :-2.530   Max.   :0.9158278  
## 
## $tables$von_Willebrand_Factor$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1166
## 
##        x                y           
##  Min.   :-5.341   Min.   :0.000244  
##  1st Qu.:-4.688   1st Qu.:0.040219  
##  Median :-4.035   Median :0.261248  
##  Mean   :-4.035   Mean   :0.382190  
##  3rd Qu.:-3.382   3rd Qu.:0.750083  
##  Max.   :-2.729   Max.   :0.998663  
## 
## 
## $tables$E4
## $tables$E4$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.189
## 
##        x                y          
##  Min.   :0.4329   Min.   :0.00965  
##  1st Qu.:0.9664   1st Qu.:0.11395  
##  Median :1.5000   Median :0.37933  
##  Mean   :1.5000   Mean   :0.46703  
##  3rd Qu.:2.0336   3rd Qu.:0.78142  
##  Max.   :2.5671   Max.   :1.24269  
## 
## $tables$E4$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1479
## 
##        x                y           
##  Min.   :0.5562   Min.   :0.008364  
##  1st Qu.:1.0281   1st Qu.:0.071217  
##  Median :1.5000   Median :0.345225  
##  Mean   :1.5000   Mean   :0.528053  
##  3rd Qu.:1.9719   3rd Qu.:0.833414  
##  Max.   :2.4438   Max.   :1.806542  
## 
## 
## $tables$E3
## $tables$E3$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.12
## 
##        x                y            
##  Min.   :0.6399   Min.   :0.0003441  
##  1st Qu.:1.0700   1st Qu.:0.0243032  
##  Median :1.5000   Median :0.1745859  
##  Mean   :1.5000   Mean   :0.5794704  
##  3rd Qu.:1.9300   3rd Qu.:0.5908657  
##  Max.   :2.3601   Max.   :2.9588517  
## 
## $tables$E3$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08141
## 
##        x                y           
##  Min.   :0.7558   Min.   :0.000000  
##  1st Qu.:1.1279   1st Qu.:0.000735  
##  Median :1.5000   Median :0.078645  
##  Mean   :1.5000   Mean   :0.669655  
##  3rd Qu.:1.8721   3rd Qu.:0.353346  
##  Max.   :2.2442   Max.   :4.544950  
## 
## 
## $tables$E2
## $tables$E2$Impaired
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1055
## 
##        x                y           
##  Min.   :0.6834   Min.   :0.000027  
##  1st Qu.:1.0917   1st Qu.:0.010496  
##  Median :1.5000   Median :0.130505  
##  Mean   :1.5000   Mean   :0.610325  
##  3rd Qu.:1.9083   3rd Qu.:0.529965  
##  Max.   :2.3166   Max.   :3.468090  
## 
## $tables$E2$Control
## 
## Call:
##  density.default(x = xx, adjust = ..1)
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                y            
##  Min.   :0.6292   Min.   :0.0007015  
##  1st Qu.:1.0646   1st Qu.:0.0369939  
##  Median :1.5000   Median :0.2460256  
##  Mean   :1.5000   Mean   :0.5723030  
##  3rd Qu.:1.9354   3rd Qu.:0.6137616  
##  Max.   :2.3708   Max.   :2.6115594  
## 
## 
## 
## $levels
## [1] "Impaired" "Control" 
## 
## $call
## NaiveBayes.default(x = x, grouping = y, usekernel = TRUE, fL = param$fL, 
##     adjust = param$adjust)
## 
## $x
##      ACE_CD143_Angiotensin_Converti ACTH_Adrenocorticotropic_Hormon         AXL
## X1                       2.00310035                      -1.3862944  1.09838668
## X2                       1.56185602                      -1.3862944  0.68328157
## X3                       1.52065981                      -1.7147984 -0.14527630
## X5                       2.40093083                      -0.9675840  0.19089023
## X6                       0.43115645                      -1.2729657 -0.22236112
## X7                       0.94620673                      -1.8971200  0.52982213
## X8                       0.70781531                      -1.8325815 -0.32667995
## X9                       1.10654173                      -1.9661129  0.19089023
## X11                      1.82987064                      -0.9942523  0.36643191
## X12                      1.00119771                      -1.7147984  0.36643191
## X14                      1.52065981                      -1.7147984  0.19089023
## X16                      1.86560359                      -1.6607312  0.60768096
## X17                      0.88951564                      -1.6094379  0.19089023
## X18                      0.50475301                      -1.8971200 -0.16696972
## X19                      0.43115645                      -1.7719568 -0.60000000
## X20                      0.88951564                      -1.7719568 -0.64353400
## X21                      0.94620673                      -1.1086626 -0.15609111
## X22                      2.03621269                      -1.6094379  0.44948974
## X23                      1.20635622                      -1.5141277  0.09761770
## X24                      1.79355115                      -1.6094379  1.22490310
## X25                      1.05460735                      -1.5141277 -0.07126985
## X26                      1.79355115                      -1.3470736  0.60768096
## X28                      1.43572821                      -1.7147984  0.89827535
## X29                      0.43115645                      -1.6094379 -0.27953495
## X30                      1.30129723                      -1.8971200 -0.09212160
## X31                      1.25439977                      -1.4696760  0.19089023
## X34                      0.57519641                      -2.2072749 -0.12383370
## X35                      0.70781531                      -1.8971200 -0.07126985
## X36                      1.15709609                      -1.7147984  0.28035085
## X37                      1.82987064                      -1.4696760  0.60768096
## X38                      1.25439977                      -1.6094379  0.09761770
## X39                      2.28543598                      -1.1711830  0.68328157
## X40                      1.56185602                      -1.2729657  0.09761770
## X41                      0.64279595                      -1.8971200  0.28035085
## X42                      1.30129723                      -1.2378744  0.60768096
## X43                      0.77048138                      -1.7719568 -0.08166739
## X44                      1.39190522                      -1.1711830  0.44948974
## X45                      1.20635622                      -1.5141277  0.52982213
## X46                      1.90077250                      -1.5141277  0.75680975
## X47                      0.57519641                      -1.8971200 -0.30294373
## X48                      1.79355115                      -1.2378744  1.09838668
## X50                      1.90077250                      -0.8675006  0.28035085
## X51                      1.25439977                      -1.7719568  0.60768096
## X53                      1.20635622                      -1.3470736 -0.02010101
## X55                      1.47863123                      -1.4271164  0.52982213
## X56                      1.05460735                      -2.1202635 -0.04040821
## X57                      0.64279595                      -1.0498221  0.68328157
## X59                      1.05460735                      -2.2072749 -0.12383370
## X60                      0.50475301                      -2.1202635 -0.46377085
## X61                      0.43115645                      -1.2729657 -0.31477005
## X62                      0.77048138                      -1.8325815 -0.04040821
## X63                      1.10654173                      -1.7147984  0.19089023
## X64                      0.94620673                      -1.8325815  0.00000000
## X65                      1.82987064                      -1.4696760  0.44948974
## X67                      1.71905522                      -1.8971200  0.60768096
## X68                      1.43572821                      -1.4271164  0.60768096
## X69                      0.64279595                      -1.7147984 -0.33867523
## X70                      1.25439977                      -1.5141277  0.60768096
## X71                      1.64190425                      -1.5141277  0.09761770
## X72                      2.31482865                      -1.3862944  0.52982213
## X73                      1.90077250                      -1.3470736  0.82842712
## X74                      0.09668586                      -1.6607312 -0.68851230
## X75                      0.70781531                      -1.7719568 -0.21114562
## X76                      2.03621269                      -1.9661129  1.03315018
## X77                      1.71905522                      -1.4271164  0.19089023
## X78                      1.68082597                      -1.2729657  1.22490310
## X80                      1.43572821                      -1.4696760  0.09761770
## X81                      1.64190425                      -1.6094379  0.19089023
## X82                      0.43115645                      -1.5141277  0.52982213
## X83                      1.96950153                      -1.3470736  0.52982213
## X84                      0.64279595                      -1.8325815 -0.02010101
## X85                      1.71905522                      -1.7147984  1.22490310
## X86                      1.30129723                      -1.2378744  0.89827535
## X88                      2.03621269                      -1.2729657  0.19089023
## X90                     -0.67562020                      -1.9661129 -0.64353400
## X93                      1.00119771                      -1.6607312  0.28035085
## X94                      1.64190425                      -1.4696760  1.22490310
## X95                      1.15709609                      -1.2729657 -0.15609111
## X96                      1.71905522                      -0.9416085  0.09761770
## X97                      2.03621269                      -1.3093333  0.36643191
## X98                      0.77048138                      -1.6607312 -0.65835921
## X99                      1.79355115                      -1.7147984  0.09761770
## X100                     1.75662119                      -1.2729657  0.89827535
## X103                     2.40093083                      -1.7147984  0.75680975
## X104                     1.10654173                      -1.6094379  0.44948974
## X105                     1.30129723                      -1.3862944  0.89827535
## X107                     1.64190425                      -1.8325815  0.60768096
## X108                     1.34711282                      -1.8971200  0.60768096
## X109                     0.94620673                      -1.6094379 -0.16696972
## X110                     1.00119771                      -1.8325815 -0.22236112
## X111                     1.96950153                      -1.3470736  0.60768096
## X112                     1.64190425                      -1.7147984  0.82842712
## X113                     1.43572821                      -1.5606477  0.28035085
## X114                     0.27296583                      -1.5606477 -0.09212160
## X115                     0.35404039                      -2.1202635  0.19089023
## X117                     1.93539850                      -1.5141277  1.03315018
## X118                     1.96950153                      -1.1086626  0.68328157
## X121                     1.71905522                      -1.8971200  0.36643191
## X123                     0.43115645                      -1.3093333 -0.61435935
## X124                     1.25439977                      -1.2729657 -0.04040821
## X126                     0.57519641                      -1.6094379  0.00000000
## X128                     1.39190522                      -1.4271164  0.96647939
## X129                     0.43115645                      -1.7719568 -0.37519232
## X130                     1.75662119                      -1.2378744  0.52982213
## X131                     1.15709609                      -1.5141277  0.19089023
## X132                     0.94620673                      -1.7147984  0.36643191
## X133                     1.25439977                      -1.5606477  0.36643191
## X134                     0.88951564                      -1.2378744  0.68328157
## X135                     1.60225879                      -1.8971200  0.52982213
## X136                     1.25439977                      -1.5606477  0.00000000
## X137                     1.05460735                      -1.3093333 -0.15609111
## X139                     1.20635622                      -1.0216512 -0.18892297
## X140                     1.86560359                      -1.3862944  0.60768096
## X141                     2.03621269                      -1.5606477  0.75680975
## X143                     0.50475301                      -1.8325815 -0.11320377
## X144                     0.83099088                      -1.2729657  0.28035085
## X145                     1.43572821                      -1.8325815  0.36643191
## X146                     1.34711282                      -1.9661129  0.75680975
## X147                     1.79355115                      -1.5606477  0.60768096
## X148                     1.39190522                      -1.3862944  0.75680975
## X149                     1.10654173                      -1.3862944  0.19089023
## X152                     2.16411943                      -1.4696760  1.52136337
## X153                     1.71905522                      -1.3470736  0.19089023
## X154                     1.10654173                      -1.3862944  0.09761770
## X155                     1.34711282                      -1.4271164  0.00000000
## X156                     2.06885532                      -1.4696760  0.36643191
## X157                     1.47863123                      -1.8971200  0.09761770
## X158                     1.43572821                      -1.3862944  0.36643191
## X159                     1.43572821                      -1.6094379  0.19089023
## X160                     2.83982088                      -1.2729657  0.89827535
## X161                     1.15709609                      -1.6094379  0.68328157
## X162                     1.71905522                      -0.8675006  0.52982213
## X163                     1.34711282                      -1.0788097 -0.01002513
## X165                     1.79355115                      -1.5606477  0.09761770
## X166                     1.64190425                      -1.6607312  0.44948974
## X167                     2.25568010                      -1.5141277  1.28633535
## X168                     1.39190522                      -1.6094379  0.52982213
## X169                     0.88951564                      -1.3093333  0.19089023
## X170                     0.57519641                      -1.5606477 -0.09212160
## X171                     1.86560359                      -1.2039728  0.89827535
## X172                     1.43572821                      -1.5606477  0.36643191
## X174                     1.96950153                      -1.9661129  0.00000000
## X175                     1.47863123                      -1.2378744  0.52982213
## X176                     1.43572821                      -1.7147984 -0.11320377
## X177                     1.52065981                      -1.6607312  0.44948974
## X178                     1.10654173                      -1.8971200 -0.11320377
## X179                     1.52065981                      -1.4696760  0.44948974
## X180                     1.96950153                      -1.4271164  0.82842712
## X181                     0.57519641                      -1.5606477 -0.55777949
## X182                     1.15709609                      -1.8325815  0.82842712
## X183                     0.64279595                      -2.1202635 -0.38754845
## X184                     1.68082597                      -1.5141277  0.68328157
## X185                     1.34711282                      -1.7147984 -0.03022844
## X186                     1.68082597                      -1.6094379  0.19089023
## X189                     0.43115645                      -1.5141277  0.36643191
## X190                     1.79355115                      -1.6607312  0.75680975
## X191                     1.30129723                      -1.6607312  0.52982213
## X192                     2.25568010                      -1.8971200  1.16227766
## X193                     1.39190522                      -2.0402208  0.36643191
## X194                     1.15709609                      -1.3470736  0.19089023
## X195                     2.51123919                      -1.3862944  1.22490310
## X197                     1.96950153                      -1.2039728  0.52982213
## X198                     1.30129723                      -1.3470736  0.00000000
## X200                     1.39190522                      -1.0216512  0.68328157
## X201                     0.70781531                      -1.2378744 -0.02010101
## X202                     1.15709609                      -1.2378744  0.09761770
## X205                     1.86560359                      -1.2729657  0.52982213
## X208                     1.15709609                      -1.7719568  0.52982213
## X210                     1.90077250                      -1.1711830  0.52982213
## X212                     0.94620673                      -1.7719568  0.09761770
## X213                     1.20635622                      -1.3470736  0.52982213
## X214                     1.15709609                      -1.5141277  0.09761770
## X215                     1.05460735                      -1.5141277  0.09761770
## X216                     1.10654173                      -1.5606477  0.09761770
## X218                     0.35404039                      -1.4696760  0.28035085
## X219                     0.83099088                      -1.3093333  0.19089023
## X220                     1.39190522                      -1.7719568  0.68328157
## X223                     1.82987064                      -1.6094379  0.44948974
## X224                     1.34711282                      -2.1202635  0.09761770
## X225                     1.82987064                      -1.3862944  1.09838668
## X226                     2.03621269                      -1.8325815  1.22490310
## X227                     1.64190425                      -1.6094379  0.52982213
## X228                     1.10654173                      -1.7719568 -0.22236112
## X229                     0.88951564                      -1.3470736  0.00000000
## X230                     1.39190522                      -1.8325815  0.19089023
## X231                     1.10654173                      -1.2039728  0.36643191
## X232                     1.30129723                      -1.5606477 -0.09212160
## X233                     0.70781531                      -1.7719568 -0.16696972
## X234                     1.30129723                      -1.5606477  0.19089023
## X236                     1.25439977                      -1.1086626  0.19089023
## X237                     1.15709609                      -1.4271164  0.36643191
## X239                     0.50475301                      -1.8971200 -0.67335008
## X240                     1.15709609                      -1.8325815 -0.11320377
## X241                     1.68082597                      -1.7147984  0.82842712
## X242                     1.56185602                      -1.5606477 -0.45080666
## X243                     0.64279595                      -2.1202635  0.00000000
## X244                     1.56185602                      -1.6607312  0.28035085
## X245                     0.64279595                      -1.3862944 -0.24500712
## X246                     1.05460735                      -1.3862944 -0.25644042
## X247                     1.43572821                      -1.3470736 -0.05064113
## X249                     2.13279405                      -1.5606477  1.28633535
## X250                     0.35404039                      -1.4271164  0.19089023
## X251                     0.77048138                      -1.9661129  0.19089023
## X253                     0.94620673                      -1.4696760  0.28035085
## X254                     2.64263321                      -1.4696760  1.09838668
## X255                     1.90077250                      -1.1086626  0.96647939
## X256                     1.15709609                      -1.5141277  0.36643191
## X257                     1.05460735                      -0.9675840 -0.14527630
## X258                     0.43115645                      -1.6094379  0.09761770
## X260                     1.47863123                      -1.6094379  0.52982213
## X261                     1.15709609                      -1.7147984 -0.13452419
## X262                     1.15709609                      -1.5141277  0.00000000
## X263                     2.13279405                      -1.3862944  1.16227766
## X264                     0.77048138                      -1.9661129  0.19089023
## X265                     1.25439977                      -1.6607312  0.68328157
## X267                     1.47863123                      -1.5606477  0.89827535
## X268                     1.71905522                      -1.3470736  0.44948974
## X269                     1.00119771                      -1.7719568  0.09761770
## X270                     2.03621269                      -1.8325815  1.09838668
## X271                     0.70781531                      -1.0788097  0.19089023
## X272                     1.86560359                      -1.5141277  0.60768096
## X273                     1.68082597                      -1.1711830  0.52982213
## X274                     1.34711282                      -1.5606477  0.60768096
## X275                     1.93539850                      -1.0788097  0.60768096
## X277                     1.10654173                      -1.7147984  0.19089023
## X278                     0.70781531                      -1.8971200  0.52982213
## X279                     1.25439977                      -1.4271164  0.68328157
## X281                     1.60225879                      -1.3862944  0.52982213
## X282                     0.77048138                      -1.3862944  0.19089023
## X283                     2.25568010                      -1.4271164  0.82842712
## X287                     1.79355115                      -1.5606477  0.44948974
## X289                     1.10654173                      -2.2072749 -0.51676030
## X290                     0.88951564                      -1.5606477 -0.15609111
## X291                     1.60225879                      -1.3093333  0.36643191
## X292                     2.10104410                      -1.1711830  0.44948974
## X294                     0.64279595                      -1.7719568 -0.37519232
## X297                     1.05460735                      -1.6607312  0.44948974
## X298                     0.70781531                      -1.7147984 -0.51676030
## X299                     1.34711282                      -1.1394343  0.28035085
## X301                     0.94620673                      -1.8325815 -0.06092806
## X302                     0.35404039                      -1.7147984 -0.42519843
## X303                     1.47863123                      -1.6094379  0.52982213
## X304                     2.37256620                      -1.1086626  0.68328157
## X305                     1.39190522                      -1.2378744  0.75680975
## X306                     1.56185602                      -1.1711830  0.44948974
## X307                     2.06885532                      -1.1086626  0.82842712
## X308                     0.70781531                      -1.5606477 -0.92296704
## X311                     0.27296583                      -2.1202635  0.09761770
## X312                     1.68082597                      -0.8439701  0.60768096
## X313                     1.00119771                      -0.9162907 -0.09212160
## X314                     1.56185602                      -1.3470736  0.60768096
## X315                     0.18739989                      -1.6094379  0.52982213
## X316                     1.86560359                      -1.7719568  0.36643191
## X317                     1.52065981                      -1.4696760  0.19089023
## X320                     0.70781531                      -0.9416085  0.09761770
## X321                     0.50475301                      -1.4271164 -0.67335008
## X322                     2.42897180                      -1.8325815  0.52982213
## X323                     1.86560359                      -1.1394343  0.44948974
## X324                     1.20635622                      -1.6094379  0.28035085
## X325                     0.94620673                      -1.7719568  0.44948974
## X326                     1.25439977                      -1.4271164  0.19089023
## X327                     1.64190425                      -1.5141277  0.52982213
## X329                     1.71905522                      -1.6607312  0.82842712
## X330                     1.39190522                      -1.5141277 -0.14527630
## X331                     1.00119771                      -1.3470736 -0.01002513
## X332                     0.94620673                      -1.7719568  0.00000000
## X333                     2.42897180                      -1.4696760  1.40587727
##      Adiponectin Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin
## X1     -5.360193                1.7404662          -12.631361
## X2     -5.020686                1.4586150          -11.909882
## X3     -5.809143                1.1939225          -13.642963
## X5     -4.779524                2.1282317          -11.133063
## X6     -5.221356                1.3083328          -12.134638
## X7     -6.119298                0.8329091          -12.813142
## X8     -4.879607                1.5260563          -13.310348
## X9     -5.167289                0.7419373          -12.907477
## X11    -4.840893                1.0986123          -13.310348
## X12    -4.199705                1.9021075          -11.838035
## X14    -5.776353                1.3862944          -11.909882
## X16    -4.199705                1.4109870          -11.983227
## X17    -4.699481                1.8245493          -11.499497
## X18    -6.265901                1.2237754          -14.135373
## X19    -4.422849                1.3083328          -12.292758
## X20    -5.132803                2.1633230           -8.932463
## X21    -5.683980                0.9555114          -14.135373
## X22    -5.914504                1.3609766          -15.344812
## X23    -6.377127                1.1314021          -13.642963
## X24    -5.843045                1.3083328          -13.310348
## X25    -4.919881                0.7884574          -13.528896
## X26    -5.099467                1.0986123          -13.205557
## X28    -6.502290                1.5260563          -11.909882
## X29    -6.165818                0.9932518          -14.135373
## X30    -5.278515                1.1314021          -13.760451
## X31    -5.099467                1.5475625          -12.058126
## X34    -5.426151                1.4109870          -11.435607
## X35    -4.199705                1.2237754          -12.458129
## X36    -3.963316                2.1041342          -11.909882
## X37    -4.767689                1.1314021          -14.548755
## X38    -5.005648                1.3609766          -13.528896
## X39    -5.843045                0.8754687          -16.321511
## X40    -5.991465                1.7749524          -13.418078
## X41    -3.649659                1.8870696           -8.191715
## X42    -4.605170                1.1314021          -13.881545
## X43    -4.688552                1.0647107          -13.004247
## X44    -5.259097                1.5892352          -12.907477
## X45    -6.502290                1.8082888          -12.058126
## X46    -6.214608                1.3862944          -15.008176
## X47    -4.605170                1.3862944          -11.630963
## X48    -5.099467                1.4816045          -15.344812
## X50    -5.184989                1.3862944          -11.698625
## X51    -4.677741                1.3609766          -12.374500
## X53    -5.083206                1.5892352          -13.881545
## X55    -5.496768                1.3862944          -15.344812
## X56    -4.509860                1.5260563          -11.698625
## X57    -5.403678                1.8405496          -12.212827
## X59    -4.509860                1.6486586          -11.250842
## X60    -5.318520                1.4586150          -13.103567
## X61    -5.776353                1.1631508          -14.006447
## X62    -5.914504                0.8329091          -15.008176
## X63    -5.521461                1.3350011          -12.907477
## X64    -4.744432                1.7749524          -12.631361
## X65    -5.546779                0.7419373          -15.523564
## X67    -4.990833                1.4350845          -14.406260
## X68    -4.199705                1.3862944          -14.268559
## X69    -5.683980                0.8329091          -15.008176
## X70    -6.165818                0.9932518          -14.406260
## X71    -6.032287                1.7047481          -12.134638
## X72    -3.540459                2.2082744          -10.963846
## X73    -5.067206                1.5892352          -14.135373
## X74    -4.615221                1.4109870          -10.802885
## X75    -4.342806                2.0412203          -12.907477
## X76    -5.426151                1.5260563          -10.363053
## X77    -3.912023                1.6292405          -11.564602
## X78    -4.803621                1.5892352          -11.311317
## X80    -6.214608                1.4350845          -13.205557
## X81    -5.572754                1.3862944          -12.292758
## X82    -5.067206                1.1939225          -12.292758
## X83    -4.828314                1.1631508          -12.374500
## X84    -5.099467                1.2809338          -11.564602
## X85    -5.713833                1.5686159          -12.212827
## X86    -4.509860                2.1633230          -11.019298
## X88    -4.866535                1.4350845          -13.418078
## X90    -5.878136                0.9932518          -14.849365
## X93    -4.342806                1.8082888          -13.004247
## X94    -4.199705                2.2823824          -12.292758
## X95    -4.919881                1.2527630          -12.058126
## X96    -5.991465                1.0986123          -14.406260
## X97    -5.360193                0.9162907          -13.881545
## X98    -5.914504                0.9932518          -15.344812
## X99    -5.403678                1.5040774          -14.268559
## X100   -5.278515                1.1939225          -15.008176
## X103   -5.221356                1.3609766          -13.310348
## X104   -5.167289                1.2237754          -13.881545
## X105   -5.115996                1.1939225          -12.374500
## X107   -5.599422                1.2809338          -13.004247
## X108   -5.005648                1.7047481          -13.103567
## X109   -5.809143                0.4054651          -16.780588
## X110   -5.952244                0.7884574          -15.173178
## X111   -4.744432                1.2527630          -14.268559
## X112   -3.963316                1.9169226          -12.058126
## X113   -4.342806                1.8718022          -11.191436
## X114   -6.119298                1.2237754          -13.418078
## X115   -4.268698                1.7227666          -11.499497
## X117   -5.991465                1.2237754          -14.006447
## X118   -5.572754                1.4350845          -13.881545
## X121   -4.135167                1.9315214           -9.562842
## X123   -5.776353                0.9555114          -13.103567
## X124   -5.020686                1.6292405          -13.004247
## X126   -5.298317                0.9932518          -13.418078
## X128   -3.912023                1.9169226          -10.750945
## X129   -5.221356                1.1939225          -13.103567
## X130   -5.051457                1.4350845          -10.363053
## X131   -5.744604                1.0647107          -13.642963
## X132   -5.654992                1.7578579          -12.058126
## X133   -4.342806                1.7047481          -11.983227
## X134   -4.906275                1.6677068          -12.813142
## X135   -5.744604                1.4816045          -11.499497
## X136   -4.074542                1.4350845          -12.374500
## X137   -6.319969                0.9162907          -14.135373
## X139   -5.683980                1.0986123          -14.406260
## X140   -5.521461                1.2237754          -13.881545
## X141   -5.240048                1.4109870          -11.250842
## X143   -4.947660                1.5260563          -12.134638
## X144   -5.426151                1.4816045          -13.528896
## X145   -5.914504                0.7884574          -14.696346
## X146   -5.099467                1.7404662          -13.103567
## X147   -4.947660                1.5040774          -13.881545
## X148   -4.199705                2.2512918          -12.907477
## X149   -5.360193                0.6931472          -15.008176
## X152   -5.496768                1.8082888          -12.458129
## X153   -6.319969                1.6094379          -12.374500
## X154   -5.099467                0.9162907          -14.696346
## X155   -5.115996                1.1314021          -12.631361
## X156   -5.132803                1.7227666          -12.543721
## X157   -5.259097                1.2527630          -13.310348
## X158   -5.991465                1.0647107          -14.268559
## X159   -5.184989                1.6292405          -11.838035
## X160   -4.828314                1.7404662          -12.721137
## X161   -4.509860                1.3609766          -12.458129
## X162   -5.472671                1.2237754          -15.523564
## X163   -5.240048                0.6931472          -15.709974
## X165   -5.496768                1.0986123          -14.135373
## X166   -5.318520                0.7419373          -14.135373
## X167   -4.755993                1.0647107          -14.406260
## X168   -5.449140                1.4816045          -14.006447
## X169   -5.203007                1.0647107          -13.205557
## X170   -4.268698                1.1314021          -12.134638
## X171   -5.713833                1.5040774          -10.599937
## X172   -5.654992                1.0296194          -12.631361
## X174   -3.575551                1.6292405          -11.435607
## X175   -4.828314                1.9021075          -11.838035
## X176   -5.020686                1.6863990          -11.133063
## X177   -5.167289                1.4586150          -14.548755
## X178   -5.240048                0.9555114          -14.135373
## X179   -3.506558                1.9021075          -13.103567
## X180   -4.853632                1.6292405          -13.103567
## X181   -6.074846                0.6931472          -15.173178
## X182   -5.521461                1.4109870          -15.173178
## X183   -4.892852                1.3862944          -13.205557
## X184   -5.654992                1.2809338          -12.813142
## X185   -4.422849                1.4109870          -12.212827
## X186   -5.496768                1.0647107          -16.545310
## X189   -5.991465                0.9932518          -13.205557
## X190   -5.278515                1.6292405          -14.406260
## X191   -5.449140                1.4109870          -13.528896
## X192   -5.149897                1.5040774          -13.881545
## X193   -4.645992                1.7749524          -11.191436
## X194   -4.135167                1.2237754          -12.907477
## X195   -5.546779                0.9932518          -12.907477
## X197   -5.035953                1.5040774          -11.983227
## X198   -4.947660                0.8329091          -15.904641
## X200   -5.952244                1.1939225          -12.721137
## X201   -5.496768                1.0986123          -13.642963
## X202   -6.377127                0.8329091          -14.696346
## X205   -5.403678                1.3609766          -17.028429
## X208   -5.203007                1.4816045          -13.881545
## X210   -4.605170                1.5040774          -10.699822
## X212   -5.083206                1.6677068          -12.631361
## X213   -5.115996                1.4109870          -12.458129
## X214   -6.119298                1.6863990          -12.543721
## X215   -5.991465                1.1631508          -14.696346
## X216   -4.422849                1.5475625          -13.004247
## X218   -4.605170                1.7047481          -13.103567
## X219   -5.259097                0.8754687          -13.760451
## X220   -6.725434                1.0986123          -14.406260
## X223   -5.496768                1.3862944          -12.212827
## X224   -6.437752                1.2809338          -12.721137
## X225   -5.521461                1.2809338          -13.528896
## X226   -4.906275                1.6486586          -13.205557
## X227   -4.767689                2.0541237          -12.813142
## X228   -6.265901                1.0647107          -14.696346
## X229   -6.119298                1.1939225          -14.006447
## X230   -4.744432                1.4350845          -12.292758
## X231   -6.074846                1.0647107          -11.767633
## X232   -5.259097                1.2809338          -12.907477
## X233   -5.020686                1.2809338          -13.205557
## X234   -4.268698                1.1939225          -11.983227
## X236   -5.991465                0.7419373          -13.004247
## X237   -4.710531                1.7047481          -10.185537
## X239   -5.914504                1.0296194          -13.418078
## X240   -5.449140                0.9162907          -14.548755
## X241   -6.725434                1.1939225          -11.983227
## X242   -3.575551                1.6781472          -14.135373
## X243   -5.184989                1.7227666          -10.317725
## X244   -4.906275                1.4109870          -11.698625
## X245   -6.319969                0.4054651          -15.904641
## X246   -4.677741                1.5892352          -11.698625
## X247   -5.744604                0.5877867          -15.709974
## X249   -5.339139                1.2237754          -14.849365
## X250   -5.683980                1.1631508          -13.310348
## X251   -4.947660                0.8754687          -12.721137
## X253   -4.721704                1.8718022          -10.750945
## X254   -5.083206                1.7578579          -12.721137
## X255   -4.509860                1.7749524          -11.191436
## X256   -5.654992                1.1314021          -15.523564
## X257   -5.184989                0.6418539          -15.523564
## X258   -4.017384                1.2809338          -10.802885
## X260   -5.020686                1.1939225          -13.310348
## X261   -5.005648                0.7884574          -13.004247
## X262   -4.947660                1.1314021          -14.135373
## X263   -4.840893                1.5040774          -13.004247
## X264   -4.342806                2.3025851           -8.191715
## X265   -5.654992                1.2809338          -14.406260
## X267   -5.449140                1.3350011          -13.310348
## X268   -4.268698                1.6486586          -13.103567
## X269   -6.725434                0.9162907          -14.696346
## X270   -5.472671                1.3609766          -14.268559
## X271   -4.677741                1.3083328          -12.458129
## X272   -4.779524                1.5260563          -11.564602
## X273   -5.278515                1.4586150          -13.881545
## X274   -5.381699                0.2623643          -13.418078
## X275   -5.952244                1.5260563          -13.205557
## X277   -5.184989                1.4586150          -11.838035
## X278   -6.377127                1.4350845          -12.292758
## X279   -5.843045                1.3862944          -12.058126
## X281   -5.259097                1.1314021          -13.205557
## X282   -5.654992                1.5892352          -12.458129
## X283   -3.649659                1.3609766          -12.907477
## X287   -5.259097                1.3350011          -14.548755
## X289   -5.914504                1.0986123          -13.004247
## X290   -5.952244                1.3609766          -14.268559
## X291   -5.240048                1.4586150          -12.721137
## X292   -6.377127                1.3083328          -12.374500
## X294   -6.119298                1.0296194          -15.709974
## X297   -4.961845                1.3609766          -14.006447
## X298   -6.319969                0.8754687          -13.205557
## X299   -5.403678                0.8754687          -12.721137
## X301   -6.165818                0.8754687          -12.721137
## X302   -5.259097                1.0986123          -11.311317
## X303   -4.840893                1.3083328          -13.310348
## X304   -4.422849                1.7047481          -11.499497
## X305   -4.840893                1.5475625          -15.904641
## X306   -4.866535                1.4586150          -11.133063
## X307   -3.963316                2.1747517          -11.191436
## X308   -4.721704                1.7404662          -12.458129
## X311   -4.422849                1.5475625          -11.019298
## X312   -5.051457                1.4109870           -8.417032
## X313   -4.853632                1.3083328          -14.406260
## X314   -5.776353                0.7884574          -15.523564
## X315   -5.035953                2.0014800          -12.721137
## X316   -5.132803                1.0296194          -13.310348
## X317   -5.843045                1.3350011          -13.418078
## X320   -4.677741                1.6863990          -11.630963
## X321   -4.509860                1.1939225          -12.292758
## X322   -4.135167                2.1162555          -10.551134
## X323   -4.074542                1.7227666          -13.418078
## X324   -6.502290                0.9162907          -14.849365
## X325   -5.339139                1.6677068          -12.907477
## X326   -4.422849                1.4586150          -14.006447
## X327   -4.779524                1.4586150          -11.838035
## X329   -5.449140                1.0986123          -16.321511
## X330   -4.906275                1.6094379          -11.838035
## X331   -4.509860                1.1939225          -14.406260
## X332   -5.521461                1.7047481          -12.543721
## X333   -5.051457                1.2809338          -12.907477
##      Alpha_1_Microglobulin Alpha_2_Macroglobulin Angiopoietin_2_ANG_2
## X1               -2.577022             -72.65029           1.06471074
## X2               -3.244194            -154.61228           0.74193734
## X3               -2.882404            -136.52918           0.83290912
## X5               -2.343407            -144.94460           0.95551145
## X6               -2.551046            -154.61228          -0.05129329
## X7               -3.270169            -149.60441           0.78845736
## X8               -2.900422            -144.94460           0.26236426
## X9               -3.649659            -194.94684           0.64185389
## X11              -3.079114             -91.36978           0.83290912
## X12              -2.353878            -132.71508           0.26236426
## X14              -2.513306            -104.44595           0.64185389
## X16              -2.900422             -94.72274           1.30833282
## X17              -2.733368            -149.60441           0.83290912
## X18              -3.296837            -225.75583           0.26236426
## X19              -2.975930            -179.08749           0.47000363
## X20              -2.590267            -186.64150           0.58778666
## X21              -2.937463            -149.60441           0.53062825
## X22              -3.688879            -165.84824           0.91629073
## X23              -3.575551            -238.63748           0.09531018
## X24              -3.411248            -179.08749           1.06471074
## X25              -3.170086            -194.94684           0.53062825
## X26              -3.218876            -186.64150           0.69314718
## X28              -3.057608            -165.84824           0.64185389
## X29              -3.816713            -238.63748           0.47000363
## X30              -3.270169            -225.75583           0.33647224
## X31              -2.617296            -172.18413           0.87546874
## X34              -2.563950            -186.64150           0.64185389
## X35              -2.453408            -179.08749           0.26236426
## X36              -2.040221            -140.59662           0.83290912
## X37              -3.324236            -172.18413           0.78845736
## X38              -3.015935            -154.61228           0.64185389
## X39              -3.194183            -144.94460           0.69314718
## X40              -2.796881            -140.59662           0.64185389
## X41              -2.501036            -106.66533           0.53062825
## X42              -2.796881            -125.75495           0.87546874
## X43              -3.575551            -194.94684           0.26236426
## X44              -2.645075             -89.78989           0.78845736
## X45              -2.748872            -136.52918           1.09861229
## X46              -3.270169            -125.75495           1.02961942
## X47              -3.079114            -100.30070           0.40546511
## X48              -3.057608             -71.69519           1.09861229
## X50              -2.590267             -93.01273           1.13140211
## X51              -3.270169            -125.75495           1.25276297
## X53              -2.918771             -82.71675           0.58778666
## X55              -2.918771            -160.01040           0.40546511
## X56              -2.419119            -140.59662           0.40546511
## X57              -2.525729             -67.30674           1.19392247
## X59              -2.441847            -108.99239           0.78845736
## X60              -3.123566             -84.03131           0.74193734
## X61              -3.411248            -179.08749           0.64185389
## X62              -3.772261            -225.75583           0.33647224
## X63              -2.780621             -96.50416           0.78845736
## X64              -2.453408            -165.84824           0.58778666
## X65              -3.352407            -160.01040           0.40546511
## X67              -3.324236            -122.56978           1.30833282
## X68              -2.659260             -75.69273           0.83290912
## X69              -3.473768            -122.56978           0.09531018
## X70              -3.729701            -149.60441           0.83290912
## X71              -2.441847            -179.08749           0.64185389
## X72              -1.832581            -138.25835           1.48160454
## X73              -1.897120             -81.44692           1.13140211
## X74              -2.813411            -186.64150           0.18232156
## X75              -2.419119            -129.13061           0.40546511
## X76              -2.718101            -154.61228           0.64185389
## X77              -2.688248            -165.84824           0.58778666
## X78              -2.353878            -140.59662           1.16315081
## X80              -2.830218             -91.36978           0.47000363
## X81              -3.170086            -160.01040           0.83290912
## X82              -3.015935            -149.60441           0.83290912
## X83              -2.673649            -165.84824           0.33647224
## X84              -3.146555            -154.61228           0.47000363
## X85              -2.590267            -136.52918           0.95551145
## X86              -1.832581            -140.59662           0.95551145
## X88              -2.441847             -74.64766           0.87546874
## X90              -4.342806            -253.28958           0.33647224
## X93              -2.780621            -140.59662           1.16315081
## X94              -2.333044            -102.32669           1.41098697
## X95              -3.244194            -214.33276           0.18232156
## X96              -3.015935            -172.18413           0.74193734
## X97              -3.170086            -172.18413           1.09861229
## X98              -3.816713            -186.64150           0.53062825
## X99              -2.703063            -140.59662           0.74193734
## X100             -3.170086            -154.61228           0.87546874
## X103             -3.218876            -116.70786           1.16315081
## X104             -3.194183            -154.61228           0.91629073
## X105             -3.057608            -172.18413           1.02961942
## X107             -2.813411             -93.01273           0.87546874
## X108             -2.353878            -165.84824           0.83290912
## X109             -3.688879            -204.12656           0.09531018
## X110             -4.017384            -225.75583           0.33647224
## X111             -2.956512            -102.32669           0.95551145
## X112             -1.966113             -93.01273           0.91629073
## X113             -2.419119            -102.32669           0.69314718
## X114             -3.296837            -194.94684          -0.54472718
## X115             -2.718101            -104.44595           0.47000363
## X117             -3.688879            -253.28958           0.95551145
## X118             -2.937463            -100.30070           1.19392247
## X121             -2.631089            -116.70786           0.91629073
## X123             -3.649659            -225.75583           0.33647224
## X124             -2.375156            -160.01040           0.83290912
## X126             -3.324236            -165.84824           0.78845736
## X128             -2.590267            -132.71508           0.69314718
## X129             -3.079114            -194.94684           0.40546511
## X130             -2.302585            -144.94460           0.91629073
## X131             -3.079114            -186.64150           0.53062825
## X132             -2.733368            -204.12656           0.78845736
## X133             -2.353878            -149.60441           0.83290912
## X134             -2.441847             -94.72274           0.69314718
## X135             -3.079114            -119.55888           1.16315081
## X136             -3.015935            -165.84824           0.53062825
## X137             -3.575551            -194.94684           0.18232156
## X139             -3.244194            -172.18413           0.47000363
## X140             -2.830218            -108.99239           0.64185389
## X141             -2.956512            -165.84824           1.02961942
## X143             -2.900422            -204.12656           0.53062825
## X144             -2.659260            -165.84824           0.40546511
## X145             -3.688879            -225.75583           0.33647224
## X146             -2.120264            -140.59662           0.87546874
## X147             -2.995732             -89.78989           0.64185389
## X148             -2.040221            -136.52918           0.69314718
## X149             -3.057608            -179.08749           0.47000363
## X152             -2.302585             -59.45638           1.33500107
## X153             -2.577022            -116.70786           0.64185389
## X154             -3.244194            -172.18413           0.47000363
## X155             -3.270169            -160.01040           0.33647224
## X156             -2.385967            -165.84824           0.58778666
## X157             -3.296837            -165.84824           0.87546874
## X158             -3.381395            -194.94684           0.53062825
## X159             -3.506558            -194.94684           0.18232156
## X160             -2.882404            -136.52918           0.69314718
## X161             -2.302585            -149.60441           0.91629073
## X162             -3.729701            -119.55888           0.87546874
## X163             -4.017384            -194.94684           0.26236426
## X165             -3.352407            -154.61228           0.78845736
## X166             -3.352407            -149.60441           0.53062825
## X167             -2.813411            -140.59662           1.33500107
## X168             -3.244194            -186.64150           0.26236426
## X169             -3.146555            -194.94684           0.40546511
## X170             -2.995732            -186.64150           0.40546511
## X171             -2.780621            -154.61228           0.74193734
## X172             -3.411248            -225.75583           0.47000363
## X174             -1.897120             -71.69519           0.26236426
## X175             -2.343407            -119.55888           0.64185389
## X176             -2.688248            -125.75495           0.58778666
## X177             -3.540459            -165.84824           0.87546874
## X178             -3.411248            -225.75583           0.33647224
## X179             -2.120264            -116.70786           0.53062825
## X180             -2.688248            -160.01040           0.64185389
## X181             -3.381395            -225.75583           0.26236426
## X182             -3.296837            -194.94684           0.91629073
## X183             -2.780621            -214.33276           0.53062825
## X184             -2.918771            -149.60441           0.95551145
## X185             -2.476938            -144.94460           0.64185389
## X186             -3.244194            -194.94684           0.53062825
## X189             -3.649659            -186.64150           0.78845736
## X190             -2.937463            -132.71508           0.87546874
## X191             -3.352407            -179.08749           0.78845736
## X192             -2.631089            -149.60441           1.06471074
## X193             -2.796881            -140.59662           0.99325177
## X194             -2.847312            -160.01040           0.18232156
## X195             -3.101093            -172.18413           0.58778666
## X197             -2.120264             -94.72274           0.64185389
## X198             -3.611918            -186.64150           0.40546511
## X200             -3.381395            -165.84824           0.53062825
## X201             -3.411248            -144.94460           0.58778666
## X202             -3.688879            -225.75583           0.40546511
## X205             -2.673649            -172.18413           0.53062825
## X208             -2.918771            -149.60441           1.09861229
## X210             -2.501036             -98.36175           0.83290912
## X212             -2.748872            -186.64150           0.58778666
## X213             -2.453408            -179.08749           0.58778666
## X214             -2.796881            -160.01040           0.78845736
## X215             -3.611918            -136.52918           0.69314718
## X216             -2.780621            -194.94684           0.33647224
## X218             -2.207275            -165.84824           0.58778666
## X219             -3.270169            -179.08749           0.69314718
## X220             -3.411248            -172.18413           0.69314718
## X223             -2.563950            -194.94684           0.47000363
## X224             -3.244194            -214.33276           0.33647224
## X225             -3.473768            -179.08749           1.16315081
## X226             -3.244194            -136.52918           1.52605630
## X227             -1.966113            -179.08749           0.40546511
## X228             -3.352407            -214.33276           0.40546511
## X229             -3.170086            -225.75583           0.18232156
## X230             -1.966113             -75.69273           0.99325177
## X231             -3.123566            -144.94460           0.47000363
## X232             -2.975930            -140.59662           0.53062825
## X233             -3.036554            -186.64150           0.18232156
## X234             -2.673649            -129.13061           0.53062825
## X236             -3.352407            -204.12656           0.58778666
## X237             -2.563950            -149.60441           0.09531018
## X239             -3.863233            -253.28958           0.18232156
## X240             -2.617296            -116.70786           0.47000363
## X241             -3.244194            -179.08749           0.53062825
## X242             -1.771957            -160.01040           0.18232156
## X243             -2.733368            -179.08749           0.40546511
## X244             -2.673649            -172.18413           0.64185389
## X245             -3.912023            -253.28958           0.09531018
## X246             -2.322788            -149.60441           0.74193734
## X247             -3.729701            -204.12656           0.47000363
## X249             -2.995732            -160.01040           0.95551145
## X250             -2.813411            -179.08749           0.74193734
## X251             -3.218876            -179.08749           0.58778666
## X253             -2.525729            -144.94460           0.87546874
## X254             -2.430418            -132.71508           1.36097655
## X255             -2.617296            -106.66533           1.02961942
## X256             -3.611918            -186.64150           0.58778666
## X257             -3.218876            -214.33276           0.40546511
## X258             -2.302585            -160.01040           1.28093385
## X260             -2.900422            -179.08749           0.69314718
## X261             -3.270169            -214.33276           0.33647224
## X262             -3.411248            -194.94684           0.53062825
## X263             -2.796881            -104.44595           0.91629073
## X264             -2.353878            -144.94460           0.91629073
## X265             -3.352407            -186.64150           0.74193734
## X267             -2.813411            -160.01040           1.16315081
## X268             -2.385967             -79.03231           0.69314718
## X269             -3.816713            -194.94684           0.69314718
## X270             -3.146555            -129.13061           1.13140211
## X271             -2.501036            -122.56978           0.99325177
## X272             -2.780621            -194.94684           0.78845736
## X273             -3.244194            -116.70786           0.83290912
## X274             -3.411248            -149.60441           0.58778666
## X275             -2.864704            -179.08749           0.91629073
## X277             -2.748872            -186.64150           0.53062825
## X278             -2.813411            -154.61228           0.78845736
## X279             -3.244194            -204.12656           0.53062825
## X281             -3.057608            -186.64150           0.83290912
## X282             -2.513306            -194.94684           0.58778666
## X283             -2.513306            -111.43549           1.41098697
## X287             -3.079114            -172.18413           0.78845736
## X289             -3.270169            -253.28958           0.33647224
## X290             -3.146555            -214.33276           0.09531018
## X291             -2.703063            -140.59662           0.33647224
## X292             -2.995732            -179.08749           1.25276297
## X294             -3.244194            -253.28958           0.64185389
## X297             -2.577022            -179.08749           0.58778666
## X298             -2.617296            -186.64150           0.83290912
## X299             -3.540459            -132.71508           1.02961942
## X301             -2.864704            -194.94684           0.64185389
## X302             -3.324236            -289.68493           0.00000000
## X303             -3.057608            -172.18413           0.78845736
## X304             -3.381395            -172.18413           0.78845736
## X305             -2.718101            -132.71508           1.16315081
## X306             -2.040221            -165.84824           0.91629073
## X307             -2.120264            -140.59662           0.69314718
## X308             -2.419119            -122.56978           0.64185389
## X311             -2.764621            -165.84824           0.33647224
## X312             -2.688248            -160.01040           1.19392247
## X313             -3.057608            -186.64150           0.83290912
## X314             -3.772261            -172.18413           0.69314718
## X315             -2.538307            -149.60441           0.53062825
## X316             -3.381395            -154.61228           0.53062825
## X317             -3.244194            -160.01040           0.53062825
## X320             -2.040221            -179.08749           0.26236426
## X321             -2.813411            -165.84824          -0.49429632
## X322             -2.120264            -154.61228           1.16315081
## X323             -2.430418            -119.55888           0.74193734
## X324             -3.649659            -125.75495           0.47000363
## X325             -2.813411            -140.59662           1.13140211
## X326             -3.123566            -165.84824           0.87546874
## X327             -2.419119             -86.80482           0.74193734
## X329             -3.324236            -160.01040           0.95551145
## X330             -2.120264            -154.61228           0.40546511
## X331             -3.170086            -179.08749          -0.24846136
## X332             -3.036554            -132.71508           0.40546511
## X333             -2.995732            -194.94684           1.25276297
##      Angiotensinogen Apolipoprotein_A_IV Apolipoprotein_A1 Apolipoprotein_A2
## X1          2.510547          -1.4271164         -7.402052       -0.26136476
## X2          2.457283          -1.6607312         -7.047017       -0.86750057
## X3          1.976365          -1.6607312         -7.684284       -0.65392647
## X5          2.862219          -1.1711830         -6.725434        0.09531018
## X6          2.524026          -1.3862944         -7.402052       -0.27443685
## X7          2.106653          -2.0402208         -7.751725       -0.94160854
## X8          2.079076          -1.4271164         -6.948577       -0.16251893
## X9          2.131782          -2.3968958         -7.929407       -0.77652879
## X11         2.654255          -1.6607312         -7.250246       -0.75502258
## X12         2.289800          -1.7719568         -7.469874       -0.40047757
## X14         2.064231          -1.5606477         -7.208860       -0.43078292
## X16         2.466248          -2.3751558         -7.684284       -0.47803580
## X17         2.389150          -1.5606477         -6.907755       -0.08338161
## X18         2.214041          -2.4191189         -8.294050       -1.46967597
## X19         2.205050          -2.0402208         -7.323271       -0.41551544
## X20         2.195737          -1.7719568         -6.725434       -0.31471074
## X21         2.555806          -2.3227878         -7.621105       -1.23787436
## X22         2.262201          -2.3859667         -7.824046       -1.27296568
## X23         2.262201          -2.2072749         -7.435388       -1.20397280
## X24         2.308607          -2.3644605         -7.323271       -0.46203546
## X25         2.397445          -1.5606477         -7.505592       -1.13943428
## X26         2.276391          -2.3751558         -7.581100       -0.96758403
## X28         2.262201          -1.9661129         -7.435388       -0.91629073
## X29         2.376085          -2.7646206         -7.875339       -1.20397280
## X30         2.119499          -1.8325815         -7.293418       -0.73396918
## X31         2.500997          -1.3862944         -7.013116       -0.22314355
## X34         1.751632          -2.0402208         -7.505592       -0.17435339
## X35         2.195737          -1.6607312         -7.561682       -0.18632958
## X36         2.064231          -1.2378744         -6.725434        0.40546511
## X37         2.416882          -2.1202635         -7.542634       -1.07880966
## X38         2.472010          -2.3968958         -7.824046       -0.67334455
## X39         2.682856          -1.8325815         -7.875339       -0.89159812
## X40         2.466248          -1.6094379         -7.452482       -0.75502258
## X41         1.932789          -1.2729657         -6.571283        0.18232156
## X42         2.597766          -1.6094379         -7.799353       -0.79850770
## X43         2.186083          -2.0402208         -7.875339       -1.10866262
## X44         2.314560          -1.7147984         -7.070274       -0.57981850
## X45         2.239267          -1.7147984         -7.024289       -0.34249031
## X46         2.195737          -2.2072749         -7.986565       -1.27296568
## X47         2.326029          -1.9661129         -7.662778       -1.17118298
## X48         2.622996          -1.9661129         -7.600902       -1.23787436
## X50         2.734317          -1.6094379         -7.452482       -0.13926207
## X51         1.976365          -1.8971200         -7.130899       -0.63487827
## X53         2.496038          -1.1086626         -7.130899       -0.49429632
## X55         2.447901          -1.9661129         -7.323271       -0.65392647
## X56         1.882416          -1.2729657         -7.236259       -0.03045921
## X57         2.804296          -1.8325815         -7.600902       -1.20397280
## X59         1.955322          -1.5606477         -7.581100       -0.46203546
## X60         2.143544          -2.2072749         -7.929407       -0.96758403
## X61         2.624223          -1.7719568         -7.902008       -0.96758403
## X62         2.119499          -2.3434071         -7.849364       -0.99425227
## X63         2.014615          -2.0402208         -7.957577       -0.38566248
## X64         2.014615          -1.6094379         -7.106206        0.00000000
## X65         2.119499          -1.9661129         -8.145630       -1.56064775
## X67         2.320365          -1.9661129         -7.600902       -1.02165125
## X68         2.308607          -1.4271164         -7.195437       -0.40047757
## X69         2.239267          -2.3538784         -7.706263       -1.23787436
## X70         2.176062          -2.3025851         -7.728736       -1.30933332
## X71         2.064231          -1.8325815         -7.452482       -0.69314718
## X72         2.393337          -1.5141277         -6.319969        0.33647224
## X73         2.154822          -1.3862944         -7.452482       -0.69314718
## X74         2.079076          -1.4271164         -7.082109       -0.23572233
## X75         1.789161          -1.6607312         -6.812445        0.18232156
## X76         2.239267          -1.7719568         -7.662778       -0.34249031
## X77         2.472010          -1.7147984         -7.047017       -0.43078292
## X78         2.371551          -1.4271164         -7.418581       -0.57981850
## X80         2.431242          -1.6094379         -7.706263       -0.43078292
## X81         2.498534          -1.7147984         -7.751725       -0.73396918
## X82         2.460316          -1.8971200         -7.338538       -0.59783700
## X83         2.540605          -1.7147984         -7.308233       -0.21072103
## X84         2.064231          -1.9661129         -7.706263       -0.54472718
## X85         2.247148          -1.6094379         -7.487574       -0.47803580
## X86         2.629041          -1.3470736         -7.369791       -0.02020271
## X88         2.498534          -2.0402208         -7.751725       -0.84397007
## X90         1.854050          -2.7333680         -8.217089       -1.89711998
## X93         2.154822          -1.5606477         -7.435388       -0.59783700
## X94         2.557619          -1.3862944         -6.812445       -0.08338161
## X95         2.632564          -2.2072749         -7.236259       -0.89159812
## X96         2.736448          -2.0402208         -7.902008       -1.13943428
## X97         2.546456          -1.8325815         -7.775256       -1.23787436
## X98         2.490948          -2.1202635         -7.706263       -1.27296568
## X99         1.908566          -2.2072749         -7.775256       -1.04982212
## X100        2.619258          -1.8971200         -8.078938       -0.69314718
## X103        2.106653          -1.6607312         -7.452482       -0.82098055
## X104        2.079076          -1.9661129         -7.751725       -0.67334455
## X105        2.371551          -2.1202635         -7.130899       -0.69314718
## X107        2.262201          -1.6607312         -7.435388       -0.37106368
## X108        2.106653          -0.9416085         -6.907755        0.09531018
## X109        2.308607          -2.2072749         -7.957577       -1.30933332
## X110        2.320365          -2.2072749         -8.468403       -1.60943791
## X111        2.247148          -2.0402208         -7.385791       -0.51082562
## X112        2.342236          -0.9416085         -6.571283        0.00000000
## X113        2.320365          -1.7147984         -6.812445        0.33647224
## X114        2.326029          -2.3126354         -7.385791       -0.61618614
## X115        1.751632          -1.5141277         -7.130899       -0.09431068
## X117        2.431242          -2.3227878         -7.621105       -0.91629073
## X118        2.763185          -2.1202635         -7.728736       -1.04982212
## X121        1.882416          -1.8325815         -7.487574       -0.49429632
## X123        2.579644          -1.8325815         -7.929407       -1.07880966
## X124        2.532501          -1.7719568         -7.169120       -0.08338161
## X126        2.231132          -2.0402208         -7.929407       -0.96758403
## X128        2.633721          -1.5606477         -6.645391        0.26236426
## X129        1.996082          -2.0402208         -7.641724       -0.96758403
## X130        2.457283          -1.7147984         -7.169120       -0.40047757
## X131        2.176062          -2.2072749         -7.338538       -0.79850770
## X132        2.239267          -1.3862944         -7.581100       -0.41551544
## X133        2.424185          -1.1086626         -6.377127        0.18232156
## X134        2.457283          -1.7147984         -7.452482       -0.77652879
## X135        1.789161          -1.8325815         -7.278819       -0.79850770
## X136        2.231132          -1.7719568         -7.118476       -0.46203546
## X137        2.466248          -2.0402208         -7.902008       -1.27296568
## X139        2.735867          -2.0402208         -7.278819       -0.86750057
## X140        2.454203          -1.6607312         -7.728736       -0.75502258
## X141        2.165651          -2.0402208         -7.323271       -0.54472718
## X143        2.032084          -1.6094379         -7.208860       -0.51082562
## X144        2.463304          -1.8971200         -7.561682       -0.65392647
## X145        2.205050          -2.2072749         -8.180721       -1.42711636
## X146        1.996082          -1.3862944         -7.208860       -0.05129329
## X147        2.331559          -2.0402208         -7.929407       -1.07880966
## X148        2.119499          -1.0788097         -6.725434        0.26236426
## X149        2.480350          -1.8971200         -7.621105       -1.10866262
## X152        2.500997          -1.3862944         -6.812445       -0.26136476
## X153        2.014615          -2.2072749         -7.118476        0.00000000
## X154        2.505832          -1.9661129         -7.751725       -1.04982212
## X155        2.532501          -1.6607312         -7.542634       -0.84397007
## X156        2.048593          -1.4696760         -7.024289       -0.09431068
## X157        1.955322          -2.1202635         -7.902008       -0.96758403
## X158        2.296235          -2.3025851         -7.684284       -0.94160854
## X159        2.366924          -2.5639499         -8.047190       -1.10866262
## X160        2.550254          -1.8971200         -6.812445       -0.32850407
## X161        2.314560          -1.7719568         -7.469874       -0.40047757
## X162        2.881043          -2.5257286         -8.217089       -1.10866262
## X163        2.768766          -2.2072749         -8.180721       -1.20397280
## X165        2.405433          -1.8971200         -8.111728       -1.23787436
## X166        2.214041          -2.3025851         -8.254829       -1.02165125
## X167        2.389150          -2.0402208         -7.824046       -0.94160854
## X168        2.032084          -1.5141277         -6.812445       -0.35667494
## X169        2.604783          -1.6607312         -7.523941       -0.77652879
## X170        2.064231          -2.3025851         -7.323271       -0.47803580
## X171        2.711100          -1.7147984         -7.369791       -0.19845094
## X172        2.444675          -1.9661129         -7.143478       -0.77652879
## X174        2.165651          -0.9675840         -6.907755        0.00000000
## X175        2.661193          -1.7147984         -6.725434       -0.03045921
## X176        1.955322          -1.6607312         -7.418581       -0.52763274
## X177        2.186083          -2.4418472         -7.293418       -0.65392647
## X178        2.143544          -2.4889147         -7.957577       -0.91629073
## X179        2.106653          -1.3093333         -6.908737        0.64185389
## X180        2.483054          -1.5606477         -7.505592       -0.99425227
## X181        2.106653          -2.0402208         -8.016418       -1.07880966
## X182        2.262201          -1.9661129         -7.662778       -0.69314718
## X183        1.751632          -1.7719568         -7.182192        0.09531018
## X184        2.376085          -1.7719568         -7.385791       -0.73396918
## X185        2.014615          -1.5141277         -7.542634       -0.23572233
## X186        2.247148          -1.7719568         -8.047190       -1.02165125
## X189        2.517407          -2.3859667         -8.217089       -1.38629436
## X190        2.397445          -1.8971200         -7.542634       -0.99425227
## X191        2.222729          -2.3025851         -7.849364       -0.79850770
## X192        2.154822          -2.0402208         -7.369791       -0.71334989
## X193        2.214041          -1.7719568         -7.684284       -0.96758403
## X194        2.666903          -1.4271164         -7.182192       -0.75502258
## X195        2.544526          -1.7719568         -7.338538       -0.61618614
## X197        2.480350          -1.3862944         -7.222466       -0.18632958
## X198        2.447901          -2.3126354         -7.662778       -0.89159812
## X200        2.801517          -2.3751558         -7.875339       -1.02165125
## X201        2.474829          -1.7719568         -7.402052       -0.65392647
## X202        2.747573          -2.1202635         -8.078938       -1.20397280
## X205        2.444675          -1.6607312         -7.354042       -0.73396918
## X208        1.908566          -1.7147984         -7.013116       -0.08338161
## X210        2.515148          -1.3862944         -6.959049       -0.34249031
## X212        1.882416          -1.5606477         -7.902008       -0.73396918
## X213        2.401476          -1.7719568         -7.323271       -0.16251893
## X214        1.996082          -1.8325815         -7.621105       -1.07880966
## X215        2.493510          -1.7719568         -8.145630       -1.42711636
## X216        2.143544          -1.4696760         -7.308233       -0.10536052
## X218        2.405433          -1.3862944         -7.156217        0.33647224
## X219        2.638269          -1.8971200         -7.684284       -0.84397007
## X220        2.308607          -2.4304185         -8.622554       -0.94160854
## X223        2.431242          -1.4271164         -7.338538       -0.35667494
## X224        1.908566          -1.7147984         -7.418581       -1.04982212
## X225        2.629041          -2.4079456         -7.957577       -1.20397280
## X226        2.093196          -2.0402208         -7.600902       -1.10866262
## X227        2.331559          -1.4271164         -6.645391        0.58778666
## X228        2.186083          -2.1202635         -8.334872       -1.46967597
## X229        2.538612          -2.2072749         -8.217089       -0.84397007
## X230        2.079076          -1.5141277         -7.222466       -0.54472718
## X231        2.532501          -2.4651040         -7.354042       -0.54472718
## X232        2.352437          -1.6094379         -7.561682       -0.49429632
## X233        1.882416          -1.7719568         -7.621105       -0.59783700
## X234        2.254788          -1.7147984         -7.047017       -0.24846136
## X236        2.610193          -2.6882476         -8.468403       -1.51412773
## X237        2.434683          -1.5141277         -7.278819       -0.24846136
## X239        1.882416          -2.3644605         -8.016418       -1.77195684
## X240        2.231132          -1.7147984         -7.902008       -1.23787436
## X241        2.079076          -2.5510465         -7.013116       -0.24846136
## X242        2.079076          -0.8209806         -6.165818        0.95551145
## X243        1.908566          -1.5141277         -7.684284       -0.46203546
## X244        2.380527          -2.0402208         -7.641724       -0.71334989
## X245        2.397445          -2.9565116         -8.568486       -1.42711636
## X246        2.578045          -1.2039728         -6.907755       -0.13926207
## X247        2.296235          -2.9004221         -8.421883       -1.34707365
## X249        2.239267          -2.2072749         -8.421883       -1.34707365
## X250        2.048593          -1.8325815         -7.402052       -0.56211892
## X251        1.823113          -2.2072749         -7.986565       -1.27296568
## X253        2.331559          -2.0402208         -7.058578       -0.71334989
## X254        2.413134          -1.8971200         -6.959049       -0.37106368
## X255        2.741567          -1.7147984         -7.236259       -0.06187540
## X256        2.384881          -2.2072749         -8.334872       -1.56064775
## X257        2.836869          -2.0402208         -7.986565       -1.07880966
## X258        2.176062          -1.1711830         -7.208860        0.18232156
## X260        2.296235          -1.8325815         -7.250246        0.09531018
## X261        2.389150          -2.0402208         -8.016418       -0.82098055
## X262        2.427744          -2.0402208         -7.505592       -0.67334455
## X263        2.485721          -2.0402208         -7.222466       -0.41551544
## X264        2.154822          -1.3470736         -6.969631       -0.17435339
## X265        2.262201          -2.2072749         -7.452482       -0.75502258
## X267        2.336959          -2.1202635         -7.600902       -0.91629073
## X268        2.457283          -1.5141277         -7.169120       -0.77652879
## X269        2.262201          -2.4304185         -8.334872       -1.27296568
## X270        1.996082          -2.2072749         -7.902008       -1.23787436
## X271        2.736448          -1.8971200         -7.264430       -0.46203546
## X272        2.262201          -2.3751558         -7.156217       -0.17435339
## X273        2.582800          -1.9661129         -7.849364       -0.96758403
## X274        2.384881          -2.3227878         -7.505592       -0.96758403
## X275        2.780924          -2.0402208         -7.561682       -0.17435339
## X277        2.032084          -1.6607312         -6.991137        0.09531018
## X278        2.131782          -1.8971200         -7.621105       -0.67334455
## X279        2.413134          -1.9661129         -7.600902       -0.73396918
## X281        2.427744          -1.8325815         -7.487574       -0.82098055
## X282        2.106653          -1.4271164         -7.047017       -0.31471074
## X283        2.512862          -1.6607312         -7.156217       -0.63487827
## X287        2.106653          -1.7719568         -7.208860       -0.54472718
## X289        2.032084          -1.7147984         -7.929407       -0.75502258
## X290        2.247148          -2.0402208         -7.469874       -1.02165125
## X291        2.553974          -1.8325815         -7.369791       -0.79850770
## X292        2.731131          -2.0402208         -7.581100       -0.57981850
## X294        1.996082          -2.1202635         -7.523941       -0.75502258
## X297        2.342236          -1.7719568         -7.799353       -0.71334989
## X298        1.955322          -1.6607312         -7.385791       -0.43078292
## X299        2.624223          -2.4079456         -7.600902       -1.23787436
## X301        2.079076          -2.0402208         -8.180721       -0.84397007
## X302        1.955322          -2.1202635         -7.542634       -0.43078292
## X303        2.205050          -1.7719568         -7.354042       -0.10536052
## X304        2.669681          -1.7147984         -7.902008       -1.30933332
## X305        2.573156          -1.8971200         -7.070274       -0.54472718
## X306        2.789726          -1.3862944         -7.222466        0.18232156
## X307        2.761752          -1.1394343         -7.024289       -0.08338161
## X308        2.463304          -1.0498221         -7.250246        0.09531018
## X311        1.932789          -1.7719568         -7.118476       -0.08338161
## X312        2.734317          -1.6094379         -7.264430       -0.69314718
## X313        2.822737          -1.7147984         -7.070274       -0.27443685
## X314        2.561191          -2.5133061         -7.849364       -1.20397280
## X315        2.362198          -1.1711830         -6.725434        0.40546511
## X316        1.976365          -1.8971200         -7.469874       -0.91629073
## X317        2.262201          -2.1202635         -7.418581       -0.86750057
## X320        2.792780          -1.0498221         -6.377127        0.47000363
## X321        2.331559          -1.4271164         -6.959049        0.26236426
## X322        2.231132          -1.4696760         -7.236259       -0.11653382
## X323        2.649104          -2.1202635         -7.435388       -0.56211892
## X324        2.376085          -2.6882476         -8.679712       -1.77195684
## X325        2.032084          -2.1202635         -7.581100       -0.34249031
## X326        2.438068          -2.0402208         -7.957577       -1.56064775
## X327        2.314560          -1.5606477         -7.236259       -0.79850770
## X329        1.908566          -1.9661129         -8.047190       -0.75502258
## X330        1.789161          -0.7765288         -6.645391        0.74193734
## X331        2.596327          -1.8971200         -7.469874       -0.56211892
## X332        2.289800          -2.0402208         -7.581100       -0.57981850
## X333        2.498534          -1.7719568         -7.195437       -0.49429632
##      Apolipoprotein_B Apolipoprotein_CI Apolipoprotein_CIII Apolipoprotein_D
## X1          -4.624044        -1.2729657           -2.312635        2.0794415
## X2          -6.747507        -1.2729657           -2.343407        1.3350011
## X3          -3.976069        -1.7147984           -2.748872        1.3350011
## X5          -3.378594        -0.7550226           -1.514128        1.6292405
## X6          -2.963532        -1.6607312           -2.312635        1.9169226
## X7          -7.288830        -1.6607312           -2.375156        1.5260563
## X8          -3.888287        -0.9675840           -2.120264        1.7227666
## X9          -5.941894        -1.7719568           -2.476938        0.9555114
## X11         -5.702912        -1.5141277           -2.322788        1.4109870
## X12         -4.166581        -1.0498221           -1.832581        1.2809338
## X14         -3.357973        -1.5606477           -2.563950        1.3350011
## X16         -4.235078        -1.6607312           -2.577022        1.3609766
## X17         -4.068671        -1.3862944           -2.312635        1.0986123
## X18         -5.421759        -2.0402208           -3.057608        1.4109870
## X19         -4.200492        -1.2039728           -2.120264        1.3609766
## X20         -4.133321        -1.3862944           -1.771957        1.3862944
## X21         -6.517424        -2.1202635           -2.322788        0.9162907
## X22         -7.141616        -2.4769385           -3.036554        1.3083328
## X23         -7.141616        -1.9661129           -2.780621        0.4700036
## X24         -7.288830        -1.7147984           -2.465104        1.9021075
## X25         -7.141616        -1.7147984           -2.333044        1.8245493
## X26         -6.747507        -1.8971200           -2.577022        0.8754687
## X28         -8.932463        -1.6607312           -2.590267        1.7227666
## X29         -8.191715        -2.0402208           -2.975930        1.1631508
## X30         -6.308494        -1.3470736           -2.385967        1.4586150
## X31         -5.557525        -1.2729657           -2.040221        1.5040774
## X34         -4.458204        -1.3093333           -1.897120        1.3083328
## X35         -2.963532        -0.7133499           -1.966113        1.2809338
## X36         -2.678962        -0.4155154           -1.560648        1.9600948
## X37         -7.002855        -1.8971200           -2.703063        1.6292405
## X38         -4.458204        -1.7147984           -2.733368        1.0986123
## X39         -7.002855        -1.8325815           -3.057608        1.1314021
## X40         -4.581146        -1.5606477           -2.659260        1.4586150
## X41         -2.814127        -0.6348783           -1.427116        1.6486586
## X42         -5.779603        -1.6094379           -2.830218        1.1314021
## X43         -4.712962        -1.8971200           -2.900422        1.0647107
## X44         -2.963532        -1.8325815           -2.900422        1.4109870
## X45         -4.581146        -1.7147984           -2.322788        1.7404662
## X46         -5.941894        -2.0402208           -3.079114        0.9555114
## X47         -6.027915        -1.7147984           -2.551046        0.9932518
## X48         -7.288830        -1.8971200           -2.525729        1.1631508
## X50         -4.539232        -1.4696760           -2.120264        1.2809338
## X51         -6.210929        -1.4696760           -2.513306        1.6677068
## X53         -2.152627        -1.6094379           -2.476938        1.0296194
## X55         -4.539232        -1.6607312           -2.563950        1.2237754
## X56         -5.008267        -1.1711830           -2.513306        1.6677068
## X57         -6.117503        -2.1202635           -2.937463        1.5475625
## X59         -4.458204        -1.2039728           -1.966113        1.7227666
## X60         -5.941894        -1.7147984           -2.796881        1.5892352
## X61         -4.581146        -1.8325815           -2.864704        0.9555114
## X62         -7.141616        -1.8325815           -2.513306        1.1631508
## X63         -5.008267        -1.9661129           -2.659260        0.9932518
## X64         -3.317541        -1.0788097           -1.897120        1.3350011
## X65         -6.410533        -2.2072749           -2.830218        0.9555114
## X67         -6.308494        -1.8971200           -2.603690        1.0647107
## X68         -4.419017        -1.4696760           -2.476938        1.6486586
## X69         -8.191715        -1.8971200           -2.617296        0.9932518
## X70         -6.210929        -1.9661129           -3.015935        1.3350011
## X71         -7.445450        -1.8325815           -2.563950        0.7419373
## X72         -2.242336        -0.8641926           -1.714763        1.8718022
## X73         -4.539232        -1.7147984           -2.207275        1.0296194
## X74         -3.860022        -1.3093333           -2.120264        1.3862944
## X75         -3.130065        -1.0498221           -2.120264        1.2527630
## X76         -5.294544        -1.6094379           -2.513306        1.6094379
## X77         -4.624044        -1.2039728           -2.207275        1.3862944
## X78         -4.806353        -1.7147984           -2.733368        2.0794415
## X80         -4.306372        -1.7147984           -2.476938        1.5040774
## X81         -6.747507        -1.5606477           -2.780621        1.3862944
## X82         -6.117503        -1.6094379           -2.590267        1.7917595
## X83         -7.141616        -1.8971200           -2.645075        1.6292405
## X84         -3.725527        -2.0402208           -2.847312        1.2809338
## X85         -5.702912        -1.4696760           -2.551046        1.7047481
## X86         -7.002855        -0.9416085           -2.207275        1.6863990
## X88         -4.419017        -1.7147984           -2.645075        1.6863990
## X90         -8.417032        -2.5133061           -3.473768        1.0296194
## X93         -6.871722        -1.5141277           -2.780621        1.5475625
## X94         -5.008267        -0.6931472           -1.832581        2.1633230
## X95         -6.027915        -1.4696760           -1.966113        1.3350011
## X96         -5.859197        -2.0402208           -2.748872        1.4586150
## X97         -7.791589        -1.7147984           -2.830218        1.7917595
## X98         -7.288830        -1.8325815           -2.590267        1.0986123
## X99         -3.378594        -1.6607312           -2.590267        1.6094379
## X100        -5.117801        -1.7147984           -2.975930        1.5686159
## X103        -5.062260        -1.5606477           -2.453408        1.5686159
## X104        -4.458204        -1.5606477           -2.830218        1.4350845
## X105        -6.517424        -1.4271164           -2.631089        1.3609766
## X107        -3.442152        -1.6607312           -2.501036        1.5686159
## X108        -5.859197        -1.2378744           -2.207275        2.1517622
## X109        -7.983999        -1.8971200           -2.995732        1.1314021
## X110        -9.936906        -3.3242363           -3.688879        0.8754687
## X111        -5.941894        -1.3862944           -2.659260        1.4816045
## X112        -4.854854        -0.8915981           -1.609438        1.8405496
## X113        -2.152627        -1.1394343           -1.897120        1.4816045
## X114        -5.008267        -1.8325815           -2.302585        1.5686159
## X115        -3.751559        -0.8439701           -2.120264        1.8082888
## X117        -6.517424        -1.7147984           -2.207275        1.3862944
## X118        -5.233853        -1.7719568           -2.590267        1.7404662
## X121        -3.976069        -1.3862944           -2.207275        2.0794415
## X123        -7.983999        -1.8325815           -2.703063        1.1939225
## X124        -6.308494        -1.7719568           -2.525729        1.8718022
## X126        -4.904631        -1.8325815           -3.079114        0.8329091
## X128        -2.442874        -0.8209806           -1.237874        1.7917595
## X129        -5.859197        -1.7147984           -3.324236        1.3609766
## X130        -5.702912        -1.3862944           -2.120264        1.2237754
## X131        -5.628941        -1.5141277           -2.538307        0.9162907
## X132        -4.539232        -1.7719568           -2.577022        1.3862944
## X133        -2.555800        -0.8209806           -1.660731        2.1162555
## X134        -4.624044        -1.9661129           -2.120264        1.7227666
## X135        -5.557525        -1.3862944           -2.207275        1.8082888
## X136        -2.678962        -1.2039728           -2.407946        1.5260563
## X137        -7.002855        -2.1202635           -2.733368        0.7419373
## X139        -5.702912        -1.5141277           -2.441847        1.2527630
## X140        -5.233853        -1.8325815           -2.645075        1.8718022
## X141        -4.539232        -1.5606477           -2.302585        1.6486586
## X143        -5.117801        -1.3470736           -2.396896        1.1939225
## X144        -5.233853        -1.7719568           -2.748872        1.5260563
## X145        -8.191715        -2.1202635           -2.847312        1.0647107
## X146        -4.166581        -1.5606477           -2.302585        2.0412203
## X147        -5.062260        -1.8325815           -2.733368        1.8082888
## X148        -3.888287        -0.9416085           -2.302585        2.0281482
## X149        -6.629589        -1.5606477           -2.780621        1.1314021
## X152        -3.399492        -1.0788097           -2.040221        2.1972246
## X153        -4.380670        -1.2378744           -2.465104        2.0918641
## X154        -4.806353        -1.6607312           -2.513306        0.9555114
## X155        -4.955747        -1.4271164           -2.120264        1.5892352
## X156        -5.233853        -1.2039728           -2.120264        1.3862944
## X157        -5.357143        -1.6094379           -2.577022        1.4586150
## X158        -5.859197        -1.7719568           -2.937463        1.1939225
## X159        -6.027915        -1.6607312           -2.513306        0.6931472
## X160        -5.294544        -1.2729657           -2.375156        1.3350011
## X161        -4.712962        -1.6094379           -2.577022        1.1939225
## X162        -5.357143        -1.8971200           -3.057608        1.0986123
## X163        -6.410533        -2.0402208           -3.411248        0.9555114
## X165        -6.210929        -2.0402208           -3.506558        1.1314021
## X166        -6.308494        -1.8971200           -2.718101        1.1631508
## X167        -6.210929        -1.6094379           -2.882404        1.5475625
## X168        -5.294544        -1.0788097           -2.120264        1.2809338
## X169        -8.417032        -1.8971200           -2.645075        1.5475625
## X170        -5.357143        -1.2729657           -2.353878        1.2809338
## X171        -4.624044        -1.6607312           -2.703063        1.6486586
## X172        -6.210929        -1.4271164           -2.302585        1.3609766
## X174        -4.166581        -0.6348783           -1.386294        1.9600948
## X175        -2.963532        -0.5978370           -1.609438        2.2721259
## X176        -3.649844        -1.7147984           -2.718101        1.3609766
## X177        -6.871722        -1.6094379           -2.937463        1.5475625
## X178        -6.871722        -1.8325815           -2.577022        0.7884574
## X179        -3.531121        -0.8400523           -1.469676        1.8562980
## X180        -6.629589        -1.5141277           -2.501036        1.9878743
## X181        -6.410533        -2.0402208           -3.352407        1.1631508
## X182        -6.117503        -1.3862944           -2.207275        1.4109870
## X183        -4.166581        -1.0216512           -1.832581        2.0014800
## X184        -5.557525        -1.7719568           -2.673649        1.6863990
## X185        -3.699905        -1.4696760           -2.120264        1.4816045
## X186        -6.747507        -1.9661129           -2.796881        1.3083328
## X189        -5.233853        -2.1202635           -2.796881        1.3862944
## X190        -7.141616        -1.7719568           -2.995732        1.7917595
## X191        -5.941894        -1.6607312           -2.617296        1.7404662
## X192        -5.779603        -1.7719568           -2.847312        1.4109870
## X193        -5.294544        -1.6607312           -2.385967        1.4350845
## X194        -4.581146        -1.6094379           -2.488915        1.5475625
## X195        -7.445450        -1.4271164           -2.703063        1.0986123
## X197        -5.062260        -1.3862944           -2.302585        1.7917595
## X198        -8.191715        -1.6607312           -3.146555        1.3083328
## X200        -5.702912        -1.6094379           -2.419119        1.5892352
## X201        -4.904631        -1.7147984           -2.733368        1.4586150
## X202        -5.859197        -2.3434071           -2.617296        0.8754687
## X205        -6.117503        -1.7147984           -2.937463        1.2527630
## X208        -5.859197        -1.5141277           -2.577022        1.7047481
## X210        -4.380670        -1.4696760           -1.966113        1.7404662
## X212        -6.517424        -1.8325815           -2.563950        1.0647107
## X213        -5.859197        -1.5606477           -2.364460        1.6486586
## X214        -2.338769        -1.7719568           -2.040221        1.1631508
## X215        -7.612597        -2.2072749           -2.937463        0.7419373
## X216        -3.976069        -1.4271164           -2.673649        1.3083328
## X218        -4.759074        -1.1711830           -2.120264        1.7917595
## X219        -6.871722        -1.3862944           -2.488915        1.0986123
## X220        -6.871722        -2.0402208           -2.995732        1.1939225
## X223        -7.141616        -1.1711830           -1.966113        1.8718022
## X224        -6.117503        -1.5606477           -2.396896        1.2809338
## X225        -8.417032        -1.7719568           -2.703063        1.3083328
## X226        -6.210929        -1.8325815           -3.123566        1.8870696
## X227        -6.210929        -0.8915981           -1.771957        2.0412203
## X228        -8.417032        -2.0402208           -3.194183        0.7884574
## X229        -7.002855        -2.2072749           -2.937463        1.6486586
## X230        -4.270363        -1.6094379           -2.207275        1.5260563
## X231        -5.779603        -1.5141277           -2.563950        1.2527630
## X232        -6.747507        -1.7719568           -3.079114        1.3083328
## X233        -5.859197        -1.2378744           -2.501036        1.5686159
## X234        -4.624044        -1.1711830           -2.040221        1.8405496
## X236        -7.445450        -2.1202635           -3.170086        1.1631508
## X237        -5.488510        -1.0788097           -2.385967        1.7404662
## X239        -7.612597        -2.5902672           -3.057608        1.1631508
## X240        -6.517424        -2.2072749           -2.577022        0.9932518
## X241        -4.006378        -1.3862944           -2.040221        1.3350011
## X242        -4.581146        -0.2744368           -1.469676        1.5040774
## X243        -5.941894        -1.7719568           -2.419119        1.4350845
## X244        -4.904631        -1.5141277           -2.396896        1.3862944
## X245        -8.191715        -2.6736488           -3.540459        0.8329091
## X246        -6.517424        -1.1394343           -2.120264        1.8562980
## X247        -7.141616        -2.3968958           -3.473768        0.6418539
## X249        -7.288830        -1.9661129           -3.411248        1.1631508
## X250        -5.557525        -1.9661129           -2.748872        1.1939225
## X251        -6.027915        -2.0402208           -2.918771        1.2527630
## X253        -4.200492        -1.5606477           -2.207275        1.6486586
## X254        -6.747507        -1.3862944           -2.207275        1.8870696
## X255        -3.601291        -0.9162907           -2.040221        1.8082888
## X256        -8.417032        -2.2072749           -3.079114        0.8754687
## X257        -6.210929        -1.8971200           -2.631089        1.0647107
## X258        -4.100692        -1.2729657           -2.322788        0.8754687
## X260        -3.508403        -1.3862944           -2.577022        1.4816045
## X261        -6.629589        -1.7147984           -2.631089        0.9932518
## X262        -5.233853        -1.5141277           -2.918771        1.2527630
## X263        -4.806353        -1.1711830           -2.040221        1.6863990
## X264        -8.417032        -1.3470736           -1.897120        2.0014800
## X265        -6.210929        -1.7719568           -2.780621        1.4109870
## X267        -5.859197        -1.8971200           -2.525729        1.8718022
## X268        -4.806353        -1.4696760           -2.353878        1.4109870
## X269        -5.702912        -2.2072749           -3.101093        1.1314021
## X270        -6.308494        -1.8325815           -3.244194        1.5686159
## X271        -4.806353        -1.5606477           -2.465104        1.6094379
## X272        -7.288830        -1.2378744           -2.441847        1.5686159
## X273        -7.002855        -1.9661129           -3.036554        1.4109870
## X274        -5.233853        -1.6094379           -2.864704        1.3083328
## X275        -6.117503        -1.4696760           -2.513306        1.6094379
## X277        -3.130065        -1.3093333           -2.207275        1.4586150
## X278        -4.955747        -2.0402208           -2.430418        1.5475625
## X279        -6.871722        -1.7147984           -2.302585        1.5686159
## X281        -4.806353        -1.7719568           -2.551046        1.5892352
## X282        -4.498264        -1.4696760           -2.040221        1.2527630
## X283        -4.343131        -1.1394343           -2.207275        1.6094379
## X287        -5.174970        -1.1711830           -2.120264        1.1314021
## X289        -6.308494        -1.7147984           -2.764621        1.4586150
## X290        -7.002855        -1.8971200           -2.688248        0.9555114
## X291        -6.517424        -1.6607312           -2.631089        1.6863990
## X292        -7.141616        -1.5141277           -2.525729        1.8405496
## X294        -9.936906        -1.6607312           -2.207275        1.5040774
## X297        -7.288830        -1.9661129           -2.864704        1.4350845
## X298        -6.410533        -1.6607312           -2.590267        1.2809338
## X299        -5.941894        -1.7147984           -2.364460        1.7047481
## X301        -6.871722        -1.9661129           -2.864704        1.2527630
## X302        -6.410533        -1.7147984           -2.603690        1.3609766
## X303        -6.629589        -1.5141277           -2.918771        1.5686159
## X304        -7.288830        -1.7719568           -2.617296        1.3862944
## X305        -4.498264        -1.3093333           -2.538307        1.7227666
## X306        -6.210929        -1.0216512           -1.609438        1.8870696
## X307        -4.581146        -1.2039728           -1.560648        2.2512918
## X308        -4.581146        -1.5141277           -1.832581        1.7917595
## X311        -3.420676        -0.8915981           -2.040221        1.5686159
## X312        -7.002855        -1.5141277           -2.040221        1.3609766
## X313        -7.288830        -1.3093333           -2.302585        1.6486586
## X314        -7.983999        -2.0402208           -3.352407        1.3083328
## X315        -3.357973        -0.9162907           -1.560648        1.5892352
## X316        -4.854854        -1.2378744           -2.476938        1.1939225
## X317        -6.747507        -1.6607312           -2.617296        1.2527630
## X320        -3.508403        -0.3856625           -1.386294        1.4350845
## X321        -3.130065        -0.8915981           -2.207275        1.3350011
## X322        -7.445450        -1.0216512           -2.120264        1.4109870
## X323        -5.779603        -1.8325815           -2.764621        1.3083328
## X324        -6.517424        -2.6592600           -3.101093        1.2237754
## X325        -6.308494        -1.5606477           -2.847312        1.6677068
## X326        -6.210929        -2.1202635           -2.918771        1.3083328
## X327        -4.498264        -1.6094379           -2.120264        1.9740810
## X329        -6.629589        -1.6607312           -2.796881        1.1939225
## X330        -4.759074        -0.9416085           -1.514128        1.9169226
## X331        -5.421759        -1.4696760           -2.733368        1.2809338
## X332        -5.008267        -1.6094379           -2.617296        1.6863990
## X333        -4.806353        -1.4271164           -2.385967        1.5475625
##      Apolipoprotein_E Apolipoprotein_H B_Lymphocyte_Chemoattractant_BL
## X1          3.7545215      -0.15734908                       2.2969819
## X2          3.0971187      -0.57539617                       1.6731213
## X3          2.7530556      -0.34483937                       1.6731213
## X5          3.0671471       0.66263455                       2.2969819
## X6          0.5911464       0.09715030                       2.4798381
## X7          4.2548002      -0.34483937                       1.6731213
## X8          1.9385358       0.09715030                       3.7036702
## X9          2.7200688      -1.26939244                       2.3713615
## X11         2.7200688      -0.28367882                       1.8527528
## X12         3.1563503      -0.78459824                       2.6867663
## X14         2.4440754      -0.21347474                       1.6731213
## X16         2.5848812      -0.53172814                       2.9757467
## X17         2.7857346      -0.03027441                       3.0064666
## X18         2.0627326      -0.48946700                       1.2740115
## X19         1.5787922      -0.23651381                       2.2786154
## X20         2.3713615       0.09715030                       2.0627326
## X21         2.4079204      -0.37004744                       1.4308338
## X22         2.8181133      -0.80232932                       1.9805094
## X23         1.8527528      -0.63604036                       0.7317775
## X24         3.7797161      -0.54612169                       1.8527528
## X25         1.8088944      -0.38282097                       1.8527528
## X26         2.6531400      -0.35738780                       1.8527528
## X28         3.6261997      -0.24816638                       1.8527528
## X29         1.8959582      -0.63604036                       2.3713615
## X30         1.8527528      -0.54612169                       0.7987698
## X31         2.7200688       0.00000000                       2.0219013
## X34         1.8959582       0.00000000                       2.3713615
## X35         2.1427912      -0.44849801                       1.9805094
## X36         3.0971187       0.59114642                       3.4937139
## X37         2.5848812      -0.46201723                       2.1820549
## X38         2.5848812      -0.56067607                       2.3713615
## X39         3.1856203      -0.59028711                       2.0627326
## X40         2.2591348      -0.38282097                       2.0627326
## X41         2.7200688       0.44019756                       2.6867663
## X42         2.5152196      -0.38282097                       2.5152196
## X43         1.9805094      -0.63604036                       2.1427912
## X44         2.8501989      -0.37004744                       1.6731213
## X45         3.7797161       0.18913439                       2.1820549
## X46         3.2146659      -0.73298708                       2.6531400
## X47         2.0627326      -0.46201723                       2.3713615
## X48         4.2548002      -0.57539617                       2.5848812
## X50         3.6000471      -0.10317121                       2.3713615
## X51         3.3566831      -0.38282097                       1.9805094
## X53         3.0369315      -0.48946700                       1.2740115
## X55         2.8181133      -0.38282097                       0.7317775
## X56         3.6261997      -0.03027441                       2.6867663
## X57         3.6521859      -0.80232932                       2.6867663
## X59         2.5502306      -0.03027441                       2.9757467
## X60         2.6531400      -0.37004744                       1.6731213
## X61         2.7530556      -0.33239959                       1.2740115
## X62         2.4440754      -1.11122739                       1.2740115
## X63         2.9447661      -0.34483937                       2.3713615
## X64         1.5303762       0.18913439                       2.9757467
## X65         3.0671471      -0.83865049                       1.6731213
## X67         2.9447661      -0.80232932                       1.9805094
## X68         3.0064666      -0.17955518                       2.3713615
## X69         1.8527528      -0.74993753                       1.2740115
## X70         3.3566831      -0.65167154                       2.1820549
## X71         3.1563503      -0.76713789                       2.0627326
## X72         4.0237466       0.27662577                       2.6531400
## X73         4.0237466      -0.34483937                       2.0627326
## X74         1.6731213       0.00000000                       2.0219013
## X75         2.6191813       0.00000000                       2.3713615
## X76         3.3005016      -0.20208470                       2.6867663
## X77         2.6531400       0.00000000                       1.9805094
## X78         3.6521859       0.27662577                       1.8527528
## X80         2.4079204      -0.15734908                       2.0219013
## X81         3.3566831      -0.35738780                       1.9805094
## X82         2.2591348      -0.47567232                       2.7530556
## X83         2.8181133      -0.74993753                       2.3713615
## X84         2.2591348      -0.56067607                       1.9805094
## X85         4.2548002      -0.08200644                       1.9805094
## X86         4.0237466       0.59114642                       3.4937139
## X88         2.7857346      -0.04049051                       2.4440754
## X90         1.5787922      -0.99753895                       1.5303762
## X93         3.0671471       0.09715030                       2.6867663
## X94         4.6844119       0.00000000                       2.9757467
## X95         2.5502306      -0.38282097                       1.2740115
## X96         3.0971187      -0.51749076                       2.1820549
## X97         3.4937139      -0.54612169                       2.1820549
## X98         2.9447661      -0.87620360                       0.7987698
## X99         3.0064666      -0.39571116                       2.6531400
## X100        2.8181133      -0.50340513                       1.9805094
## X103        4.2548002      -0.53172814                       2.3713615
## X104        2.3713615      -0.43511112                       1.9805094
## X105        4.0237466      -0.46201723                       1.2740115
## X107        2.1427912      -0.15734908                       1.8527528
## X108        3.1563503       0.27662577                       2.0219013
## X109        3.4120676      -0.76713789                       1.2740115
## X110        1.1637797      -1.13570251                       1.4810717
## X111        2.3713615      -0.40872089                       2.3713615
## X112        3.2146659      -0.17955518                       2.2969819
## X113        3.2146659       0.66263455                       2.1820549
## X114        1.3796139      -0.32006598                       2.1820549
## X115        2.1427912      -0.03027441                       2.9757467
## X117        3.1268514      -0.69979867                       2.2969819
## X118        4.0237466      -0.37004744                       1.8527528
## X121        2.9135187      -0.03027441                       2.6867663
## X123        1.9385358      -0.87620360                       1.6731213
## X124        2.4798381       0.36016589                       2.3713615
## X126        1.9385358      -0.44849801                       2.3713615
## X128        2.8819985       0.18913439                       2.3713615
## X129        1.7643559      -0.53172814                       2.6867663
## X130        3.5205617       0.09715030                       3.0064666
## X131        2.6867663      -0.51749076                       2.2208309
## X132        2.4079204       0.00000000                       1.6731213
## X133        3.2146659       0.51708817                       2.1820549
## X134        2.3343863       0.09715030                       2.7530556
## X135        4.0237466      -0.32006598                       1.6731213
## X136        2.1427912      -0.69979867                       2.3713615
## X137        1.8088944      -0.73298708                       0.7317775
## X139        1.9805094      -0.40872089                       2.1820549
## X140        3.4666845      -0.19077873                       1.8527528
## X141        3.0671471      -0.08200644                       2.1820549
## X143        2.6867663      -0.12462010                       1.8527528
## X144        2.3343863      -0.44849801                       1.8527528
## X145        2.4440754      -0.48946700                       0.7987698
## X146        3.0971187       0.18913439                       2.4798381
## X147        3.0971187      -0.89547834                       1.8527528
## X148        3.0671471       0.66263455                       3.4937139
## X149        3.4394702      -0.63604036                       1.2740115
## X152        4.8854423      -0.27174693                       2.4798381
## X153        3.3566831       0.18913439                       2.1820549
## X154        2.9135187      -0.66750355                       1.2740115
## X155        1.6263611      -0.28367882                       1.6731213
## X156        3.1856203       0.09715030                       1.6731213
## X157        3.0064666      -0.39571116                       2.0219013
## X158        3.0671471      -0.69979867                       1.4810717
## X159        2.3343863      -0.65167154                       1.8813120
## X160        4.2548002      -0.42185317                       2.0627326
## X161        3.3566831      -0.07152751                       2.3713615
## X162        3.2434918      -0.65167154                       1.9805094
## X163        2.4079204      -0.76713789                       1.9805094
## X165        2.6867663      -0.54612169                       1.4308338
## X166        2.7200688      -0.66750355                       0.9269604
## X167        4.0237466      -0.60535429                       2.5152196
## X168        3.7797161      -0.39571116                       2.0627326
## X169        2.5502306      -0.39571116                       1.8527528
## X170        2.3343863      -0.25991011                       1.4308338
## X171        3.6780085      -0.17955518                       1.9805094
## X172        2.5502306      -0.43511112                       1.6731213
## X174        2.7857346      -0.35738780                       2.3713615
## X175        2.8501989       0.09715030                       2.0219013
## X176        2.6191813      -0.71627709                       2.6867663
## X177        2.1030230      -0.51749076                       1.5303762
## X178        1.8088944      -0.63604036                       1.9805094
## X179        4.0237466       0.44019756                       2.4798381
## X180        2.9135187      -0.25991011                       3.0064666
## X181        2.1030230      -0.51749076                       1.7643559
## X182        3.3844731      -0.40872089                       1.6731213
## X183        1.1637797       0.09715030                       1.8527528
## X184        2.9447661      -0.35738780                       2.1820549
## X185        2.8819985      -0.66750355                       2.3713615
## X186        2.1820549      -0.40872089                       1.4308338
## X189        2.8819985      -0.66750355                       1.4308338
## X190        3.5737252      -0.38282097                       1.9805094
## X191        2.5502306      -0.43511112                       1.9805094
## X192        2.9447661      -0.76713789                       1.9805094
## X193        2.9447661      -0.27174693                       2.3713615
## X194        1.5787922      -0.22495053                       1.9805094
## X195        3.7545215      -0.56067607                       1.2740115
## X197        2.7857346      -0.01003016                       2.1820549
## X198        2.3343863      -0.56067607                       0.9269604
## X200        3.0369315      -0.42185317                       2.0219013
## X201        2.7200688      -0.32006598                       2.3713615
## X202        2.1820549      -0.66750355                       0.7987698
## X205        3.1563503      -0.40872089                       1.8527528
## X208        2.9757467       0.09715030                       1.9805094
## X210        3.0369315      -0.16841247                       1.8527528
## X212        1.8959582      -0.15734908                       1.9805094
## X213        2.8819985       0.18913439                       1.4308338
## X214        2.2969819      -0.23651381                       1.2740115
## X215        2.6531400      -0.60535429                       1.2740115
## X216        1.3796139       0.09715030                       2.3713615
## X218        2.3713615       0.44019756                       2.9757467
## X219        2.6191813      -0.38282097                       1.9805094
## X220        3.1856203      -0.65167154                       2.3713615
## X223        2.4079204      -0.03027441                       1.6731213
## X224        2.9447661      -0.24816638                       1.2740115
## X225        3.6780085      -0.66750355                       1.2740115
## X226        3.3844731      -0.56067607                       2.6867663
## X227        2.7200688       0.92696036                       2.2969819
## X228        1.8959582      -0.68354345                       0.7987698
## X229        1.1067498      -1.06412706                       1.4308338
## X230        4.0237466       0.00000000                       1.8527528
## X231        3.0064666      -0.83865049                       1.8527528
## X232        3.6521859      -0.16841247                       2.6867663
## X233        1.0483341      -0.23651381                       1.9805094
## X234        3.7036702       0.09715030                       1.4308338
## X236        3.1563503      -0.60535429                       1.4308338
## X237        2.8819985       0.09715030                       2.6867663
## X239        0.9884391      -0.76713789                       0.7987698
## X240        2.2208309      -0.39571116                       0.7987698
## X241        3.3844731      -0.21347474                       1.8527528
## X242        1.2195081       0.24675221                       2.2208309
## X243        2.3343863      -0.07152751                       2.6867663
## X244        2.7200688      -0.32006598                       2.3713615
## X245        1.1637797      -0.83865049                       1.5303762
## X246        3.4666845       0.36016589                       1.6731213
## X247        2.0627326      -0.69979867                       1.5303762
## X249        3.6000471      -0.39571116                       2.1820549
## X250        2.7200688      -2.23379225                       2.0627326
## X251        2.2969819      -0.71627709                       2.1820549
## X253        2.1820549      -0.82034264                       2.8501989
## X254        4.2548002      -0.42185317                       2.2969819
## X255        3.3844731      -0.21347474                       2.3713615
## X256        2.7857346      -0.74993753                       1.9805094
## X257        1.8088944      -0.62060338                       1.5303762
## X258        3.0971187      -0.16841247                       2.3713615
## X260        2.9757467       0.09715030                       2.3713615
## X261        2.7200688      -0.66750355                       1.5303762
## X262        2.5848812      -0.57539617                       1.9805094
## X263        3.4394702      -0.24816638                       2.3713615
## X264        2.0219013       0.27662577                       2.3713615
## X265        3.5472311      -0.47567232                       2.3713615
## X267        3.6261997      -0.48946700                       2.1820549
## X268        3.3566831      -0.08200644                       1.9805094
## X269        2.5152196      -0.71627709                       0.7987698
## X270        3.2434918      -0.93510686                       1.5303762
## X271        2.5502306       0.18913439                       1.9805094
## X272        3.6000471      -0.05077067                       2.3713615
## X273        3.2721023      -0.30783617                       2.6867663
## X274        2.7200688      -0.51749076                       1.5303762
## X275        3.6780085      -0.13545431                       1.6731213
## X277        2.9447661      -0.51749076                       1.4308338
## X278        3.0671471      -0.14636351                       1.2740115
## X279        2.5848812      -0.32006598                       0.9884391
## X281        2.8181133      -0.30783617                       1.8527528
## X282        2.2591348      -0.06111597                       2.3713615
## X283        4.8854423      -0.03027441                       4.0237466
## X287        3.6000471      -0.46201723                       1.2740115
## X289        1.8088944      -0.35738780                       1.2740115
## X290        1.8088944      -0.50340513                       1.0483341
## X291        3.1856203      -0.82034264                       1.8527528
## X292        3.7797161      -0.05077067                       2.2969819
## X294        2.9135187      -0.37004744                       1.6731213
## X297        3.0971187      -0.53172814                       2.1820549
## X298        1.6731213      -0.16841247                       1.6731213
## X299        3.2434918      -0.60535429                       1.8527528
## X301        1.9385358      -0.30783617                       2.3713615
## X302        1.3796139      -0.32006598                       0.7987698
## X303        2.8501989      -0.16841247                       1.9805094
## X304        2.4798381      -0.63604036                       1.9805094
## X305        4.6844119      -0.80232932                       1.9805094
## X306        3.1856203      -0.12462010                       2.2969819
## X307        3.3005016       0.36016589                       2.0219013
## X308        2.2208309       0.18913439                       1.2740115
## X311        1.5787922      -0.19077873                       2.6867663
## X312        4.0237466      -0.66750355                       2.3713615
## X313        2.3343863      -0.28367882                       2.6867663
## X314        2.5502306      -0.85726607                       1.5303762
## X315        3.3286939       0.27662577                       1.6731213
## X316        2.8819985      -0.65167154                       1.6731213
## X317        3.4937139      -0.63604036                       1.2740115
## X320        2.2208309       0.59114642                       2.0627326
## X321        1.1637797      -0.01003016                       1.2740115
## X322        5.4441788       0.36016589                       2.6867663
## X323        3.1268514      -0.03027441                       2.3713615
## X324        2.2208309      -0.83865049                       1.6731213
## X325        3.7036702       0.00000000                       2.9757467
## X326        2.3343863      -0.60535429                       2.5152196
## X327        3.1268514      -0.06111597                       2.7530556
## X329        3.4666845      -0.87620360                       1.9805094
## X330        1.4308338       0.86378110                       1.8527528
## X331        1.8088944      -0.38282097                       2.3713615
## X332        2.2208309      -0.19077873                       2.6867663
## X333        3.6000471      -0.25991011                       2.6867663
##           BMP_6 Beta_2_Microglobulin Betacellulin C_Reactive_Protein       CD40
## X1   -2.2007445           0.69314718           34          -4.074542 -0.7964147
## X2   -1.7280531           0.47000363           53          -6.645391 -1.2733760
## X3   -2.0624206           0.33647224           49          -8.047190 -1.2415199
## X5   -1.2415199           0.33647224           67          -4.342806 -0.9240345
## X6   -1.8774117          -0.54472718           51          -7.561682 -1.7844998
## X7   -1.8452133          -0.04082199           41          -7.581100 -1.0965412
## X8   -1.9829118          -0.07257069           42          -6.165818 -1.8643733
## X9   -1.6752524           0.00000000           58          -7.070274 -1.4919984
## X11  -1.4130880           0.18232156           32          -6.645391 -1.3405665
## X12  -1.9679750          -0.10536052           43          -4.828314 -1.3405665
## X14  -2.0624206           0.40546511           53          -5.083206 -1.0965412
## X16  -1.9679750           0.33647224           58          -5.051457 -1.3761017
## X17  -2.0458231           0.09531018           51          -5.278515 -1.4130880
## X18  -1.6752524          -0.02020271           67          -5.626821 -1.5342758
## X19  -1.6752524           0.18232156           42          -6.980326 -1.4130880
## X20  -2.0624206           0.18232156           46          -5.221356 -1.3405665
## X21  -1.7280531           0.26236426           51          -6.571283 -1.1808680
## X22  -2.2007445           0.74193734           52          -5.051457 -0.9240345
## X23  -1.8906716          -0.12783337           46          -5.546779 -1.4130880
## X24  -2.0458231           0.33647224           42          -6.377127 -1.0441270
## X25  -1.8774117          -0.13926207           51          -6.812445 -1.4516659
## X26  -2.0458231           0.09531018           59          -8.468403 -1.1808680
## X28  -2.0458231           0.33647224           32          -6.645391 -1.3405665
## X29  -1.6752524          -0.08338161           61          -6.119298 -1.6256074
## X30  -1.8452133          -0.22314355           41          -6.165818 -1.2415199
## X31  -2.2319708           0.26236426           60          -4.074542 -0.9016377
## X34  -2.1516047          -0.01005034           51          -5.449140 -1.3405665
## X35  -1.4130880          -0.37106368           71          -5.599422 -1.3405665
## X36  -2.1516047           0.18232156           51          -3.963316 -1.2107086
## X37  -2.0458231           0.33647224           59          -7.849364 -1.2733760
## X38  -2.7611525           0.00000000           65          -4.815891 -1.2415199
## X39  -2.0624206           0.26236426           37          -7.402052 -1.2733760
## X40  -1.7280531           0.47000363           46          -6.032287 -1.3405665
## X41  -1.9679750           0.09531018           43          -5.744604 -1.4130880
## X42  -1.9679750           0.18232156           51          -6.437752 -1.2733760
## X43  -2.2319708           0.09531018           67          -5.298317 -1.3063602
## X44  -2.2873761           0.58778666           46          -4.879607 -1.2107086
## X45  -2.0458231           0.53062825           51          -7.600902 -0.9943519
## X46  -2.2873761           0.40546511           46          -5.381699 -1.1808680
## X47  -2.3867382          -0.30110509           51          -6.571283 -1.4130880
## X48  -2.2319708           0.58778666           60          -4.605170 -0.9016377
## X50  -0.8166252           0.26236426           51          -4.803621 -1.2415199
## X51  -1.8452133           0.33647224           42          -4.853632 -0.9240345
## X53  -1.7280531           0.33647224           46          -6.571283 -1.3405665
## X55  -2.1611633           0.53062825           53          -7.684284 -1.2415199
## X56  -1.9679750           0.09531018           51          -5.521461 -1.3761017
## X57  -2.2007445           0.58778666           42          -5.952244 -1.3761017
## X59  -1.6752524           0.33647224           43          -6.812445 -1.3063602
## X60  -1.9981504           0.00000000           60          -5.203007 -1.3761017
## X61  -1.5787229          -0.08338161           26          -7.182192 -1.0441270
## X62  -1.9041616          -0.26136476           51          -6.032287 -1.2107086
## X63  -2.2535986           0.26236426           51          -5.952244 -1.2733760
## X64  -1.8452133          -0.21072103           51          -3.816713 -1.3063602
## X65  -1.8452133           0.09531018           60          -7.035589 -1.1519318
## X67  -1.9679750           0.09531018           51          -7.957577 -1.3063602
## X68  -1.8452133           0.18232156           61          -6.377127 -1.3405665
## X69  -1.3761017          -0.47803580           67          -5.654992 -1.5342758
## X70  -2.0458231           0.09531018           42          -6.319969 -1.3063602
## X71  -1.7280531           0.09531018           49          -3.575551 -1.2733760
## X72  -2.6486592           0.99325177           28          -2.937463 -0.9016377
## X73  -2.0624206           0.40546511           46          -5.099467 -1.1238408
## X74  -1.5787229          -0.46203546           51          -5.167289 -1.3761017
## X75  -2.1611633           0.18232156           46          -6.265901 -1.2733760
## X76  -2.0540751           0.26236426           51          -7.169120 -1.1808680
## X77  -1.5787229           0.26236426           68          -4.135167 -1.1519318
## X78  -2.0458231           0.53062825           51          -6.119298 -0.9943519
## X80  -1.8452133           0.00000000           41          -3.194183 -1.2107086
## X81  -2.1516047           0.26236426           55          -5.449140 -1.2415199
## X82  -2.0458231           0.18232156           32          -5.878136 -1.3405665
## X83  -1.8452133           0.09531018           52          -6.377127 -1.3761017
## X84  -1.8452133          -0.18632958           51          -5.318520 -1.2415199
## X85  -2.3867382           0.47000363           43          -6.437752 -1.0699846
## X86  -1.4919984           0.58778666           51          -4.422849 -0.9240345
## X88  -2.2319708           0.33647224           74          -5.654992 -1.2107086
## X90  -1.9829118          -0.31471074           72          -4.509860 -1.8452133
## X93  -1.9829118           0.47000363           52          -5.184989 -1.5342758
## X94  -2.1516047           0.83290912           43          -5.776353 -0.7007809
## X95  -1.6752524          -0.09431068           51          -6.437752 -0.9943519
## X96  -1.8774117           0.26236426           66          -5.115996 -1.2415199
## X97  -1.6256074           0.18232156           42          -8.468403 -1.1808680
## X98  -2.2319708          -0.30110509           71          -4.744432 -1.3761017
## X99  -2.2873761           0.33647224           37          -4.199705 -0.9943519
## X100 -2.1516047           0.33647224           51          -5.744604 -1.1808680
## X103 -2.6486592           0.64185389           42          -6.074846 -0.6826401
## X104 -2.5370840           0.40546511           47          -5.809143 -1.2733760
## X105 -2.2007445           0.33647224           46          -6.948577 -1.0965412
## X107 -2.2007445           0.26236426           51          -6.502290 -0.9240345
## X108 -1.9981504          -0.04082199           46          -6.214608 -0.9240345
## X109 -1.7280531           0.09531018           42          -6.502290 -1.1238408
## X110 -1.8452133          -0.26136476           74          -7.799353 -1.3405665
## X111 -1.9829118           0.09531018           61          -6.502290 -1.2733760
## X112 -2.6694708           0.26236426           67          -5.115996 -1.0189283
## X113 -1.7280531           0.47000363           32          -5.472671 -1.3761017
## X114 -1.4919984          -0.54472718           59          -5.914504 -1.5787229
## X115 -2.3867382           0.18232156           58          -5.991465 -1.3405665
## X117 -1.6256074           0.33647224           60          -3.963316 -1.1808680
## X118 -2.0458231           0.74193734           51          -5.744604 -1.0699846
## X121 -2.3867382           0.47000363           58          -5.278515 -0.9240345
## X123 -1.4516659          -0.49429632           60          -4.779524 -1.3405665
## X124 -1.8452133           0.18232156           61          -5.035953 -1.2415199
## X126 -1.5787229           0.09531018           58          -5.203007 -1.4516659
## X128 -1.9679750           0.33647224           58          -4.710531 -1.1519318
## X129 -1.9679750          -0.04082199           51          -7.849364 -1.6752524
## X130 -1.7280531           0.33647224           59          -4.947660 -1.4516659
## X131 -2.2873761           0.09531018           53          -5.744604 -1.2733760
## X132 -1.6752524           0.00000000           64          -7.581100 -1.3063602
## X133 -1.7280531           0.09531018           20          -8.078938 -1.2107086
## X134 -1.8774117           0.33647224           51          -4.892852 -1.0965412
## X135 -2.2319708           0.09531018           60          -4.074542 -1.0441270
## X136 -2.5370840           0.18232156           61          -6.074846 -1.3063602
## X137 -1.6256074          -0.34249031           46          -3.729701 -1.4516659
## X139 -1.8774117          -0.12783337           51          -7.523941 -1.5787229
## X140 -2.0458231           0.09531018           42          -6.319969 -1.2415199
## X141 -1.6752524           0.09531018           51          -5.683980 -1.2415199
## X143 -1.6752524           0.09531018           41          -6.265901 -1.3761017
## X144 -1.8774117           0.09531018           59          -6.377127 -1.3063602
## X145 -2.2319708          -0.04082199           67          -7.581100 -1.3761017
## X146 -2.2007445           0.33647224           42          -7.070274 -1.0699846
## X147 -2.2646732           0.58778666           42          -4.779524 -1.0965412
## X148 -2.2007445           0.18232156           10          -3.123566 -1.3063602
## X149 -1.8906716          -0.01005034           37          -4.342806 -1.4130880
## X152 -1.8774117           0.74193734           32          -5.878136 -1.0965412
## X153 -2.2646732           0.40546511           32          -4.017384 -1.3761017
## X154 -2.6486592           0.09531018           37          -5.278515 -1.2107086
## X155 -1.5787229          -0.26136476           55          -5.020686 -1.2733760
## X156 -1.6256074           0.18232156           46          -4.733004 -1.2415199
## X157 -1.8452133           0.33647224           55          -6.319969 -0.9240345
## X158 -2.1611633           0.09531018           53          -5.132803 -0.9943519
## X159 -1.8452133          -0.02020271           58          -5.924465 -1.4516659
## X160 -1.5342758           0.47000363           37          -4.892852 -0.9469346
## X161 -1.9679750           0.40546511           58          -3.611918 -1.1808680
## X162 -1.5787229           0.47000363           52          -6.437752 -1.1808680
## X163 -2.2007445          -0.05129329           61          -7.250246 -1.4516659
## X165 -1.4919984           0.18232156           32          -7.293418 -1.3761017
## X166 -1.9679750          -0.16251893           58          -8.334872 -1.2415199
## X167 -1.6752524           0.58778666           68          -6.812445 -0.9016377
## X168 -2.0624206           0.09531018           46          -5.914504 -1.3761017
## X169 -2.0458231          -0.15082289           42          -6.265901 -1.6752524
## X170 -1.7280531          -0.08338161           51          -5.083206 -1.4130880
## X171 -2.1516047           0.47000363           43          -4.961845 -1.0189283
## X172 -1.6752524          -0.06187540           74          -7.323271 -1.3063602
## X174 -1.8452133           0.09531018           33          -6.265901 -1.3063602
## X175 -1.8774117           0.40546511           42          -5.149897 -1.4130880
## X176 -2.1516047           0.18232156           51          -5.472671 -1.3063602
## X177 -1.9829118           0.26236426           42          -6.319969 -1.3063602
## X178 -1.5787229          -0.31471074           65          -5.221356 -1.5342758
## X179 -1.6752524           0.47000363           42          -4.342806 -1.3405665
## X180 -2.0458231           0.91629073           42          -6.214608 -1.2415199
## X181 -1.6752524          -0.09431068           75          -7.047017 -1.5342758
## X182 -1.9981504          -0.04082199           60          -5.572754 -1.0189283
## X183 -1.7280531          -0.24846136           41          -7.094085 -1.2107086
## X184 -1.8774117           0.33647224           47          -6.265901 -1.2733760
## X185 -2.3867382           0.26236426           65          -6.938214 -1.2733760
## X186 -2.2007445          -0.06187540           42          -8.016418 -1.4919984
## X189 -1.9606157           0.26236426           51          -4.268698 -1.2415199
## X190 -2.5370840           0.47000363           47          -4.342806 -1.2733760
## X191 -1.6752524           0.18232156           61          -6.214608 -1.2415199
## X192 -1.8452133           0.64185389           61          -6.645391 -1.1519318
## X193 -2.3867382           0.58778666           43          -7.094085 -1.2107086
## X194 -1.8452133          -0.04082199           52          -6.907755 -1.3761017
## X195 -1.6256074           0.64185389           53          -5.599422 -1.1238408
## X197 -1.8774117           0.33647224           42          -5.843045 -1.1808680
## X198 -1.6752524          -0.10536052           75          -6.437752 -1.2107086
## X200 -1.8452133           0.33647224           51          -6.165818 -0.9943519
## X201 -2.2007445           0.33647224           61          -5.403678 -1.4516659
## X202 -2.2319708          -0.23572233           67          -5.952244 -1.3063602
## X205 -1.6256074           0.18232156           46          -6.502290 -1.2733760
## X208 -2.5370840           0.47000363           42          -4.744432 -0.9943519
## X210 -1.1808680           0.33647224           42          -8.111728 -1.1238408
## X212 -1.9679750          -0.12783337           51          -7.047017 -1.5787229
## X213 -1.7844998           0.18232156           59          -5.654992 -1.4130880
## X214 -2.2007445           0.26236426           53          -3.381395 -1.0189283
## X215 -1.6256074          -0.22314355           67          -5.572754 -0.9469346
## X216 -1.6752524          -0.08338161           42          -5.099467 -1.5342758
## X218 -1.8973873          -0.06187540           42          -4.744432 -1.4516659
## X219 -1.9679750           0.09531018           58          -5.426151 -1.5342758
## X220 -2.2535986           0.18232156           51          -4.791500 -1.3063602
## X223 -1.9041616           0.18232156           60          -6.907755 -1.0965412
## X224 -2.2319708           0.18232156           41          -6.265901 -1.3063602
## X225 -1.5787229           0.40546511           67          -6.571283 -0.6472472
## X226 -2.0794020           0.64185389           29          -3.688879 -1.2107086
## X227 -0.9240345           0.09531018           60          -3.611918 -1.0965412
## X228 -1.6752524          -0.17435339           67          -4.199705 -1.5787229
## X229 -2.0458231          -0.27443685           51          -8.180721 -1.5787229
## X230 -2.2646732           0.18232156           51          -4.268698 -1.2107086
## X231 -1.7844998           0.26236426           51          -5.665263 -1.5787229
## X232 -1.9829118           0.09531018           52          -6.812445 -1.2733760
## X233 -1.8452133          -0.19845094           52          -7.293418 -1.5787229
## X234 -1.8774117          -0.12783337           51          -8.377431 -1.4516659
## X236 -1.3063602          -0.17435339           32          -7.182192 -1.5342758
## X237 -1.9679750          -0.01005034           51          -5.744604 -1.2107086
## X239 -1.9981504          -0.30110509           51          -5.240048 -1.4919984
## X240 -1.5787229          -0.32850407           67          -7.641724 -1.4130880
## X241 -2.0458231           0.18232156           32          -5.051457 -1.2415199
## X242 -1.1519318          -0.06187540           46          -3.863233 -1.6256074
## X243 -2.3867382          -0.21072103           43          -5.683980 -1.3761017
## X244 -1.8452133           0.40546511           58          -6.502290 -1.1519318
## X245 -1.3063602          -0.49429632           82          -5.744604 -1.8452133
## X246 -1.9981504           0.33647224           41          -5.521461 -1.0699846
## X247 -1.4130880          -0.18632958           82          -7.130899 -1.4130880
## X249 -1.8774117           0.47000363           66          -7.013116 -0.9016377
## X250 -2.2873761           0.33647224           53          -5.496768 -0.9469346
## X251 -2.1516047           0.09531018           58          -7.621105 -1.0965412
## X253 -1.9679750           0.40546511           51          -3.057608 -1.3405665
## X254 -1.1238408           0.99325177           67          -3.912023 -0.5474623
## X255 -2.7611525           0.40546511           43          -4.422849 -1.0965412
## X256 -1.8906716          -0.23572233           58          -8.517193 -1.4919984
## X257 -1.8452133          -0.26136476           51          -6.319969 -1.5787229
## X258 -1.5342758           0.53062825           46          -4.840893 -0.8582591
## X260 -1.8973873           0.18232156           68          -5.381699 -1.3761017
## X261 -1.6752524          -0.16251893           58          -5.083206 -1.4919984
## X262 -1.3063602          -0.28768207           65          -7.641724 -1.4919984
## X263 -1.6752524           0.40546511           42          -4.509860 -1.1808680
## X264 -1.9679750           0.18232156           43          -5.368806 -1.0699846
## X265 -1.6752524           0.26236426           42          -6.812445 -1.0965412
## X267 -1.8774117           0.47000363           51          -7.323271 -1.0189283
## X268 -1.8452133           0.18232156           56          -6.032287 -1.1238408
## X269 -1.8452133          -0.15082289           41          -6.571283 -1.0699846
## X270 -1.5787229           0.69314718           52          -7.581100 -1.0441270
## X271 -2.2007445           0.47000363           52          -6.165818 -1.2415199
## X272 -1.8452133          -0.05129329           61          -5.115996 -1.1519318
## X273 -1.6752524           0.47000363           52          -6.165818 -1.3761017
## X274 -1.6752524           0.18232156           47          -5.472671 -1.3405665
## X275 -1.9981504           0.26236426           41          -3.863233 -1.1238408
## X277 -1.6256074           0.18232156           59          -4.422849 -1.6256074
## X278 -2.2319708           0.18232156           67          -4.755993 -1.1238408
## X279 -1.7844998           0.09531018           51          -6.502290 -1.5787229
## X281 -1.4919984           0.18232156           51          -7.435388 -1.3761017
## X282 -2.2873761          -0.16251893           60          -4.074542 -1.5342758
## X283 -1.6752524           0.69314718           52          -7.452482 -1.0699846
## X287 -1.8906716           0.09531018           60          -6.645391 -1.3063602
## X289 -1.3063602          -0.32850407           41          -7.849364 -1.3063602
## X290 -2.0624206           0.26236426           46          -5.426151 -1.4919984
## X291 -1.8774117           0.09531018           42          -5.203007 -1.1238408
## X292 -1.5787229           0.58778666           71          -5.521461 -0.8582591
## X294 -2.2319708          -0.40047757           51          -5.449140 -1.4130880
## X297 -2.1516047           0.18232156           62          -5.083206 -1.2733760
## X298 -1.9679750           0.09531018           37          -4.990833 -1.4919984
## X299 -1.6256074           0.40546511           51          -7.505592 -1.2733760
## X301 -1.6752524          -0.17435339           33          -5.776353 -1.2733760
## X302 -1.5787229          -0.54472718           41          -5.713833 -1.6256074
## X303 -2.0794020           0.09531018           52          -7.323271 -1.4919984
## X304 -1.6752524           0.40546511           38          -7.706263 -0.9943519
## X305 -1.6752524           0.47000363           61          -6.571283 -1.0965412
## X306 -1.6752524           0.47000363           51          -6.812445 -0.7380092
## X307 -1.4516659           0.33647224           60          -5.099467 -1.1808680
## X308 -2.2319708           0.26236426           41          -5.381699 -1.0965412
## X311 -1.8452133           0.18232156           58          -5.203007 -1.2415199
## X312 -2.7611525           0.53062825           51          -6.319969 -1.2415199
## X313 -2.2007445           0.18232156           42          -5.878136 -1.2415199
## X314 -1.6752524           0.09531018           42          -6.265901 -1.4130880
## X315 -1.8452133           0.09531018           60          -3.244194 -1.1519318
## X316 -2.2873761           0.09531018           37          -6.377127 -1.3761017
## X317 -2.0624206           0.26236426           37          -5.952244 -1.0189283
## X320 -1.7280531           0.09531018           46          -7.047017 -1.2415199
## X321 -2.0624206          -0.44628710           49          -7.293418 -1.6256074
## X322 -1.4516659           0.47000363           43          -5.099467 -1.3405665
## X323 -1.6752524           0.64185389           42          -5.843045 -1.2733760
## X324 -1.8452133           0.18232156           60          -7.169120 -1.1519318
## X325 -2.2007445           0.87546874           42          -4.906275 -1.1519318
## X326 -1.8452133           0.33647224           61          -6.502290 -1.2415199
## X327 -1.8774117           0.18232156           51          -5.020686 -1.2415199
## X329 -1.8452133           0.09531018           33          -5.776353 -1.2415199
## X330 -1.4130880          -0.05129329           42          -5.744604 -1.5342758
## X331 -2.2007445          -0.30110509           52          -7.728736 -1.4919984
## X332 -1.8452133          -0.12783337           61          -4.199705 -1.5342758
## X333 -1.6752524           0.53062825           61          -7.824046 -0.9469346
##             CD5L Calbindin Calcitonin      CgA Clusterin_Apo_J Complement_3
## X1    0.09531018  33.21363  1.3862944 397.6536        3.555348   -10.363053
## X2   -0.67334455  25.27636  3.6109179 465.6759        3.044522   -16.108237
## X3    0.09531018  22.16609  2.1162555 347.8639        2.772589   -16.108237
## X5    0.36331197  21.83275  1.3083328 442.8046        3.044522   -12.813142
## X6    0.40546511  13.23155  1.6292405 137.9473        2.564949   -11.983227
## X7   -0.24846136  27.12044  1.0986123 336.9532        3.178054   -16.545310
## X8    0.53062825  10.96148  1.7404662 166.5501        2.772589   -14.406260
## X9   -0.75502258  18.29778  1.2809338 254.4822        2.564949   -19.247713
## X11  -0.01005034  29.36877  2.6390573 361.5826        3.091042   -11.838035
## X12   0.83290912  20.36068  1.2809338 251.8879        2.833213   -15.709974
## X14   0.26236426  24.38181  1.8870696 270.1389        2.890372   -12.134638
## X16  -0.26136476  26.42534  0.6931472 372.6204        3.044522   -12.721137
## X17   0.33647224  22.97999  3.1354942 200.9777        2.944439   -12.813142
## X18  -0.16251893  18.39608  0.4700036 195.9948        2.302585   -17.860668
## X19   0.00000000  19.26029  1.2237754 183.6299        2.397895   -16.780588
## X20  -0.05129329  19.44761  1.6863990 367.0946        2.708050   -15.523564
## X21   0.18232156  24.07681  3.2580965 251.8879        2.484907   -13.528896
## X22  -0.86750057  22.57641  1.6486586 437.1170        2.944439   -16.108237
## X23  -0.61618614  26.14249  1.7749524 414.4903        2.564949   -18.506668
## X24  -0.75502258  24.22975  1.0296194 367.0946        3.401197   -17.860668
## X25  -0.52763274  19.44761  0.1823216 320.6970        2.708050   -20.111728
## X26  -0.63487827  23.84570  2.3978953 408.8652        2.995732   -17.860668
## X28   0.18232156  22.00000  0.6931472 288.5972        3.332205   -16.321511
## X29  -0.15082289  20.62742  0.9162907 183.6299        2.564949   -17.860668
## X30  -0.38566248  14.97056  0.7884574 304.5768        2.564949   -18.863805
## X31   0.33647224  21.83275  1.8718022 262.2911        2.995732   -16.108237
## X34  -0.16251893  24.98148  1.1314021 198.4836        2.772589   -16.108237
## X35   0.18232156  17.07878  0.6931472 259.6838        2.484907   -16.545310
## X36   0.87546874  17.49359  2.2823824 367.0946        2.833213   -13.881545
## X37  -0.57981850  23.05993  2.2823824 400.4516        3.044522   -17.860668
## X38  -0.75502258  20.18107  0.9555114 397.6536        2.708050   -16.545310
## X39  -0.32850407  18.39608  2.0412203 364.3368        3.295837   -16.545310
## X40   0.00000000  18.78461  3.2958369 361.5826        2.833213   -14.548755
## X41   0.47000363  18.68816  1.1314021 307.2539        2.890372    -9.562842
## X42  -0.77652879  22.08319  2.0668628 331.5196        2.890372   -14.696346
## X43   0.18232156  18.88061  0.9555114 231.2963        2.397895   -18.506668
## X44   0.53062825  21.49468  2.8903718 288.5972        2.995732   -12.134638
## X45   0.00000000  28.59412  3.1354942 394.8588        3.218876   -12.212827
## X46  -0.54472718  24.60827  1.9315214 420.1282        2.772589   -14.406260
## X47   0.26236426  20.09072  2.2925348 312.6196        2.564949   -13.528896
## X48  -0.17435339  30.61901  2.6390573 477.1827        3.496508   -11.909882
## X50   0.18232156  27.59730  1.6486586 336.9532        3.496508   -12.631361
## X51  -0.34249031  25.56810  0.6418539 394.8588        2.833213   -14.696346
## X53   0.18232156  23.37716  2.2823824 301.9036        2.890372   -12.374500
## X55  -0.26136476  24.07681  0.7419373 378.1598        2.833213   -15.709974
## X56   0.47000363  29.24100  1.5686159 267.5187        2.772589   -15.709974
## X57   0.18232156  26.56571 -0.1508229 315.3083        3.332205   -11.191436
## X59   0.33647224  21.40940  1.4816045 262.2911        2.890372   -12.721137
## X60   0.26236426  20.71563  0.7884574 198.4836        2.772589   -13.004247
## X61  -0.35667494  22.81935  1.6863990 195.9948        2.772589   -18.506668
## X62  -0.38566248  22.00000  0.9555114 285.9479        2.708050   -20.111728
## X63  -0.65392647  28.13304  2.7725887 356.0845        2.639057   -12.374500
## X64   0.78845736  20.36068  2.8903718 218.5779        2.890372   -13.004247
## X65  -0.41551544  20.89105  1.8870696 251.8879        2.708050   -17.860668
## X67  -0.23572233  25.92848  2.6390573 448.5044        2.833213   -14.406260
## X68  -0.59783700  20.44994  3.3672958 328.8084        2.890372   -12.631361
## X69  -0.04082199  17.39072  1.3083328 259.6838        2.302585   -14.696346
## X70  -0.96758403  24.30589  2.2407097 397.6536        3.044522   -17.028429
## X71   0.18232156  24.22975  3.5835189 296.5691        2.639057   -16.545310
## X72   0.91629073  20.44994  3.5553481 523.6660        3.401197   -13.746698
## X73   1.09861229  25.71281  1.8870696 389.2792        2.944439   -12.212827
## X74  -0.19845094  19.44761  2.3978953 149.7563        2.397895   -14.006447
## X75  -0.13926207  19.26029  1.4586150 241.5557        2.944439   -14.135373
## X76   0.00000000  27.73214  2.7080502 425.7786        3.295837   -15.008176
## X77   0.53062825  27.39388  0.9162907 315.3083        3.044522   -15.344812
## X78   0.64185389  24.38181  0.9162907 400.4516        3.332205   -13.205557
## X80  -0.82098055  21.15167  3.1780538 400.4516        2.772589   -10.909311
## X81  -0.44628710  28.13304  1.2809338 301.9036        2.944439   -17.860668
## X82   0.18232156  29.04835  3.2188758 334.2346        3.135494   -14.696346
## X83   0.33647224  19.90890  1.2237754 254.4822        2.772589   -15.523564
## X84  -0.31471074  24.15339  2.1860513 293.9078        2.708050   -15.344812
## X85  -0.24846136  27.46184  0.4700036 397.6536        3.401197   -14.849365
## X86   0.69314718  27.46184  0.6931472 336.9532        3.295837   -14.696346
## X88   0.69314718  22.81935  1.3862944 356.0845        3.135494   -10.599937
## X90  -0.44628710  13.62050  1.2237754 173.8361        2.151762   -19.662161
## X93   0.33647224  23.21904  2.6390573 246.7128        3.091042   -15.904641
## X94   0.58778666  28.33150  0.9555114 480.0666        3.367296   -13.418078
## X95  -0.21072103  26.56571  2.0794415 238.9839        2.833213   -17.860668
## X96  -0.19845094  21.15167  1.7578579 397.6536        3.295837   -16.321511
## X97  -0.52763274  29.74902 -0.7133499 375.3884        3.091042   -18.863805
## X98  -0.40047757  22.08319  2.1162555 254.4822        2.484907   -17.860668
## X99   0.09531018  20.89105  2.8332133 480.0666        2.833213   -16.545310
## X100 -0.24846136  23.61250  3.6375862 339.6754        3.091042   -16.780588
## X103 -0.07257069  22.49490  1.5686159 442.8046        3.044522   -16.545310
## X104  0.00000000  20.36068  1.5475625 389.2792        2.890372   -16.321511
## X105 -0.49429632  27.25748  0.7419373 408.8652        3.178054   -17.566939
## X107  0.00000000  24.53300  2.4849066 417.3077        2.944439   -11.909882
## X108  0.26236426  17.39072  2.0668628 403.2529        2.995732   -15.008176
## X109 -0.84397007  20.89105  1.1314021 288.5972        2.639057   -20.602047
## X110 -0.49429632  19.16601  1.3083328 223.6509        2.302585   -23.387329
## X111 -0.22314355  20.71563  2.5649494 345.1308        3.091042   -13.310348
## X112  1.16315081  24.68333  0.9555114 345.1308        3.295837   -11.983227
## X113  0.47000363  24.83282  1.5892352 275.3919        3.218876   -11.191436
## X114 -0.11653382  17.89975  1.2527630 259.6838        2.484907   -16.108237
## X115  0.47000363  27.52965  1.9878743 283.3028        2.833213   -11.698625
## X117 -0.24846136  26.21347  2.3025851 442.8046        3.135494   -18.173167
## X118 -0.24846136  27.32576  3.8918203 468.5482        3.367296   -12.543721
## X121  0.09531018  21.57965  2.0668628 425.7786        2.944439   -13.760451
## X123 -0.30110509  20.00000  2.3025851 251.8879        2.397895   -19.662161
## X124  0.26236426  22.24871  3.3672958 356.0845        2.708050   -13.881545
## X126 -0.28768207  18.97618  0.2623643 506.1507        2.302585   -18.173167
## X128  0.18232156  28.91925  0.9555114 408.8652        2.890372   -14.268559
## X129 -0.59783700  21.49468  0.2623643 291.2505        2.708050   -19.662161
## X130 -0.59783700  32.05877  1.4816045 336.9532        2.833213   -14.548755
## X131  0.00000000  27.12044  1.1314021 372.6204        2.708050   -18.863805
## X132  0.64185389  17.07878  1.5892352 318.0008        2.890372   -15.523564
## X133  0.47000363  18.00000  1.4816045 251.8879        3.218876   -12.721137
## X134  0.64185389  25.12932  1.8718022 454.2163        3.091042   -11.075694
## X135  0.18232156  26.63564  1.7227666 468.5482        2.995732   -14.696346
## X136  0.26236426  15.43560  1.6486586 283.3028        2.890372   -15.904641
## X137 -0.34249031  18.49390  2.3978953 283.3028        2.564949   -18.863805
## X139 -0.12783337  23.37716  3.4339872 342.4013        2.564949   -15.523564
## X140 -0.05129329  21.15167  1.0986123 320.6970        3.091042   -11.838035
## X141 -0.16251893  28.91925  2.3025851 417.3077        2.995732   -14.849365
## X143  0.74193734  23.05993  0.7884574 200.9777        2.890372   -15.173178
## X144  0.33647224  20.44994  1.3083328 320.6970        2.639057   -15.344812
## X145 -0.28768207  22.16609  2.8332133 309.9348        2.708050   -19.662161
## X146  0.09531018  21.66432  1.4816045 318.0008        3.218876   -13.760451
## X147 -0.04082199  26.07134  0.6931472 425.7786        3.332205   -11.564602
## X148 -0.03045921  24.75818  1.3083328 328.8084        3.258097   -13.881545
## X149 -0.44628710  18.88061  1.8405496 275.3919        2.639057   -19.662161
## X152  0.53062825  22.33105  1.9169226 411.6762        3.583519   -10.455704
## X153  0.64185389  25.27636  1.3609766 159.3166        3.258097   -12.212827
## X154  0.00000000  23.76820  2.1747517 323.3971        2.944439   -18.173167
## X155 -0.05129329  21.23790  1.5260563 462.8066        2.639057   -14.268559
## X156 -0.26136476  18.97618  2.7725887 320.6970        3.044522   -16.321511
## X157 -0.19845094  21.49468  2.3025851 272.7633        2.772589   -16.780588
## X158 -0.94160854  22.33105  2.7725887 420.1282        2.833213   -15.173178
## X159 -0.11653382  21.66432  1.6486586 417.3077        2.484907   -18.863805
## X160  0.09531018  21.49468  1.1314021 442.8046        3.583519   -15.008176
## X161  0.69314718  24.38181  0.9555114 503.2412        2.833213   -14.006447
## X162 -0.35667494  26.21347  2.7080502 437.1170        3.044522   -15.344812
## X163 -0.56211892  22.00000  1.6094379 331.5196        2.639057   -18.506668
## X165 -0.73396918  21.66432  1.7578579 392.0674        2.833213   -16.545310
## X166 -0.63487827  22.89980  1.5686159 448.5044        2.995732   -15.344812
## X167 -0.17435339  32.29286  1.6486586 414.4903        3.332205   -16.780588
## X168 -0.19845094  22.08319  2.4849066 312.6196        3.178054   -18.173167
## X169 -0.15082289  19.16601  0.6931472 315.3083        2.639057   -17.860668
## X170  0.18232156  24.15339  3.2580965 226.1946        2.772589   -14.849365
## X171 -0.02020271  21.49468  0.6931472 431.4416        3.135494   -13.760451
## X172 -0.10536052  21.91652  0.7884574 347.8639        2.772589   -18.863805
## X174  0.69314718  19.72556  2.4849066 299.2344        2.772589   -10.317725
## X175  0.91629073  17.07878  2.0281482 350.6005        2.995732   -13.205557
## X176 -1.23787436  23.21904  2.7080502 328.8084        2.639057   -15.523564
## X177 -0.05129329  16.86796  1.4816045 361.5826        2.708050   -16.780588
## X178 -0.43078292  15.32051  0.9555114 361.5826        2.174752   -20.111728
## X179  0.58778666  21.49468  2.6390573 254.4822        2.995732   -12.721137
## X180  0.40546511  21.83275  0.2623643 309.9348        2.995732   -16.545310
## X181 -0.28768207  18.19901  1.8562980 288.5972        2.219203   -18.863805
## X182 -0.51082562  24.53300  1.9600948 403.2529        2.833213   -18.863805
## X183 -0.52763274  15.77639  0.7884574 135.6050        2.639057   -17.860668
## X184 -0.43078292  20.89105  0.6931472 434.2777        2.944439   -15.709974
## X185 -0.17435339  26.91366  2.7725887 315.3083        2.833213   -15.904641
## X186  0.00000000  22.81935 -0.7133499 323.3971        2.772589   -18.506668
## X189 -0.28768207  19.44761  2.6390573 383.7128        2.833213   -18.173167
## X190  0.09531018  20.71563  1.8562980 353.3408        2.944439   -15.008176
## X191 -0.30110509  28.98387  0.6418539 283.3028        2.890372   -17.028429
## X192 -0.06187540  28.06659  0.6418539 347.8639        3.295837   -16.108237
## X193  0.40546511  33.77709  2.7725887 358.8318        3.332205   -16.545310
## X194 -0.57981850  18.88061  1.9315214 218.5779        2.833213   -15.523564
## X195 -0.35667494  21.74868  2.7725887 485.8432        3.295837   -16.545310
## X197 -0.17435339  23.69047  2.3025851 465.6759        3.178054   -11.075694
## X198  0.00000000  20.36068  1.7404662 364.3368        2.708050   -17.290073
## X200 -0.11653382  31.34666  2.7725887 293.9078        3.295837   -15.523564
## X201  0.00000000  19.72556  0.6418539 383.7128        2.772589   -14.696346
## X202 -0.52763274  20.00000  1.2237754 228.7431        2.639057   -19.662161
## X205  0.09531018  19.72556  2.3978953 389.2792        3.258097   -18.173167
## X208 -0.40047757  24.60827  2.7725887 291.2505        3.044522   -15.344812
## X210  0.26236426  26.07134  2.8903718 326.1009        3.135494   -11.698625
## X212 -0.57981850  24.53300  0.2623643 328.8084        2.890372   -18.173167
## X213  0.09531018  22.65766  2.0668628 400.4516        3.044522   -15.173178
## X214  0.26236426  17.59592  1.1314021 372.6204        2.708050   -17.290073
## X215 -0.57981850  23.05993  0.9555114 375.3884        2.772589   -16.545310
## X216  0.00000000  18.78461  0.9162907 291.2505        2.484907   -15.523564
## X218  0.47000363  17.28730  0.6418539 251.8879        2.995732   -13.642963
## X219 -0.04082199  22.49490  1.5686159 315.3083        2.564949   -18.173167
## X220 -0.02020271  23.53429  2.7080502 434.2777        2.772589   -19.247713
## X223  0.18232156  21.74868  3.4657359 309.9348        2.944439   -15.904641
## X224  0.09531018  21.57965  0.7884574 445.6530        2.772589   -18.173167
## X225 -0.37106368  29.49603  3.1354942 532.4605        3.044522   -18.173167
## X226 -1.10866262  21.49468  0.9162907 411.6762        2.944439   -16.321511
## X227  0.35333823  17.59592  0.4700036 353.3408        3.044522   -14.006447
## X228 -0.46203546  20.89105  1.4350845 307.2539        2.484907   -18.863805
## X229  0.26236426  13.36229  2.2082744 228.7431        2.484907   -17.566939
## X230 -0.03045921  23.61250  0.9162907 259.6838        2.708050   -13.103567
## X231 -0.07257069  19.54066  1.4816045 275.3919        2.944439   -14.406260
## X232 -0.16251893  23.76820  1.4109870 275.3919        2.944439   -12.813142
## X233 -0.13926207  17.39072  1.3083328 216.0486        2.564949   -15.904641
## X234  0.26236426  19.72556  1.2527630 361.5826        2.890372   -13.310348
## X236 -1.04982212  22.65766  1.7578579 383.7128        2.772589   -18.863805
## X237  0.33647224  21.40940  3.0445224 378.1598        2.995732   -16.108237
## X239 -0.17435339  11.26650  2.2721259 164.1330        1.960095   -20.602047
## X240 -0.11653382  19.81742  1.0986123 304.5768        2.564949   -14.548755
## X241 -0.44628710  23.37716  1.2527630 372.6204        2.890372   -16.108237
## X242  0.99325177  11.56466  1.7227666 149.7563        3.044522   -14.006447
## X243 -0.08338161  23.05993  1.9600948 270.1389        2.564949   -14.696346
## X244  0.09531018  28.98387  0.6931472 468.5482        2.772589   -17.028429
## X245 -1.17118298  15.32051  0.9162907 171.4017        1.871802   -20.602047
## X246  0.58778666  21.91652 -0.2357223 296.5691        2.833213   -15.173178
## X247 -0.51082562  22.33105  1.5475625 328.8084        2.484907   -19.247713
## X249 -0.37106368  25.27636  1.6677068 532.4605        3.178054   -15.904641
## X250  0.18232156  27.05168  1.5686159 380.9346        2.772589   -16.321511
## X251 -0.19845094  22.97999  0.9555114 339.6754        2.708050   -17.566939
## X253  0.33647224  19.72556  1.7749524 315.3083        2.890372   -14.406260
## X254  0.26236426  28.06659  1.8718022 462.8066        3.295837   -15.904641
## X255  0.40546511  22.97999  0.9555114 451.3589        3.091042   -14.135373
## X256 -0.18632958  24.00000  0.6931472 369.8558        2.708050   -19.662161
## X257 -0.30110509  22.97999  0.9555114 285.9479        2.484907   -20.602047
## X258  0.58778666  25.78489  1.4586150 356.0845        2.772589   -16.545310
## X260  0.40546511  25.05550  1.4109870 315.3083        2.995732   -15.709974
## X261 -0.23572233  20.62742  0.2623643 293.9078        2.397895   -20.111728
## X262 -0.47803580  20.00000  2.1747517 251.8879        2.564949   -17.566939
## X263 -0.44628710  22.81935  1.8870696 386.4943        3.178054   -12.458129
## X264  0.26236426  20.80351  0.6931472 299.2344        3.178054   -13.310348
## X265 -0.06187540  24.30589  2.2300144 342.4013        2.995732   -14.849365
## X267 -0.23572233  28.98387  1.1939225 361.5826        3.496508   -14.849365
## X268  0.83290912  24.83282  1.2237754 364.3368        2.944439   -12.458129
## X269 -0.13926207  24.68333  0.4700036 315.3083        2.639057   -18.173167
## X270  0.83290912  18.49390  1.8870696 380.9346        2.708050   -14.696346
## X271  0.87546874  18.97618  2.2925348 358.8318        2.944439   -13.760451
## X272  0.09531018  24.07681  1.8870696 270.1389        2.833213   -14.006447
## X273 -0.07257069  21.40940  2.5649494 320.6970        3.135494   -14.135373
## X274 -0.47803580  24.07681  2.2617631 356.0845        2.890372   -15.173178
## X275 -0.67334455  23.92296  0.7884574 442.8046        3.044522   -14.268559
## X277  0.53062825  19.81742  0.9162907 312.6196        2.772589   -13.642963
## X278 -0.54472718  23.45584  0.8754687 361.5826        2.890372   -14.548755
## X279 -0.19845094  24.83282  2.0918641 278.0247        2.833213   -16.545310
## X281  0.00000000  19.63331  0.6931472 386.4943        2.995732   -16.780588
## X282  0.26236426  25.05550  1.3083328 254.4822        2.995732   -16.545310
## X283 -0.16251893  30.61901  1.6486586 361.5826        3.401197   -13.418078
## X287 -0.61618614  23.53429  1.9878743 392.0674        2.944439   -17.860668
## X289 -0.35667494  15.54993  0.4700036 244.1320        2.484907   -18.506668
## X290  0.00000000  19.16601  2.2823824 278.0247        2.397895   -18.863805
## X291  0.18232156  17.59592  3.4011974 414.4903        2.708050   -13.760451
## X292 -0.04082199  29.87475  1.0986123 392.0674        3.295837   -15.709974
## X294 -0.40047757  16.54724  1.0986123 200.9777        2.639057   -17.566939
## X297 -1.17118298  25.12932  2.9957323 280.6617        2.944439   -18.506668
## X298  0.09531018  16.76166  1.1314021 254.4822        2.708050   -18.506668
## X299 -0.19845094  26.84441  1.5686159 288.5972        3.044522   -14.006447
## X301 -0.35667494  20.89105  0.6931472 331.5196        2.639057   -17.860668
## X302 -0.18632958  16.33030  1.0986123 166.5501        2.230014   -17.860668
## X303  0.53062825  24.22975  2.1400662 339.6754        2.772589   -15.709974
## X304 -1.04982212  23.84570  0.6931472 482.9535        2.995732   -17.290073
## X305 -0.03045921  31.28663  2.2721259 296.5691        3.401197   -14.548755
## X306  0.33647224  19.35416  0.9555114 535.3974        2.833213   -14.406260
## X307  0.87546874  27.52965  1.3862944 480.0666        3.044522   -14.696346
## X308  0.33647224  23.84570  0.2623643 251.8879        3.091042   -11.435607
## X311 -0.09431068  17.89975  0.6931472 334.2346        2.639057   -16.780588
## X312 -0.06187540  27.05168  1.1939225 454.2163        3.044522   -15.173178
## X313 -0.28768207  21.57965  2.4849066 238.9839        2.890372   -17.028429
## X314 -0.71334989  21.66432  2.4849066 345.1308        2.833213   -18.173167
## X315  0.09531018  21.49468  2.8903718 270.1389        3.044522   -12.292758
## X316 -0.40047757  25.42262  3.0910425 339.6754        2.833213   -14.696346
## X317 -0.63487827  24.45751  2.8903718 358.8318        2.995732   -18.173167
## X320  0.40546511  18.49390  2.6390573 211.0049        2.833213   -13.881545
## X321  0.09531018  15.66352  1.9740810 137.9473        2.397895   -16.321511
## X322  0.69314718  23.92296  1.7749524 323.3971        3.332205   -14.548755
## X323  0.09531018  20.09072  1.5475625 336.9532        2.995732   -13.103567
## X324 -0.37106368  28.91925  1.3083328 293.9078        2.890372   -15.709974
## X325 -0.23572233  22.81935  1.6486586 291.2505        2.995732   -13.642963
## X326 -0.46203546  21.74868  1.8245493 315.3083        2.772589   -17.860668
## X327 -0.37106368  23.45584 -0.7133499 345.1308        3.135494   -11.133063
## X329 -0.49429632  26.21347  2.2192035 408.8652        3.091042   -17.028429
## X330  0.26236426  11.41641  0.2623643 226.1946        2.639057   -12.543721
## X331  0.09531018  12.56022  2.6390573 296.5691        2.564949   -16.780588
## X332  0.26236426  14.49242  1.8562980 152.1371        2.833213   -12.458129
## X333  0.18232156  24.68333  1.7404662 431.4416        3.465736   -14.696346
##      Complement_Factor_H Connective_Tissue_Growth_Factor Cortisol
## X1             3.5737252                       0.5306283     10.0
## X2             3.6000471                       0.5877867     12.0
## X3             4.4745686                       0.6418539     10.0
## X5             7.2451496                       0.9162907     11.0
## X6             3.5737252                       0.9932518     13.0
## X7             2.4079204                       0.8754687      4.9
## X8             1.0483341                       0.7884574     13.0
## X9             2.4079204                       0.9555114     12.0
## X11            4.0237466                       0.8754687      6.8
## X12            4.6844119                       0.9162907     12.0
## X14            3.2434918                       0.9162907     15.0
## X16            4.2548002                       0.8329091     12.0
## X17            1.8959582                       0.8754687     12.0
## X18            3.7545215                       0.9932518      0.1
## X19            4.0237466                       1.0296194     10.0
## X20            3.0971187                       0.4054651     18.0
## X21            2.7857346                       0.7884574     26.0
## X22            0.9269604                       0.3364722     14.0
## X23            2.4440754                       0.6418539     16.0
## X24            2.3343863                       0.5306283      7.8
## X25            2.1427912                       0.7419373      8.6
## X26            3.4666845                       0.6418539     14.0
## X28            2.2969819                       0.5306283      8.9
## X29            3.3286939                       0.8329091     15.0
## X30            2.1820549                       0.9555114      1.8
## X31            3.1563503                       1.0296194     19.0
## X34            4.2548002                       1.1631508     14.0
## X35            4.4745686                       1.1314021     14.0
## X36            2.0627326                       0.9162907      9.8
## X37            2.8501989                       0.5306283     14.0
## X38            2.5502306                       1.1314021      9.5
## X39            3.6000471                       0.5877867     15.0
## X40            3.6521859                       0.9555114     12.0
## X41            5.0785828                       1.1314021     13.0
## X42            2.4440754                       0.6418539     11.0
## X43            3.7797161                       0.9162907     10.0
## X44            2.9135187                       0.9555114      9.5
## X45            4.4745686                       0.7419373     15.0
## X46            3.7291737                       0.7419373     15.0
## X47            1.9805094                       1.2527630     15.0
## X48            2.7530556                       0.6418539     15.0
## X50            4.2548002                       0.8329091      9.8
## X51            3.0971187                       0.5306283     10.0
## X53            4.4745686                       0.9932518     11.0
## X55            3.1856203                       0.7884574     15.0
## X56            4.2548002                       0.9162907     12.0
## X57            3.6780085                       0.6931472     11.0
## X59            2.8819985                       0.9162907     11.0
## X60            3.7545215                       0.6931472      7.0
## X61            3.4937139                       0.7884574     17.0
## X62            3.3005016                       0.8329091      7.1
## X63            1.1067498                       1.0296194     13.0
## X64            5.4441788                       1.1314021     10.0
## X65            3.2721023                       0.6931472     13.0
## X67            2.0219013                       0.7884574     18.0
## X68            4.4745686                       0.7884574     15.0
## X69            1.7191085                       1.1314021      7.4
## X70            2.2969819                       0.6931472     14.0
## X71            4.8854423                       0.8329091     15.0
## X72            5.4441788                       0.3364722     15.0
## X73            4.2548002                       0.8329091     11.0
## X74            3.3286939                       1.0296194     13.0
## X75            4.0237466                       0.9555114     16.0
## X76            1.4308338                       0.7884574     12.0
## X77            3.5472311                       0.5306283     17.0
## X78            4.8854423                       0.4054651     11.0
## X80            4.4745686                       0.9162907     11.0
## X81            2.7200688                       0.8329091     12.0
## X82            3.5472311                       0.7419373     14.0
## X83            4.2548002                       0.9932518     12.0
## X84            2.0219013                       1.2527630     14.0
## X85            4.4745686                       0.7884574     12.0
## X86            7.1138913                       0.6931472     12.0
## X88            3.4666845                       0.7419373     12.0
## X90           -0.8386505                       1.1314021      9.9
## X93            0.9884391                       0.6418539     12.0
## X94            2.2969819                       0.5306283     18.0
## X95            3.4937139                       0.9555114      5.9
## X96            3.7545215                       0.6418539     11.0
## X97            3.7797161                       0.7419373      8.2
## X98            1.8959582                       0.9162907      8.3
## X99            2.7530556                       0.4054651     15.0
## X100           0.7987698                       0.7419373      6.5
## X103           4.0237466                       0.5306283     16.0
## X104           2.9135187                       0.6418539     14.0
## X105           1.1067498                       0.4700036      9.0
## X107           2.9135187                       0.8754687     10.0
## X108           4.8854423                       0.3364722     13.0
## X109           3.0064666                       0.5877867     14.0
## X110           1.0483341                       0.8329091     11.0
## X111           4.2548002                       0.7884574      9.1
## X112           5.6178580                       0.4054651     13.0
## X113           2.1030230                       0.8754687     13.0
## X114           4.0237466                       0.8754687     13.0
## X115           0.7317775                       0.9162907     29.0
## X117           2.7530556                       0.9162907     13.0
## X118           2.7530556                       0.7884574     11.0
## X121           4.4745686                       0.9555114     18.0
## X123           3.6000471                       1.1939225      9.5
## X124           4.6844119                       0.6418539     13.0
## X126           3.4937139                       1.0647107     10.0
## X128           5.4441788                       0.6931472      8.9
## X129           4.4745686                       0.8754687      8.4
## X130           3.7036702                       0.8754687      4.0
## X131           3.7797161                       0.5306283     10.0
## X132           3.3286939                       0.6418539     12.0
## X133           4.0237466                       0.5306283     13.0
## X134           5.2646088                       0.7419373     12.0
## X135           4.0237466                       0.7419373      8.7
## X136           2.7530556                       0.8329091     29.0
## X137           2.2591348                       0.6931472      9.7
## X139           2.4079204                       0.8329091     13.0
## X140           2.9447661                       0.1823216     22.0
## X141           4.6844119                       0.5877867     12.0
## X143           0.7317775                       1.0296194      7.1
## X144           4.0237466                       0.5877867     12.0
## X145           1.5787922                       0.6931472      9.8
## X146           3.4937139                       0.6418539     15.0
## X147           4.2548002                       0.5306283     11.0
## X148           6.4130123                       0.7884574      9.7
## X149           3.7291737                       0.7419373      8.9
## X152           5.4441788                       0.3364722     14.0
## X153           6.4130123                       1.0986123      8.8
## X154           3.7036702                       0.5877867      8.9
## X155           4.2548002                       0.8754687      8.1
## X156           5.4441788                       0.5877867      9.0
## X157           3.4937139                       0.8329091     11.0
## X158           3.5472311                       0.6931472      7.0
## X159           2.8181133                       0.9932518      9.3
## X160           4.0237466                       0.5877867      8.5
## X161           4.6844119                       0.8754687     13.0
## X162           2.0219013                       0.6931472      9.1
## X163           1.7191085                       0.7884574     11.0
## X165           2.1030230                       0.6418539     14.0
## X166           3.3566831                       0.8329091     13.0
## X167           2.4079204                       0.4700036     10.0
## X168           3.7797161                       0.6418539      7.7
## X169           3.7797161                       0.7884574     12.0
## X170           4.4745686                       0.7884574     14.0
## X171           4.0237466                       1.0647107     13.0
## X172           2.1030230                       0.6418539      8.5
## X174           5.2646088                       1.4109870     12.0
## X175           5.6178580                       0.4054651     18.0
## X176           4.4745686                       1.2809338     17.0
## X177           3.3844731                       0.6931472     12.0
## X178           3.5205617                       1.0296194      8.3
## X179           6.8429820                       1.0986123     13.0
## X180           4.0237466                       0.6418539     16.0
## X181           3.4394702                       0.8754687     11.0
## X182           2.4079204                       0.5877867     11.0
## X183           4.6844119                       0.9932518      6.5
## X184           2.1427912                       0.4700036     14.0
## X185           4.8854423                       0.8329091     12.0
## X186           4.0237466                       0.7884574     18.0
## X189           3.5205617                       0.6418539     13.0
## X190           2.2591348                       0.7884574     14.0
## X191           4.0237466                       0.3364722      8.1
## X192           2.5502306                       0.5877867     19.0
## X193           3.0671471                       0.9932518     11.0
## X194           2.6867663                       0.8754687      9.5
## X195           4.0237466                       0.4054651     12.0
## X197           4.6844119                       0.7884574     15.0
## X198           3.6261997                       0.6931472      5.2
## X200           3.2146659                       0.4700036     12.0
## X201           2.6191813                       1.0647107     14.0
## X202           1.5787922                       0.8754687     10.0
## X205           4.2548002                       0.7419373     12.0
## X208           4.2548002                       0.5306283     20.0
## X210           4.2548002                       0.6418539     18.0
## X212           2.6531400                       0.9162907     11.0
## X213           4.6844119                       0.5306283     11.0
## X214           5.2646088                       0.5306283      5.5
## X215           3.0671471                       1.0296194     11.0
## X216           4.6844119                       0.7884574     11.0
## X218           5.2646088                       0.5877867     14.0
## X219           3.7797161                       1.0296194     14.0
## X220           3.0671471                       0.7884574     11.0
## X223           4.4745686                       0.5877867     12.0
## X224           3.5472311                       0.5877867     11.0
## X225           2.3713615                       0.6418539     13.0
## X226           2.3713615                       0.4054651     17.0
## X227           6.7029984                       0.6418539      4.8
## X228           3.0671471                       0.8329091     15.0
## X229           2.5848812                       0.6931472     11.0
## X230           4.6844119                       0.7884574      9.4
## X231           4.2548002                       0.9162907     11.0
## X232           3.7291737                       0.7419373     14.0
## X233           4.2548002                       0.8754687      9.0
## X234           4.4745686                       0.8754687      9.8
## X236           3.0671471                       0.7884574      8.1
## X237           4.6844119                       0.9555114     16.0
## X239           2.9757467                       0.9932518     13.0
## X240           4.0237466                       0.9932518     11.0
## X241           2.7857346                       1.0296194     15.0
## X242           7.6238473                       0.5877867     13.0
## X243           4.2548002                       0.9555114      9.1
## X244           4.0237466                       1.0647107     15.0
## X245           1.4810717                       0.9555114     12.0
## X246           3.6780085                       0.8754687     11.0
## X247           3.0369315                       0.6931472     12.0
## X249           4.0237466                       0.5877867     17.0
## X250           4.4745686                       0.7419373     12.0
## X251           3.4120676                       0.7419373     12.0
## X253           5.0785828                       0.9932518     13.0
## X254           1.9385358                       0.5877867     10.0
## X255           4.4745686                       0.9555114     22.0
## X256           1.8088944                       0.7884574     10.0
## X257           2.4798381                       0.9555114     10.0
## X258           4.6844119                       0.4054651     13.0
## X260           4.6844119                       0.6931472     13.0
## X261           3.4937139                       1.1631508     12.0
## X262           3.6261997                       0.6931472      9.9
## X263           3.2721023                       0.6931472     14.0
## X264           5.4441788                       0.7884574     11.0
## X265           3.4937139                       0.9162907     18.0
## X267           2.9135187                       0.6931472     14.0
## X268           4.0237466                       0.7419373     12.0
## X269           3.1856203                       0.7419373      7.8
## X270           3.5205617                       0.4700036     11.0
## X271           5.0785828                       0.8329091     15.0
## X272           2.7857346                       0.9555114     17.0
## X273           3.7797161                       0.7884574     16.0
## X274           2.1030230                       0.9162907      9.0
## X275           2.6531400                       0.7419373     11.0
## X277           4.4745686                       0.6931472      9.7
## X278           4.4745686                       0.5877867      6.9
## X279           3.6521859                       0.7419373     14.0
## X281           3.0369315                       0.5877867     13.0
## X282           3.7797161                       0.8329091     11.0
## X283           4.0237466                       0.4700036     22.0
## X287           3.4394702                       0.5877867     12.0
## X289           3.4937139                       0.8329091     11.0
## X290           2.5502306                       0.5877867     15.0
## X291           4.2548002                       0.6418539     20.0
## X292           4.8854423                       0.7419373     10.0
## X294           3.6780085                       0.9162907      0.1
## X297           4.0237466                       0.9555114      7.6
## X298           4.2548002                       0.6931472     12.0
## X299           3.6780085                       0.9162907     12.0
## X301           2.8819985                       0.8329091      3.4
## X302           2.5848812                       0.9932518      8.6
## X303           2.6867663                       0.8329091     13.0
## X304           2.2591348                       0.9932518     18.0
## X305           4.0237466                       0.6418539     18.0
## X306           5.0785828                       0.6931472     17.0
## X307           4.0237466                       0.6931472     12.0
## X308           4.4745686                       0.5306283     14.0
## X311           4.2548002                       1.2237754      9.0
## X312           3.0971187                       0.5877867     15.0
## X313           0.5911464                       0.6418539      9.1
## X314           2.6867663                       0.9555114     10.0
## X315           4.8854423                       0.8754687     14.0
## X316           3.4120676                       0.6931472     12.0
## X317           3.7291737                       0.6931472      7.4
## X320           5.9494361                       0.7419373      6.4
## X321           3.1856203                       0.8754687      4.3
## X322           5.0785828                       0.6931472     14.0
## X323           1.1637797                       0.8329091      9.9
## X324           2.0627326                       0.8754687      9.5
## X325           4.6844119                       0.6418539     20.0
## X326           3.2146659                       0.5877867     12.0
## X327           4.4745686                       0.8329091      0.1
## X329           3.3844731                       0.7419373      7.1
## X330           6.7029984                       1.0296194     11.0
## X331           3.7797161                       0.5306283     14.0
## X332           2.9447661                       0.9932518     11.0
## X333           3.7797161                       0.2623643      7.2
##      Creatine_Kinase_MB Cystatin_C       EGF_R    EN_RAGE    ENA_78 Eotaxin_3
## X1            -1.710172   9.041922 -0.13545431 -3.6888795 -1.349543        53
## X2            -1.751002   9.067624 -0.37004744 -3.8167128 -1.356595        62
## X3            -1.383559   8.954157 -0.73298708 -4.7559931 -1.390672        62
## X5            -1.625834   8.977146 -0.62060338 -2.3644605 -1.339440        64
## X6            -1.671366   7.835975 -1.11122739 -3.4420194 -1.363957        57
## X7            -1.739232   8.740337 -0.69979867 -5.0672056 -1.349543        64
## X8            -1.571048   7.736307 -0.97630091 -3.7722611 -1.381639        64
## X9            -1.671366   8.357024 -0.62060338 -4.7795236 -1.371699        64
## X11           -1.751002   8.375630 -0.51749076 -3.9633163 -1.382507        82
## X12           -1.671366   8.061487 -0.69979867 -1.3093333 -1.383822        73
## X14           -1.683772   8.692826 -0.63604036 -3.8167128 -1.360233        67
## X16           -1.671366   8.326033 -0.54612169 -3.5755508 -1.378653        69
## X17           -1.871938   8.055158 -0.65167154 -3.3524072 -1.360233        76
## X18           -1.780911   8.373323 -1.13570251 -4.4228486 -1.374923        33
## X19           -1.647864   7.615791 -1.13570251 -3.7297014 -1.367775        54
## X20           -1.518336   8.696176 -0.63604036 -2.9565116 -1.363957        77
## X21           -1.671366   7.944492 -1.01923714 -3.0576077 -1.360233        64
## X22           -1.647864   8.972083 -0.34483937 -3.1235656 -1.367775        73
## X23           -1.590122   8.373323 -0.65167154 -2.4191189 -1.372498        30
## X24           -1.751002   8.765615 -0.39571116 -5.1159958 -1.389729        82
## X25           -1.724319   8.035926 -0.87620360 -3.7297014 -1.382507        82
## X26           -1.724319   8.163371 -0.57539617 -4.0173835 -1.379499        70
## X28           -1.755051   8.737132 -0.76713789 -3.6119184 -1.346117        76
## X29           -1.647864   8.019613 -1.01923714 -4.0173835 -1.367775        34
## X30           -1.710172   8.092545 -0.74993753 -3.7722611 -1.374923        43
## X31           -1.653590   8.564077 -0.97630091 -3.5755508 -1.380778        64
## X34           -1.625834   8.407378 -0.80232932 -3.8632328 -1.383822        44
## X35           -1.625834   7.965546 -0.80232932 -3.9633163 -1.378653        44
## X36           -1.671366   8.357024 -0.69979867 -3.5065579 -1.363957        64
## X37           -1.780911   8.359369 -0.43511112 -3.1010928 -1.371699        70
## X38           -1.585271   8.294050 -0.87620360 -2.9187712 -1.378653        34
## X39           -1.683772   9.268609 -0.43511112 -4.5098600 -1.374516        62
## X40           -1.590122   8.782630 -0.93510686 -3.1235656 -1.367775        62
## X41           -1.671366   8.352319 -0.82034264 -3.2701691 -1.353033        54
## X42           -1.724319   8.538955 -0.63604036 -4.3428059 -1.404087        92
## X43           -1.710172   8.055158 -1.01923714 -4.2686979 -1.363957        43
## X44           -1.590122   8.980927 -0.66750355 -2.4769385 -1.381208        72
## X45           -1.780911   8.720950 -0.66750355 -3.6119184 -1.353033        82
## X46           -1.590122   9.341369 -0.43511112 -3.4112477 -1.376981        72
## X47           -1.868851   7.791523 -1.06412706 -3.5755508 -1.392588        64
## X48           -1.780911   8.972083 -0.42185317 -4.6459922 -1.360233        96
## X50           -1.671366   8.519191 -0.33239959 -3.5404594 -1.353033        73
## X51           -1.571048   8.954157 -0.71627709 -4.9336743 -1.390672        54
## X53           -1.518336   8.730690 -0.51749076 -1.9661129 -1.376981        52
## X55           -1.590122   8.884610 -0.40872089 -3.4737681 -1.383382        30
## X56           -1.696685   8.490849 -0.69979867 -3.4420194 -1.383822        54
## X57           -1.571048   9.441452 -0.40872089 -3.5065579 -1.386052        49
## X59           -1.671366   8.438150 -0.54612169 -2.9374634 -1.383822        64
## X60           -1.653590   8.405144 -1.11122739 -3.6119184 -1.367775        53
## X61           -1.710172   8.311398 -1.08738275 -1.9661129 -1.395547        43
## X62           -1.653590   8.188689 -0.93510686 -3.5755508 -1.374923        33
## X63           -1.724319   8.218787 -0.66750355 -3.9120230 -1.389729        64
## X64           -1.671366   8.470102 -0.78459824 -2.8473123 -1.378653        54
## X65           -1.590122   8.679312 -0.60535429 -3.4420194 -1.381208        52
## X67           -1.868851   8.821732 -0.44849801 -3.5755508 -1.383822        54
## X68           -1.647864   8.919988 -0.68354345 -4.0745419 -1.363957        64
## X69           -1.653590   8.407378 -1.13570251 -5.0672056 -1.367775        43
## X70           -1.755051   8.634087 -0.60535429 -3.9633163 -1.363957        70
## X71           -1.683772   8.646466 -0.82034264 -2.9957323 -1.363957        52
## X72           -1.751002   9.694000 -0.53172814 -3.1010928 -1.367775        83
## X73           -1.459630   9.230143 -0.43511112 -2.8302178 -1.381208        83
## X74           -1.605032   7.992945 -1.06412706 -1.4271164 -1.374923        53
## X75           -1.631218   8.398410 -0.83865049 -2.1202635 -1.372498        83
## X76           -1.755051   8.929303 -0.06111597 -3.8632328 -1.396051        54
## X77           -1.751002   8.843615 -0.54612169 -4.5098600 -1.367775        44
## X78           -1.780911   8.811354 -0.46201723 -4.1997051 -1.353033        70
## X80           -1.605032   8.171882 -0.85726607 -3.5065579 -1.349543        53
## X81           -1.780911   8.656955 -0.38282097 -2.7646206 -1.383822        44
## X82           -1.871938   8.496990 -0.80232932 -3.7297014 -1.363957        70
## X83           -1.441430   8.391630 -0.83865049 -2.9187712 -1.353033        44
## X84           -1.671366   8.301522 -0.78459824 -3.6119184 -1.378653        69
## X85           -1.671366   9.203316 -0.34483937 -3.2701691 -1.378653        44
## X86           -1.724319   9.072227 -0.63604036 -3.2835831 -1.356595        78
## X88           -1.710172   8.790269 -0.56067607 -3.1700857 -1.367775        64
## X90           -1.571048   7.625595 -1.18673610 -2.7333680 -1.386052        39
## X93           -1.830294   8.634087 -0.76713789 -4.1997051 -1.367775        64
## X94           -1.724319   9.196241 -0.37004744 -2.2072749 -1.367775        83
## X95           -1.751002   8.064636 -0.78459824 -3.2188758 -1.353033        43
## X96           -1.724319   8.625150 -0.60535429 -4.1997051 -1.371699        70
## X97           -1.780911   8.681011 -0.48946700 -3.8167128 -1.402398        70
## X98           -1.710172   8.229511 -0.91510681 -1.8971200 -1.395547        33
## X99           -1.590122   9.065315 -0.50340513 -3.6496587 -1.367775        83
## X100          -1.724319   9.061840 -0.46201723 -3.1941832 -1.378653        39
## X103          -1.590122   9.546813 -0.56067607 -4.0173835 -1.367775        93
## X104          -1.830294   9.220291 -0.65167154 -3.7722611 -1.342751        44
## X105          -1.751002   9.375855 -0.46201723 -3.5065579 -1.356595        52
## X107          -1.653590   8.877661 -0.59028711 -3.2968374 -1.367775        48
## X108          -1.653590   8.895630 -0.80232932 -4.5098600 -1.367775        64
## X109          -1.552786   8.612503 -0.69979867 -3.3813948 -1.386052        41
## X110          -1.653590   8.194229 -1.04142304 -4.1351666 -1.360233        38
## X111          -1.647864   8.767173 -0.38282097 -3.7722611 -1.367775        64
## X112          -1.653590   8.987197 -0.83865049 -3.3524072 -1.342751        59
## X113          -1.821115   8.448914 -0.35738780 -4.0745419 -1.360233        70
## X114          -1.780911   8.032685 -1.08738275 -4.1997051 -1.376154        70
## X115          -1.724319   8.237479 -0.60535429 -3.9633163 -1.373705        64
## X117          -1.653590   8.706159 -0.56067607 -0.3856625 -1.363957        64
## X118          -1.755051   8.616133 -0.60535429 -4.6777409 -1.373301        95
## X121          -1.671366   8.839277 -0.50340513 -4.1351666 -1.389729        64
## X123          -1.677510   8.151910 -1.24093251 -4.1997051 -1.405242        69
## X124          -1.647864   8.767173 -0.87620360 -4.9336743 -1.373705        44
## X126          -1.671366   8.737132 -0.85726607 -3.2441936 -1.367775        59
## X128          -1.868851   8.724207 -0.60535429 -3.5755508 -1.378653        44
## X129          -1.671366   8.122668 -0.97630091 -4.1351666 -1.389729        54
## X130          -1.696685   8.294050 -0.42185317 -3.3813948 -1.373301        57
## X131          -1.590122   8.722580 -0.71627709 -3.4737681 -1.381208        52
## X132          -1.653590   8.649974 -0.68354345 -3.0576077 -1.374923        64
## X133          -1.780911   8.416267 -0.60535429 -4.6051702 -1.386052        82
## X134          -1.631218   8.669056 -0.46201723 -1.5141277 -1.371699        70
## X135          -1.710172   8.760923 -0.71627709 -4.9198809 -1.395547        64
## X136          -1.647864   8.328451 -0.66750355 -4.1997051 -1.377815        64
## X137          -1.747018   8.143227 -0.83865049 -3.5404594 -1.390672        41
## X139          -1.671366   8.294050 -0.82034264 -3.1465552 -1.382507        57
## X140          -1.871938   8.674197 -0.59028711 -4.1997051 -1.376154        70
## X141          -1.871938   8.422883 -0.47567232 -3.1941832 -1.360233        70
## X143          -1.653590   8.266164 -1.01923714 -2.7968814 -1.360233        64
## X144          -1.751002   8.242756 -1.01923714 -4.6051702 -1.382507        64
## X145          -1.710172   8.760923 -0.89547834 -4.0173835 -1.363957        33
## X146          -1.631218   8.558335 -0.85726607 -2.6450754 -1.371699        88
## X147          -1.755051   8.738735 -0.74993753 -4.4228486 -1.360233        70
## X148          -1.571048   8.582981 -0.66750355 -2.8647040 -1.373705        73
## X149          -1.518336   8.625150 -0.71627709 -1.6607312 -1.386052        52
## X152          -1.724319   9.096051 -0.39571116 -3.6496587 -1.371699       107
## X153          -1.724319   8.474286 -0.66750355 -2.3538784 -1.371699        95
## X154          -1.518336   8.759355 -0.83865049 -3.1700857 -1.386052        62
## X155          -1.605032   8.509161 -1.08738275 -3.3813948 -1.363957        59
## X156          -1.631218   9.002085 -0.47567232 -2.3227878 -1.372498        67
## X157          -1.653590   8.887376 -0.89547834 -3.2441936 -1.367775        85
## X158          -1.590122   8.865029 -0.60535429 -4.0745419 -1.386052        62
## X159          -1.585271   7.933797 -0.59028711 -3.9633163 -1.383822        23
## X160          -1.683772   9.341369 -0.46201723 -4.4228486 -1.390672        62
## X161          -1.671366   8.887376 -0.56067607 -3.4112477 -1.367775        64
## X162          -1.647864   8.930626 -0.59028711 -3.7722611 -1.377815        49
## X163          -1.647864   8.501064 -0.60535429 -3.7722611 -1.381639        34
## X165          -1.653590   8.677610 -0.76713789 -3.8167128 -1.371699        57
## X166          -1.868851   8.649974 -0.59028711 -3.1465552 -1.389729        64
## X167          -1.647864   9.694000 -0.28367882 -4.9336743 -1.373705        64
## X168          -1.683772   8.894259 -0.39571116 -2.8824036 -1.376981        46
## X169          -1.631218   8.174703 -0.91510681 -4.8665350 -1.382507        70
## X170          -1.724319   7.922986 -0.99753895 -2.9957323 -1.349543        82
## X171          -1.671366   9.014325 -0.47567232 -4.2686979 -1.373705        54
## X172          -1.677510   8.692826 -0.91510681 -4.0745419 -1.405242        43
## X174          -1.625834   8.684401 -0.47567232 -4.4228486 -1.376154        54
## X175          -1.724319   8.503094 -0.76713789 -4.0745419 -1.371699        70
## X176          -1.671366   8.511175 -0.87620360 -1.6094379 -1.383822        64
## X177          -1.647864   8.776476 -0.68354345 -5.0832060 -1.363957        44
## X178          -1.724319   8.154788 -0.97630091 -0.4155154 -1.346117        34
## X179          -1.671366   8.188689 -0.71627709 -3.2968374 -1.376154        70
## X180          -1.653590   8.357024 -0.74993753 -4.6777409 -1.376154        82
## X181          -1.478464   8.347590 -1.04142304 -5.0832060 -1.367775        29
## X182          -1.710172   8.837826 -0.74993753 -3.1941832 -1.367775        64
## X183          -1.653590   8.048788 -1.26939244 -4.3428059 -1.360233        64
## X184          -1.590122   8.692826 -0.48946700 -2.9957323 -1.367775        70
## X185          -1.585271   8.180321 -0.69979867 -4.1351666 -1.373705        59
## X186          -1.724319   8.242756 -0.68354345 -4.1351666 -1.376154        45
## X189          -1.653590   8.345218 -0.87620360 -4.1997051 -1.382507        33
## X190          -1.647864   8.840725 -0.48946700 -4.7559931 -1.381639        54
## X191          -1.647864   8.846497 -0.76713789 -3.2968374 -1.360233        44
## X192          -1.441430   9.433484 -0.56067607 -4.4228486 -1.353033        54
## X193          -1.671366   9.002085 -0.59028711 -3.6496587 -1.389729        73
## X194          -1.647864   8.472196 -0.74993753 -3.7722611 -1.353033        44
## X195          -1.751002   9.367344 -0.32006598 -3.0791139 -1.367775        67
## X197          -1.780911   8.774931 -0.65167154 -3.5065579 -1.353033        82
## X198          -1.518336   8.478452 -0.83865049 -4.4228486 -1.363957        44
## X200          -1.653590   8.565983 -0.65167154 -4.7444323 -1.367775        43
## X201          -1.605032   8.470102 -0.83865049 -2.6882476 -1.373705        44
## X202          -1.710172   8.323608 -1.04142304 -2.6310892 -1.367775        48
## X205          -1.751002   9.037177 -0.62060338 -4.1351666 -1.386052        77
## X208          -1.571048   8.823206 -0.56067607 -3.7297014 -1.381639        44
## X210          -1.780911   8.273847 -0.59028711 -3.0791139 -1.360233        76
## X212          -1.780911   8.224164 -0.66750355 -3.0576077 -1.378653        44
## X213          -1.590122   8.465900 -0.69979867 -4.2686979 -1.349543        70
## X214          -1.459630   9.097172 -0.91510681 -2.1202635 -1.376981        41
## X215          -1.653590   8.691146 -0.76713789 -4.2686979 -1.367775        43
## X216          -1.647864   8.064636 -0.95549787 -4.4228486 -1.360233        44
## X218          -1.543930   8.283999 -0.87620360 -3.9633163 -1.373705        54
## X219          -1.671366   8.308938 -0.68354345 -3.7722611 -1.396051        44
## X220          -1.671366   8.492900 -0.59028711 -4.0173835 -1.378653        44
## X223          -1.605032   8.558335 -0.74993753 -4.4228486 -1.363957        43
## X224          -1.710172   8.874868 -0.68354345 -3.7297014 -1.367775        43
## X225          -1.653590   9.031214 -0.44849801 -4.8665350 -1.367775        53
## X226          -1.647864   9.277999 -0.59028711 -3.0159350 -1.381639        83
## X227          -1.780911   8.488794 -0.66750355 -3.9120230 -1.374923        74
## X228          -1.653590   8.474286 -0.87620360 -4.1351666 -1.360233        33
## X229          -1.780911   8.207947 -0.91510681 -4.2686979 -1.398625        45
## X230          -1.871938   8.480529 -0.93510686 -3.3813948 -1.376154        70
## X231          -1.590122   8.407378 -0.37004744 -2.4889147 -1.360233        57
## X232          -1.571048   8.785692 -0.73298708 -4.5098600 -1.363957        54
## X233          -1.751002   7.989560 -0.99753895 -4.2686979 -1.381639        34
## X234          -1.448638   8.420682 -0.74993753 -3.9120230 -1.360233        70
## X236          -1.724319   8.318742 -0.68354345 -4.7676891 -1.363957        57
## X237          -1.724319   8.765615 -0.78459824 -1.7147984 -1.367775        44
## X239          -1.605032   7.714231 -1.36134745 -2.8473123 -1.363957        33
## X240          -1.557281   8.345218 -1.01923714 -4.2686979 -1.374923        43
## X241          -1.780911   8.361708 -0.54612169 -3.2968374 -1.360233        45
## X242          -1.518336   8.306472 -0.78459824 -3.8632328 -1.363957        72
## X243          -1.625834   8.177516 -0.89547834 -2.5010360 -1.386959        44
## X244          -1.671366   8.433812 -0.74993753 -3.9120230 -1.373705        64
## X245          -1.571048   7.432484 -0.97630091 -4.2686979 -1.375743        23
## X246          -1.710172   8.499029 -0.78459824 -2.3025851 -1.367775        64
## X247          -1.751002   8.405144 -0.89547834 -3.1700857 -1.377815        39
## X249          -1.724319   9.341369 -0.48946700 -4.1351666 -1.376154        82
## X250          -1.518336   8.812843 -0.63604036 -3.4737681 -1.367775        72
## X251          -1.625834   8.743532 -0.73298708 -4.1351666 -1.378653        54
## X253          -1.724319   8.546752 -0.93510686 -3.1010928 -1.373705        64
## X254          -1.710172   9.016756 -0.19077873 -3.4737681 -1.356595        80
## X255          -1.671366   8.706159 -0.46201723 -1.8325815 -1.378653        73
## X256          -1.724319   8.550628 -0.66750355 -4.2686979 -1.378653        34
## X257          -1.625834   8.131531 -0.93510686 -4.2686979 -1.383822        44
## X258          -1.590122   9.187072 -0.68354345 -3.4420194 -1.381208        72
## X260          -1.830294   9.014325 -0.59028711 -4.6051702 -1.375743        64
## X261          -1.647864   7.955074 -0.69979867 -3.4737681 -1.367775         7
## X262          -1.571048   8.328451 -0.71627709 -3.9633163 -1.381639        39
## X263          -1.830294   8.905173 -0.51749076 -4.1997051 -1.377815        64
## X264          -1.724319   8.371011 -0.73298708 -3.4112477 -1.356595        69
## X265          -1.830294   8.896999 -0.73298708 -4.8158912 -1.373705        54
## X267          -1.751002   8.999619 -0.44849801 -3.4420194 -1.371699        70
## X268          -1.571048   8.767173 -0.47567232 -4.4228486 -1.360233        44
## X269          -1.653590   8.391630 -0.99753895 -3.5755508 -1.363957        33
## X270          -1.647864   9.546813 -0.69979867 -3.7297014 -1.386052        49
## X271          -1.571048   9.077951 -0.44849801 -3.3524072 -1.356595        64
## X272          -1.647864   8.773385 -0.68354345 -4.7559931 -1.375743        49
## X273          -1.647864   9.143132 -0.78459824 -5.2590967 -1.367775        78
## X274          -1.647864   8.400659 -0.54612169 -2.8824036 -1.386052        39
## X275          -1.780911   8.496990 -0.59028711 -5.0672056 -1.346117        53
## X277          -1.696685   8.304000 -0.74993753 -3.1941832 -1.371699        33
## X278          -1.710172   8.787220 -0.93510686 -3.7297014 -1.363957        53
## X279          -1.780911   8.271293 -0.85726607 -4.5098600 -1.353033        51
## X281          -1.631218   8.444622 -0.35738780 -2.8302178 -1.382507        82
## X282          -1.518336   8.308938 -0.83865049 -2.3751558 -1.363957        72
## X283          -1.571048   9.268609 -0.32006598 -3.3450880 -1.367775        92
## X287          -1.683772   8.794825 -0.54612169 -3.6888795 -1.376981        52
## X289          -1.605032   8.098643 -0.89547834 -4.1997051 -1.387873        33
## X290          -1.590122   8.478452 -0.93510686 -2.7646206 -1.367775        46
## X291          -1.871938   8.380227 -0.56067607 -2.6450754 -1.371699        57
## X292          -1.710172   8.771835 -0.46201723 -3.0576077 -1.387873        74
## X294          -1.557281   7.749322 -1.11122739 -3.1235656 -1.353033        43
## X297          -1.671366   8.283999 -0.57539617 -4.6777409 -1.386959        54
## X298          -1.751002   8.396155 -0.97630091 -3.0576077 -1.386052        62
## X299          -1.780911   8.610684 -0.69979867 -4.3428059 -1.389729        82
## X301          -1.671366   8.125631 -0.69979867 -4.4228486 -1.378653        54
## X302          -1.653590   7.926603 -1.13570251 -3.8167128 -1.367775        33
## X303          -1.830294   8.472196 -0.56067607 -4.0745419 -1.367775        54
## X304          -1.780911   9.143132 -0.33239959 -4.9062753 -1.383822        59
## X305          -1.647864   9.072227 -0.39571116 -3.4112477 -1.373705        73
## X306          -1.653590   9.124782 -0.71627709 -4.0173835 -1.353033        74
## X307          -1.710172   8.829080 -0.53172814 -3.3242363 -1.349543        64
## X308          -1.653590   8.648221 -0.59028711 -3.6496587 -1.360233        33
## X311          -1.724319   8.371011 -0.71627709 -3.3813948 -1.376154        54
## X312          -1.724319   8.874868 -0.37004744 -2.8302178 -1.367775        64
## X313          -1.571048   8.582981 -0.60535429 -3.5404594 -1.377815        54
## X314          -1.518336   8.662159 -0.66750355 -8.3774312 -1.386052        44
## X315          -1.710172   8.525161 -0.68354345 -3.2968374 -1.349543        48
## X316          -1.590122   8.820256 -0.62060338 -3.1235656 -1.390672        41
## X317          -1.751002   8.984694 -0.87620360 -2.3751558 -1.372498        62
## X320          -1.459630   8.470102 -0.74993753 -4.3428059 -1.363957        62
## X321          -1.590122   7.926603 -1.13570251 -3.4420194 -1.371699        52
## X322          -1.724319   8.722580 -0.47567232 -3.3242363 -1.360233        64
## X323          -1.830294   9.287301 -0.89547834 -4.8158912 -1.386052        54
## X324          -1.780911   8.398410 -0.80232932 -3.6496587 -1.339440        43
## X325          -1.571048   8.672486 -0.54612169 -4.3428059 -1.373705        54
## X326          -1.518336   8.470102 -0.97630091 -2.9374634 -1.395547        44
## X327          -1.871938   8.621553 -0.44849801 -1.9661129 -1.376154        82
## X329          -1.868851   8.588583 -0.39571116 -4.7330036 -1.371699        44
## X330          -1.780911   7.979339 -1.08738275 -4.7676891 -1.367775        70
## X331          -1.605032   8.149024 -0.68354345 -4.5098600 -1.386052        49
## X332          -1.571048   8.276395 -0.99753895 -4.1997051 -1.375743        54
## X333          -1.647864   9.694000 -0.24816638 -2.9759296 -1.373705        69
##              FAS FSH_Follicle_Stimulation_Hormon Fas_Ligand
## X1   -0.08338161                      -0.6516715  3.1014922
## X2   -0.52763274                      -1.6272839  2.9788133
## X3   -0.63487827                      -1.5630004  1.3600098
## X5   -0.12783337                      -0.9763009  4.0372847
## X6   -0.32850407                      -1.6832823  2.4071818
## X7   -0.71334989                      -1.2988756  3.1014922
## X8   -0.71334989                      -1.7833269  1.8664764
## X9   -0.82098055                      -0.6053543  3.5787773
## X11  -0.02020271                      -0.1795552  3.9808937
## X12  -0.71334989                      -1.4294363  2.6654557
## X14  -0.44628710                      -0.8023293  3.8673473
## X16  -0.41551544                      -1.9018595  3.5787773
## X17  -0.02020271                      -1.9376269  2.4071818
## X18  -0.82098055                      -1.4294363  2.7919923
## X19  -0.47803580                      -0.5034051  3.2828922
## X20  -0.63487827                      -1.4660558  1.0522633
## X21  -0.07257069                      -0.5753962  4.4253224
## X22  -0.30110509                      -1.8460158  0.3794001
## X23  -0.86750057                      -1.3613475  2.8546530
## X24  -0.07257069                      -1.3946054  3.6950395
## X25  -0.57981850                      -0.6997987  2.4071818
## X26  -0.16251893                      -0.9975390  3.1014922
## X28  -0.49429632                      -1.5208516  3.1014922
## X29  -1.04982212                      -1.2988756  1.8664764
## X30  -0.96758403                      -1.2409325  4.3156075
## X31  -0.82098055                      -1.3294863  3.8673473
## X34  -0.82098055                      -1.9987562  3.4613463
## X35  -0.82098055                      -1.4660558  2.9788133
## X36  -0.49429632                      -1.5586574  3.8673473
## X37  -0.28768207                      -0.8203426  2.6015565
## X38  -0.82098055                      -0.8762036  3.5787773
## X39  -0.44628710                      -1.6779529  2.0050277
## X40  -0.63487827                      -1.7397296  2.8546530
## X41  -0.52763274                      -2.1151130  2.6654557
## X42  -0.61618614                      -0.6053543  4.9086293
## X43  -0.57981850                      -1.1867361  4.0372847
## X44  -0.63487827                      -0.5753962  4.2049870
## X45  -0.05129329                      -0.8954783  2.4071818
## X46  -0.44628710                      -0.9975390  1.3600098
## X47  -0.75502258                      -1.0641271  2.5372201
## X48  -0.30110509                      -0.9351069  3.2828922
## X50  -0.44628710                      -0.3448394  7.6327510
## X51  -0.65392647                      -1.3294863  1.7253811
## X53  -0.52763274                      -0.8023293  3.1014922
## X55  -0.63487827                      -0.6206034  2.2752257
## X56  -0.71334989                      -1.1867361  4.4253224
## X57  -0.11653382                      -1.6520506  1.5084870
## X59  -0.71334989                      -0.9554979  4.6958484
## X60  -0.82098055                      -1.1357025  3.1014922
## X61  -0.71334989                      -0.6516715  3.1014922
## X62  -1.10866262                      -0.6997987  2.7919923
## X63  -0.37106368                      -1.5942865  3.5787773
## X64  -0.44628710                      -1.0641271  2.9788133
## X65  -0.73396918                      -0.8023293  1.6538133
## X67  -0.44628710                      -1.0641271  3.5787773
## X68  -0.08338161                      -1.0192371  2.2084887
## X69  -0.96758403                      -0.9151068  3.4613463
## X70  -0.44628710                      -0.9554979  3.2227633
## X71  -0.52763274                      -1.2134062  2.2752257
## X72   0.09531018                      -1.1112274  2.6654557
## X73  -0.15082289                      -0.8093644  4.8026281
## X74  -0.89159812                      -1.5047321  3.1014922
## X75  -0.52763274                      -0.8954783  2.2752257
## X76  -0.31471074                      -0.2020847  2.6654557
## X77  -0.47803580                      -0.6835434  2.2084887
## X78   0.33647224                      -0.4620172  4.1493268
## X80  -0.52763274                      -1.1608546  4.5882647
## X81  -0.71334989                      -0.3573878  2.3414512
## X82  -0.57981850                      -1.1608546  3.1014922
## X83  -0.26136476                      -1.5586574  3.6950395
## X84  -0.94160854                      -1.0641271  3.2828922
## X85  -0.31471074                      -1.0192371  3.2828922
## X86  -0.31471074                      -1.7768556  3.8673473
## X88  -0.24846136                      -1.0641271  4.9613454
## X90  -0.71334989                      -1.3946054  1.5084870
## X93  -0.47803580                      -1.6321526  2.2084887
## X94   0.09531018                      -0.8762036  3.2828922
## X95  -0.82098055                      -0.9351069  3.4613463
## X96  -0.32850407                      -1.3613475  2.7919923
## X97  -0.57981850                      -0.6360404  3.4021763
## X98  -1.51412773                      -1.3613475  1.7962595
## X99  -0.63487827                      -0.8762036  0.7271504
## X100 -0.71334989                      -0.9975390  2.3414512
## X103 -0.35667494                      -0.1463635  2.0050277
## X104 -0.71334989                      -1.4660558  3.4021763
## X105 -0.52763274                      -0.5317281  1.0522633
## X107 -0.52763274                      -0.6835434  1.4346609
## X108 -0.61618614                      -1.4294363  2.7919923
## X109 -0.94160854                      -1.2409325  2.2752257
## X110 -1.02165125                      -1.3946054  3.2828922
## X111 -0.34249031                      -0.6516715  1.8664764
## X112 -0.18632958                      -0.9975390  3.4613463
## X113 -0.02020271                      -1.3946054  4.5341630
## X114 -0.69314718                      -1.5673739  2.7919923
## X115 -0.71334989                      -0.6053543  3.8673473
## X117 -0.52763274                      -1.9018595  3.4613463
## X118 -0.26136476                      -0.8203426  3.6950395
## X121 -0.56211892                       0.0971503  2.3414512
## X123 -1.10866262                      -1.0414230  3.4613463
## X124 -1.04982212                      -0.8203426  2.5372201
## X126 -0.61618614                      -1.0641271  4.1493268
## X128 -0.31471074                      -1.3294863  3.2828922
## X129 -1.07880966                      -0.9151068  3.5787773
## X130 -0.07257069                      -1.1608546  3.4021763
## X131 -0.57981850                      -0.8386505  0.7271504
## X132 -0.71334989                      -1.6622675  2.7919923
## X133 -0.32850407                      -1.6726748  3.5202111
## X134  0.18232156                      -0.7671379  3.4021763
## X135 -0.57981850                      -1.4294363  3.1014922
## X136 -1.04982212                      -0.8572661  1.1306711
## X137 -0.73396918                      -1.2693924  2.1412227
## X139 -0.49429632                      -0.9554979  1.7253811
## X140 -0.26136476                      -1.0414230  3.9808937
## X141 -0.22314355                      -0.9975390  3.9808937
## X143 -0.82098055                      -1.6622675  3.7527477
## X144 -0.32850407                      -2.0466943  3.6950395
## X145 -0.96758403                      -0.5174908  2.4724332
## X146 -0.18632958                      -1.6995924  1.7253811
## X147 -0.32850407                      -1.1608546  3.9808937
## X148 -0.30110509                      -0.1463635  2.5372201
## X149 -0.52763274                      -0.9975390  1.6538133
## X152  0.09531018                      -1.4660558  5.7312462
## X153 -0.18632958                      -1.3946054  2.7919923
## X154 -0.73396918                      -1.4660558  0.7271504
## X155 -0.96758403                      -1.1357025  4.0372847
## X156 -0.63487827                      -1.0192371  2.8546530
## X157 -0.52763274                      -1.1112274  2.3414512
## X158 -0.73396918                      -0.5753962  1.0522633
## X159 -0.71334989                      -0.8762036  4.1493268
## X160 -0.28768207                      -1.2134062  4.0934276
## X161 -0.31471074                      -1.2409325  4.9086293
## X162 -0.30110509                      -0.3448394  3.6950395
## X163 -1.27296568                      -0.8954783  1.5084870
## X165 -0.75502258                      -1.0641271  4.8026281
## X166 -0.94160854                      -1.3613475  2.6654557
## X167 -0.18632958                      -0.9151068  4.2049870
## X168 -0.28768207                      -0.5753962  2.8546530
## X169 -0.32850407                      -1.2693924  2.7919923
## X170 -0.32850407                      -1.1357025  3.1014922
## X171 -0.44628710                      -1.0873827  3.8673473
## X172 -0.71334989                      -0.7845982  3.1014922
## X174 -0.24846136                      -1.7279412  4.1493268
## X175 -0.26136476                      -1.4660558  2.2752257
## X176 -0.37106368                      -0.8572661  3.2828922
## X177 -0.57981850                      -0.9763009  1.1306711
## X178 -0.94160854                      -0.9763009  3.5787773
## X179 -0.02020271                      -1.5332077  3.6950395
## X180 -0.12783337                      -0.7329871  4.8026281
## X181 -0.57981850                      -1.5458053  1.5084870
## X182 -0.44628710                      -1.7221470  2.4724332
## X183 -0.96758403                      -0.8762036  3.2828922
## X184  0.00000000                      -1.7397296  2.4071818
## X185 -0.31471074                      -1.0641271  2.6654557
## X186 -0.26136476                      -1.5127425  0.5565448
## X189 -0.57981850                      -1.0641271  2.7919923
## X190 -0.38566248                      -1.3613475  2.2084887
## X191 -0.57981850                      -1.5717783  2.5372201
## X192 -0.22314355                      -1.6420151  4.7493371
## X193 -0.52763274                      -0.7845982  4.1493268
## X194 -0.71334989                      -0.7845982  2.2084887
## X195 -0.28768207                      -0.4620172  3.3426940
## X197 -0.26136476                      -0.3957112  3.4021763
## X198 -1.04982212                      -1.1357025  3.1014922
## X200 -0.96758403                      -0.5606761  4.0372847
## X201 -0.34249031                      -1.5047321  0.8103017
## X202 -0.96758403                      -1.2988756  2.4724332
## X205 -0.63487827                      -1.3294863  3.8673473
## X208 -0.57981850                      -1.2134062  2.2084887
## X210 -0.18632958                      -0.7162771  4.9613454
## X212 -0.94160854                      -0.9554979  2.3414512
## X213 -0.12783337                      -0.9554979  3.1014922
## X214 -0.35667494                      -0.9351069  0.2880017
## X215 -0.44628710                      -1.4660558  3.1014922
## X216 -0.47803580                      -1.9568634  2.5372201
## X218 -0.26136476                      -1.7051413  3.6950395
## X219 -1.07880966                      -1.0873827  2.3414512
## X220 -0.71334989                      -0.8954783  2.0050277
## X223 -0.61618614                      -0.5753962  2.7919923
## X224 -0.96758403                      -1.5087252  2.1412227
## X225 -0.37106368                      -1.0641271  4.0372847
## X226 -0.15082289                      -1.1357025  2.2084887
## X227 -0.44628710                      -1.3946054  4.5882647
## X228 -0.96758403                      -1.4660558  3.7527477
## X229 -0.57981850                      -1.7579443  2.4071818
## X230 -0.02020271                      -1.0192371  2.7919923
## X231 -0.26136476                      -0.9763009  3.4021763
## X232 -0.86750057                      -1.8535550  0.8103017
## X233 -1.04982212                      -1.1867361  1.5084870
## X234 -0.40047757                      -1.2134062  2.4071818
## X236 -0.40047757                      -0.9151068  3.4021763
## X237 -0.61618614                      -1.6832823  2.6654557
## X239 -0.96758403                      -0.7671379  2.4724332
## X240 -0.96758403                      -1.3946054  3.7527477
## X241 -0.40047757                      -0.9975390  3.4021763
## X242 -0.67334455                      -1.5762143  2.8546530
## X243 -0.82098055                      -1.2988756  2.3414512
## X244 -0.71334989                      -0.9554979  2.3414512
## X245 -0.47803580                      -1.7457280  1.5084870
## X246 -0.49429632                      -1.3613475  2.4724332
## X247 -0.65392647                      -0.8572661  3.4021763
## X249 -0.05129329                      -0.8954783  3.4021763
## X250 -0.52763274                      -0.8572661  1.8664764
## X251 -1.07880966                      -0.6516715  2.2084887
## X253 -0.52763274                      -1.1357025  2.8546530
## X254 -0.03045921                      -0.6206034  5.7312462
## X255 -0.52763274                      -0.4756723  2.9788133
## X256 -1.07880966                      -0.9351069  2.0050277
## X257 -0.82098055                      -1.2409325  3.2828922
## X258 -0.35667494                      -0.4620172  2.5372201
## X260 -0.30110509                      -1.3946054  2.2084887
## X261 -1.07880966                      -1.3613475  4.1493268
## X262 -0.86750057                      -1.5806825  3.4021763
## X263 -0.30110509                      -0.8954783  2.2084887
## X264 -0.52763274                      -1.2134062  3.5787773
## X265 -0.57981850                      -1.4294363  2.3414512
## X267 -0.02020271                      -1.2988756  3.9808937
## X268 -0.57981850                      -0.9351069  4.2049870
## X269 -0.71334989                      -0.9975390  2.4724332
## X270 -0.22314355                      -1.6129165  3.9808937
## X271 -0.30110509                      -1.1608546  3.2828922
## X272 -0.57981850                      -1.6520506  2.2084887
## X273 -0.22314355                      -1.3613475  3.4021763
## X274 -0.47803580                      -1.6886644  2.5372201
## X275 -0.61618614                      -1.5087252  2.1412227
## X277 -0.32850407                      -1.3613475  3.4021763
## X278 -0.96758403                      -1.5586574  4.5882647
## X279 -0.40047757                      -0.8572661  2.0734090
## X281 -0.07257069                      -1.2988756  3.4021763
## X282 -0.52763274                      -1.2409325  0.2880017
## X283 -0.38566248                      -0.5174908  4.2049870
## X287 -0.63487827                      -0.9151068  1.6538133
## X289 -0.96758403                      -1.2134062  4.5882647
## X290 -0.63487827                      -0.6206034  0.2880017
## X291  0.00000000                      -0.7845982  2.4071818
## X292 -0.37106368                      -1.1112274  4.0372847
## X294 -0.82098055                      -2.0738009  2.4724332
## X297 -0.94160854                      -1.1357025  2.9788133
## X298 -0.94160854                      -1.7833269  1.3600098
## X299 -0.40047757                      -0.7162771  3.9808937
## X301 -0.94160854                      -1.7338014  4.9086293
## X302 -0.96758403                      -1.5047321  2.7919923
## X303 -0.38566248                      -1.5332077  2.2084887
## X304 -0.31471074                      -1.1608546  3.2828922
## X305 -0.30110509                      -1.3946054  3.1014922
## X306 -0.24846136                      -1.5673739  3.1014922
## X307 -0.37106368                      -1.5047321  4.5882647
## X308 -0.96758403                      -1.2409325  4.0372847
## X311 -0.71334989                      -0.6675036  3.5787773
## X312 -0.52763274                      -1.8460158  2.6654557
## X313 -0.71334989                      -1.1112274  2.2084887
## X314 -0.38566248                      -0.9554979  3.1014922
## X315 -0.61618614                      -1.2693924  3.7527477
## X316 -0.57981850                      -0.3573878  0.2880017
## X317 -0.52763274                      -0.6053543  2.8546530
## X320 -0.44628710                      -1.6622675  3.6370513
## X321 -0.86750057                      -1.5208516  1.3600098
## X322 -0.41551544                      -1.0414230  4.9086293
## X323 -0.15082289                      -1.5047321  2.8546530
## X324 -0.71334989                      -1.2409325  4.0372847
## X325 -0.47803580                      -0.8954783  2.5372201
## X326 -0.71334989                      -0.3957112  3.6950395
## X327 -0.02020271                      -1.2988756  2.7919923
## X329 -0.61618614                      -1.6082042  3.5787773
## X330 -0.26136476                      -0.8954783  2.7919923
## X331 -0.71334989                      -1.1112274 -0.1536154
## X332 -0.57981850                      -1.8535550  3.1014922
## X333 -0.08338161                      -0.5753962  3.6950395
##      Fatty_Acid_Binding_Protein  Ferritin  Fetuin_A Fibrinogen GRO_alpha
## X1                   2.52087117 3.3291650 1.2809338  -7.035589  1.381830
## X2                   2.24779664 3.9329588 1.1939225  -8.047190  1.372438
## X3                   0.90630094 3.1768716 1.4109870  -7.195437  1.412679
## X5                   2.63458831 2.6904158 2.1517622  -6.980326  1.398431
## X6                   0.62373057 1.8470768 1.4816045  -6.437752  1.398431
## X7                   1.59753955 3.4405882 1.1314021  -7.621105  1.338425
## X8                   0.74349177 2.8166378 1.6677068  -6.502290  1.350892
## X9                   0.34805188 2.3817805 1.0647107  -7.902008  1.381830
## X11                  0.62373057 3.0596443 1.4350845  -7.523941  1.412679
## X12                  0.55980793 3.3291650 1.4109870  -7.278819  1.398431
## X14                  1.53020362 3.0199602 1.3862944  -6.991137  1.440955
## X16                  2.65289688 2.2426407 1.4816045  -7.222466  1.412679
## X17                  0.49280272 2.5607017 1.7578579  -6.319969  1.419083
## X18                  1.05291638 2.5607017 0.8754687  -7.402052  1.324552
## X19                  0.26936976 1.7416574 1.3350011  -6.959049  1.405814
## X20                  1.49546653 2.4271887 1.5260563  -5.843045  1.430692
## X21                  1.14329840 2.2426407 1.3350011  -7.182192  1.398431
## X22                  2.20192082 4.0663004 0.8754687  -7.385791  1.405814
## X23                  1.05291638 3.0596443 1.0986123  -7.641724  1.338425
## X24                  0.90630094 4.6332496 1.1631508  -7.600902  1.372438
## X25                  0.49280272 2.6475800 1.0986123  -7.435388  1.308996
## X26                  1.89864831 3.0199602 1.0986123  -7.452482  1.381830
## X28                  2.31450540 4.3245553 1.3083328  -7.323271  1.350892
## X29                  0.62373057 2.2895221 1.0986123  -7.875339  1.338425
## X30                  0.26936976 2.3817805 0.9162907  -7.875339  1.398431
## X31                  1.78455817 2.5166359 1.5040774  -6.645391  1.381830
## X34                  1.09877705 2.0496913 1.5686159  -6.969631  1.458333
## X35                  0.79981129 2.2426407 1.7749524  -7.236259  1.362172
## X36                  1.45997005 0.8982753 1.8562980  -6.571283  1.445658
## X37                  2.35766182 3.3291650 1.0986123  -7.505592  1.398431
## X38                  1.26963623 1.6331804 1.0296194  -7.561682  1.398431
## X39                  2.29253952 3.7271284 0.9932518  -8.111728  1.291400
## X40                  1.56421694 2.1952354 1.4350845  -7.824046  1.430692
## X41                  1.42367579 2.4721360 2.0541237  -6.377127  1.398431
## X42                  1.42367579 2.6475800 1.3609766  -7.487574  1.398431
## X43                  0.90630094 1.9496835 1.3083328  -7.143478  1.362172
## X44                  2.15484541 2.5607017 1.4816045  -6.812445  1.362172
## X45                  2.87633811 3.8991525 1.6486586  -6.571283  1.425073
## X46                  2.24779664 2.9396356 0.6418539  -8.180721  1.372438
## X47                  0.49280272 2.0000000 1.4109870  -7.505592  1.405814
## X48                  1.95297508 3.9329588 0.7884574  -8.111728  1.405814
## X50                  2.03141194 2.6904158 1.2237754  -7.354042  1.435976
## X51                  2.08182149 2.9396356 1.2809338  -7.278819  1.338425
## X53                  1.18656534 2.2426407 1.2809338  -6.907755  1.390462
## X55                  1.45997005 3.8651513 1.1314021  -7.641724  1.372438
## X56                  1.78455817 2.1472883 1.8405496  -7.208860  1.390462
## X57                  1.89864831 3.7619441 1.2527630  -7.264430  1.338425
## X59                  2.08182149 3.1380930 1.6094379  -7.082109  1.430692
## X60                 -0.06149412 2.2895221 0.9932518  -6.812445  1.381830
## X61                  0.74349177 2.4271887 1.2237754  -7.013116  1.362172
## X62                 -0.81662520 0.8982753 0.9555114  -7.662778  1.324552
## X63                  1.69366072 4.2928531 1.3350011  -7.250246  1.390462
## X64                  1.59753955 2.7328638 1.8870696  -7.195437  1.430692
## X65                  1.56421694 3.2915026 0.4700036  -8.254829  1.372438
## X67                  1.05291638 3.2535702 1.0296194  -7.523941  1.390462
## X68                  1.26963623 3.2153619 1.5040774  -7.278819  1.308996
## X69                  0.79981129 1.2863353 1.3609766  -7.957577  1.308996
## X70                  1.38654222 2.1952354 0.9162907  -7.957577  1.381830
## X71                  1.72450839 3.3291650 1.4816045  -7.505592  1.350892
## X72                  2.31450540 2.0987803 1.9169226  -6.505132  1.372438
## X73                  2.31450540 3.4037024 1.3609766  -7.354042  1.338425
## X74                 -0.41274719 2.2895221 1.5260563  -7.143478  1.362172
## X75                  1.30957344 2.0000000 1.7227666  -6.437752  1.430692
## X76                  2.92446596 3.4772256 1.4586150  -7.130899  1.430692
## X77                  2.03141194 4.6332496 1.4109870  -6.319969  1.462144
## X78                  3.21875915 2.7328638 1.4816045  -6.502290  1.445658
## X80                  1.18656534 3.0990195 1.2237754  -6.917806  1.338425
## X81                  1.09877705 2.0496913 1.3350011  -7.902008  1.419083
## X82                  1.38654222 2.4721360 1.3350011  -7.338538  1.350892
## X83                  0.95678949 3.8309519 1.4586150  -8.804875  1.372438
## X84                  1.14329840 2.1952354 1.4816045  -7.250246  1.435976
## X85                  0.49280272 4.0991803 1.7917595  -7.182192  1.362172
## X86                  2.17853747 3.5497748 2.1162555  -6.214608  1.435976
## X88                  2.08182149 3.5136195 1.4816045  -6.917806  1.430692
## X90                 -1.04412698 1.2249031 0.5877867  -8.873868  1.350892
## X93                  1.56421694 3.6568542 1.4350845  -6.959049  1.372438
## X94                  3.70550563 3.2915026 2.1860513  -6.502290  1.475713
## X95                  0.55980793 3.5136195 1.2809338  -7.469874  1.405814
## X96                  1.09877705 3.2915026 0.8329091  -7.986565  1.381830
## X97                  1.72450839 2.8166378 0.9555114  -7.875339  1.381830
## X98                  0.42235886 2.0496913 1.0296194  -8.468403  1.324552
## X99                  2.39982883 3.0596443 1.0647107  -6.812445  1.405814
## X100                 1.45997005 3.0990195 1.3609766  -7.751725  1.362172
## X103                 3.21875915 3.2535702 1.3083328  -7.799353  1.405814
## X104                 1.56421694 3.6920998 1.1939225  -7.323271  1.372438
## X105                 1.66223369 3.7619441 1.1314021  -7.706263  1.372438
## X107                 1.87083027 2.6904158 1.2237754  -7.208860  1.398431
## X108                 1.38654222 3.5136195 2.0014800  -7.070274  1.338425
## X109                 0.68487244 2.6475800 0.6418539  -8.517193  1.350892
## X110                 0.79981129 2.6904158 0.7419373  -8.334872  1.435976
## X111                 1.63020224 3.9329588 1.1314021  -7.293418  1.350892
## X112                 2.86003086 2.9799598 1.8870696  -6.214608  1.425073
## X113                 1.95297508 3.7965507 2.1041342  -5.991465  1.390462
## X114                 0.34805188 1.1622777 1.0647107  -7.035589  1.381830
## X115                 0.49280272 2.3358967 1.8870696  -6.437752  1.450108
## X117                 1.75480019 2.3817805 1.2527630  -7.452482  1.398431
## X118                 2.52087117 3.4772256 1.2237754  -7.452482  1.435976
## X121                 2.54030520 3.3665631 1.7227666  -7.250246  1.398431
## X123                -0.01004024 0.6832816 0.9162907  -8.334872  1.350892
## X124                 0.26936976 2.5166359 1.7404662  -7.182192  1.338425
## X126                 1.42367579 1.7416574 1.1631508  -7.195437  1.381830
## X128                 0.55980793 2.3817805 1.9878743  -6.725434  1.454327
## X129                 0.00000000 2.5607017 1.2527630  -7.600902  1.338425
## X130                 1.26963623 2.9799598 1.6292405  -6.571283  1.372438
## X131                 1.30957344 2.5166359 1.1314021  -7.418581  1.372438
## X132                 1.69366072 2.7749346 1.5892352  -7.143478  1.362172
## X133                 1.05291638 3.5856960 1.8082888  -5.914504  1.271288
## X134                 0.68487244 3.6213877 1.6094379  -6.812445  1.398431
## X135                 2.15484541 2.0496913 1.5686159  -7.250246  1.308996
## X136                 1.09877705 1.6878178 1.2809338  -6.907755  1.412679
## X137                 0.79981129 1.5777088 0.9555114  -7.902008  1.381830
## X139                 0.90630094 3.2153619 1.0647107  -7.662778  1.338425
## X140                 1.56421694 2.6475800 1.2809338  -7.250246  1.398431
## X141                 1.49546653 3.2915026 1.7227666  -6.437752  1.419083
## X143                 0.85402456 2.5166359 1.2527630  -7.561682  1.350892
## X144                 1.49546653 3.3291650 1.2809338  -7.070274  1.372438
## X145                 0.79981129 2.3817805 1.0647107  -8.180721  1.350892
## X146                 1.66223369 2.8989795 1.8718022  -6.725434  1.381830
## X147                 1.63020224 3.1380930 1.4816045  -7.024289  1.412679
## X148                 1.14329840 2.6043458 2.0281482  -6.907755  1.425073
## X149                 0.90630094 2.3358967 0.9162907  -7.875339  1.381830
## X152                 2.46133172 4.1318839 1.8245493  -6.571283  1.494568
## X153                 1.42367579 3.0990195 1.9459101  -8.111728  1.372438
## X154                 1.38654222 3.0199602 0.7419373  -7.542634  1.308996
## X155                 1.22865470 2.7328638 1.1939225  -7.986565  1.372438
## X156                 1.81380304 3.3291650 1.6486586  -6.991137  1.390462
## X157                 2.17853747 2.6904158 0.8754687  -7.957577  1.324552
## X158                 1.14329840 2.9396356 1.0647107  -7.799353  1.350892
## X159                 0.62373057 1.1622777 0.9555114  -6.917806  1.450108
## X160                 2.13083532 3.7271284 1.0647107  -7.452482  1.350892
## X161                 0.09622438 2.3358967 1.5892352  -7.706263  1.419083
## X162                 2.13083532 3.2153619 0.6931472  -7.751725  1.405814
## X163                 0.62373057 2.6043458 0.8754687  -7.561682  1.390462
## X165                 2.33621055 2.9799598 0.9555114  -7.402052  1.390462
## X166                 0.95678949 2.8166378 0.9555114  -7.728736  1.350892
## X167                 2.10649743 3.4772256 0.9162907  -7.875339  1.372438
## X168                 1.38654222 2.7328638 1.3609766  -7.418581  1.350892
## X169                 0.95678949 1.7947332 1.2527630  -7.182192  1.324552
## X170                 0.68487244 3.3665631 1.5475625  -7.013116  1.372438
## X171                 1.53020362 2.5166359 1.8405496  -7.323271  1.381830
## X172                 0.79981129 2.8166378 1.2809338  -7.323271  1.381830
## X174                 1.26963623 3.4405882 2.1400662  -8.421883  1.412679
## X175                 2.54030520 2.7749346 1.6094379  -5.914504  1.435976
## X176                 0.95678949 2.1952354 1.4350845  -8.873868  1.419083
## X177                 2.03141194 2.9799598 1.1314021  -8.016418  1.338425
## X178                 0.26936976 0.6076810 1.0986123  -7.799353  1.412679
## X179                 0.09622438 1.8470768 2.1633230  -7.323271  1.398431
## X180                 1.89864831 2.8579831 1.2527630  -7.369791  1.398431
## X181                 1.00562217 2.0000000 1.0647107  -8.254829  1.291400
## X182                 0.42235886 3.2535702 0.9555114  -7.435388  1.324552
## X183                 1.14329840 1.0331502 1.7227666  -6.645391  1.372438
## X184                 0.68487244 2.4271887 1.0986123  -7.561682  1.372438
## X185                 1.89864831 1.9496835 1.8562980  -6.812445  1.435976
## X186                 1.42367579 2.6475800 1.2527630  -7.208860  1.308996
## X189                 0.62373057 2.7328638 0.5306283  -7.487574  1.338425
## X190                 1.49546653 3.5497748 1.1631508  -7.293418  1.291400
## X191                 1.69366072 2.8989795 1.2809338  -7.338538  1.308996
## X192                 2.57858283 3.3665631 1.4586150  -7.684284  1.425073
## X193                 1.78455817 3.1380930 1.4350845  -7.278819  1.405814
## X194                 0.26936976 3.1380930 1.5686159  -7.469874  1.308996
## X195                 2.50123416 3.2153619 1.2237754  -7.523941  1.412679
## X197                 1.59753955 3.3665631 1.5040774  -7.118476  1.405814
## X198                 0.79981129 1.6878178 1.1631508  -7.418581  1.350892
## X200                 1.18656534 3.0990195 0.9555114  -7.662778  1.372438
## X201                 0.79981129 2.5607017 1.3609766  -7.561682  1.381830
## X202                 0.62373057 2.6043458 0.8754687  -8.294050  1.308996
## X205                 1.97951393 3.4772256 1.2809338  -7.487574  1.390462
## X208                 1.05291638 3.5136195 1.9600948  -6.948577  1.291400
## X210                 1.97951393 2.6043458 1.3350011  -7.106206  1.398431
## X212                 1.84255429 2.2426407 1.3350011  -7.621105  1.390462
## X213                 2.08182149 3.2153619 1.6486586  -6.812445  1.405814
## X214                 2.24779664 2.4271887 1.4109870  -7.013116  1.462144
## X215                 1.59753955 2.9799598 0.7884574  -7.824046  1.324552
## X216                 0.95678949 1.6331804 1.5686159  -6.119298  1.425073
## X218                -0.12621307 1.8987177 1.7227666  -6.571283  1.398431
## X219                 0.55980793 1.5777088 1.2809338  -7.684284  1.412679
## X220                 0.85402456 2.4271887 0.9555114  -7.849364  1.390462
## X223                 1.84255429 3.1768716 1.7578579  -6.917806  1.338425
## X224                 1.26963623 2.6475800 1.2527630  -7.264430  1.308996
## X225                 3.07697133 2.2895221 0.8754687  -7.418581  1.372438
## X226                 2.31450540 3.4405882 1.2237754  -7.024289  1.398431
## X227                 1.78455817 2.5166359 2.2512918  -6.214608  1.398431
## X228                 0.49280272 1.2863353 0.7419373  -7.070274  1.362172
## X229                 1.18656534 1.6878178 1.3350011  -7.621105  1.381830
## X230                 1.63020224 2.1952354 1.5260563  -7.293418  1.390462
## X231                 1.09877705 2.7328638 1.1939225  -6.907755  1.381830
## X232                 1.00562217 2.8989795 1.5040774  -7.143478  1.362172
## X233                 0.85402456 2.0987803 1.2237754  -7.469874  1.398431
## X234                 2.08182149 3.0199602 1.4586150  -7.250246  1.271288
## X236                -0.17134851 2.9396356 0.9932518  -7.621105  1.324552
## X237                 1.00562217 4.3245553 2.0281482  -7.182192  1.390462
## X239                 0.09622438 1.0331502 0.6418539  -8.217089  1.271288
## X240                 0.85402456 2.2895221 0.9162907  -8.145630  1.324552
## X241                 1.53020362 3.4405882 1.7578579  -8.047190  1.338425
## X242                 0.85402456 1.7416574 1.9399676  -7.600902  1.372438
## X243                 0.26936976 2.8579831 1.6292405  -6.938214  1.362172
## X244                 2.17853747 3.8991525 1.3862944  -7.799353  1.435976
## X245                -0.10425819 2.3817805 0.7419373  -8.740337  1.390462
## X246                 1.34852439 2.5166359 1.9459101  -7.208860  1.362172
## X247                 0.90630094 2.1952354 0.6931472  -8.180721  1.398431
## X249                 3.21875915 4.0332413 1.0296194  -7.581100  1.398431
## X250                 1.38654222 2.5607017 1.3083328  -7.600902  1.381830
## X251                 0.85402456 1.6331804 1.1631508  -7.775256  1.362172
## X253                 1.45997005 2.3358967 1.5260563  -6.502290  1.405814
## X254                 3.07697133 4.0332413 1.9315214  -7.250246  1.398431
## X255                 1.87083027 2.9396356 1.6094379  -8.740337  1.405814
## X256                 1.00562217 3.5136195 0.7884574  -8.334872  1.324552
## X257                -0.05103109 2.7749346 0.9162907  -7.775256  1.362172
## X258                 2.70679585 3.0596443 1.7578579  -6.948577  1.390462
## X260                 1.30957344 3.3665631 1.5686159  -6.938214  1.440955
## X261                 0.26936976 2.0496913 0.9555114  -8.111728  1.398431
## X262                 0.09622438 3.0596443 1.2527630  -7.308233  1.390462
## X263                 1.78455817 3.1380930 1.7227666  -7.561682  1.372438
## X264                 1.66223369 3.0596443 1.9315214  -6.502290  1.350892
## X265                 1.00562217 2.4271887 1.3609766  -7.775256  1.350892
## X267                 2.27030576 3.2535702 1.3609766  -7.047017  1.390462
## X268                 1.87083027 3.0990195 1.4109870  -7.600902  1.362172
## X269                 0.62373057 1.7416574 0.9162907  -7.875339  1.324552
## X270                 2.13083532 2.7749346 0.9932518  -7.662778  1.440955
## X271                 1.84255429 4.0000000 1.5686159  -6.959049  1.398431
## X272                 1.09877705 3.0199602 1.6094379  -7.824046  1.350892
## X273                 1.92602476 3.6568542 1.2237754  -7.222466  1.350892
## X274                 1.09877705 3.4037024 1.2237754  -7.505592  1.398431
## X275                 1.66223369 2.9396356 1.6292405  -8.047190  1.338425
## X277                 0.95678949 3.4405882 1.7227666  -6.725434  1.405814
## X278                 1.53020362 3.6568542 1.0647107  -6.725434  1.324552
## X279                 0.62373057 2.2426407 1.2527630  -7.706263  1.381830
## X281                 2.15484541 3.0990195 1.2809338  -6.571283  1.398431
## X282                 1.72450839 2.2426407 1.6094379  -8.740337  1.419083
## X283                 1.87083027 4.6332496 1.6094379  -6.725434  1.435976
## X287                 1.45997005 3.1380930 1.0647107  -7.775256  1.372438
## X289                 0.42235886 2.3358967 1.0296194  -7.542634  1.338425
## X290                 1.34852439 1.7947332 0.8329091  -7.824046  1.445658
## X291                 1.59753955 3.3291650 1.2809338  -7.058578  1.475713
## X292                 2.00565516 3.8309519 1.6292405  -7.236259  1.350892
## X294                 0.42235886 1.7947332 1.2237754  -7.662778  1.308996
## X297                 0.74349177 2.3817805 1.2237754  -8.016418  1.350892
## X298                 1.22865470 1.7416574 1.4350845  -7.082109  1.291400
## X299                 2.24779664 2.7328638 1.1314021  -7.581100  1.372438
## X301                 0.79981129 1.6878178 1.1314021  -8.047190  1.362172
## X302                -0.06149412 1.4641016 1.2527630  -7.469874  1.271288
## X303                 1.09877705 3.0596443 1.6677068  -7.156217  1.308996
## X304                 2.74190799 2.3817805 0.9555114  -7.728736  1.445658
## X305                 0.55980793 4.1644140 1.2809338  -6.980326  1.390462
## X306                 2.10649743 1.4058773 1.8082888  -7.106206  1.412679
## X307                 2.75922787 4.6332496 1.9315214  -5.914504  1.372438
## X308                 1.69366072 2.8166378 1.6677068  -6.725434  1.381830
## X311                 0.68487244 2.7328638 1.5040774  -7.600902  1.412679
## X312                 2.13083532 3.8309519 1.5040774  -7.293418  1.390462
## X313                 1.49546653 2.3358967 1.4586150  -7.505592  1.440955
## X314                 1.05291638 2.0987803 0.8754687  -8.334872  1.324552
## X315                 0.68487244 2.6475800 1.8245493  -7.024289  1.372438
## X316                 1.69366072 3.2153619 1.1631508  -7.799353  1.338425
## X317                 1.78455817 2.8166378 1.1631508  -7.581100  1.350892
## X320                 0.26936976 2.3358967 1.9740810  -6.725434  1.308996
## X321                 0.55980793 1.7947332 1.9600948  -7.728736  1.324552
## X322                 1.00562217 3.2915026 1.8562980  -6.377127  1.398431
## X323                 1.53020362 3.0199602 1.2809338  -7.195437  1.338425
## X324                 1.26963623 2.5166359 0.4700036  -8.468403  1.271288
## X325                 1.18656534 2.1952354 1.7749524  -6.907755  1.398431
## X326                 1.78455817 1.8987177 0.7419373  -7.986565  1.398431
## X327                 1.95297508 3.5136195 1.3609766  -7.293418  1.398431
## X329                 1.53020362 2.0496913 1.1314021  -7.775256  1.405814
## X330                 0.90630094 2.0000000 2.1972246  -6.571283  1.381830
## X331                 0.55980793 1.6331804 1.0296194  -7.236259  1.372438
## X332                -0.38485910 2.4271887 1.3609766  -7.024289  1.362172
## X333                 2.33621055 3.0596443 1.5475625  -7.236259  1.350892
##      Gamma_Interferon_induced_Monokin Glutathione_S_Transferase_alpha    HB_EGF
## X1                           2.949822                       1.0641271  6.559746
## X2                           2.721793                       0.8670202  8.754531
## X3                           2.762231                       0.8890150  7.745463
## X5                           2.851987                       1.2358607  7.245150
## X6                           2.822442                       1.1538270  6.413012
## X7                           2.739315                       1.1421966  6.262563
## X8                           2.966101                       1.0343625  6.559746
## X9                           2.584357                       0.9853483  9.736307
## X11                          2.701785                       0.9676836  8.542148
## X12                          2.769220                       1.0782394  6.108135
## X14                          2.924402                       1.0495119  7.745463
## X16                          2.911527                       0.7941114  8.754531
## X17                          2.845167                       1.1538270  6.413012
## X18                          2.956388                       1.1970974  5.264609
## X19                          3.019718                       1.0343625  4.254800
## X20                          2.708297                       0.8670202  6.262563
## X21                          2.929867                       0.9853483  7.373808
## X22                          2.724975                       0.7083677  9.454406
## X23                          2.568127                       0.8439372  6.979888
## X24                          2.614139                       0.8890150  7.500000
## X25                          2.667835                       1.0343625  5.949436
## X26                          2.788951                       0.8890150  9.358191
## X28                          2.680311                       0.9853483  7.245150
## X29                          2.713850                       0.9300710  6.262563
## X30                          2.766469                       1.2358607  3.779716
## X31                          2.790112                       1.2871473  4.474569
## X34                          2.883453                       1.1178380  5.264609
## X35                          2.802914                       0.8890150  7.982407
## X36                          2.848747                       1.0186444  6.842982
## X37                          2.786199                       0.9676836  7.982407
## X38                          2.919789                       1.0023201  6.413012
## X39                          2.620513                       0.8890150  6.979888
## X40                          2.876049                       1.0641271  5.949436
## X41                          2.825646                       1.1302068  8.211578
## X42                          2.603403                       0.7083677  7.982407
## X43                          2.927719                       1.2071782  5.444179
## X44                          2.908388                       0.7671379  7.864950
## X45                          2.792403                       1.0343625  9.260790
## X46                          2.762231                       0.7941114  8.542148
## X47                          2.757357                       0.8439372  6.413012
## X48                          2.879640                       1.1050693  6.559746
## X50                          2.787386                       0.9100066  9.454406
## X51                          2.829324                       0.7386101  7.113891
## X53                          2.848276                       0.9100066  7.245150
## X55                          2.637144                       0.7083677  8.649098
## X56                          2.852215                       0.8439372  7.500000
## X57                          2.864362                       0.7386101  5.617858
## X59                          2.974175                       0.7671379  7.982407
## X60                          2.936028                       1.0023201  4.474569
## X61                          2.742679                       1.1651160  4.885442
## X62                          2.684529                       1.1970974  5.949436
## X63                          2.726228                       1.0186444  6.262563
## X64                          3.065368                       1.0023201  7.113891
## X65                          2.632564                       0.7671379  7.864950
## X67                          2.674201                       0.7386101  7.113891
## X68                          2.713850                       0.8670202  5.786135
## X69                          2.732330                       1.0641271  4.474569
## X70                          2.809013                       0.9853483  7.745463
## X71                          2.780093                       1.0186444  6.559746
## X72                          2.928799                       0.9676836  9.162164
## X73                          2.939917                       0.9853483  7.745463
## X74                          2.916177                       1.2950103  3.272102
## X75                          2.939917                       0.9853483  6.413012
## X76                          2.818539                       0.8439372  9.454406
## X77                          2.946345                       0.8670202  5.786135
## X78                          2.943646                       0.9676836  7.745463
## X80                          2.735867                       1.1760805  6.413012
## X81                          2.760303                       0.9300710  7.982407
## X82                          2.757852                       0.9676836  6.413012
## X83                          2.668760                       0.9676836  6.702998
## X84                          2.774554                       0.9492763  6.979888
## X85                          2.851530                       0.9676836  7.373808
## X86                          2.851530                       1.0023201  8.323453
## X88                          2.909446                       1.1050693  5.444179
## X90                          2.668760                       0.6419718  2.103023
## X93                          2.881737                       0.6762264  6.979888
## X94                          3.032417                       0.7941114  9.828139
## X95                          2.868085                       1.3175721  6.108135
## X96                          2.827923                       0.8439372  9.736307
## X97                          2.778414                       0.9676836  8.649098
## X98                          2.694967                       1.0495119  4.684412
## X99                          2.873869                       0.7941114  6.413012
## X100                         2.722435                       0.8670202  8.433621
## X103                         2.876049                       0.7671379  8.097921
## X104                         2.705439                       0.7941114  7.745463
## X105                         2.579644                       0.8439372  7.745463
## X107                         2.752296                       1.1760805  6.842982
## X108                         2.832888                       0.8439372  5.949436
## X109                         2.646995                       0.7671379  6.842982
## X110                         2.750740                       1.2265482  5.264609
## X111                         2.636011                       0.9300710  5.786135
## X112                         2.893035                       1.1421966  5.617858
## X113                         2.875131                       1.0186444  8.542148
## X114                         2.694190                       0.9676836  5.786135
## X115                         2.845409                       1.0186444  5.949436
## X117                         2.806678                       1.1970974  6.559746
## X118                         2.968193                       0.8439372  7.745463
## X121                         3.000719                       0.7083677  8.097921
## X123                         2.706159                       1.1760805  4.885442
## X124                         2.872708                       0.7941114  5.264609
## X126                         2.715877                       0.9300710  6.842982
## X128                         2.763185                       0.8670202  8.323453
## X129                         2.690241                       0.6762264  6.559746
## X130                         2.901221                       1.0782394  9.260790
## X131                         2.532501                       0.9100066  6.979888
## X132                         2.766469                       1.1050693  6.559746
## X133                         2.786199                       0.9492763  8.323453
## X134                         2.791263                       1.0186444  9.454406
## X135                         2.893035                       1.1970974  4.684412
## X136                         2.905282                       0.7083677  7.745463
## X137                         2.568127                       0.9676836  7.373808
## X139                         2.665023                       0.7941114  6.842982
## X140                         2.860121                       0.9676836  6.702998
## X141                         2.604783                       1.0343625  8.961066
## X143                         2.767852                       1.2358607  4.684412
## X144                         2.911270                       0.8439372  5.264609
## X145                         2.674201                       1.0343625  5.617858
## X146                         2.950670                       0.9853483  5.444179
## X147                         2.858842                       0.8196703  4.254800
## X148                         2.908918                       0.7941114  4.023747
## X149                         2.790112                       0.9300710  5.786135
## X152                         2.984412                       0.9300710  7.113891
## X153                         2.731131                       0.9853483  7.982407
## X154                         2.579644                       0.7671379  6.413012
## X155                         2.691833                       1.1421966  5.078583
## X156                         2.926626                       0.8670202  6.559746
## X157                         2.903482                       1.1302068  6.413012
## X158                         2.557619                       0.9100066  6.702998
## X159                         2.845892                       0.9492763  7.623847
## X160                         2.769220                       0.9676836  5.786135
## X161                         2.843211                       1.0186444 10.528568
## X162                         2.875866                       0.7671379  6.559746
## X163                         2.678590                       0.7671379  5.786135
## X165                         2.788951                       0.8196703  6.413012
## X166                         2.662160                       0.9100066  7.373808
## X167                         2.843948                       0.7941114  9.062271
## X168                         2.681164                       0.9853483  8.097921
## X169                         2.824491                       1.0641271  4.023747
## X170                         2.881391                       1.0495119  5.444179
## X171                         2.823909                       0.9100066  9.549474
## X172                         2.694967                       1.2265482  6.262563
## X174                         2.886307                       0.9676836  8.649098
## X175                         2.786199                       0.8890150  6.979888
## X176                         2.823031                       1.0023201  6.262563
## X177                         2.760303                       1.0343625  6.108135
## X178                         2.704715                       0.9300710  6.108135
## X179                         2.891000                       1.0782394  7.982407
## X180                         3.008161                       0.9853483  7.245150
## X181                         2.596327                       0.7083677  6.979888
## X182                         2.773241                       1.1178380  5.444179
## X183                         2.823325                       1.3102163  4.474569
## X184                         2.654255                       0.8670202  8.542148
## X185                         2.771914                       0.8670202  8.323453
## X186                         2.701785                       0.9853483  8.323453
## X189                         2.777140                       0.7671379  5.078583
## X190                         2.839703                       0.8670202  6.108135
## X191                         2.715205                       0.7083677  6.702998
## X192                         2.845409                       0.7083677  8.097921
## X193                         2.852896                       0.7083677  9.260790
## X194                         2.771023                       0.9300710  5.786135
## X195                         2.708297                       0.7083677  7.745463
## X197                         2.815134                       0.9676836  8.097921
## X198                         2.743782                       0.7671379  3.779716
## X200                         2.735867                       1.0023201  6.559746
## X201                         2.785402                       0.9300710  7.745463
## X202                         2.712482                       1.1050693  4.023747
## X205                         2.557619                       0.7671379  6.979888
## X208                         2.824491                       1.0023201  8.649098
## X210                         2.919789                       0.9492763  9.454406
## X212                         2.700297                       0.9492763  6.262563
## X213                         2.754850                       1.0186444  8.323453
## X214                         2.874020                       0.9100066  5.949436
## X215                         2.656269                       1.1651160  6.108135
## X216                         2.752811                       0.9676836  7.245150
## X218                         2.890046                       0.9300710  6.413012
## X219                         2.687819                       0.8670202  6.842982
## X220                         2.594876                       0.7671379  7.623847
## X223                         2.710405                       1.1760805  5.949436
## X224                         2.735867                       1.2169911  5.786135
## X225                         2.744330                       1.0343625  6.108135
## X226                         2.768310                       0.5660797  5.078583
## X227                         2.763659                       1.2537933  5.264609
## X228                         2.653238                       1.1970974  5.617858
## X229                         2.665023                       0.8196703  6.559746
## X230                         2.963228                       0.9676836  6.413012
## X231                         2.767393                       1.0782394 10.695079
## X232                         2.697275                       1.0186444  7.623847
## X233                         2.771023                       0.7941114  5.444179
## X234                         2.715877                       1.1050693  7.500000
## X236                         2.767393                       0.9853483  7.745463
## X237                         2.763185                       0.9300710  6.262563
## X239                         2.875683                       1.1302068  4.684412
## X240                         2.791263                       1.1302068  5.444179
## X241                         2.724975                       0.9676836  7.245150
## X242                         2.654255                       0.9300710  6.413012
## X243                         2.665966                       1.0495119  6.262563
## X244                         2.783386                       0.9492763  8.211578
## X245                         2.692623                       0.7941114  5.617858
## X246                         2.883623                       1.2358607  4.885442
## X247                         2.792403                       0.6762264  5.444179
## X249                         2.665023                       1.0186444  7.500000
## X250                         2.870614                       0.9100066  6.108135
## X251                         2.737602                       0.7671379  6.559746
## X253                         3.008576                       1.0186444  7.113891
## X254                         3.011822                       1.1421966  7.500000
## X255                         2.769220                       1.0023201  8.961066
## X256                         2.393337                       0.6762264  7.373808
## X257                         2.584357                       1.0186444  6.702998
## X258                         2.906102                       0.7941114  7.500000
## X260                         2.822737                       0.8196703  7.500000
## X261                         2.695741                       1.0918780  8.649098
## X262                         2.530419                       0.7941114  6.108135
## X263                         2.807684                       0.8196703 10.444102
## X264                         2.763185                       0.9300710  5.264609
## X265                         2.611519                       0.8439372  5.949436
## X267                         3.009810                       0.9853483  8.097921
## X268                         2.906780                       0.8670202  7.500000
## X269                         2.524026                       1.0641271  5.078583
## X270                         2.735284                       0.5237995  8.097921
## X271                         2.910232                       0.8670202  8.157135
## X272                         2.735284                       0.9300710  6.413012
## X273                         2.842468                       0.8439372  6.702998
## X274                         2.785402                       0.9100066  8.433621
## X275                         2.825933                       1.1538270  6.262563
## X277                         2.943646                       1.0343625  7.500000
## X278                         2.937016                       1.1421966  4.474569
## X279                         2.788951                       0.9853483  7.245150
## X281                         2.875131                       0.8890150 10.185606
## X282                         2.900935                       0.9676836  3.067147
## X283                         2.953166                       0.6762264  6.559746
## X287                         2.666903                       0.7671379  7.373808
## X289                         2.786596                       1.2265482  4.254800
## X290                         2.701785                       0.7671379  5.786135
## X291                         2.839193                       1.0343625  7.982407
## X292                         2.848747                       1.1538270  7.113891
## X294                         2.627850                       1.3026978  4.254800
## X297                         2.751261                       0.9676836  6.413012
## X298                         2.657266                       0.9853483  5.444179
## X299                         2.788951                       0.9853483  8.542148
## X301                         2.620513                       0.7083677  7.864950
## X302                         2.584357                       1.2537933  3.678009
## X303                         2.760303                       0.9853483  6.413012
## X304                         2.700297                       0.8670202  9.643429
## X305                         2.905965                       0.7941114  8.858503
## X306                         2.732330                       1.1421966  5.949436
## X307                         2.945455                       1.2071782  5.617858
## X308                         2.781750                       1.2071782  6.262563
## X311                         2.854245                       0.9300710  8.211578
## X312                         2.810980                       0.7671379 10.185606
## X313                         2.800812                       0.9100066  7.864950
## X314                         2.568127                       0.7941114  7.623847
## X315                         2.846133                       1.1651160  4.474569
## X316                         2.603403                       0.6762264  7.500000
## X317                         2.766469                       0.8439372  5.078583
## X320                         2.666903                       0.9853483  7.500000
## X321                         2.738746                       1.0186444  4.474569
## X322                         2.863047                       0.9300710  9.549474
## X323                         2.913692                       0.8439372  5.444179
## X324                         2.847566                       1.1421966  5.786135
## X325                         3.006900                       0.7941114  5.444179
## X326                         2.864685                       0.6419718  5.444179
## X327                         2.897137                       1.0186444  7.113891
## X329                         2.749166                       0.7941114  8.323453
## X330                         2.713850                       1.0186444  5.949436
## X331                         2.678590                       0.8670202  5.786135
## X332                         2.748106                       0.9676836  5.786135
## X333                         2.862841                       0.5660797  6.108135
##          HCC_4 Hepatocyte_Growth_Factor_HGF    I_309      ICAM_1 IGF_BP_2
## X1   -3.036554                   0.58778666 3.433987 -0.19077873 5.609472
## X2   -4.074542                   0.53062825 3.135494 -0.46201723 5.347108
## X3   -3.649659                   0.09531018 2.397895 -0.46201723 5.181784
## X5   -3.146555                   0.53062825 3.761200  0.09715030 5.420535
## X6   -3.079114                   0.09531018 2.708050 -0.93510686 5.056246
## X7   -3.506558                   0.40546511 2.995732 -0.63604036 5.438079
## X8   -3.079114                   0.18232156 2.890372 -1.29887557 5.365976
## X9   -4.135167                  -0.16251893 3.295837 -1.06412706 5.273000
## X11  -3.540459                   0.40546511 3.091042 -0.56067607 5.505332
## X12  -2.918771                   0.09531018 3.258097 -0.73298708 5.081404
## X14  -3.816713                   0.53062825 2.944439 -0.17955518 5.209486
## X16  -3.575551                   0.18232156 3.332205 -1.06412706 5.375278
## X17  -3.816713                   0.18232156 2.639057 -0.66750355 5.455321
## X18  -4.135167                  -0.24846136 2.708050 -0.93510686 5.087596
## X19  -3.057608                  -0.19845094 2.944439 -0.93510686 5.379897
## X20  -3.772261                   0.09531018 2.708050 -0.17955518 5.513429
## X21  -3.437118                   0.09531018 2.944439 -1.11122739 5.361292
## X22  -3.863233                   0.74193734 3.465736 -0.48946700 5.141664
## X23  -3.816713                  -0.07257069 2.484907 -1.16085462 4.955827
## X24  -3.411248                   0.69314718 2.708050 -0.38282097 5.472271
## X25  -3.611918                   0.09531018 2.890372 -0.56067607 5.187386
## X26  -3.473768                   0.33647224 3.258097 -0.66750355 5.257495
## X28  -3.688879                   0.33647224 2.197225 -0.80232932 5.438079
## X29  -3.816713                  -0.10536052 2.302585 -0.85726607 4.997212
## X30  -4.074542                  -0.24846136 2.639057 -0.63604036 5.147494
## X31  -3.194183                   0.09531018 3.044522 -0.25991011 5.513429
## X34  -3.381395                   0.33647224 3.583519 -1.16085462 5.273000
## X35  -3.218876                  -0.19845094 3.091042 -0.48946700 4.836282
## X36  -3.688879                   0.18232156 2.944439 -0.30783617 5.598422
## X37  -3.411248                   0.47000363 3.135494 -0.66750355 5.351858
## X38  -3.611918                   0.18232156 2.639057 -0.60535429 5.141664
## X39  -4.017384                   0.64185389 2.833213 -0.91510681 5.252273
## X40  -4.017384                   0.09531018 3.178054 -0.59028711 5.407172
## X41  -3.270169                   0.00000000 2.708050 -0.39571116 5.327876
## X42  -3.863233                   0.09531018 2.890372 -0.73298708 5.420535
## X43  -3.352407                   0.18232156 3.258097 -0.69979867 5.198497
## X44  -3.649659                   0.26236426 2.708050  0.00000000 5.420535
## X45  -3.170086                   0.33647224 3.555348 -0.23651381 5.645447
## X46  -3.575551                   0.47000363 3.135494 -0.59028711 5.267858
## X47  -3.506558                  -0.31471074 2.995732 -0.87620360 5.351858
## X48  -3.381395                   0.64185389 3.761200 -0.42185317 5.700444
## X50  -3.863233                   0.26236426 3.332205 -0.48946700 5.262690
## X51  -3.963316                  -0.01005034 3.044522 -1.04142304 5.398163
## X53  -3.649659                   0.47000363 2.995732 -0.35738780 5.278115
## X55  -3.863233                   0.33647224 2.564949 -0.25991011 5.030438
## X56  -3.816713                  -0.17435339 2.944439 -0.48946700 5.262690
## X57  -3.123566                   0.40546511 3.295837 -0.48946700 5.641907
## X59  -3.611918                   0.18232156 2.944439 -0.39571116 5.616771
## X60  -3.575551                  -0.17435339 3.218876 -0.63604036 5.438079
## X61  -4.074542                  -0.07257069 2.708050 -0.76713789 5.192957
## X62  -3.772261                  -0.32850407 2.484907 -0.76713789 5.123964
## X63  -3.442019                   0.09531018 3.091042 -0.60535429 5.283204
## X64  -3.146555                   0.26236426 3.178054 -0.30783617 5.370638
## X65  -4.135167                   0.18232156 2.833213 -0.73298708 5.164786
## X67  -3.688879                   0.58778666 3.465736 -0.48946700 5.356586
## X68  -3.218876                   0.33647224 2.944439 -0.39571116 5.429346
## X69  -3.863233                  -0.43078292 2.564949 -0.93510686 5.141664
## X70  -4.074542                   0.18232156 3.465736 -0.56067607 5.594711
## X71  -3.296837                   0.09531018 3.258097 -0.10317121 5.068904
## X72  -3.270169                   0.87546874 3.332205 -0.16503132 5.780744
## X73  -3.352407                   0.47000363 3.433987  0.00000000 5.509388
## X74  -3.442019                  -0.19845094 2.639057 -0.69979867 5.241747
## X75  -3.729701                   0.40546511 3.663562 -0.91510681 5.337538
## X76  -3.352407                   0.69314718 3.433987 -0.30783617 5.549076
## X77  -3.270169                   0.58778666 2.944439 -0.48946700 5.129899
## X78  -2.733368                   0.64185389 3.465736 -0.16841247 5.624018
## X80  -3.473768                   0.09531018 3.044522 -0.53172814 5.204007
## X81  -3.729701                  -0.02020271 3.258097 -0.73298708 5.111988
## X82  -3.863233                   0.33647224 2.708050 -1.11122739 5.521461
## X83  -3.146555                   0.26236426 2.564949 -0.78459824 4.905275
## X84  -3.540459                   0.26236426 2.772589 -0.73298708 5.043425
## X85  -3.296837                   0.47000363 3.044522 -0.39571116 5.370638
## X86  -2.207275                   0.47000363 2.995732 -0.15734908 5.590987
## X88  -3.146555                   0.40546511 3.367296 -0.25991011 5.501258
## X90  -2.995732                  -0.63487827 1.757858 -1.16085462 4.634729
## X93  -3.270169                   0.09531018 2.944439 -0.48946700 5.497168
## X94  -3.123566                   0.64185389 4.143135  0.09715030 5.948035
## X95  -3.912023                   0.26236426 2.890372 -0.57539617 5.327876
## X96  -3.270169                   0.47000363 3.178054 -1.32948627 5.509388
## X97  -3.575551                   0.33647224 2.708050 -0.47567232 5.356586
## X98  -4.074542                  -0.37106368 2.484907 -1.04142304 5.075174
## X99  -3.816713                   0.47000363 3.258097 -0.17955518 5.370638
## X100 -3.729701                   0.26236426 3.258097 -0.48946700 5.187386
## X103 -3.649659                   0.64185389 3.784190 -0.07152751 5.641907
## X104 -4.509860                   0.09531018 2.772589 -0.71627709 5.159055
## X105 -4.074542                   0.47000363 2.995732 -0.59028711 5.231109
## X107 -3.772261                   0.26236426 3.044522 -0.42185317 5.214936
## X108 -3.123566                   0.18232156 2.890372 -0.06111597 5.579730
## X109 -3.912023                  -0.04082199 2.292535 -0.91510681 5.003946
## X110 -4.017384                  -0.16251893 2.890372 -0.76713789 5.062595
## X111 -3.649659                   0.18232156 2.890372 -0.23651381 5.347108
## X112 -2.813411                   0.53062825 3.433987 -0.19077873 5.609472
## X113 -3.079114                   0.47000363 3.091042 -0.16841247 5.398163
## X114 -3.381395                  -0.32850407 2.397895 -0.66750355 5.081404
## X115 -3.381395                   0.09531018 3.465736 -1.36134745 5.420535
## X117 -4.135167                   0.40546511 3.401197 -0.57539617 5.293305
## X118 -3.352407                   0.64185389 3.610918 -0.43511112 5.616771
## X121 -3.575551                   0.40546511 3.332205 -0.12462010 5.420535
## X123 -3.611918                  -0.44628710 2.833213 -0.93510686 5.407172
## X124 -2.995732                  -0.04082199 2.890372 -0.17955518 5.402677
## X126 -4.017384                   0.00000000 2.944439 -0.60535429 5.135798
## X128 -3.324236                   0.53062825 3.178054 -0.39571116 5.303305
## X129 -3.575551                  -0.18632958 2.708050 -0.87620360 5.257495
## X130 -3.352407                   0.26236426 2.995732 -0.66750355 5.433722
## X131 -3.688879                   0.09531018 2.564949 -0.65167154 4.969813
## X132 -3.575551                   0.09531018 2.639057 -0.76713789 5.375278
## X133 -3.170086                   0.26236426 2.484907 -0.80232932 5.620401
## X134 -3.015935                   0.87546874 3.332205 -0.34483937 5.521461
## X135 -3.649659                   0.00000000 3.258097 -0.25991011 5.455321
## X136 -4.135167                  -0.15082289 2.564949 -0.48946700 5.451038
## X137 -3.057608                  -0.18632958 2.397895 -0.91510681 5.159055
## X139 -3.473768                   0.09531018 2.639057 -1.11122739 5.153292
## X140 -3.863233                   0.26236426 2.833213 -0.47567232 5.433722
## X141 -3.244194                   0.33647224 3.044522 -0.30783617 5.293305
## X143 -3.462900                  -0.11653382 2.944439 -0.93510686 5.313206
## X144 -3.442019                  -0.21072103 2.708050 -0.30783617 5.356586
## X145 -3.963316                   0.09531018 2.639057 -0.85726607 5.164786
## X146 -3.057608                   0.40546511 2.564949 -0.05077067 5.645447
## X147 -4.017384                   0.33647224 3.465736 -0.38282097 5.342334
## X148 -2.748872                   0.33647224 3.135494 -0.11385950 5.468060
## X149 -3.772261                   0.18232156 2.833213 -0.46201723 5.081404
## X152 -3.473768                   0.78845736 3.761200 -0.16841247 5.758902
## X153 -2.120264                   0.47000363 3.295837 -1.21340622 5.609472
## X154 -3.611918                   0.33647224 1.808289 -0.73298708 5.181784
## X155 -3.772261                   0.09531018 2.890372 -0.63604036 5.062595
## X156 -3.411248                   0.64185389 3.258097 -0.14636351 5.332719
## X157 -3.611918                   0.18232156 2.995732 -0.53172814 5.613128
## X158 -3.912023                   0.18232156 2.833213 -0.59028711 5.198497
## X159 -3.442019                   0.09531018 2.995732 -0.87620360 5.093750
## X160 -3.575551                   0.53062825 3.091042 -0.25991011 5.389072
## X161 -3.473768                   0.18232156 3.433987 -0.39571116 5.135798
## X162 -3.611918                   0.64185389 2.944439 -0.59028711 5.342334
## X163 -3.649659                   0.26236426 2.564949 -1.16085462 5.030438
## X165 -3.506558                   0.18232156 3.218876 -0.73298708 5.455321
## X166 -3.912023                   0.09531018 2.995732 -0.87620360 5.379897
## X167 -3.963316                   0.58778666 2.944439 -0.17955518 5.342334
## X168 -3.575551                   0.33647224 2.639057 -0.73298708 5.209486
## X169 -3.218876                   0.09531018 2.772589 -0.66750355 5.153292
## X170 -3.270169                   0.09531018 2.995732 -0.66750355 5.187386
## X171 -3.296837                   0.09531018 3.258097 -0.15734908 5.117994
## X172 -3.772261                   0.09531018 2.890372 -0.93510686 5.075174
## X174 -3.575551                  -0.01005034 2.890372 -0.48946700 5.298317
## X175 -2.975930                   0.40546511 3.178054 -0.16841247 5.476464
## X176 -3.079114                  -0.06187540 2.944439 -0.39571116 5.056246
## X177 -3.540459                   0.09531018 2.890372 -0.59028711 5.468060
## X178 -4.509860                  -0.21072103 3.178054 -0.87620360 4.983607
## X179 -2.551046                   0.26236426 3.332205 -0.30783617 5.517453
## X180 -3.649659                   0.40546511 3.126272  0.18913439 5.655992
## X181 -3.506558                  -0.19845094 2.484907 -0.85726607 5.093750
## X182 -3.611918                   0.18232156 3.218876 -0.85726607 5.424950
## X183 -3.575551                  -0.38566248 2.564949 -0.34483937 5.365976
## X184 -3.244194                   0.33647224 3.401197 -0.47567232 5.648974
## X185 -3.270169                   0.47000363 3.044522 -0.48946700 5.204007
## X186 -3.324236                  -0.07257069 2.014903 -0.93510686 5.198497
## X189 -3.688879                   0.18232156 2.944439 -0.66750355 5.164786
## X190 -3.575551                   0.09531018 2.944439 -0.48946700 5.323010
## X191 -3.506558                   0.26236426 2.639057 -0.71627709 4.983607
## X192 -3.381395                   0.64185389 2.995732 -0.17955518 5.327876
## X193 -3.611918                   0.40546511 3.178054 -0.60535429 5.645447
## X194 -3.270169                  -0.05129329 2.564949 -0.59028711 5.209486
## X195 -3.649659                   0.83290912 3.433987 -0.17955518 5.303305
## X197 -3.057608                   0.26236426 3.091042 -0.56067607 5.560682
## X198 -3.611918                  -0.02020271 2.397895 -0.71627709 5.159055
## X200 -3.912023                   0.09531018 2.564949 -1.04142304 5.323010
## X201 -3.218876                   0.00000000 3.178054 -0.71627709 5.247024
## X202 -3.912023                   0.00000000 2.564949 -1.13570251 5.105945
## X205 -3.324236                   0.40546511 3.332205 -0.35738780 5.488938
## X208 -3.611918                   0.40546511 2.484907 -0.59028711 5.192957
## X210 -3.352407                   0.26236426 3.295837 -0.38282097 5.613128
## X212 -4.074542                   0.09531018 2.564949 -0.54612169 5.187386
## X213 -3.057608                   0.18232156 3.178054 -0.43511112 5.407172
## X214 -3.772261                   0.53062825 3.044522 -0.30783617 5.293305
## X215 -3.649659                   0.00000000 3.258097 -0.93510686 5.288267
## X216 -3.816713                  -0.05129329 3.178054 -1.04142304 5.105945
## X218 -2.847312                   0.09531018 2.772589 -0.85726607 5.327876
## X219 -4.199705                  -0.11653382 2.772589 -0.87620360 5.327876
## X220 -4.017384                   0.09531018 3.044522 -0.97630091 5.030438
## X223 -3.575551                   0.09531018 3.258097 -0.57539617 5.303305
## X224 -3.688879                   0.18232156 2.995732 -0.63604036 5.147494
## X225 -3.863233                   0.40546511 3.433987 -0.22495053 5.472271
## X226 -3.611918                   0.74193734 3.259500 -0.32006598 5.620401
## X227 -2.864704                   0.00000000 3.044522 -0.06111597 5.293305
## X228 -4.074542                  -0.44628710 3.332205 -0.85726607 5.023881
## X229 -3.411248                  -0.12783337 2.197225 -0.66750355 5.192957
## X230 -2.882404                   0.09531018 3.218876 -0.51749076 5.342334
## X231 -3.442019                   0.09531018 2.833213 -0.66750355 5.187386
## X232 -3.101093                   0.09531018 2.302585 -0.59028711 5.389072
## X233 -3.352407                  -0.11653382 2.833213 -1.04142304 5.187386
## X234 -3.244194                  -0.15082289 2.890372 -0.80232932 5.407172
## X236 -3.688879                   0.26236426 2.772589 -0.56067607 5.081404
## X237 -3.442019                   0.33647224 2.995732 -0.39571116 5.192957
## X239 -4.199705                  -0.24846136 2.708050 -0.76713789 5.141664
## X240 -3.411248                   0.00000000 2.772589 -1.26939244 5.093750
## X241 -3.324236                   0.26236426 3.178054 -1.21340622 5.129899
## X242 -2.956512                  -0.13926207 2.772589 -0.54602499 5.288267
## X243 -3.381395                   0.00000000 2.564949 -1.06412706 5.252273
## X244 -3.101093                   0.26236426 2.944439 -0.48946700 5.365976
## X245 -2.956512                  -0.23572233 2.140066 -1.53320769 4.663439
## X246 -2.937463                   0.18232156 2.833213 -0.42185317 5.583496
## X247 -3.411248                  -0.08338161 2.708050 -1.29887557 5.093750
## X249 -3.688879                   0.87546874 3.555348 -0.51749076 5.609472
## X250 -3.146555                   0.26236426 2.833213 -1.16085462 5.303305
## X251 -3.816713                   0.00000000 2.995732 -0.60535429 5.257495
## X253 -3.270169                   0.00000000 3.044522 -0.03027441 5.342334
## X254 -3.218876                   0.40546511 3.806662  0.51708817 5.598422
## X255 -3.506558                   0.40546511 3.295837 -0.09255394 5.472271
## X256 -3.688879                   0.09531018 2.639057 -0.87620360 5.176150
## X257 -3.575551                  -0.17435339 2.833213 -0.73298708 5.093750
## X258 -2.937463                   0.64185389 3.496508 -0.04049051 5.351858
## X260 -3.101093                   0.33647224 3.295837 -0.71627709 5.273000
## X261 -3.411248                  -0.26136476 3.044522 -1.06412706 4.682131
## X262 -4.017384                  -0.03045921 2.484907 -1.04142304 4.976734
## X263 -3.506558                   0.33647224 2.564949 -0.48946700 5.407172
## X264 -2.813411                   0.40546511 3.433987 -0.09255394 5.327876
## X265 -3.540459                   0.18232156 2.772589 -0.93510686 5.252273
## X267 -3.411248                   0.47000363 2.995732 -0.47567232 5.624018
## X268 -3.079114                   0.18232156 2.944439 -0.39571116 5.283204
## X269 -3.863233                  -0.12783337 2.564949 -0.85726607 5.262690
## X270 -3.649659                   0.09531018 3.526361 -0.39571116 5.220356
## X271 -2.918771                   0.53062825 3.295837 -0.17955518 5.438079
## X272 -3.729701                   0.26236426 2.708050 -0.59028711 5.192957
## X273 -3.057608                   0.33647224 2.708050 -0.48946700 5.594711
## X274 -3.540459                   0.09531018 2.944439 -0.71627709 5.159055
## X275 -3.506558                   0.09531018 3.044522 -0.93510686 5.342334
## X277 -3.688879                   0.33647224 2.890372 -0.30783617 5.075174
## X278 -3.506558                  -0.11653382 2.995732 -0.19077873 5.579730
## X279 -3.540459                   0.09531018 2.772589 -0.93510686 5.087596
## X281 -3.036554                   0.53062825 3.135494 -0.80232932 5.517453
## X282 -3.352935                   0.26236426 2.397895 -0.25991011 5.288267
## X283 -3.194183                   0.64185389 3.332205 -0.39571116 5.777652
## X287 -3.729701                   0.58778666 3.044522 -1.18673610 5.135798
## X289 -3.863233                  -0.31471074 2.484907 -0.85726607 5.087596
## X290 -4.017384                   0.09531018 3.044522 -0.91510681 5.327876
## X291 -3.244194                   0.58778666 3.332205 -0.38282097 5.365976
## X292 -3.381395                   0.64185389 3.044522 -0.34483937 5.525453
## X294 -3.688879                  -0.41551544 2.833213 -1.26939244 5.442418
## X297 -3.442019                   0.00000000 2.995732 -0.60535429 5.323010
## X298 -3.411248                  -0.24846136 2.041220 -0.65167154 5.521461
## X299 -3.575551                   0.18232156 2.995732 -0.43511112 5.662960
## X301 -3.442019                  -0.23572233 2.708050 -1.06412706 5.257495
## X302 -3.649659                  -0.31471074 2.708050 -1.13570251 4.962845
## X303 -3.540459                   0.47000363 2.772589 -0.93510686 5.384495
## X304 -3.912023                   0.78845736 3.784190 -0.30783617 5.587249
## X305 -3.688879                   0.47000363 2.484907 -0.59028711 5.693732
## X306 -3.194183                   0.47000363 3.555348 -0.25991011 5.480639
## X307 -2.975930                   0.33647224 3.135494  0.27662577 5.541264
## X308 -3.079114                   0.09531018 2.833213 -0.53172814 5.181784
## X311 -3.688879                  -0.26136476 3.091042 -0.48946700 5.225747
## X312 -3.270169                   0.26236426 3.135494 -0.73298708 5.214936
## X313 -3.611918                   0.26236426 2.564949 -0.71627709 5.638355
## X314 -3.816713                   0.26236426 2.564949 -1.04142304 5.236442
## X315 -3.411248                  -0.04082199 2.944439 -0.53172814 5.262690
## X316 -4.074542                   0.47000363 3.044522 -0.46201723 5.332719
## X317 -4.074542                   0.33647224 3.218876 -0.59028711 5.505332
## X320 -3.057608                   0.18232156 2.397895 -0.17955518 5.323010
## X321 -3.729701                  -0.37106368 2.772589 -0.46201723 4.976734
## X322 -3.057608                   0.47000363 2.708050 -0.48946700 5.402677
## X323 -3.079114                   0.40546511 3.332205 -0.43511112 5.424950
## X324 -3.688879                   0.18232156 2.639057 -0.76713789 5.135798
## X325 -3.146555                   0.33647224 2.186051 -0.59028711 5.472271
## X326 -3.473768                   0.18232156 2.995732 -0.48946700 5.389072
## X327 -3.324236                   0.09531018 3.091042 -0.66750355 5.609472
## X329 -3.912023                   0.40546511 3.044522 -0.73298708 5.278115
## X330 -3.244194                   0.09531018 2.944439 -0.38282097 5.209486
## X331 -3.101093                   0.00000000 2.240710 -0.85726607 5.087596
## X332 -3.296837                  -0.01005034 2.028148 -0.59028711 5.411646
## X333 -3.649659                   0.64185389 3.295837 -0.32006598 5.552960
##         IL_11    IL_13    IL_16   IL_17E IL_1alpha      IL_3      IL_4
## X1   5.121987 1.282549 4.192081 5.731246 -6.571283 -3.244194 2.4849066
## X2   4.936704 1.269463 2.876338 6.705891 -8.047190 -3.912023 2.3978953
## X3   4.665910 1.274133 2.616102 4.149327 -8.180721 -4.645992 1.8245493
## X5   7.070709 1.309980 4.736472 4.204987 -6.943657 -2.995732 2.7080502
## X6   6.103215 1.282549 2.671032 3.637051 -8.180721 -3.863233 1.2089603
## X7   2.031412 1.286356 3.476091 6.705891 -6.907755 -3.296837 1.8718022
## X8   5.180840 1.293295 3.593860 4.037285 -7.418581 -2.956512 2.3978953
## X9   2.860031 1.282549 2.420557 5.170380 -7.469874 -4.422849 1.8082888
## X11  6.919778 1.274133 2.154845 4.749337 -7.849364 -4.509860 1.5686159
## X12  3.218759 1.286356 3.593860 3.867347 -8.047190 -3.575551 1.9169226
## X14  4.665910 1.269463 2.924466 5.427755 -7.264430 -4.074542 1.5260563
## X16  4.360856 1.278484 2.776394 5.170380 -7.662778 -4.017384 1.5475625
## X17  5.121987 1.286356 2.671032 5.325310 -7.047017 -3.912023 1.2237754
## X18  3.076971 1.274133 2.270306 4.749337 -7.182192 -4.933674 1.0296194
## X19  5.180840 1.293295 2.924466 7.174674 -7.542634 -3.912023 2.3978953
## X20  2.178537 1.274133 2.741908 4.149327 -7.264430 -3.816713 1.8245493
## X21  6.414275 1.274133 2.292540 5.580204 -7.236259 -5.035953 1.8082888
## X22  4.805045 1.293295 3.351388 8.081107 -7.542634 -3.772261 1.2089603
## X23  4.518270 1.282549 2.461332 5.427755 -7.264430 -4.919881 1.0296194
## X24  4.360856 1.289931 3.476091 5.325310 -6.980326 -3.442019 2.3978953
## X25  4.936704 1.274133 1.662234 3.040333 -7.706263 -4.074542 1.5686159
## X26  4.360856 1.282549 2.420557 4.204987 -7.523941 -4.509860 1.8082888
## X28  3.593860 1.269463 3.076971 4.749337 -7.278819 -3.816713 1.2237754
## X29  5.752800 1.302302 2.924466 5.325310 -7.487574 -4.605170 3.0445224
## X30  3.593860 1.282549 2.520871 4.749337 -7.469874 -3.411248 1.9740810
## X31  5.121987 1.278484 3.705506 5.731246 -7.143478 -3.324236 2.5649494
## X34  2.031412 1.274133 2.081821 5.170380 -7.264430 -4.422849 2.0149030
## X35  3.476091 1.282549 2.420557 5.170380 -7.849364 -4.509860 1.6863990
## X36  2.031412 1.299465 3.705506 3.040333 -7.106206 -3.057608 2.1860513
## X37  5.238363 1.278484 2.671032 4.204987 -7.581100 -3.912023 1.8082888
## X38  4.360856 1.286356 2.578583 3.578777 -7.250246 -3.729701 1.5475625
## X39  7.011244 1.293295 3.913012 4.802628 -7.435388 -3.244194 1.8245493
## X40  5.705637 1.264435 2.292540 6.705891 -7.264430 -3.912023 1.2089603
## X41  3.351388 1.286356 3.811702 3.578777 -7.600902 -3.688879 1.5475625
## X42  6.061784 1.269463 2.578583 4.149327 -7.264430 -4.779524 0.5877867
## X43  3.913012 1.274133 2.597435 5.731246 -7.706263 -4.342806 1.2089603
## X44  5.558929 1.278484 3.476091 6.705891 -7.264430 -4.509860 1.5260563
## X45  3.913012 1.286356 3.593860 4.749337 -7.469874 -3.772261 2.1747517
## X46  4.518270 1.278484 3.705506 4.802628 -8.294050 -4.135167 1.0296194
## X47  4.102821 1.264435 1.898648 5.630705 -7.264430 -4.509860 1.1939225
## X48  6.019723 1.286356 4.009916 5.731246 -6.907755 -3.218876 1.6094379
## X50  7.730538 1.289931 3.476091 6.705891 -7.849364 -4.422849 1.8082888
## X51  5.349675 1.289931 2.292540 5.731246 -7.264430 -4.017384 1.2089603
## X53  5.799150 1.289931 3.476091 5.427755 -8.047190 -3.688879 1.5260563
## X55  5.558929 1.274133 2.876338 4.802628 -7.264430 -4.268698 1.0296194
## X56  2.031412 1.289931 2.270306 6.225224 -7.402052 -3.816713 1.8082888
## X57  8.004073 1.304993 3.913012 7.174674 -7.323271 -3.772261 1.8245493
## X59  2.031412 1.293295 2.827004 4.149327 -8.047190 -4.268698 1.1939225
## X60  3.913012 1.278484 2.876338 5.325310 -7.706263 -4.017384 1.4586150
## X61  6.414275 1.269463 2.441056 4.204987 -7.706263 -4.017384 1.0296194
## X62  2.843587 1.259002 1.386542 6.225224 -7.641724 -4.268698 1.4586150
## X63  3.218759 1.269463 2.776394 4.149327 -8.047190 -4.268698 1.5475625
## X64  2.860031 1.286356 3.705506 5.630705 -7.662778 -3.863233 2.0149030
## X65  4.518270 1.269463 2.741908 4.802628 -8.294050 -4.074542 2.0412203
## X67  3.705506 1.269463 2.081821 2.407182 -7.264430 -4.815891 1.5475625
## X68  5.608737 1.278484 3.593860 6.705891 -7.542634 -3.912023 1.4816045
## X69  5.238363 1.286356 1.186565 4.204987 -7.469874 -4.635629 1.6094379
## X70  3.705506 1.282549 2.671032 5.325310 -7.706263 -3.772261 1.5686159
## X71  4.278004 1.278484 2.616102 4.802628 -8.294050 -4.199705 1.0296194
## X72  5.180840 1.304993 4.593226 3.461346 -6.907755 -2.718101 2.6390573
## X73  4.102821 1.274133 3.476091 5.118391 -8.047190 -4.017384 1.0296194
## X74  3.913012 1.259002 2.081821 6.225224 -7.706263 -4.635629 1.2089603
## X75  3.913012 1.286356 3.913012 1.052263 -7.849364 -3.649659 2.3978953
## X76  2.688997 1.282549 3.218759 5.170380 -7.662778 -4.017384 1.1939225
## X77  6.223931 1.293295 2.860031 6.225224 -7.684284 -4.074542 1.8245493
## X78  3.593860 1.282549 3.811702 5.325310 -7.706263 -3.506558 2.0149030
## X80  5.558929 1.289931 2.924466 6.705891 -7.182192 -3.611918 1.7404662
## X81  4.736472 1.278484 3.218759 4.370576 -7.662778 -3.772261 2.3025851
## X82  5.456396 1.282549 2.420557 4.204987 -7.581100 -4.017384 1.5686159
## X83  6.760790 1.293295 3.476091 8.951879 -7.418581 -3.473768 1.6677068
## X84  2.501234 1.278484 2.081821 6.225224 -7.662778 -4.733004 1.8082888
## X85  3.476091 1.286356 3.705506 6.225224 -7.024289 -3.442019 2.4849066
## X86  4.805045 1.293295 3.913012 3.867347 -6.725434 -2.796881 2.7725887
## X88  5.403583 1.293295 3.218759 5.325310 -7.523941 -4.268698 1.0296194
## X90  4.360856 1.282549 1.813803 5.325310 -8.111728 -5.914504 1.2089603
## X93  5.000000 1.307549 3.351388 7.174674 -7.684284 -4.135167 2.0668628
## X94  3.705506 1.286356 4.360856 5.630705 -6.812445 -3.506558 2.1860513
## X95  5.799150 1.293295 3.076971 4.749337 -7.264430 -3.575551 1.9740810
## X96  6.857203 1.274133 2.876338 4.749337 -7.706263 -4.074542 1.5686159
## X97  5.799150 1.274133 2.671032 4.204987 -8.078938 -4.767689 1.5686159
## X98  5.121987 1.274133 2.178537 5.325310 -7.706263 -4.135167 1.4586150
## X99  3.913012 1.289931 4.102821 4.479850 -7.849364 -3.506558 2.4849066
## X100 5.121987 1.264435 2.924466 5.170380 -7.849364 -4.342806 1.5475625
## X103 4.102821 1.282549 3.476091 6.225224 -7.849364 -3.057608 1.8245493
## X104 5.000000 1.309980 2.860031 6.705891 -7.542634 -3.816713 2.3978953
## X105 5.000000 1.289931 3.351388 4.802628 -7.849364 -3.863233 2.0412203
## X107 4.278004 1.286356 3.076971 6.705891 -7.264430 -3.473768 1.9740810
## X108 2.031412 1.286356 4.009916 4.749337 -6.927958 -3.411248 2.7080502
## X109 5.180840 1.264435 2.106497 6.225224 -7.264430 -4.815891 1.0296194
## X110 4.593226 1.274133 2.081821 4.204987 -7.354042 -4.509860 1.9740810
## X111 5.000000 1.299465 3.476091 5.630705 -7.542634 -3.575551 2.0668628
## X112 4.102821 1.302302 4.440875 4.749337 -6.725434 -2.918771 2.9444390
## X113 4.593226 1.286356 3.351388 3.924249 -7.118476 -3.506558 2.3025851
## X114 5.000000 1.274133 2.292540 2.728930 -7.849364 -4.422849 1.2089603
## X115 1.754800 1.278484 2.924466 4.149327 -7.264430 -3.963316 0.5877867
## X117 4.440875 1.278484 3.476091 5.731246 -7.058578 -3.649659 1.7404662
## X118 7.157766 1.286356 3.476091 5.325310 -7.369791 -3.649659 2.0149030
## X121 2.031412 1.274133 3.076971 2.407182 -7.751725 -4.017384 1.8082888
## X123 5.799150 1.274133 1.564217 4.749337 -7.849364 -4.815891 1.4586150
## X124 6.557896 1.286356 3.076971 7.174674 -7.542634 -3.816713 1.8245493
## X126 3.218759 1.282549 2.924466 6.225224 -7.662778 -4.509860 1.1939225
## X128 6.103215 1.282549 3.218759 4.149327 -7.662778 -4.074542 1.1939225
## X129 2.860031 1.278484 1.898648 4.149327 -7.264430 -4.422849 0.5877867
## X130 5.558929 1.286356 3.218759 4.749337 -7.581100 -4.342806 1.2237754
## X131 4.665910 1.282549 3.351388 2.005028 -8.294050 -3.729701 2.3978953
## X132 3.476091 1.282549 3.218759 5.325310 -7.469874 -4.074542 1.7404662
## X133 4.936704 1.289931 2.420557 2.407182 -7.278819 -3.729701 1.8082888
## X134 5.180840 1.289931 3.705506 4.749337 -6.437752 -4.135167 2.0918641
## X135 2.031412 1.286356 2.876338 6.225224 -7.581100 -3.611918 1.4586150
## X136 5.508162 1.293295 2.908553 4.695848 -7.418581 -4.199705 1.2089603
## X137 5.705637 1.269463 1.898648 5.427755 -7.264430 -4.074542 2.1400662
## X139 7.157766 1.264435 2.154845 4.749337 -8.180721 -4.767689 0.5306283
## X140 5.558929 1.269463 2.540305 4.204987 -7.581100 -3.963316 1.8082888
## X141 3.913012 1.269463 2.876338 4.749337 -7.706263 -4.422849 1.8082888
## X143 3.076971 1.282549 2.924466 3.578777 -7.264430 -3.324236 2.2407097
## X144 5.238363 1.274133 1.459970 2.407182 -5.952244 -4.268698 1.4109870
## X145 3.913012 1.286356 2.741908 4.749337 -7.354042 -3.816713 1.4586150
## X146 2.314505 1.286356 2.924466 3.924249 -7.195437 -3.324236 1.8082888
## X147 4.360856 1.278484 2.876338 4.204987 -7.775256 -4.074542 1.2237754
## X148 4.805045 1.320562 4.192081 4.037285 -6.725434 -2.918771 2.2617631
## X149 5.799150 1.282549 2.876338 2.791992 -7.849364 -3.575551 1.8245493
## X152 4.871752 1.293295 4.102821 3.637051 -6.725434 -2.882404 2.8903718
## X153 2.843587 1.282549 3.351388 2.407182 -7.523941 -3.506558 2.1747517
## X154 5.752800 1.274133 2.741908 4.149327 -7.264430 -4.135167 1.8245493
## X155 5.180840 1.274133 2.597435 6.225224 -7.469874 -4.017384 1.0296194
## X156 3.476091 1.278484 3.913012 5.427755 -7.156217 -3.442019 2.2192035
## X157 2.314505 1.289931 3.076971 5.325310 -7.264430 -3.540459 1.7404662
## X158 5.238363 1.269463 2.741908 3.461346 -7.264430 -4.074542 1.0296194
## X159 3.913012 1.289931 2.270306 6.225224 -7.751725 -4.342806 1.8082888
## X160 6.144037 1.286356 3.593860 7.174674 -7.561682 -3.079114 2.9957323
## X161 3.705506 1.286356 2.706796 4.149327 -7.849364 -3.912023 1.8082888
## X162 8.490785 1.293295 3.076971 6.225224 -7.824046 -4.342806 1.8245493
## X163 7.801137 1.296467 1.423676 7.174674 -8.016418 -4.509860 2.0668628
## X165 5.121987 1.274133 2.292540 3.637051 -7.849364 -4.422849 0.9555114
## X166 3.705506 1.282549 2.081821 3.578777 -7.849364 -4.074542 0.5877867
## X167 5.061733 1.296467 3.476091 5.731246 -7.264430 -3.442019 2.6390573
## X168 3.705506 1.282549 3.593860 2.791992 -7.957577 -3.381395 2.8332133
## X169 6.522658 1.282549 2.540305 5.325310 -7.641724 -3.772261 2.3025851
## X170 4.360856 1.278484 2.292540 4.204987 -7.849364 -4.342806 1.8082888
## X171 5.799150 1.282549 3.351388 5.170380 -7.523941 -4.199705 2.0149030
## X172 5.121987 1.274133 2.597435 3.578777 -7.264430 -3.863233 2.2407097
## X174 3.476091 1.302302 2.706796 5.376615 -7.662778 -3.729701 1.5475625
## X175 6.450860 1.282549 3.218759 3.637051 -7.706263 -3.816713 1.2237754
## X176 2.501234 1.293295 2.924466 6.705891 -7.106206 -4.135167 1.8082888
## X177 4.805045 1.312295 3.705506 5.731246 -7.047017 -3.352407 1.8245493
## X178 3.593860 1.264435 1.898648 4.642159 -8.334872 -4.656463 1.5475625
## X179 2.843587 1.299465 3.476091 3.924249 -7.118476 -3.244194 2.3025851
## X180 4.665910 1.286356 2.420557 2.728930 -7.581100 -3.324236 1.8082888
## X181 5.000000 1.289931 2.652897 7.174674 -8.016418 -4.422849 2.0668628
## X182 3.593860 1.282549 3.218759 5.325310 -7.182192 -3.729701 1.7404662
## X183 2.031412 1.282549 3.218759 6.225224 -7.106206 -3.540459 1.7404662
## X184 4.593226 1.289931 3.476091 3.342694 -7.369791 -3.649659 2.5649494
## X185 2.688997 1.282549 2.706796 5.630705 -7.293418 -4.135167 2.0149030
## X186 3.913012 1.278484 2.357662 5.325310 -8.180721 -4.199705 0.5306283
## X189 5.558929 1.274133 2.154845 4.749337 -7.849364 -4.342806 2.1747517
## X190 5.657628 1.289931 2.908553 6.705891 -7.824046 -3.688879 1.8245493
## X191 5.180840 1.299465 2.924466 4.037285 -7.684284 -3.912023 1.2089603
## X192 4.360856 1.304993 2.924466 5.325310 -7.418581 -3.912023 2.0668628
## X193 2.031412 1.282549 3.218759 1.796259 -7.402052 -3.729701 1.1939225
## X194 7.378459 1.299465 3.076971 3.402176 -7.487574 -3.244194 2.3978953
## X195 4.665910 1.282549 4.192081 5.427755 -7.338538 -3.688879 2.0412203
## X197 5.558929 1.274133 3.218759 3.040333 -7.849364 -4.017384 1.5686159
## X198 6.103215 1.296467 2.597435 4.370576 -7.684284 -3.863233 2.3978953
## X200 6.888655 1.278484 3.076971 5.731246 -7.581100 -3.912023 1.7404662
## X201 6.103215 1.274133 2.292540 5.325310 -7.542634 -4.017384 1.2089603
## X202 6.857203 1.269463 2.081821 4.749337 -7.354042 -3.863233 1.6094379
## X205 6.144037 1.269463 2.616102 3.810182 -7.684284 -3.963316 1.8245493
## X208 4.593226 1.296467 2.924466 3.402176 -7.222466 -3.963316 2.5649494
## X210 6.694714 1.286356 2.420557 4.749337 -7.369791 -4.656463 2.0149030
## X212 2.031412 1.278484 2.578583 1.796259 -7.849364 -4.074542 1.5475625
## X213 5.121987 1.282549 2.671032 5.731246 -7.278819 -4.135167 1.4109870
## X214 4.102821 1.274133 3.351388 4.149327 -8.180721 -3.772261 2.0412203
## X215 5.558929 1.278484 2.597435 6.225224 -7.523941 -4.074542 1.7404662
## X216 5.752800 1.286356 2.520871 8.081107 -7.264430 -4.645992 1.4816045
## X218 5.799150 1.296467 3.218759 4.695848 -7.047017 -3.123566 2.2617631
## X219 5.799150 1.264435 1.386542 1.434661 -7.264430 -4.779524 1.5475625
## X220 3.705506 1.296467 2.578583 3.578777 -7.523941 -4.017384 1.5475625
## X223 4.736472 1.286356 3.218759 4.749337 -6.927958 -3.611918 1.9740810
## X224 2.031412 1.278484 3.076971 4.749337 -7.581100 -3.540459 1.9740810
## X225 4.936704 1.278484 3.076971 5.325310 -7.354042 -3.912023 2.3025851
## X226 4.102821 1.286356 2.924466 7.174674 -7.684284 -3.540459 1.4816045
## X227 3.076971 1.289931 3.351388 4.749337 -6.907755 -3.381395 2.3025851
## X228 3.593860 1.278484 2.876338 2.978813 -7.469874 -3.912023 1.2809338
## X229 6.019723 1.274133 2.292540 4.204987 -7.929407 -4.199705 1.8082888
## X230 3.913012 1.274133 2.924466 4.204987 -7.849364 -3.963316 2.1747517
## X231 6.184269 1.286356 2.671032 5.325310 -7.469874 -4.342806 1.8082888
## X232 6.223931 1.302302 2.860031 5.731246 -7.542634 -3.912023 1.4816045
## X233 4.805045 1.296467 2.106497 4.695848 -8.016418 -3.963316 1.4816045
## X234 4.102821 1.289931 3.076971 5.325310 -7.369791 -3.772261 2.1747517
## X236 6.592710 1.282549 2.154845 4.749337 -7.706263 -4.688552 1.5686159
## X237 4.360856 1.286356 3.076971 5.630705 -7.849364 -3.506558 2.3025851
## X239 3.913012 1.282549 1.564217 4.204987 -7.706263 -3.912023 1.0296194
## X240 4.360856 1.286356 3.076971 3.578777 -7.024289 -4.017384 2.4849066
## X241 3.913012 1.282549 2.924466 5.066223 -7.469874 -4.135167 2.0149030
## X242 2.634588 1.316614 4.936704 2.791992 -6.948287 -2.453408 2.9957323
## X243 2.860031 1.264435 2.578583 1.052263 -7.264430 -4.268698 1.5475625
## X244 3.913012 1.274133 2.578583 5.376615 -7.849364 -4.268698 2.0149030
## X245 6.857203 1.264435 1.693661 7.174674 -7.751725 -5.472671 1.2089603
## X246 4.936704 1.293295 3.593860 2.978813 -6.907755 -3.079114 2.4849066
## X247 6.103215 1.286356 2.292540 7.174674 -8.217089 -4.976234 1.2089603
## X249 3.076971 1.269463 2.776394 4.204987 -7.469874 -3.912023 1.8082888
## X250 3.351388 1.278484 2.616102 4.149327 -8.047190 -3.912023 1.5260563
## X251 2.031412 1.289931 2.357662 3.578777 -7.662778 -4.509860 2.1860513
## X253 3.705506 1.278484 3.076971 2.407182 -7.402052 -3.057608 2.1860513
## X254 2.031412 1.289931 4.440875 5.325310 -7.354042 -3.324236 2.0668628
## X255 6.223931 1.286356 3.218759 4.149327 -7.751725 -3.863233 1.1939225
## X256 4.518270 1.269463 1.898648 3.040333 -7.264430 -4.815891 0.5877867
## X257 7.431248 1.264435 2.501234 5.630705 -8.047190 -4.656463 1.1939225
## X258 4.278004 1.269463 2.461332 4.149327 -7.264430 -4.509860 1.5260563
## X260 5.799150 1.274133 3.351388 3.402176 -7.824046 -3.963316 1.2089603
## X261 4.440875 1.278484 2.270306 4.642159 -8.047190 -5.132803 1.1939225
## X262 6.223931 1.282549 2.520871 6.705891 -7.684284 -4.645992 1.2089603
## X263 5.889532 1.293295 4.009916 4.037285 -7.182192 -3.244194 2.1747517
## X264 2.031412 1.302302 3.811702 5.170380 -6.502290 -3.194183 2.8903718
## X265 5.456396 1.278484 2.597435 5.731246 -8.016418 -3.912023 2.2617631
## X267 3.218759 1.286356 3.476091 3.637051 -7.581100 -3.688879 2.0149030
## X268 6.339666 1.286356 2.860031 8.081107 -7.600902 -3.912023 2.2617631
## X269 4.665910 1.278484 2.081821 4.204987 -7.706263 -4.268698 1.4586150
## X270 4.805045 1.302302 2.652897 5.325310 -7.824046 -3.863233 1.8245493
## X271 7.609273 1.299465 3.076971 5.325310 -7.751725 -3.912023 2.3978953
## X272 4.871752 1.282549 2.520871 8.520578 -7.824046 -4.074542 1.8245493
## X273 7.041123 1.286356 3.076971 6.705891 -8.016418 -4.268698 1.4816045
## X274 5.657628 1.289931 2.597435 4.695848 -7.824046 -4.199705 1.4816045
## X275 6.339666 1.282549 4.192081 3.578777 -6.812445 -3.218876 2.4849066
## X277 3.218759 1.278484 2.776394 3.637051 -7.641724 -4.199705 1.2237754
## X278 2.843587 1.293295 3.218759 4.749337 -7.354042 -3.506558 2.1517622
## X279 4.871752 1.269463 2.671032 3.637051 -7.581100 -4.135167 1.5686159
## X281 5.121987 1.293295 3.218759 4.204987 -7.706263 -3.863233 2.0149030
## X282 3.593860 1.274133 2.924466 4.802628 -7.264430 -3.575551 1.2089603
## X283 6.223931 1.296467 3.351388 5.325310 -7.418581 -3.688879 2.2617631
## X287 4.102821 1.289931 3.076971 5.427755 -8.047190 -3.688879 2.2192035
## X289 3.218759 1.274133 1.952975 5.325310 -7.581100 -4.199705 1.7404662
## X290 4.518270 1.274133 2.106497 2.791992 -7.264430 -4.422849 1.2089603
## X291 6.339666 1.274133 2.876338 5.066223 -7.581100 -4.017384 1.5686159
## X292 6.339666 1.286356 4.009916 4.204987 -7.182192 -3.688879 1.7404662
## X294 2.843587 1.278484 3.076971 3.578777 -7.354042 -3.244194 2.1517622
## X297 4.440875 1.269463 2.420557 4.642159 -7.849364 -4.017384 1.8082888
## X298 4.102821 1.274133 2.671032 3.461346 -8.294050 -3.296837 1.5260563
## X299 6.103215 1.278484 2.671032 5.325310 -7.469874 -4.422849 1.8082888
## X301 3.351388 1.286356 1.898648 4.642159 -8.517193 -4.422849 1.6863990
## X302 3.218759 1.293295 1.842554 5.731246 -7.182192 -4.074542 1.4586150
## X303 5.061733 1.293295 2.597435 3.402176 -7.684284 -4.199705 2.2617631
## X304 5.558929 1.278484 2.420557 5.731246 -7.264430 -4.656463 1.8082888
## X305 6.661108 1.307549 3.593860 6.705891 -7.047017 -3.611918 2.5649494
## X306 6.592710 1.282549 3.593860 5.731246 -7.354042 -3.540459 1.7404662
## X307 6.103215 1.302302 4.360856 5.325310 -6.812445 -3.079114 2.3025851
## X308 4.936704 1.289931 4.009916 4.749337 -6.645391 -2.813411 2.5649494
## X311 2.031412 1.286356 3.593860 3.282892 -7.293418 -3.816713 1.9169226
## X312 7.559432 1.264435 2.827004 5.170380 -7.264430 -4.268698 0.5877867
## X313 8.025855 1.293295 2.860031 1.866476 -7.824046 -3.729701 1.2089603
## X314 7.070709 1.274133 2.201921 5.731246 -7.264430 -4.199705 1.2089603
## X315 3.913012 1.293295 3.476091 4.204987 -6.907755 -3.352407 2.5649494
## X316 4.665910 1.278484 3.076971 6.225224 -7.849364 -3.912023 1.5260563
## X317 3.913012 1.274133 2.924466 3.461346 -7.849364 -3.863233 2.2192035
## X320 7.157766 1.286356 3.218759 4.802628 -8.294050 -3.963316 2.0412203
## X321 4.665910 1.286356 2.924466 2.407182 -7.264430 -3.649659 1.9459101
## X322 3.218759 1.293295 4.192081 7.632751 -6.725434 -3.244194 2.4849066
## X323 7.297547 1.293295 3.218759 6.705891 -7.684284 -4.268698 1.2089603
## X324 5.121987 1.293295 3.076971 4.204987 -7.354042 -4.074542 1.7404662
## X325 4.805045 1.307549 3.476091 5.325310 -7.222466 -3.442019 1.4816045
## X326 5.799150 1.282549 2.860031 5.325310 -7.264430 -4.791500 1.1939225
## X327 4.871752 1.274133 3.218759 3.637051 -7.849364 -3.649659 1.8082888
## X329 2.501234 1.282549 2.924466 5.630705 -7.849364 -4.074542 1.8082888
## X330 2.843587 1.278484 2.876338 4.749337 -8.047190 -4.268698 2.0668628
## X331 6.857203 1.293295 2.005655 5.325310 -8.111728 -3.963316 2.2617631
## X332 5.180840 1.282549 3.593860 6.705891 -7.323271 -3.863233 1.4816045
## X333 6.223931 1.293295 2.860031 4.695848 -7.418581 -3.863233 1.8245493
##             IL_5        IL_6 IL_6_Receptor      IL_7     IL_8
## X1    1.09861229  0.26936976    0.64279595 4.8050453 1.711325
## X2    0.69314718  0.09622438    0.43115645 3.7055056 1.675557
## X3   -0.24846136  0.18568645    0.09668586 1.0056222 1.691393
## X5    1.16315081 -0.07204658    0.09668586 4.2875620 1.764298
## X6   -0.40047757  0.18568645   -0.51727788 2.7763945 1.708270
## X7    0.83290912  0.09622438    0.43115645 4.0099156 1.698489
## X8   -0.09431068  1.00562217   -0.60969274 3.7055056 1.701858
## X9   -0.15082289 -0.64724718    0.27296583 0.6848724 1.691393
## X11   0.18232156 -1.09654116    0.35404039 2.9244660 1.719944
## X12   0.33647224 -0.39871863    0.09668586 2.9244660 1.675557
## X14   0.09531018  0.49280272    0.00000000 1.0056222 1.760954
## X16   0.26236426  0.42235886    0.18739989 1.2696362 1.705116
## X17  -0.17435339  0.26936976   -0.25138068 2.5785828 1.760954
## X18  -0.75502258 -0.17134851    0.00000000 2.7592279 1.573599
## X19  -0.30110509 -0.37116408   -0.33825519 1.3095734 1.719944
## X20  -0.67334455 -0.07204658   -0.39066087 2.7934108 1.750000
## X21  -0.54472718 -0.09342680   -0.30031103 0.5598079 1.701858
## X22   0.40546511 -1.01892829    0.35404039 3.5938596 1.764298
## X23  -0.13926207  0.62373057   -0.51727788 2.1548454 1.675557
## X24   0.47000363 -0.15990607    0.35404039 3.2187591 1.695003
## X25  -0.71334989 -0.33102365   -0.18121747 1.5642169 1.657003
## X26  -0.17435339 -0.24238905   -0.30031103 1.5642169 1.679744
## X28   0.33647224 -0.09342680    0.27296583 2.1548454 1.671202
## X29   0.09531018 -0.15990607    0.00000000 2.7763945 1.675557
## X30   1.94591015  0.09622438   -0.20419869 3.2187591 1.679744
## X31   0.64185389  0.34805188   -0.12541320 3.2187591 1.772079
## X34   0.00000000  1.53020362   -0.40410820 0.6848724 1.757464
## X35  -0.37106368 -0.64724718   -0.32548281 4.3608562 1.646447
## X36   0.64185389  0.34805188    0.18739989 4.3608562 1.717157
## X37   0.00000000 -0.83723396    0.00000000 1.5642169 1.701858
## X38  -0.37106368 -0.18290044    0.09668586 2.0567968 1.739622
## X39   0.58778666 -1.18086796   -0.05090066 3.9130123 1.657003
## X40  -0.13926207  0.26936976    0.00000000 1.8425543 1.730320
## X41   0.18232156 -0.99435191    0.27296583 3.9130123 1.717157
## X42   0.00000000 -0.18290044    0.18739989 2.1548454 1.711325
## X43  -0.30110509  0.49280272   -0.01003520 3.2187591 1.698489
## X44   0.33647224 -0.24238905   -0.06130466 3.8117017 1.760954
## X45   0.26236426 -0.41274719    0.35404039 3.2187591 1.725279
## X46   0.33647224 -0.07204658    0.00000000 1.8425543 1.727834
## X47  -1.04982212  0.34805188   -0.10371280 2.1548454 1.679744
## X48   0.64185389 -0.07204658    0.35404039 3.9130123 1.701858
## X50   0.58778666 -0.99435191   -0.13639307 2.9244660 1.725279
## X51   0.09531018 -1.45166590    0.50475301 2.3362105 1.661938
## X53   0.09531018  0.26936976   -0.26344327 3.4760910 1.708270
## X55   0.18232156 -0.45589516    0.27296583 2.7934108 1.730320
## X56  -0.15082289  0.00000000   -0.16987200 2.0567968 1.683772
## X57   0.58778666 -0.15990607    0.64279595 3.7055056 1.714286
## X59  -0.15082289  0.18568645    0.27296583 1.6936607 1.735094
## X60  -0.18632958  0.55980793   -0.04057305 2.1548454 1.705116
## X61   0.33647224 -0.17134851   -0.19265903 2.0567968 1.687652
## X62  -0.08338161  0.09622438   -0.12541320 5.1219873 1.695003
## X63  -0.65392647 -0.09342680    0.00000000 2.1548454 1.683772
## X64   0.33647224  1.30957344    0.18739989 1.2696362 1.711325
## X65  -0.67334455 -0.24238905   -0.31283574 1.8425543 1.714286
## X67   0.00000000 -0.27956244    0.27296583 1.2696362 1.675557
## X68  -0.56211892 -1.01892829   -0.08234738 2.7763945 1.695003
## X69  -0.75502258 -0.26704121   -0.13639307 2.1548454 1.683772
## X70   0.58778666 -0.24238905   -0.14746164 2.5785828 1.691393
## X71  -0.13926207  0.09622438    0.35404039 1.0056222 1.714286
## X72   1.19392247 -0.24238905    0.43115645 4.2780037 1.746000
## X73   0.09531018  0.09622438    0.18739989 2.3788658 1.691393
## X74  -1.42711636  0.34805188   -0.32548281 3.5938596 1.708270
## X75   0.26236426  1.26963623   -0.33825519 3.7055056 1.762644
## X76   0.33647224  0.18568645    0.09668586 1.2696362 1.732739
## X77   0.09531018 -0.06149412    0.27296583 3.4760910 1.722650
## X78   0.99325177 -0.09342680    0.50475301 3.4760910 1.779137
## X80   0.40546511  0.09622438    0.00000000 3.9130123 1.687652
## X81   0.47000363 -0.09342680    0.27296583 2.9244660 1.705116
## X82   0.00000000 -1.09654116    0.18739989 2.5785828 1.717157
## X83   0.09531018  0.79981129    0.35404039 3.5938596 1.727834
## X84  -0.15082289  0.00000000   -0.25138068 2.1548454 1.683772
## X85   0.83290912 -1.45166590   -0.03032047 4.0099156 1.725279
## X86   0.91629073  0.18568645    0.50475301 4.3608562 1.760954
## X88  -0.43078292  0.09622438   -0.18121747 2.1548454 1.751931
## X90  -0.56211892  0.00000000   -0.45939334 1.7245084 1.651845
## X93   0.69314718 -1.45166590    0.43115645 3.0769713 1.735094
## X94   0.91629073  0.49280272    0.18739989 4.1028210 1.794804
## X95   0.33647224  0.34805188   -0.07178642 3.7055056 1.705116
## X96   0.64185389 -1.53427578   -0.26344327 2.5785828 1.695003
## X97   0.00000000 -0.61296931    0.64279595 2.1548454 1.695003
## X98   0.00000000 -0.07204658   -0.43144357 2.7592279 1.634852
## X99   0.47000363  0.62373057   -0.12541320 3.0769713 1.767505
## X100  0.33647224 -0.64724718    0.50475301 2.3362105 1.666667
## X103  1.09861229  0.34805188    0.64279595 3.9130123 1.725279
## X104  0.09531018  0.00000000   -0.06130466 3.7055056 1.719944
## X105  0.64185389 -0.70078093   -0.10371280 3.4760910 1.725279
## X107  0.58778666  0.09622438    0.27296583 3.2187591 1.737387
## X108  0.26236426  0.34805188    0.27296583 3.9130123 1.711325
## X109  0.58778666 -0.24238905    0.27296583 2.1548454 1.661938
## X110  0.00000000 -0.50074709   -0.14746164 2.1548454 1.687652
## X111  0.40546511 -0.15990607   -0.16987200 3.5938596 1.714286
## X112  0.83290912 -0.07204658    0.64279595 5.3496753 1.737387
## X113  0.58778666 -0.24238905    0.27296583 3.9130123 1.725279
## X114 -0.17435339  0.09622438   -0.41770114 2.5785828 1.711325
## X115 -0.49429632 -0.18290044   -0.35115595 2.1548454 1.714286
## X117  0.53062825  0.00000000    0.50475301 3.4760910 1.711325
## X118  0.40546511 -0.24238905    0.27296583 2.9244660 1.730320
## X121 -0.15082289  0.95678949    0.64279595 1.2696362 1.711325
## X123 -0.18632958 -0.77658561   -0.19265903 2.1548454 1.657003
## X124 -0.18632958 -0.37116408    0.57519641 3.4760910 1.651845
## X126  0.00000000  0.34805188   -0.13639307 1.2696362 1.705116
## X128  0.47000363 -0.64724718    0.43115645 2.9244660 1.773545
## X129 -0.37106368 -0.51610326   -0.62582535 1.6936607 1.651845
## X130  0.00000000 -0.50074709   -0.05090066 0.5598079 1.687652
## X131  0.18232156 -0.83723396    0.09668586 3.4760910 1.691393
## X132  0.00000000 -0.26704121    0.35404039 2.0567968 1.717157
## X133  0.33647224 -1.09654116    0.09668586 3.4760910 1.671202
## X134  0.47000363 -0.61296931    0.35404039 2.9244660 1.735094
## X135  0.00000000  0.00000000    0.18739989 2.1548454 1.646447
## X136 -0.56211892  0.00000000   -0.16987200 3.7055056 1.698489
## X137 -0.13926207 -0.45589516   -0.21583851 2.3788658 1.661938
## X139  0.00000000 -0.24238905    0.00000000 0.5598079 1.646447
## X140  0.18232156 -1.53427578   -0.11452033 2.9244660 1.711325
## X141  0.33647224 -0.02016195    0.64279595 1.8708303 1.708270
## X143  0.00000000  0.09622438   -0.33825519 3.4760910 1.714286
## X144  0.00000000  0.74349177   -0.10371280 0.5598079 1.675557
## X145  0.18232156 -0.37116408    0.50475301 3.5938596 1.691393
## X146  0.64185389 -0.24238905    0.35404039 3.9130123 1.730320
## X147  0.33647224  0.18568645    0.57519641 2.1548454 1.737387
## X148  0.87546874  0.79981129   -0.27561748 5.0617331 1.769060
## X149  0.33647224  0.26936976    0.18739989 3.4760910 1.717157
## X152  0.99325177 -0.61296931    0.43115645 4.5182697 1.770584
## X153  0.74193734  1.30957344   -0.21583851 3.4760910 1.759228
## X154  0.18232156 -0.24238905   -0.04057305 1.4599700 1.657003
## X155  0.00000000 -0.07204658    0.09668586 2.1548454 1.701858
## X156  0.58778666  0.49280272   -0.06130466 3.7055056 1.739622
## X157  0.47000363  0.49280272    0.27296583 2.7592279 1.687652
## X158  0.09531018  0.26936976    0.18739989 1.8425543 1.691393
## X159 -0.65392647 -1.45166590    0.00000000 2.1548454 1.753817
## X160  0.69314718 -0.07204658    0.27296583 3.9130123 1.687652
## X161  0.18232156 -0.18290044    0.70781531 2.9244660 1.679744
## X162  0.09531018 -1.01892829    0.27296583 3.0769713 1.695003
## X163 -0.56211892  0.00000000    0.09668586 0.7434918 1.679744
## X165 -0.17435339 -1.45166590    0.27296583 0.5598079 1.708270
## X166 -0.05129329 -0.64724718    0.18739989 2.0567968 1.640789
## X167  0.87546874 -0.37116408    0.57519641 4.1920814 1.727834
## X168  1.02961942 -0.45589516    0.27296583 4.1920814 1.708270
## X169 -0.17435339 -0.24238905    0.00000000 2.5785828 1.666667
## X170 -0.40047757  0.26936976   -0.31283574 1.5642169 1.695003
## X171  0.58778666 -0.64724718    0.27296583 4.1920814 1.714286
## X172  0.00000000 -0.50074709    0.35404039 1.4236758 1.671202
## X174  0.33647224  0.42235886    0.09668586 2.0567968 1.719944
## X175  0.33647224 -0.09342680   -0.23942725 3.7055056 1.741801
## X176  0.00000000 -0.39871863   -0.15862068 2.5595409 1.727834
## X177  0.40546511 -0.15990607    0.57519641 4.1028210 1.675557
## X178 -0.37106368  0.00000000   -0.09298900 2.1548454 1.622036
## X179  0.64185389  0.09622438    0.35404039 5.0000000 1.760954
## X180  0.58778666  0.26936976   -0.67562020 2.5785828 1.748024
## X181 -0.09431068 -0.15990607    0.18739989 3.4760910 1.708270
## X182  0.33647224 -0.07204658   -0.31283574 2.0567968 1.698489
## X183  0.18232156 -0.07204658   -0.30031103 3.5938596 1.725279
## X184  0.58778666 -1.53427578    0.18739989 2.1548454 1.705116
## X185  0.26236426 -0.18290044    0.35404039 2.7763945 1.691393
## X186  0.00000000 -0.09342680    0.18739989 1.5642169 1.607768
## X189 -0.17435339 -0.61296931    0.27296583 2.1548454 1.657003
## X190  0.09531018 -1.01892829    0.09668586 2.7763945 1.683772
## X191  0.33647224 -0.81662520   -0.21583851 2.7763945 1.705116
## X192  0.83290912 -0.37116408    0.50475301 3.3513883 1.739622
## X193  0.47000363 -0.51610326    0.27296583 2.5595409 1.698489
## X194  0.26236426  0.00000000    0.18739989 3.9130123 1.666667
## X195  0.87546874  1.00562217    0.18739989 3.7055056 1.772079
## X197  0.58778666 -0.02016195    0.70781531 2.9244660 1.717157
## X198  0.26236426 -0.50074709    0.09668586 2.0567968 1.661938
## X200  0.33647224  0.34805188    0.57519641 3.4760910 1.732739
## X201 -0.09431068 -0.06149412   -0.02014161 3.8117017 1.708270
## X202 -0.43078292 -0.26704121    0.00000000 3.2187591 1.695003
## X205  0.47000363 -0.45589516    0.35404039 2.3788658 1.705116
## X208  0.26236426 -0.15990607    0.35404039 3.0769713 1.675557
## X210  0.09531018 -0.24238905    0.50475301 0.5598079 1.683772
## X212  0.00000000 -0.99435191    0.00000000 2.5595409 1.675557
## X213  0.18232156 -0.41274719    0.18739989 2.1548454 1.691393
## X214  0.18232156  0.85402456    0.50475301 3.2187591 1.806653
## X215  0.33647224 -0.26704121    0.00000000 2.0567968 1.719944
## X216 -0.56211892  0.34805188   -0.08234738 1.7245084 1.727834
## X218  0.09531018 -0.06149412    0.43115645 3.3513883 1.698489
## X219 -0.24846136  0.18568645    0.00000000 2.0567968 1.679744
## X220  0.18232156 -0.39871863    0.27296583 2.5595409 1.666667
## X223  0.33647224 -0.26704121    0.00000000 4.1028210 1.701858
## X224  0.53062825 -0.50074709    0.09668586 2.1548454 1.657003
## X225  0.33647224 -0.26704121    0.50475301 2.0567968 1.714286
## X226  0.78845736  0.49280272    0.57519641 2.3362105 1.711325
## X227  0.64185389  0.00000000    0.27296583 4.3608562 1.727834
## X228 -0.43078292 -0.07204658   -0.18121747 3.2187591 1.679744
## X229 -0.54472718 -0.61296931   -0.07178642 2.1548454 1.695003
## X230  0.00000000  0.55980793    0.09668586 2.1548454 1.719944
## X231  0.18232156 -0.41274719    0.09668586 1.5642169 1.695003
## X232 -0.09431068  0.18568645    0.35404039 3.0769713 1.691393
## X233 -0.30110509  0.00000000   -0.30031103 1.7245084 1.687652
## X234  0.18232156 -0.71923319   -0.07178642 3.4760910 1.675557
## X236  0.18232156 -0.15990607    0.00000000 2.1548454 1.634852
## X237  0.47000363 -0.64724718    0.35404039 3.4760910 1.732739
## X239 -0.18632958  0.79981129   -0.40410820 5.7056368 1.695003
## X240  0.53062825  0.09622438    0.18739989 2.1548454 1.737387
## X241  0.58778666 -1.45166590    0.00000000 3.9130123 1.657003
## X242  0.78845736  0.09622438    0.64279595 5.1219873 1.737387
## X243 -0.15082289  0.09622438    0.09668586 1.2696362 1.661938
## X244  0.00000000  0.79981129    0.18739989 1.2696362 1.797969
## X245 -0.41551544 -0.15990607   -0.67562020 1.7245084 1.687652
## X246  0.74193734 -0.26704121   -0.18121747 4.2780037 1.711325
## X247 -0.41551544 -0.37116408   -0.33825519 2.0567968 1.671202
## X249  0.58778666 -0.24238905    0.83099088 1.5642169 1.687652
## X250  0.18232156 -0.99435191   -0.05090066 3.0769713 1.739622
## X251 -1.04982212  0.18568645    0.18739989 1.2696362 1.691393
## X253  0.47000363  0.18641819    0.43115645 3.4760910 1.750000
## X254  1.16315081 -0.37116408    0.64279595 4.3608562 1.762644
## X255  0.64185389 -0.39871863    0.18739989 2.0567968 1.750000
## X256  0.00000000 -0.64724718   -0.18121747 2.0567968 1.646447
## X257 -0.15082289 -0.81662520    0.00000000 2.0567968 1.628609
## X258  0.18232156  0.90630094   -0.13639307 2.1548454 1.695003
## X260 -0.09431068 -0.64724718   -0.12541320 3.0769713 1.741801
## X261 -0.65392647 -0.27956244   -0.03032047 1.2696362 1.687652
## X262 -0.30110509 -0.15990607    0.18739989 1.7245084 1.666667
## X263  0.69314718 -0.15990607    0.50475301 3.9130123 1.741801
## X264  1.06471074 -0.64724718   -0.22758062 4.5182697 1.753817
## X265  0.33647224 -0.15990607    0.27296583 4.2780037 1.661938
## X267  0.33647224  0.26936976    0.57519641 2.9244660 1.719944
## X268  0.18232156 -0.37116408    0.00000000 3.7055056 1.732739
## X269  0.47000363  0.26936976   -0.19265903 2.7592279 1.657003
## X270 -0.09431068 -0.81662520    0.64279595 2.7763945 1.739622
## X271  0.26236426 -0.37116408    0.35404039 3.4760910 1.711325
## X272 -0.18632958  0.18568645   -0.25138068 3.7055056 1.687652
## X273 -0.30110509  0.68487244    0.57519641 2.3362105 1.746000
## X274  0.40546511 -0.15990607    0.27296583 0.7434918 1.675557
## X275  0.95551145  0.49280272    0.50475301 4.4408751 1.691393
## X277 -0.07257069 -0.41274719    0.18739989 2.5785828 1.717157
## X278  0.64185389 -0.07204658    0.35404039 3.9130123 1.719944
## X279  0.18232156 -1.27337604    0.00000000 2.5785828 1.675557
## X281  0.47000363 -0.09342680    0.35404039 2.5785828 1.705116
## X282  0.33647224  0.34805188   -0.48799216 1.8425543 1.743926
## X283  0.69314718 -0.15990607    0.09668586 3.4760910 1.753817
## X287  0.58778666  0.09622438    0.09668586 3.9130123 1.675557
## X289 -0.18632958 -0.07204658   -0.60969274 3.5938596 1.687652
## X290 -0.37106368 -0.24238905   -0.57808019 2.3788658 1.698489
## X291  0.33647224  0.49280272    0.09668586 3.2187591 1.759228
## X292  0.33647224  1.81380304    0.64279595 3.5938596 1.760954
## X294  0.18232156 -0.26704121   -0.48799216 3.9130123 1.671202
## X297  0.00000000 -0.39871863    0.57519641 1.2696362 1.640789
## X298  0.47000363 -0.24238905   -0.30031103 2.9244660 1.657003
## X299 -0.17435339 -0.83723396    0.27296583 2.1548454 1.675557
## X301  0.18232156 -0.39871863    0.18739989 2.1548454 1.607768
## X302  0.18232156  0.26936976   -0.45939334 2.1548454 1.708270
## X303  0.47000363  0.68487244   -0.12541320 2.3362105 1.717157
## X304  0.18232156 -0.18290044    0.00000000 2.1548454 1.701858
## X305  0.58778666 -0.64724718   -0.08234738 3.7055056 1.711325
## X306  0.58778666 -0.50074709    0.18739989 4.1920814 1.743926
## X307  1.16315081 -0.26704121    0.00000000 4.2780037 1.753817
## X308  0.83290912  0.09622438    0.57519641 4.6659102 1.691393
## X311  0.47000363 -0.39871863   -0.27561748 4.2780037 1.730320
## X312  0.09531018  0.00000000   -0.02014161 2.5595409 1.683772
## X313 -0.30110509 -0.25465110    0.43115645 3.0769713 1.705116
## X314 -0.56211892 -1.45166590   -0.06130466 2.5595409 1.661938
## X315  0.64185389  0.09622438    0.35404039 4.3608562 1.743926
## X316  0.18232156 -0.07204658    0.50475301 4.1028210 1.671202
## X317  0.18232156 -0.45589516    0.35404039 2.7934108 1.646447
## X320 -0.13926207  0.00000000    0.00000000 4.1028210 1.666667
## X321 -0.13926207 -0.07204658   -0.64218542 3.7055056 1.679744
## X322  0.58778666 -0.39871863    0.18739989 4.4408751 1.698489
## X323  0.09531018  0.00000000   -0.27561748 2.7763945 1.675557
## X324  0.18232156 -0.26704121    0.09668586 3.2187591 1.698489
## X325 -0.09431068  0.09622438    0.43115645 4.4408751 1.722650
## X326 -0.10503540 -0.81662520    0.35404039 2.0567968 1.701858
## X327  0.18232156  0.26936976    0.09668586 2.9244660 1.725279
## X329  0.64185389  0.18568645    0.09668586 2.1548454 1.714286
## X330  0.26236426  0.42235886   -0.05090066 3.7055056 1.727834
## X331 -0.56211892 -1.01892829   -0.06130466 3.0769713 1.600000
## X332 -0.09431068 -0.15990607   -0.35115595 3.3513883 1.717157
## X333  0.69314718 -1.27337604    0.43115645 3.9130123 1.727834
##      IP_10_Inducible_Protein_10        IgA    Insulin
## X1                     6.242223  -6.812445 -0.6258253
## X2                     5.686975  -6.377127 -0.9431406
## X3                     5.049856  -6.319969 -1.4466191
## X5                     6.369901  -4.645992 -0.3003110
## X6                     5.480639  -5.809143 -1.3405481
## X7                     5.451038  -6.645391 -0.8398078
## X8                     5.968708  -5.083206 -1.0105157
## X9                     5.375278  -6.645391 -1.4852687
## X11                    6.144186  -5.776353 -1.3079612
## X12                    5.164786  -6.502290 -1.0827874
## X14                    6.313548  -5.599422 -1.3405481
## X16                    5.598422  -5.449140 -1.4097335
## X17                    6.063785  -5.496768 -1.1884825
## X18                    5.036953  -6.214608 -1.6677387
## X19                    7.383989  -7.323271 -1.3405481
## X20                    5.375278  -4.509860 -1.3405481
## X21                    6.218600  -5.339139 -1.4466191
## X22                    5.789960  -5.403678 -1.1884825
## X23                    5.056246  -5.952244 -1.2765538
## X24                    5.683580  -6.119298 -0.8203007
## X25                    5.416100  -7.402052 -1.2765538
## X26                    5.843544  -6.165818 -1.4852687
## X28                    5.758902  -6.502290 -0.7456014
## X29                    5.480639  -6.437752 -1.3405481
## X30                    5.837730  -7.293418 -1.3079612
## X31                    6.428105  -6.074846 -0.9431406
## X34                    5.484797  -5.278515 -1.1884825
## X35                    4.905275  -5.744604 -1.8132213
## X36                    6.612041  -4.803621 -0.7638043
## X37                    6.086775  -6.074846 -1.2765538
## X38                    5.902633  -6.907755 -1.3079612
## X39                    5.181784  -6.119298 -0.7823131
## X40                    6.527958  -6.119298 -1.5259022
## X41                    5.484797  -5.496768 -1.2168953
## X42                    5.541264  -6.214608 -1.8652431
## X43                    5.937536  -6.265901 -1.4466191
## X44                    6.675823  -6.437752 -1.2765538
## X45                    6.118097  -5.744604 -1.0827874
## X46                    5.204007  -6.571283 -1.2168953
## X47                    5.389072  -6.907755 -1.8652431
## X48                    5.758902  -6.032287 -0.8799269
## X50                    5.723585  -5.572754 -1.1884825
## X51                    5.451038  -6.948577 -1.5687868
## X53                    5.983936  -5.360193 -1.1081246
## X55                    5.476464  -6.725434 -1.5259022
## X56                    5.913503  -6.437752 -1.4852687
## X57                    6.156979  -5.259097 -1.0827874
## X59                    6.565265  -5.472671 -1.8132213
## X60                    5.817111  -5.572754 -1.3744281
## X61                    5.147494  -6.502290 -1.4466191
## X62                    5.817111  -6.265901 -1.3744281
## X63                    5.981414  -6.032287 -2.1691668
## X64                    6.059123  -5.360193 -1.4097335
## X65                    5.129899  -6.645391 -1.3405481
## X67                    5.468060  -6.812445 -2.1691668
## X68                    5.318120  -6.725434 -1.2462272
## X69                    5.225747  -6.119298 -1.3405481
## X70                    5.765191  -7.236259 -1.1884825
## X71                    5.153292  -7.035589 -1.2765538
## X72                    6.565265  -5.201186 -0.4177011
## X73                    5.805135  -6.032287 -1.1081246
## X74                    5.758902  -5.572754 -2.1464071
## X75                    6.115892  -4.791500 -1.0105157
## X76                    5.141664  -6.165818 -1.3079612
## X77                    5.420535  -5.360193 -1.2462272
## X78                    6.700731  -5.744604 -0.9431406
## X80                    5.855072  -5.991465 -1.0340201
## X81                    5.891644  -7.195437 -1.1341535
## X82                    5.846439  -6.502290 -1.2765538
## X83                    5.983936  -6.437752 -1.2462272
## X84                    5.690359  -6.907755 -1.4852687
## X85                    6.359574  -5.776353 -0.9005739
## X86                    6.023448  -5.020686 -0.5472920
## X88                    5.958425  -6.502290 -1.3744281
## X90                    5.505332  -6.645391 -1.4852687
## X93                    5.799093  -5.067206 -1.2462272
## X94                    6.813445  -4.268698 -0.7276925
## X95                    5.697093  -6.725434 -1.0827874
## X96                    6.300786  -6.725434 -1.3405481
## X97                    5.905362  -6.645391 -2.0098877
## X98                    5.327876  -6.927958 -1.5259022
## X99                    5.525453  -6.437752 -0.9651041
## X100                   5.662960  -6.377127 -1.6142515
## X103                   6.115892  -8.047190 -0.8799269
## X104                   5.686975  -6.214608 -1.1081246
## X105                   5.068904  -6.645391 -0.9431406
## X107                   5.361292  -6.725434 -0.9216381
## X108                   6.326149  -6.437752 -0.7823131
## X109                   5.384495  -6.319969 -1.6677387
## X110                   5.752573  -7.250246 -1.4466191
## X111                   5.529429  -6.377127 -1.0105157
## X112                   6.423247  -5.083206 -0.3641883
## X113                   6.322565  -4.699481 -0.8596776
## X114                   5.468060  -5.521461 -2.0098877
## X115                   6.879356  -4.879607 -1.4852687
## X117                   5.793014  -6.812445 -1.0340201
## X118                   6.579251  -6.319969 -0.8011407
## X121                   5.673323  -5.318520 -1.7093141
## X123                   5.451038  -6.502290 -2.1464071
## X124                   5.075174  -6.074846 -0.7456014
## X126                   5.049856  -6.319969 -1.8132213
## X128                   6.651572  -5.914504 -1.4097335
## X129                   5.934894  -6.437752 -1.8132213
## X130                   5.793014  -5.259097 -1.1884825
## X131                   4.962845  -7.082109 -1.1081246
## X132                   5.852202  -6.214608 -1.2168953
## X133                   6.107023  -5.083206 -0.9875535
## X134                   5.743003  -5.472671 -0.9875535
## X135                   5.332719  -5.546779 -1.0580989
## X136                   6.410175  -5.083206 -1.2765538
## X137                   4.934474  -5.713833 -1.2765538
## X139                   5.501258  -6.265901 -1.8652431
## X140                   6.406880  -6.265901 -1.0827874
## X141                   5.429346  -6.645391 -1.2765538
## X143                   6.068426  -5.991465 -1.2168953
## X144                   6.013715  -6.214608 -1.8652431
## X145                   5.513429  -6.032287 -1.3744281
## X146                   6.646391  -4.879607 -0.7638043
## X147                   6.651572  -6.938214 -1.1884825
## X148                   6.588926  -5.952244 -0.2275806
## X149                   5.720312  -7.338538 -1.0580989
## X152                   6.431331  -5.683980 -0.3003110
## X153                   6.165418  -5.099467 -0.8596776
## X154                   4.990433  -7.013116 -1.2168953
## X155                   5.616771  -6.265901 -1.3079612
## X156                   5.472271  -5.240048 -0.8011407
## X157                   4.927254  -6.571283 -1.0827874
## X158                   4.997212  -5.914504 -1.4466191
## X159                   6.259581  -5.914504 -1.4852687
## X160                   4.962845  -5.496768 -0.8011407
## X161                   6.444131  -5.952244 -1.2462272
## X162                   5.846439  -7.118476 -1.2765538
## X163                   5.641907  -6.907755 -1.4466191
## X165                   6.184149  -6.645391 -1.7255647
## X166                   5.613128  -6.571283 -1.4852687
## X167                   6.220590  -6.907755 -0.8398078
## X168                   5.111988  -6.725434 -0.7823131
## X169                   5.575949  -5.599422 -1.2765538
## X170                   6.336826  -5.952244 -1.7255647
## X171                   5.899897  -5.149897 -1.1884825
## X172                   5.389072  -6.645391 -1.1341535
## X174                   5.648974  -5.521461 -1.2168953
## X175                   5.828946  -4.625373 -1.0340201
## X176                   6.169611  -6.437752 -1.4852687
## X177                   5.198497  -6.812445 -0.9651041
## X178                   5.897154  -6.907755 -1.8652431
## X179                   6.073045  -4.828314 -0.8011407
## X180                   6.220738  -6.119298 -1.1609217
## X181                   5.135798  -6.571283 -1.4097335
## X182                   5.214936 -10.519674 -1.0827874
## X183                   4.990433  -5.809143 -1.0827874
## X184                   5.739793  -6.812445 -1.0827874
## X185                   5.863631  -5.809143 -1.4097335
## X186                   4.779123  -6.265901 -1.4466191
## X189                   5.720312  -5.878136 -1.3405481
## X190                   5.968708  -5.654992 -1.2462272
## X191                   5.575949  -6.119298 -1.3405481
## X192                   6.315358  -6.165818 -0.9651041
## X193                   5.752573  -7.082109 -1.1341535
## X194                   5.493061  -6.165818 -1.0340201
## X195                   5.805135  -6.165818 -0.7456014
## X197                   5.777652  -5.449140 -1.1341535
## X198                   5.958425  -6.725434 -1.1341535
## X200                   5.549076  -6.725434 -1.2462272
## X201                   6.063785  -6.165818 -1.2765538
## X202                   5.659482  -6.991137 -1.4466191
## X205                   5.135798  -5.878136 -1.1081246
## X208                   6.903747  -6.265901 -1.0340201
## X210                   6.001415  -6.502290 -1.7255647
## X212                   5.407172  -7.799353 -1.4852687
## X213                   5.424950  -5.713833 -1.1341535
## X214                   5.298317  -6.319969 -0.8596776
## X215                   5.278115  -6.571283 -1.3079612
## X216                   5.934894  -5.878136 -1.4852687
## X218                   6.456770  -4.840893 -0.8596776
## X219                   5.986452  -6.119298 -1.8652431
## X220                   5.361292  -7.452482 -1.0827874
## X223                   5.442418  -5.298317 -0.9005739
## X224                   5.733341  -5.713833 -1.0105157
## X225                   5.752573  -6.377127 -1.1341535
## X226                   5.575949  -5.521461 -1.2462272
## X227                   5.996452  -5.318520 -0.9005739
## X228                   5.652489  -6.812445 -1.2168953
## X229                   5.648974  -5.221356 -1.4852687
## X230                   5.579730  -5.426151 -1.2765538
## X231                   5.863631  -6.502290 -1.5687868
## X232                   5.384495  -5.599422 -1.1341535
## X233                   5.937536  -7.106206 -1.5687868
## X234                   4.969813  -5.184989 -1.0827874
## X236                   5.198497  -6.812445 -1.7255647
## X237                   5.953243  -6.980326 -0.9875535
## X239                   5.030438  -5.843045 -1.5259022
## X240                   5.288267  -7.523941 -1.1884825
## X241                   5.288267  -6.319969 -1.0827874
## X242                   5.537334  -4.342806 -0.1586207
## X243                   5.093750  -5.683980 -1.6142515
## X244                   5.902633  -6.645391 -1.6142515
## X245                   4.700480  -6.377127 -1.3405481
## X246                   6.298949  -4.947660 -0.7638043
## X247                   5.817111  -6.645391 -1.7708847
## X249                   5.590987  -7.182192 -1.1884825
## X250                   5.746203  -5.914504 -1.1609217
## X251                   5.686975  -6.571283 -1.4097335
## X253                   6.003887  -4.976234 -1.2765538
## X254                   6.793466  -5.914504 -0.8398078
## X255                   5.993961  -5.184989 -1.2462272
## X256                   4.941642  -6.907755 -1.8652431
## X257                   5.123964  -7.293418 -1.4852687
## X258                   5.323010  -6.927958 -1.2765538
## X260                   5.872118  -5.878136 -1.1081246
## X261                   5.648974  -6.265901 -1.8132213
## X262                   4.844187  -6.074846 -1.3405481
## X263                   6.077642  -7.082109 -0.7638043
## X264                   6.070738  -5.472671 -0.6756202
## X265                   5.303305  -5.713833 -1.2462272
## X267                   6.063785  -5.599422 -1.1884825
## X268                   6.013715  -6.725434 -1.1884825
## X269                   5.087596  -8.145630 -1.6677387
## X270                   5.620401  -5.843045 -1.2462272
## X271                   5.924256  -5.472671 -1.2168953
## X272                   5.820083  -5.381699 -1.2765538
## X273                   6.173786  -6.119298 -1.2765538
## X274                   5.587249  -6.502290 -1.4466191
## X275                   6.122493  -5.991465 -0.7823131
## X277                   6.137727  -5.683980 -1.3405481
## X278                   6.357842  -5.878136 -0.8398078
## X279                   6.186209  -5.572754 -1.3405481
## X281                   5.631212  -5.221356 -1.0340201
## X282                   5.356586  -5.991465 -0.9431406
## X283                   6.873164  -5.744604 -1.2462272
## X287                   5.135798  -5.809143 -0.9651041
## X289                   5.501258  -5.952244 -1.3079612
## X290                   5.517453  -5.991465 -1.4466191
## X291                   5.389072  -5.381699 -1.2765538
## X292                   6.617403  -6.265901 -1.0827874
## X294                   5.840642  -6.571283 -1.0340201
## X297                   5.517453  -5.952244 -1.4097335
## X298                   4.317488  -6.119298 -1.0580989
## X299                   6.098074  -6.725434 -1.4466191
## X301                   5.590987  -7.542634 -1.9446703
## X302                   5.241747  -6.165818 -1.1341535
## X303                   5.720312  -6.119298 -1.2462272
## X304                   5.796058  -6.437752 -1.8132213
## X305                   5.361292  -5.713833 -1.0827874
## X306                   5.497168  -5.472671 -1.0340201
## X307                   6.532334  -5.546779 -0.6421854
## X308                   6.054439  -5.521461 -0.6096927
## X311                   6.278521  -5.221356 -1.0827874
## X312                   5.874931  -6.032287 -1.4852687
## X313                   6.059123  -6.502290 -1.3405481
## X314                   5.087596  -7.035589 -1.9145792
## X315                   6.208590  -5.339139 -0.7823131
## X316                   4.356709  -6.119298 -1.0580989
## X317                   5.971262  -6.907755 -1.1341535
## X320                   5.252273  -4.710531 -1.3405481
## X321                   5.111988  -7.024289 -1.2462272
## X322                   6.011267  -5.051457 -0.6421854
## X323                   6.897705  -6.214608 -1.4852687
## X324                   6.208590  -7.169120 -1.1341535
## X325                   7.501082  -6.319969 -0.9651041
## X326                   5.560682  -6.812445 -1.5687868
## X327                   5.587249  -5.240048 -1.2168953
## X329                   5.926926  -6.812445 -1.2765538
## X330                   5.267858  -4.199705 -1.3744281
## X331                   5.293305  -6.265901 -1.5687868
## X332                   5.273000  -5.914504 -1.2462272
## X333                   6.746412  -6.074846 -1.0340201
##      Kidney_Injury_Molecule_1_KIM_1     LOX_1     Leptin Lipoprotein_a    MCP_1
## X1                        -1.204295 1.7047481 -1.5290628     -4.268698 6.740519
## X2                        -1.197703 1.5260563 -1.4660558     -4.933674 6.849066
## X3                        -1.191191 1.1631508 -1.6622675     -5.843045 6.767343
## X5                        -1.163800 1.3609766 -0.9151068     -2.937463 6.722630
## X6                        -1.123868 0.6418539 -1.3613475     -4.509860 6.541030
## X7                        -1.143534 1.2237754 -1.7051413     -6.319969 6.359574
## X8                        -1.184754 1.4350845 -1.7517987     -3.863233 6.448889
## X9                        -1.159695 1.0986123 -1.7833269     -4.961845 6.445720
## X11                       -1.155616 1.4816045 -1.1867361     -5.572754 6.606650
## X12                       -1.153587 1.4586150 -1.9987562     -5.083206 6.444131
## X14                       -1.172093 1.0647107 -1.5087252     -3.442019 6.744059
## X16                       -1.202089 1.8405496 -1.3294863     -5.914504 6.212606
## X17                       -1.123868 0.5306283 -1.6420151     -2.120264 6.781058
## X18                       -1.163800 0.9162907 -1.6832823     -6.032287 6.501290
## X19                       -1.206511 0.9162907 -1.7397296     -3.540459 6.066108
## X20                       -1.191191 0.8754687 -1.6622675     -2.302585 6.787845
## X21                       -1.147537 0.7419373 -1.3294863     -6.032287 6.513230
## X22                       -1.224597 1.8718022 -1.2134062     -2.995732 6.476972
## X23                       -1.186891 0.9162907 -1.3294863     -3.863233 6.293419
## X24                       -1.202089 1.2809338 -1.7221470     -5.035953 6.403574
## X25                       -1.155616 0.9555114 -1.5047321     -5.599422 6.424869
## X26                       -1.155616 1.4109870 -1.7221470     -4.733004 6.122493
## X28                       -1.182624 1.0296194 -1.7457280     -3.324236 7.003065
## X29                       -1.184754 1.0986123 -1.4294363     -4.135167 6.484635
## X30                       -1.143534 1.0647107 -1.6272839     -4.017384 6.177944
## X31                       -1.145532 0.9932518 -1.3294863     -4.645992 6.408529
## X34                       -1.167932 0.9555114 -1.2134062     -4.342806 6.815640
## X35                       -1.170009 0.5306283 -1.9987562     -5.083206 6.478510
## X36                       -1.174184 1.5260563 -1.7517987     -2.207275 6.651572
## X37                       -1.182624 1.2527630 -1.9877978     -4.074542 6.293419
## X38                       -1.172093 1.5260563 -1.3613475     -5.184989 6.416732
## X39                       -1.199892 1.5892352 -1.7164169     -4.645992 6.302619
## X40                       -1.172093 1.4350845 -1.4660558     -6.812445 6.797940
## X41                       -1.159695 1.1939225 -1.5673739     -4.199705 6.796824
## X42                       -1.213217 1.4586150 -1.5127425     -5.472671 6.246107
## X43                       -1.123868 1.0296194 -1.9471197     -3.352407 6.364751
## X44                       -1.210972 1.5260563 -1.3946054     -4.635629 6.583409
## X45                       -1.155616 1.4586150 -1.8032876     -5.914504 6.877296
## X46                       -1.217737 1.2809338 -1.5988899     -3.649659 6.602588
## X47                       -1.186891 1.1939225 -1.7221470     -4.667046 6.516193
## X48                       -1.165862 1.5040774 -1.3294863     -5.599422 6.562444
## X50                       -1.213217 1.7404662 -1.2409325     -5.278515 6.453625
## X51                       -1.224597 1.6863990 -1.7965395     -5.221356 6.154858
## X53                       -1.199892 1.0647107 -1.3294863     -4.268698 6.401917
## X55                       -1.204295 1.0986123 -1.2988756     -5.318520 6.222576
## X56                       -1.174184 1.3609766 -1.8170863     -4.803621 6.480045
## X57                       -1.231557 1.3350011 -1.7107489     -4.645992 6.661855
## X59                       -1.191191 1.2809338 -1.7221470     -4.688552 6.565265
## X60                       -1.184754 0.8329091 -1.7338014     -5.449140 6.481577
## X61                       -1.163800 0.9555114 -1.1608546     -5.449140 6.242223
## X62                       -1.143534 0.6931472 -1.2693924     -5.472671 6.556778
## X63                       -1.182624 1.5892352 -1.6995924     -5.381699 6.823286
## X64                       -1.157652 1.5892352 -1.2988756     -2.847312 6.669498
## X65                       -1.197703 1.2237754 -1.4660558     -5.496768 6.320768
## X67                       -1.208737 1.9169226 -1.7517987     -3.442019 6.401917
## X68                       -1.224597 1.1939225 -1.6520506     -4.342806 6.368187
## X69                       -1.170009 0.5877867 -1.2409325     -5.259097 6.263398
## X70                       -1.159695 1.0986123 -1.5762143     -5.843045 6.259581
## X71                       -1.186891 1.4109870 -1.2693924     -5.546779 6.579251
## X72                       -1.231557 1.9740810 -0.6206034     -3.164404 6.603944
## X73                       -1.193353 1.5892352 -1.0641271     -4.721704 6.406880
## X74                       -1.145532 0.3364722 -1.2988756     -4.815891 6.326149
## X75                       -1.204295 0.8754687 -1.5415785     -2.847312 6.946976
## X76                       -1.193353 1.9021075 -1.7221470     -5.360193 6.907755
## X77                       -1.217737 1.6486586 -1.4294363     -3.649659 6.606650
## X78                       -1.195524 1.2527630 -1.5249442     -3.146555 6.293419
## X80                       -1.143534 1.1939225 -1.1608546     -4.840893 6.817831
## X81                       -1.178389 1.3862944 -1.1608546     -5.259097 6.742881
## X82                       -1.172093 1.1631508 -1.4660558     -3.146555 6.630683
## X83                       -1.208737 1.2237754 -1.6370627     -3.688879 6.442540
## X84                       -1.163800 1.1939225 -1.0873827     -6.165818 6.576470
## X85                       -1.197703 1.7047481 -1.5630004     -6.265901 6.767343
## X86                       -1.182624 1.4109870 -1.3294863     -3.170086 6.829794
## X88                       -1.199892 1.1314021 -1.6832823     -3.170086 6.508769
## X90                       -1.241005 0.0000000 -1.8101352     -5.403678 6.586172
## X93                       -1.241005 1.7227666 -2.0809951     -5.472671 6.665684
## X94                       -1.213217 2.0918641 -1.6224555     -3.442019 7.038784
## X95                       -1.104733 1.1939225 -1.6622675     -3.146555 6.517671
## X96                       -1.191191 1.0647107 -1.0414230     -4.605170 6.437752
## X97                       -1.189037 1.3083328 -1.6420151     -5.360193 6.152733
## X98                       -1.167932 0.5306283 -1.3294863     -5.572754 6.459904
## X99                       -1.204295 1.5475625 -1.1357025     -3.146555 6.927558
## X100                      -1.186891 1.9600948 -1.2134062     -5.878136 6.249975
## X103                      -1.213217 1.8405496 -1.3294863     -4.605170 6.726233
## X104                      -1.217737 1.8245493 -1.7641672     -3.381395 7.229839
## X105                      -1.213217 1.5260563 -1.6995924     -5.654992 6.463029
## X107                      -1.161744 1.2527630 -1.3294863     -3.963316 6.161207
## X108                      -1.206511 1.0986123 -1.8770048     -4.342806 6.731018
## X109                      -1.193353 0.8754687 -1.2693924     -3.963316 6.304449
## X110                      -1.157652 0.7419373 -1.3294863     -5.381699 6.869014
## X111                      -1.208737 1.5040774 -1.3946054     -3.506558 6.566672
## X112                      -1.184754 1.9459101 -1.4294363     -2.796881 6.519147
## X113                      -1.159695 1.2809338 -1.5249442     -2.207275 6.748760
## X114                      -1.151564 0.6418539 -1.2693924     -5.521461 6.455199
## X115                      -1.167932 1.1939225 -1.6674468     -3.411248 6.212606
## X117                      -1.161744 1.7917595 -1.3946054     -4.710531 6.184149
## X118                      -1.178389 1.7404662 -1.4660558     -5.472671 6.403574
## X121                      -1.206511 1.9021075 -1.3613475     -3.381395 6.142037
## X123                      -1.170009 0.7419373 -1.5806825     -4.268698 6.663133
## X124                      -1.197703 1.7578579 -0.8954783     -5.318520 6.473891
## X126                      -1.165862 1.7404662 -1.2988756     -3.772261 6.538140
## X128                      -1.182624 1.3862944 -1.3946054     -3.775670 6.927558
## X129                      -1.204295 1.0986123 -1.7221470     -2.733368 5.826000
## X130                      -1.178389 1.4350845 -1.5047321     -3.963316 6.251904
## X131                      -1.180503 1.0986123 -1.1357025     -4.919881 6.356108
## X132                      -1.159695 1.0296194 -1.9104977     -5.259097 5.908083
## X133                      -1.202089 0.9162907 -2.0809951     -3.273000 6.146329
## X134                      -1.149547 1.1939225 -1.2988756     -2.375156 6.844815
## X135                      -1.159695 1.5686159 -1.5047321     -5.744604 6.458338
## X136                      -1.208737 1.1314021 -1.5087252     -3.270169 6.511745
## X137                      -1.161744 1.1939225 -0.9975390     -3.381395 6.084499
## X139                      -1.172093 0.7419373 -1.6779529     -5.221356 6.416732
## X140                      -1.182624 1.1939225 -1.6571358     -5.878136 6.284134
## X141                      -1.145532 1.1314021 -1.2988756     -5.240048 6.364751
## X143                      -1.161744 0.4054651 -1.6321526     -3.015935 6.775366
## X144                      -1.182624 0.5306283 -1.4294363     -2.659260 6.561031
## X145                      -1.174184 1.4109870 -1.4294363     -5.776353 6.493754
## X146                      -1.182624 1.3083328 -2.0738009     -2.302585 6.677083
## X147                      -1.210972 1.2237754 -1.5373794     -3.270169 6.678342
## X148                      -1.229225 1.2809338 -1.1867361     -3.317314 6.613384
## X149                      -1.202089 1.0986123 -1.0192371     -4.268698 6.520621
## X152                      -1.206511 1.8405496 -2.0738009     -4.017384 6.669498
## X153                      -1.172093 0.9932518 -1.4294363     -2.120264 6.669498
## X154                      -1.204295 1.0296194 -1.1867361     -4.625373 6.196444
## X155                      -1.161744 1.2237754 -1.1608546     -3.473768 6.504288
## X156                      -1.191191 1.3862944 -1.0641271     -4.879607 6.532334
## X157                      -1.170009 1.4109870 -1.3946054     -4.688552 6.357842
## X158                      -1.199892 1.2809338 -1.5806825     -3.442019 6.202536
## X159                      -1.174184 1.1314021 -1.3294863     -4.135167 5.905362
## X160                      -1.199892 2.0412203 -1.5673739     -5.298317 5.968708
## X161                      -1.157652 1.6292405 -1.1867361     -3.079114 5.937536
## X162                      -1.224597 1.7749524 -1.2409325     -3.816713 6.689599
## X163                      -1.217737 1.3350011 -1.3294863     -6.265901 6.563856
## X165                      -1.191191 0.9555114 -1.9877978     -3.649659 7.106606
## X166                      -1.180503 1.5260563 -1.2693924     -3.772261 6.529419
## X167                      -1.243398 2.2721259 -1.4660558     -4.199705 6.610696
## X168                      -1.184754 1.4109870 -1.4660558     -4.342806 6.797940
## X169                      -1.170009 1.1314021 -1.4660558     -3.912023 6.371612
## X170                      -1.155616 0.5877867 -1.6082042     -4.422849 7.012115
## X171                      -1.178389 1.6677068 -1.7833269     -3.381395 6.257668
## X172                      -1.147537 1.1314021 -1.4294363     -4.919881 5.940171
## X174                      -1.159695 1.2237754 -1.7517987     -2.956512 6.937314
## X175                      -1.195524 1.2809338 -1.6779529     -1.386294 6.590301
## X176                      -1.163800 1.3350011 -1.3946054     -4.933674 6.697034
## X177                      -1.204295 1.9169226 -1.2988756     -5.099467 6.714171
## X178                      -1.170009 1.4350845 -1.5897179     -4.947660 6.047372
## X179                      -1.123868 0.9162907 -2.0809951     -3.170086 6.347389
## X180                      -1.167932 1.0296194 -1.4294363     -6.165818 6.369901
## X181                      -1.224597 1.0296194 -1.8313164     -5.626821 6.626718
## X182                      -1.170009 0.9932518 -1.8770048     -4.342806 6.200509
## X183                      -1.123868 0.9932518 -1.8313164     -4.135167 6.621406
## X184                      -1.191191 1.2809338 -1.7221470     -6.214608 6.333280
## X185                      -1.174184 1.4816045 -1.1608546     -2.302585 6.778785
## X186                      -1.151564 0.9932518 -1.7457280     -2.937463 6.729824
## X189                      -1.199892 0.9555114 -1.6571358     -5.298317 6.016157
## X190                      -1.224597 1.3609766 -1.8690427     -5.083206 6.429719
## X191                      -1.236256 1.0296194 -1.5415785     -3.381395 6.556778
## X192                      -1.243398 2.1633230 -1.7397296     -3.816713 7.012115
## X193                      -1.202089 1.9315214 -1.2988756     -5.599422 6.214608
## X194                      -1.206511 0.9162907 -1.5087252     -4.199705 6.320768
## X195                      -1.204295 1.9459101 -1.2693924     -4.767689 6.701960
## X197                      -1.163800 1.4816045 -1.1867361     -5.809143 6.366470
## X198                      -1.222299 1.4350845 -1.2693924     -3.688879 6.212606
## X200                      -1.202089 1.2527630 -1.8770048     -5.167289 6.297109
## X201                      -1.184754 1.2527630 -1.4660558     -5.496768 6.345636
## X202                      -1.163800 0.8329091 -1.3294863     -4.017384 6.246107
## X205                      -1.193353 1.4350845 -1.6886644     -4.961845 6.937314
## X208                      -1.213217 1.3350011 -1.3294863     -4.767689 6.075346
## X210                      -1.202089 1.1939225 -1.5373794     -5.132803 6.504288
## X212                      -1.172093 1.1631508 -1.1867361     -5.051457 6.629363
## X213                      -1.172093 1.2237754 -1.5047321     -3.772261 6.637258
## X214                      -1.193353 1.3862944 -0.6516715     -3.506558 6.685861
## X215                      -1.161744 1.4350845 -2.0466943     -4.199705 6.622736
## X216                      -1.197703 1.1631508 -1.9987562     -2.513306 6.513230
## X218                      -1.206511 1.4109870 -1.7641672     -3.473768 6.393591
## X219                      -1.174184 1.3862944 -1.4294363     -3.473768 6.089045
## X220                      -1.186891 1.3350011 -1.4294363     -5.914504 6.679599
## X223                      -1.143534 1.3083328 -1.3613475     -4.199705 6.156979
## X224                      -1.151564 0.9932518 -1.4660558     -4.933674 6.212606
## X225                      -1.197703 1.6292405 -1.4660558     -5.403678 6.253829
## X226                      -1.243398 2.2512918 -1.6470107     -5.099467 6.839476
## X227                      -1.157652 1.2809338 -1.6272839     -3.575551 6.184149
## X228                      -1.143534 1.1314021 -1.0414230     -4.509860 6.434547
## X229                      -1.143534 0.2623643 -1.2409325     -5.472671 6.042633
## X230                      -1.172093 1.1314021 -2.0738009     -4.422849 6.816736
## X231                      -1.123868 0.8329091 -1.6420151     -2.780621 6.282267
## X232                      -1.206511 1.3862944 -1.7965395     -3.473768 6.898715
## X233                      -1.208737 1.2809338 -1.1608546     -5.360193 6.214608
## X234                      -1.147537 1.0296194 -1.9193301     -2.688248 6.154858
## X236                      -1.159695 1.3862944 -1.4660558     -6.032287 6.493754
## X237                      -1.193353 1.0647107 -1.8170863     -4.422849 6.447306
## X239                      -1.149547 0.5306283 -1.2693924     -6.119298 7.012115
## X240                      -1.163800 0.6418539 -1.0414230     -5.203007 6.089045
## X241                      -1.163800 1.2809338 -1.2134062     -3.649659 6.018593
## X242                      -1.199892 0.6418539 -1.1608546     -1.427116 6.862758
## X243                      -1.182624 1.3862944 -1.2409325     -4.755993 6.739337
## X244                      -1.165862 1.6094379 -1.4294363     -3.015935 6.693324
## X245                      -1.224597 0.3364722 -1.5762143     -4.422849 6.405228
## X246                      -1.167932 0.9932518 -1.3613475     -4.990833 6.684612
## X247                      -1.220013 1.1314021 -1.2134062     -5.449140 6.248043
## X249                      -1.182624 1.8405496 -1.3613475     -4.933674 6.580639
## X250                      -1.213217 1.0986123 -1.1608546     -4.828314 6.608001
## X251                      -1.176283 1.3083328 -1.5047321     -6.119298 6.363028
## X253                      -1.143534 1.7047481 -1.3946054     -4.342806 6.385194
## X254                      -1.184754 2.0541237 -1.0873827     -5.626821 6.376727
## X255                      -1.182624 2.1400662 -1.6370627     -2.364460 6.690842
## X256                      -1.195524 1.4350845 -1.6995924     -5.744604 6.317165
## X257                      -1.153587 0.8754687 -1.4294363     -4.342806 6.424869
## X258                      -1.199892 1.5475625 -1.2409325     -4.074542 6.864848
## X260                      -1.206511 1.6863990 -1.6622675     -2.688248 6.553933
## X261                      -1.174184 0.8754687 -1.5249442     -6.165818 6.620073
## X262                      -1.208737 1.0296194 -1.8934045     -3.649659 6.269096
## X263                      -1.220013 1.2527630 -1.2988756     -4.199705 6.439350
## X264                      -1.202089 1.6292405 -1.9987562     -4.767689 6.892642
## X265                      -1.213217 1.3350011 -1.7965395     -5.426151 6.182085
## X267                      -1.178389 1.2809338 -1.7704700     -5.713833 6.568078
## X268                      -1.224597 1.7917595 -0.8954783     -2.882404 6.530878
## X269                      -1.178389 1.1314021 -1.3294863     -4.688552 6.787845
## X270                      -1.233900 1.9600948 -2.1468457     -5.099467 6.525030
## X271                      -1.202089 2.0014800 -1.6520506     -3.270169 6.674561
## X272                      -1.191191 1.2809338 -1.3946054     -5.572754 6.656727
## X273                      -1.231557 1.8245493 -1.6272839     -6.437752 6.582025
## X274                      -1.217737 1.2237754 -1.3946054     -5.426151 6.652863
## X275                      -1.161744 1.1939225 -1.5415785     -3.912023 6.975414
## X277                      -1.167932 0.8754687 -1.8770048     -5.914504 6.419995
## X278                      -1.161744 1.0986123 -1.4660558     -5.449140 6.593045
## X279                      -1.167932 1.1314021 -1.2988756     -3.540459 6.469250
## X281                      -1.151564 0.7884574 -1.3946054     -4.422849 6.697034
## X282                      -1.193353 0.4700036 -0.8572661     -3.015935 6.734592
## X283                      -1.255574 2.2300144 -1.9987562     -5.426151 6.632002
## X287                      -1.191191 1.6292405 -1.2409325     -4.866535 6.366470
## X289                      -1.143534 0.7884574 -1.5673739     -5.683980 6.120297
## X290                      -1.204295 1.0647107 -1.0414230     -3.079114 7.047517
## X291                      -1.167932 0.8329091 -1.2988756     -3.816713 6.317165
## X292                      -1.178389 1.6292405 -1.8770048     -5.020686 6.464588
## X294                      -1.104733 0.8754687 -1.3294863     -4.767689 6.975414
## X297                      -1.176283 1.3862944 -1.2988756     -4.605170 6.045005
## X298                      -1.176283 0.9932518 -1.6176666     -3.411248 6.450470
## X299                      -1.172093 1.3609766 -1.6571358     -5.713833 5.826000
## X301                      -1.174184 1.1631508 -1.4660558     -4.779524 6.625392
## X302                      -1.143534 0.4054651 -1.5415785     -5.381699 6.481577
## X303                      -1.202089 1.9600948 -1.8313164     -4.268698 6.755769
## X304                      -1.186891 2.0412203 -1.5415785     -5.626821 6.519147
## X305                      -1.231557 1.7917595 -2.0599345     -5.020686 6.445720
## X306                      -1.161744 1.8405496 -1.5673739     -3.218876 6.356108
## X307                      -1.174184 1.5686159 -1.3946054     -5.005648 6.699500
## X308                      -1.174184 1.2237754 -1.4660558     -2.590267 6.716595
## X311                      -1.174184 1.1314021 -1.5762143     -2.995732 6.376727
## X312                      -1.208737 1.6292405 -1.4294363     -3.506558 6.527958
## X313                      -1.206511 1.6094379 -1.5988899     -4.422849 6.255750
## X314                      -1.208737 2.0014800 -1.5586574     -6.377127 5.958425
## X315                      -1.178389 0.8329091 -1.6622675     -3.729701 6.481577
## X316                      -1.213217 1.0647107 -1.3946054     -4.422849 6.089045
## X317                      -1.193353 1.3862944 -1.3946054     -5.572754 7.146772
## X320                      -1.172093 0.8329091 -1.2988756     -1.427116 6.184149
## X321                      -1.167932 0.5877867 -1.3613475     -2.975930 6.687109
## X322                      -1.186891 1.5686159 -1.8170863     -4.828314 6.661855
## X323                      -1.226905 1.5892352 -1.8313164     -3.057608 6.440947
## X324                      -1.147537 1.0986123 -1.6272839     -5.298317 6.393591
## X325                      -1.222299 1.3083328 -1.2693924     -4.947660 6.543912
## X326                      -1.248226 1.6863990 -1.9987562     -5.221356 6.075346
## X327                      -1.195524 0.9932518 -1.5167845     -4.976234 6.493754
## X329                      -1.193353 1.4350845 -1.3946054     -5.149897 6.648985
## X330                      -1.155616 0.9162907 -1.6082042     -2.617296 6.699500
## X331                      -1.206511 1.1939225 -1.8690427     -4.342806 6.375025
## X332                      -1.189037 0.8754687 -1.3613475     -5.051457 6.218600
## X333                      -1.253110 2.0412203 -1.7107489     -5.051457 6.472346
##          MCP_2        MIF MIP_1alpha MIP_1beta      MMP_2      MMP_3     MMP10
## X1   1.9805094 -1.2378744  4.9684528  3.258097 4.47856632 -2.2072749 -3.270169
## X2   1.8088944 -1.8971200  3.6901597  3.135494 3.78147319 -2.4651040 -3.649659
## X3   0.4005958 -2.3025851  4.0495083  2.397895 2.86663136 -2.3025851 -2.733368
## X5   2.2208309 -1.8971200  6.4527639  3.526361 3.69015975 -1.5606477 -2.617296
## X6   2.3343863 -2.0402208  4.6034206  2.890372 2.91775974 -3.0365543 -3.324236
## X7   2.1030230 -2.1202635  3.5512079  2.564949 3.26560115 -2.1202635 -4.135167
## X8   2.6867663 -1.7719568  6.4527639  2.833213 1.55530341 -2.5257286 -3.688879
## X9   1.8527528 -2.2072749  2.1623278  2.219203 2.81511562 -2.5639499 -4.017384
## X11  4.0237466 -1.5141277  5.3589486  4.007333 3.26560115 -2.3025851 -3.963316
## X12  1.5303762 -1.7147984  3.9611107  2.639057 2.10460236 -2.3025851 -3.244194
## X14  2.4440754 -2.0402208  4.9684528  2.833213 3.16792675 -2.5133061 -3.575551
## X16  1.0483341 -1.5141277  4.4785663  2.564949 2.33213462 -2.6592600 -3.123566
## X17  2.8501989 -1.9661129  5.3589486  3.178054 3.26560115 -3.2188758 -3.411248
## X18  1.8527528 -2.3330443  2.7632020  2.639057 2.33213462 -2.3025851 -3.963316
## X19  2.8501989 -1.7147984  5.7354768  2.639057 2.65813701 -3.1941832 -4.074542
## X20  1.5303762 -2.3538784  4.9684528  2.890372 4.60342060 -1.9661129 -2.563950
## X21  2.8501989 -1.4696760  4.3519974  3.091042 3.26560115 -2.3859667 -3.324236
## X22  1.7643559 -1.4696760  4.9285621  2.639057 4.09336677 -1.1711830 -3.611918
## X23  1.8088944 -2.1202635  3.6901597  3.583519 4.04950827 -2.1202635 -4.135167
## X24  1.0483341 -1.7147984  4.6034206  2.833213 4.13700376 -2.7333680 -3.381395
## X25  2.1820549 -2.1202635  3.4097438  2.397895 3.87177749 -2.6736488 -3.506558
## X26  2.0219013 -1.5606477  4.0495083  2.944439 2.55134197 -1.8325815 -3.381395
## X28  1.6263611 -1.8971200  3.7359451  2.116256 3.26560115 -2.5902672 -3.381395
## X29  2.2969819 -1.8971200  3.5043402  2.564949 2.33213462 -2.9004221 -3.772261
## X30  2.1030230 -2.4079456  2.3321346  2.944439 2.81511562 -2.3126354 -3.863233
## X31  2.5152196 -2.1202635  5.3589486  3.688879 3.69015975 -2.3644605 -3.244194
## X34  2.7530556 -1.8971200  3.4097438  3.258097 2.33213462 -2.6592600 -3.270169
## X35  1.5303762 -1.8325815  3.4097438  2.564949 2.33213462 -2.5383074 -3.506558
## X36  1.8527528 -1.8325815  3.9611107  2.944439 1.86752075 -2.0402208 -3.218876
## X37  1.6263611 -1.4696760  4.3519974  2.944439 3.87177749 -1.6094379 -3.218876
## X38  1.8527528 -1.7147984  3.9611107  3.367296 3.21692675 -2.1202635 -3.270169
## X39  0.4005958 -1.8325815  3.2656012  1.945910 4.84829388 -2.6310892 -4.074542
## X40  2.6191813 -2.1202635  3.6901597  2.944439 2.49726361 -2.3025851 -3.912023
## X41  1.0483341 -1.5141277  2.7632020  2.995732 2.33213462 -2.7181005 -3.270169
## X42  1.0483341 -1.7719568  3.4097438  2.944439 2.33213462 -2.4889147 -3.816713
## X43  1.8527528 -2.2072749  3.8717775  2.186051 2.81511562 -2.4889147 -3.218876
## X44  1.8088944 -1.8971200  4.2236285  2.564949 4.04950827 -2.5133061 -3.123566
## X45  3.0369315 -1.3470736  5.3589486  3.218876 3.26560115 -1.4696760 -2.764621
## X46  1.1637797 -1.8325815  3.6901597  3.178054 4.04950827 -1.5141277 -3.270169
## X47  1.8527528 -1.8325815  3.9611107  2.240710 2.33213462 -3.2441936 -3.649659
## X48  1.5303762 -1.1711830  3.5512079  2.890372 3.69015975 -1.9661129 -3.816713
## X50  3.2434918 -1.6607312  4.2236285  3.044522 1.86752075 -2.3025851 -2.645075
## X51  1.7643559 -1.9661129  3.0188940  2.230014 3.55120786 -2.4534080 -4.074542
## X53  1.1637797 -1.8971200  5.3589486  2.833213 2.86663136 -2.3227878 -3.411248
## X55  1.6731213 -2.1202635  4.0495083  2.564949 3.50434016 -2.2072749 -3.540459
## X56  1.5303762 -1.8325815  3.1185934  2.833213 2.81511562 -2.5383074 -3.729701
## X57  1.9805094 -1.2729657  6.7959273  2.186051 4.60342060 -1.9661129 -3.442019
## X59  2.5848812 -1.7147984  4.6857433  2.944439 2.60496200 -2.3644605 -3.772261
## X60  1.6731213 -2.2072749  4.7266389  2.995732 2.55134197 -3.3813948 -4.074542
## X61  1.5303762 -2.1202635  2.7632020  2.639057 2.04628168 -3.2968374 -4.017384
## X62  1.8527528 -2.3538784  3.5512079  2.639057 2.33213462 -3.0791139 -4.422849
## X63  2.3713615 -1.5606477  3.9611107  2.240710 1.86752075 -2.5902672 -3.688879
## X64  2.1427912 -1.6607312  5.3589486  3.367296 1.08050280 -3.3813948 -3.101093
## X65  1.1637797 -2.0402208  3.2656012  3.178054 3.16792675 -2.2072749 -3.649659
## X67  1.5303762 -1.3470736  3.1185934  2.639057 2.33213462 -2.4889147 -3.772261
## X68  1.7643559 -1.1394343  6.0996440  2.079442 3.55120786 -2.5510465 -3.540459
## X69  1.1637797 -2.2072749  2.9685108  2.564949 2.33213462 -4.2686979 -4.342806
## X70  2.0219013 -1.6607312  2.9685108  2.995732 3.26560115 -1.8971200 -3.324236
## X71  1.3273591 -2.1202635  4.3519974  2.772589 3.78147319 -2.0402208 -4.135167
## X72  2.2591348 -1.7147984  5.3589486  3.737670 4.04950827 -1.6607312 -3.506558
## X73  1.1637797 -1.6094379  5.3589486  3.178054 4.84829388 -1.3470736 -3.324236
## X74  2.5152196 -2.3751558  3.8717775  2.772589 3.26560115 -2.8134107 -2.995732
## X75  1.8088944 -2.3330443  6.4527639  3.401197 3.16792675 -1.8971200 -3.015935
## X76  1.6731213 -1.5141277  3.4097438  3.044522 1.35792679 -1.4696760 -2.577022
## X77  1.5303762 -1.5606477  4.6034206  2.833213 2.33213462 -2.3126354 -3.473768
## X78  2.6191813 -1.6607312  5.7354768  3.044522 4.92856213 -1.8971200 -3.036554
## X80  1.8527528 -1.6094379  3.8717775  2.833213 3.69015975 -1.8325815 -3.411248
## X81  0.4005958 -1.8971200  3.4097438  2.397895 1.35792679 -3.0365543 -3.540459
## X82  2.0219013 -1.8971200  2.7632020  2.890372 3.26560115 -2.1202635 -3.473768
## X83  2.3713615 -1.8971200  6.4527639  2.397895 3.55120786 -1.9661129 -3.411248
## X84  2.1427912 -1.6607312  3.9611107  2.397895 3.21692675 -3.2441936 -3.575551
## X85  2.1427912 -1.7147984  3.2656012  2.564949 3.64411202 -2.1202635 -3.688879
## X86  2.1427912 -1.4696760  3.5512079  3.295837 1.86752075 -1.4271164 -3.123566
## X88  2.6867663 -1.2729657  5.3589486  2.995732 2.81511562 -2.2072749 -3.270169
## X90  2.1820549 -2.3025851  5.7354768  2.708050 1.55530341 -3.6496587 -4.509860
## X93  1.7643559 -1.8325815  3.8717775  2.116256 2.96851076 -2.4418472 -3.688879
## X94  3.1563503 -1.4271164  6.0996440  3.891820 3.21692675 -1.3470736 -2.645075
## X95  2.5152196 -2.1202635  3.5512079  3.044522 2.33213462 -2.8134107 -3.688879
## X96  2.0219013 -1.6094379  4.0495083  2.944439 3.26560115 -2.2072749 -3.816713
## X97  2.0219013 -2.0402208  2.7632020  2.639057 4.39438269 -2.1202635 -3.649659
## X98  1.5303762 -2.2072749  0.9345728  2.564949 3.26560115 -3.9120230 -4.342806
## X99  1.5303762 -2.1202635  5.3589486  2.944439 2.86663136 -1.3470736 -3.963316
## X100 1.5303762 -1.8971200  3.1185934  2.054124 2.81511562 -2.0402208 -3.649659
## X103 1.1637797 -1.8325815  3.6901597  2.944439 3.78147319 -1.2729657 -2.995732
## X104 2.5502306 -1.5606477  4.2666237  3.295837 1.92776515 -2.2072749 -3.963316
## X105 1.1637797 -1.8971200  3.2656012  2.833213 3.16792675 -2.6310892 -3.863233
## X107 1.8527528 -1.6607312  4.0495083  2.772589 3.50434016 -2.5770219 -3.575551
## X108 2.1030230 -2.0402208  2.9685108  2.833213 2.81511562 -2.8647040 -3.912023
## X109 0.4005958 -2.4304185  3.2656012  2.833213 2.49726361 -3.3524072 -4.667046
## X110 1.6731213 -2.2072749  3.5512079  3.465736 1.22143685 -3.4420194 -3.963316
## X111 1.7643559 -1.4271164  3.2656012  3.044522 3.82674905 -2.1202635 -3.575551
## X112 2.3343863 -1.5606477  5.7354768  2.944439 2.81511562 -1.7147984 -2.631089
## X113 2.0219013 -1.9661129  4.9684528  3.135494 1.80658378 -2.3126354 -2.995732
## X114 2.0219013 -2.1202635  3.4097438  2.484907 2.55134197 -3.0791139 -4.199705
## X115 2.1427912 -1.5606477  4.0933668  2.397895 1.86752075 -2.6310892 -3.381395
## X117 1.5303762 -1.8971200  2.5513420  2.772589 2.55134197 -1.7719568 -3.575551
## X118 2.0219013 -1.1086626  3.9165632  3.091042 3.87177749 -0.5276327 -2.207275
## X121 2.3713615 -1.6607312  4.4785663  3.091042 1.61931977 -1.5606477 -3.575551
## X123 2.6867663 -2.5510465  2.7632020  2.397895 1.80658378 -3.3813948 -4.199705
## X124 1.7643559 -1.7719568  3.5043402  2.833213 3.55120786 -1.8971200 -3.863233
## X126 1.5303762 -1.8971200  3.1185934  2.272126 1.35792679 -1.9661129 -4.268698
## X128 2.5848812 -1.8971200  3.1185934  2.833213 2.10460236 -2.3644605 -3.272534
## X129 0.4005958 -2.1202635  3.2656012  2.397895 0.78296569 -3.1235656 -4.017384
## X130 2.0219013 -1.9661129  4.3519974  3.737670 3.87177749 -1.8971200 -4.017384
## X131 0.4005958 -2.3126354  3.6901597  2.397895 3.16792675 -2.9565116 -3.863233
## X132 1.5303762 -2.2072749  4.0495083  2.639057 2.33213462 -1.8971200 -3.506558
## X133 2.3343863 -1.8325815  4.3519974  2.708050 1.80658378 -2.4769385 -3.912023
## X134 1.6263611 -1.0216512  5.3589486  3.178054 3.26560115 -1.3862944 -2.813411
## X135 1.8527528 -1.9661129  2.3321346  2.564949 2.33213462 -3.6496587 -4.017384
## X136 2.9135187 -2.0402208  4.2666237  2.397895 3.55120786 -2.3434071 -3.575551
## X137 0.4005958 -2.2072749  3.6901597  2.104134 3.16792675 -2.7806209 -3.963316
## X139 2.0219013 -1.7719568  4.0495083  2.890372 3.26560115 -2.4769385 -3.442019
## X140 1.6263611 -1.4271164  3.2169268  2.564949 2.55134197 -2.5639499 -3.729701
## X141 1.0483341 -1.8325815  3.4097438  2.564949 4.39438269 -2.3025851 -4.074542
## X143 2.6867663 -2.1202635  4.9684528  3.332205 3.69015975 -2.4889147 -3.688879
## X144 2.0219013 -2.0402208  4.1804231  3.091042 1.80658378 -3.0791139 -3.912023
## X145 1.6731213 -2.3025851  2.3321346  2.833213 1.22143685 -3.1700857 -4.074542
## X146 2.3343863 -1.6094379  4.6034206  2.397895 2.55134197 -1.6094379 -2.975930
## X147 2.8501989 -1.2378744  4.6034206  3.295837 2.55134197 -1.6607312 -3.270169
## X148 2.9757467 -1.8325815  5.7354768  3.332205 2.96851076 -2.1202635 -3.411248
## X149 1.5303762 -2.2072749  4.0495083  3.044522 2.49726361 -2.5133061 -3.688879
## X152 2.0219013 -0.8439701  4.1804231  2.272126 2.55134197 -1.6607312 -3.244194
## X153 2.6191813 -1.7147984  4.4785663  3.178054 3.87177749 -2.3859667 -3.473768
## X154 0.4005958 -2.1202635  3.0689186  2.151762 2.49726361 -2.9565116 -4.422849
## X155 2.3343863 -1.8971200  1.7449255  2.944439 1.22143685 -3.0791139 -3.963316
## X156 0.4005958 -2.3126354  4.9684528  2.772589 4.84829388 -2.6310892 -3.506558
## X157 1.1637797 -1.9661129  3.6901597  3.258097 2.33213462 -2.5770219 -3.912023
## X158 1.1637797 -2.0402208  3.4571875  2.772589 3.16792675 -2.2072749 -3.575551
## X159 3.0064666 -2.1202635  3.6901597  2.708050 2.33213462 -2.6592600 -4.074542
## X160 1.1637797 -1.8971200  3.2656012  2.708050 4.84829388 -1.7147984 -3.540459
## X161 2.3713615 -1.7147984  3.9611107  2.833213 2.10460236 -2.3644605 -3.963316
## X162 2.1820549 -1.2378744  4.7673608  3.135494 3.55120786 -2.9004221 -4.074542
## X163 1.5303762 -2.0402208  3.0188940  2.708050 2.33213462 -3.6496587 -4.509860
## X165 2.6191813 -1.6607312  3.7359451  2.772589 2.55134197 -2.7333680 -3.473768
## X166 1.5303762 -1.7719568  1.9277652  3.044522 0.78296569 -2.8134107 -4.074542
## X167 2.1820549 -1.4696760  4.9285621  2.995732 4.09336677 -1.6607312 -2.864704
## X168 1.5303762 -2.3025851  4.0495083  2.833213 2.49726361 -2.3644605 -3.772261
## X169 2.0219013 -2.1202635  4.0495083  2.639057 3.87177749 -2.6172958 -4.342806
## X170 2.6191813 -1.4696760  4.0495083  2.484907 2.55134197 -3.8167128 -4.933674
## X171 1.0483341 -1.8325815  3.8267490  2.397895 2.33213462 -1.8971200 -3.270169
## X172 1.1637797 -2.2072749  3.5512079  3.178054 2.33213462 -2.7488722 -4.074542
## X174 2.7530556 -1.7147984  4.4785663  3.178054 3.21692675 -1.7719568 -3.101093
## X175 2.6191813 -1.8325815  4.3519974  1.974081 2.21947889 -2.1202635 -2.343407
## X176 1.5303762 -1.7147984  4.5619880  2.833213 3.01889401 -2.8647040 -3.912023
## X177 1.7643559 -1.8325815  4.6034206  3.258097 3.82674905 -1.6607312 -3.473768
## X178 1.9805094 -1.9661129  2.7632020  2.484907 1.86752075 -2.7181005 -3.688879
## X179 2.0219013 -2.3751558  4.9684528  2.484907 4.39438269 -2.7333680 -2.659260
## X180 2.8501989 -1.8971200  5.7354768  3.178054 1.80658378 -2.3434071 -3.649659
## X181 1.7643559 -2.1202635  5.3589486  2.639057 2.96851076 -3.0365543 -4.135167
## X182 0.4005958 -1.8971200  3.1679268  2.890372 2.33213462 -2.2072749 -3.912023
## X183 2.1030230 -2.5133061  2.3321346  2.833213 1.22143685 -2.7488722 -3.611918
## X184 2.0219013 -1.3093333  4.6034206  3.135494 3.26560115 -2.4769385 -3.473768
## X185 1.0483341 -2.0402208  4.5619880  2.639057 2.10460236 -2.5133061 -3.324236
## X186 1.6263611 -1.8325815  3.9165632  2.708050 2.55134197 -2.6172958 -3.688879
## X189 1.0483341 -1.6607312  3.7359451  3.218876 4.92856213 -2.6736488 -3.772261
## X190 1.2195081 -1.6607312  5.3589486  2.208274 2.96851076 -1.5606477 -3.912023
## X191 1.7643559 -1.7147984  4.6034206  2.890372 2.65813701 -2.2072749 -3.101093
## X192 2.1820549 -1.4271164  4.2666237  2.708050 3.55120786 -2.7968814 -3.473768
## X193 0.4005958 -1.4696760  2.3876751  2.564949 0.78296569 -2.3644605 -3.473768
## X194 1.7643559 -2.0402208  3.5043402  2.163323 2.33213462 -3.0791139 -3.688879
## X195 2.0219013 -2.0402208  2.8151156  3.496508 3.78147319 -1.5606477 -3.473768
## X197 1.6263611 -0.9416085  4.1804231  3.044522 4.13700376 -2.3025851 -3.575551
## X198 1.9805094 -2.1202635  3.2656012  2.302585 0.62482405 -2.7646206 -4.135167
## X200 1.5303762 -1.6607312  2.3321346  2.484907 2.81511562 -2.6310892 -3.575551
## X201 1.9805094 -1.8325815  5.7354768  2.772589 2.33213462 -2.3434071 -3.540459
## X202 1.5303762 -2.2072749  2.7632020  2.639057 2.55134197 -3.2968374 -4.074542
## X205 1.8088944 -1.8971200  4.6857433  2.890372 3.78147319 -1.8971200 -3.411248
## X208 2.6867663 -2.0402208  4.9285621  2.772589 2.33213462 -2.9957323 -3.816713
## X210 4.0237466 -2.2072749  4.1804231  2.639057 2.55134197 -2.1202635 -3.170086
## X212 1.0483341 -1.8325815  2.3876751  2.054124 2.33213462 -2.4889147 -4.342806
## X213 1.6263611 -1.9661129  4.6034206  2.397895 2.55134197 -1.4696760 -3.101093
## X214 2.0219013 -2.0402208  4.8079117  2.772589 3.78147319 -2.9565116 -3.218876
## X215 2.1030230 -1.9661129  3.5512079  2.995732 2.33213462 -1.8971200 -3.912023
## X216 4.0237466 -2.1202635  5.7354768  2.944439 3.55120786 -2.7030627 -3.473768
## X218 2.1820549 -1.9661129  5.7354768  2.484907 2.65813701 -2.5010360 -3.381395
## X219 2.1427912 -1.8971200  3.1185934  2.639057 2.81511562 -2.9374634 -4.199705
## X220 1.0483341 -1.8325815  3.1185934  2.890372 1.86752075 -2.5902672 -3.816713
## X223 1.6731213 -2.1202635  4.1804231  3.044522 2.33213462 -2.6310892 -3.575551
## X224 1.8527528 -2.0402208  3.5512079  2.772589 3.26560115 -1.8971200 -3.912023
## X225 1.5303762 -1.8971200  2.5513420  3.178054 3.26560115 -2.5770219 -4.135167
## X226 1.9805094 -1.7147984  5.7354768  2.772589 4.80791166 -1.1394343 -3.575551
## X227 2.3343863 -2.3859667  3.8717775  2.890372 3.26560115 -1.8325815 -3.649659
## X228 1.9805094 -2.3025851  2.5513420  2.186051 1.22143685 -2.6310892 -3.963316
## X229 1.0483341 -2.0402208  3.4097438  2.564949 2.21947889 -2.4534080 -3.270169
## X230 2.1820549 -1.2729657  5.3589486  2.995732 3.26560115 -2.2072749 -3.123566
## X231 2.6191813 -1.9661129  3.7359451  2.397895 3.87177749 -3.3524072 -3.912023
## X232 2.6867663 -1.7719568  4.2666237  2.639057 3.55120786 -2.5510465 -4.135167
## X233 2.9135187 -2.1202635  4.2666237  3.496508 2.33213462 -2.6450754 -3.688879
## X234 1.0483341 -1.8971200  2.4972636  2.944439 3.26560115 -2.1202635 -3.352407
## X236 2.0219013 -2.0402208  3.2169268  2.772589 4.39438269 -2.5639499 -3.575551
## X237 1.5303762 -1.8971200  3.1185934  2.833213 1.86752075 -2.3644605 -3.688879
## X239 1.8527528 -2.3859667  4.6034206  2.890372 1.80658378 -3.3813948 -4.199705
## X240 1.5303762 -2.1202635  3.1679268  2.944439 2.55134197 -2.6310892 -4.017384
## X241 1.6263611 -1.6607312  2.7632020  3.178054 4.39438269 -2.3126354 -3.611918
## X242 1.5303762 -2.6736488  4.0495083  2.944439 1.68251524 -2.7030627 -3.506558
## X243 0.4005958 -2.0402208  3.6901597  2.484907 0.78296569 -3.2441936 -3.772261
## X244 2.3713615 -1.7147984  3.2656012  2.639057 1.86752075 -2.1202635 -3.079114
## X245 1.9805094 -2.3968958  5.3589486  3.044522 2.33213462 -3.4737681 -4.342806
## X246 3.1563503 -2.3330443  4.7266389  2.772589 1.80658378 -2.6310892 -3.324236
## X247 2.1820549 -1.8325815  4.2666237  2.708050 2.96851076 -3.4737681 -3.863233
## X249 1.0483341 -1.4696760  3.7359451  2.772589 5.35894856 -2.2072749 -3.863233
## X250 1.8088944 -2.3025851  2.8151156  3.178054 3.16792675 -2.6310892 -3.611918
## X251 1.8527528 -1.8325815  3.1185934  2.772589 2.33213462 -3.1700857 -4.017384
## X253 1.5303762 -1.8325815  4.9684528  3.218876 3.21692675 -2.9374634 -3.863233
## X254 1.8527528 -1.8325815  5.3589486  2.833213 3.69015975 -1.6094379 -3.036554
## X255 1.0483341 -1.4271164  2.3876751  2.944439 2.81511562 -2.1202635 -3.270169
## X256 0.4005958 -1.7719568  2.3876751  2.302585 1.35792679 -3.0365543 -4.342806
## X257 1.0483341 -2.3330443  3.1185934  2.639057 1.35792679 -2.4079456 -3.863233
## X258 2.5152196 -1.8971200  5.7354768  3.688879 3.78147319 -2.4191189 -3.270169
## X260 2.3713615 -1.7719568  4.9285621  3.367296 3.55120786 -2.1202635 -3.611918
## X261 1.8527528 -2.3751558  3.4097438  2.151762 1.86752075 -3.2968374 -4.342806
## X262 2.5502306 -1.6094379  2.4972636  2.564949 4.60342060 -2.5510465 -4.422849
## X263 1.9805094 -1.2378744  3.2656012  2.890372 3.55120786 -2.2072749 -3.772261
## X264 2.5848812 -2.0402208  3.8267490  2.484907 2.81511562 -2.0402208 -3.442019
## X265 1.2195081 -1.9661129  3.0188940  2.484907 2.33213462 -2.3126354 -3.863233
## X267 2.0219013 -1.4696760  4.8482939  3.044522 3.87177749 -2.2072749 -3.816713
## X268 1.9805094 -1.2729657  4.2666237  2.944439 2.96851076 -2.5510465 -3.296837
## X269 1.5303762 -2.2072749  4.1804231  2.772589 2.33213462 -3.1700857 -4.342806
## X270 2.3713615 -1.5606477  4.9285621  3.610918 2.96851076 -2.5639499 -4.135167
## X271 1.9805094 -1.5606477  5.7354768  3.258097 3.55120786 -2.3227878 -3.352407
## X272 2.1820549 -1.5141277  4.4365713  2.995732 2.96851076 -2.2072749 -4.605170
## X273 2.3713615 -1.3862944  4.7673608  2.890372 2.33213462 -2.5902672 -3.506558
## X274 1.9805094 -1.6094379  4.0933668  2.397895 2.96851076 -2.1202635 -3.963316
## X275 1.8527528 -1.7719568  3.1679268  3.044522 2.81511562 -1.9661129 -3.540459
## X277 2.0219013 -1.9661129  4.6034206  2.397895 3.87177749 -2.3025851 -3.611918
## X278 2.1030230 -2.2072749  4.4785663  2.944439 2.81511562 -2.3025851 -3.772261
## X279 1.6263611 -1.8971200  3.4097438  2.302585 2.55134197 -4.4228486 -4.017384
## X281 2.7200688 -1.7719568  4.7266389  3.135494 1.80658378 -2.7030627 -3.170086
## X282 1.1637797 -1.8971200  4.3519974  2.772589 3.16792675 -2.7806209 -3.194183
## X283 3.3286939 -1.5545112  4.6034206  3.526361 3.55120786 -2.0402208 -3.473768
## X287 1.1637797 -2.1202635  3.6901597  2.772589 3.78147319 -2.4191189 -3.218876
## X289 2.1030230 -2.5383074  3.5512079  2.302585 1.49042759 -3.2968374 -4.342806
## X290 2.2591348 -2.1202635  4.9684528  3.610918 3.16792675 -3.0159350 -3.649659
## X291 1.6263611 -1.4271164  4.6034206  2.833213 2.55134197 -0.9416085 -2.830218
## X292 1.8527528 -1.8325815  4.9684528  3.178054 3.69015975 -1.8325815 -3.381395
## X294 1.8527528 -2.4769385  4.6034206  3.610918 1.80658378 -3.2968374 -3.963316
## X297 2.1427912 -2.0402208  2.3876751  2.484907 2.81511562 -2.4889147 -4.199705
## X298 0.4005958 -2.5010360  4.3519974  2.564949 3.16792675 -2.6310892 -3.963316
## X299 2.0219013 -1.4271164  3.7359451  2.995732 3.87177749 -2.9374634 -3.772261
## X301 1.8527528 -1.8325815  2.1623278  2.639057 0.09808809 -2.7181005 -4.268698
## X302 2.1030230 -2.8473123  4.0495083  2.772589 2.81511562 -2.7488722 -3.863233
## X303 1.7643559 -1.9661129  5.3589486  2.397895 3.55120786 -2.7333680 -4.268698
## X304 1.5303762 -1.6094379  3.6901597  2.944439 1.86752075 -1.9661129 -3.079114
## X305 1.7643559 -1.3862944  5.3589486  2.484907 3.55120786 -2.1202635 -3.540459
## X306 1.8527528 -1.7147984  6.0996440  3.465736 3.26560115 -1.6094379 -3.729701
## X307 2.3343863 -1.8325815  5.7354768  3.401197 3.26560115 -2.2072749 -3.324236
## X308 1.8527528 -1.7719568  4.1804231  2.140066 2.81511562 -2.3227878 -3.816713
## X311 1.8527528 -2.1202635  3.6901597  2.564949 2.33213462 -3.0365543 -3.649659
## X312 1.8527528 -1.6607312  4.3519974  3.295837 4.00542427 -1.9661129 -3.296837
## X313 1.5303762 -1.7719568  3.5043402  2.772589 0.62482405 -2.8647040 -4.074542
## X314 1.5303762 -1.5141277  2.4972636  2.282382 3.26560115 -2.7333680 -3.863233
## X315 1.5303762 -1.9661129  4.1804231  3.367296 2.81511562 -3.4420194 -3.688879
## X316 0.4005958 -2.0402208  3.0689186  2.397895 4.30941221 -3.0791139 -3.688879
## X317 1.8088944 -2.2072749  4.2236285  2.944439 3.16792675 -2.2072749 -3.381395
## X320 1.1637797 -2.3025851  4.6857433  2.484907 2.49726361 -2.2072749 -3.381395
## X321 0.4005958 -2.6310892  3.6901597  3.401197 2.49726361 -3.1941832 -4.199705
## X322 1.5303762 -1.8971200  4.6857433  2.639057 4.00542427 -2.2072749 -3.649659
## X323 1.9805094 -1.3862944  5.3589486  2.772589 3.55120786 -2.0402208 -3.540459
## X324 1.8527528 -1.6607312  3.5512079  2.833213 2.33213462 -2.6882476 -3.963316
## X325 1.8959582 -1.7719568  3.8717775  2.944439 2.33213462 -2.3025851 -3.352407
## X326 2.1030230 -1.9661129  5.3589486  2.890372 2.96851076 -3.0791139 -3.352407
## X327 2.3343863 -1.1086626  5.3589486  2.484907 3.55120786 -1.6094379 -3.381395
## X329 2.1427912 -1.8971200  3.4097438  3.044522 3.21692675 -2.1202635 -3.506558
## X330 2.3343863 -2.5010360  4.4785663  2.708050 3.87177749 -2.4304185 -3.352407
## X331 1.8959582 -1.6607312  3.2656012  2.028148 0.62482405 -2.9957323 -3.912023
## X332 1.7643559 -1.2729657  4.2666237  2.116256 1.55530341 -2.5510465 -3.816713
## X333 2.6867663 -1.3093333  4.9285621  3.044522 4.09336677 -1.8971200 -3.772261
##            MMP7   Myoglobin NT_proBNP    NrCAM Osteopontin       PAI_1
## X1   -3.7735027 -1.89711998  4.553877 5.003946    5.356586  1.00350156
## X2   -5.9681907 -0.75502258  4.219508 5.209486    6.003887 -0.03059880
## X3   -4.0302269 -1.38629436  4.248495 4.744932    5.017280  0.43837211
## X5   -0.2222222 -1.77195684  4.465908 5.198497    5.693732  0.25230466
## X6   -1.9223227 -1.13943428  4.189655 3.258097    4.736198  0.43837211
## X7   -5.9681907 -1.77195684  4.330733 4.521789    5.318120  0.00000000
## X8   -2.4721360 -1.20397280  3.828641 3.258097    4.983607  0.49054798
## X9   -5.8446454 -1.96611286  5.043425 3.912023    5.049856 -0.47754210
## X11  -3.7735027 -1.66073121  4.875197 4.488636    5.533389  0.25230466
## X12  -3.0000000 -1.42711636  4.727388 3.988984    5.099866  0.25230466
## X14  -1.3806170 -1.60943791  4.691348 4.174387    5.023881  0.32004747
## X16  -4.0302269 -2.55104645  5.323010 4.812184    5.690359  0.49054798
## X17  -2.8507125 -1.17118298  4.595120 3.761200    5.043425  0.32004747
## X18  -1.2879797 -2.35387839  3.931826 3.637586    4.927254  0.32004747
## X19  -3.3452248 -0.82098055  4.290459 3.044522    4.804021  0.53887915
## X20  -0.6037782 -0.03045921  3.784190 3.970292    4.969813  0.85893499
## X21  -3.3452248 -1.56064775  5.262690 3.828641    4.997212 -0.65480247
## X22  -4.0302269 -2.71810054  4.828314 5.429346    6.308098 -0.15428707
## X23  -6.3770782 -2.53830743  3.663562 4.382027    5.351858 -0.04107298
## X24  -4.3245553  0.74193734  4.709530 4.934474    5.743003 -0.21752413
## X25  -4.0302269 -2.12026354  4.672829 3.988984    4.653960 -0.72247798
## X26  -3.5470020  0.87546874  4.499810 4.836282    5.568345  0.09396047
## X28  -4.0302269 -0.02020271  4.465908 4.204693    5.609472 -0.05168998
## X29  -2.2640143 -1.42711636  3.931826 3.295837    4.615121 -0.87443088
## X30  -3.7735027 -2.04022083  4.317488 4.158883    5.087596 -0.14221210
## X31  -3.3452248 -1.42711636  4.828314 3.931826    5.236442  0.09396047
## X34  -2.8507125 -1.13943428  4.770685 3.526361    4.919981  0.58384004
## X35  -2.5883147 -0.73396918  4.605170 3.637586    4.744932  0.00000000
## X36  -0.7216553 -1.46967597  4.718499 4.060443    4.812184  0.00000000
## X37  -3.7735027  1.68639895  4.595120 4.836282    5.826000  0.09396047
## X38  -4.7040152 -2.04022083  4.605170 4.248495    4.976734  0.25230466
## X39  -4.5938047 -1.83258146  4.262680 5.129899    5.529429  0.09396047
## X40  -1.6514837 -1.77195684  4.499810 4.356709    4.890349  0.32004747
## X41  -3.7735027 -1.34707365  4.983607 3.806662    5.081404  0.25230466
## X42  -4.3245553 -1.46967597  4.700480 4.477337    5.262690 -0.11859478
## X43  -3.1639778 -2.71810054  4.304065 3.871201    5.323010 -0.28605071
## X44  -4.4888568 -1.17118298  4.736198 4.369448    5.147494  0.62582535
## X45  -2.1702883  0.18232156  4.634729 4.543295    5.192957  0.17742506
## X46  -1.1622777 -1.20397280  4.499810 5.010635    5.529429  0.17742506
## X47  -2.8507125 -1.96611286  4.976734 3.912023    4.727388 -0.11859478
## X48  -4.0302269 -1.89711998  4.919981 5.332719    5.765191  0.49054798
## X50  -3.5470020 -1.60943791  5.129899 4.532599    5.214936  0.17742506
## X51  -4.6666667 -1.96611286  4.795791 4.753590    5.416100 -0.40885871
## X53  -3.7735027 -1.60943791  4.127134 4.442651    5.283204  0.09396047
## X55  -6.6874449 -1.77195684  4.127134 4.836282    4.882802  0.09396047
## X56  -4.3245553 -0.59783700  5.062595 4.143135    5.017280  0.17742506
## X57  -2.8507125 -1.07880966  4.574711 4.709530    5.323010  0.49054798
## X59  -3.0000000 -1.71479843  5.036953 4.290459    5.062595  1.10005082
## X60  -4.3887656 -1.60943791  4.736198 3.912023    5.062595 -0.27188464
## X61  -3.5470020 -2.47693848  4.488636 3.713572    5.023881 -0.25795574
## X62  -6.7705802 -2.70306266  4.574711 3.713572    4.653960 -0.55204550
## X63  -3.7735027 -1.77195684  4.948760 4.465908    5.493061 -0.01006550
## X64  -1.0151134 -1.71479843  5.181784 3.526361    5.318120  0.76993928
## X65  -4.0302269 -1.60943791  4.143135 4.418841    5.117994  0.09396047
## X67  -6.3045480 -2.20727491  4.859812 4.897840    5.771441 -0.16654597
## X68  -4.3245553 -0.15082289  3.610918 4.564348    5.521461 -0.04107298
## X69  -5.7849894 -1.38629436  4.304065 4.094345    4.718499 -0.11859478
## X70  -3.3452248 -2.04022083  5.003946 5.023881    5.105945  0.17742506
## X71  -4.0302269 -1.13943428  4.605170 4.430817    4.941642  0.73700033
## X72  -4.0302269 -1.20397280  4.634729 5.472271    5.549076  0.09396047
## X73  -5.2074997 -0.67334455  4.795791 5.159055    5.605802  0.58384004
## X74  -2.0000000 -2.20727491  4.406719 3.258097    4.290459  0.49054798
## X75  -2.4721360 -0.82098055  4.820282 3.737670    5.288267  0.58384004
## X76  -2.7140452 -2.12026354  4.770685 4.955827    5.921578  0.73700033
## X77  -4.5582584 -1.13943428  4.727388 4.442651    5.501258  0.76993928
## X78  -3.1639778 -1.66073121  4.990433 4.969813    5.921578  0.83076041
## X80  -2.3643578 -2.34340709  4.770685 4.543295    5.068904  0.17742506
## X81  -3.7735027 -2.30258509  4.859812 4.356709    5.081404 -0.14221210
## X82  -4.0302269 -2.60369019  4.406719 4.174387    5.252273  0.17742506
## X83  -3.5470020  1.41098697  4.595120 4.077537    4.770685 -0.16654597
## X84  -3.3452248 -1.66073121  4.543295 4.007333    5.332719  0.32004747
## X85  -3.7735027 -1.30933332  5.468060 4.615121    5.442418  0.43837211
## X86  -2.7140452 -0.61618614  5.117994 4.248495    5.318120  0.25230466
## X88  -3.1639778 -1.10866262  4.727388 4.812184    5.365976  0.38177502
## X90  -8.3975049 -2.79688141  3.178054 2.708050    4.234107 -0.63330256
## X93  -3.5470020 -0.49429632  4.317488 3.828641    4.779123  0.38177502
## X94  -1.4299717 -0.56211892  5.886104 4.820282    5.780744  0.80114069
## X95  -2.7140452 -0.84397007  4.762174 3.970292    4.867534  0.17742506
## X96  -3.3452248 -0.82098055  4.521789 4.867534    5.384495 -0.23078200
## X97  -4.5938047 -3.01593498  4.543295 5.111988    5.288267 -0.05168998
## X98  -7.3250481 -2.97592965  4.477337 3.970292    5.087596 -0.51401261
## X99  -3.5935279 -1.51412773  4.290459 4.727388    5.840642  0.62582535
## X100 -5.1611487 -0.24846136  4.634729 5.030438    5.351858  0.25230466
## X103 -3.2335542 -1.60943791  4.663439 5.631212    5.407172  0.43837211
## X104 -4.8199434 -1.71479843  4.430817 4.795791    4.934474 -0.17899381
## X105 -5.5592895 -2.31263543  4.454347 4.962845    5.351858 -0.27188464
## X107 -1.3806170 -2.12026354  4.369448 4.812184    4.976734  0.00000000
## X108 -1.9223227 -1.27296568  4.682131 4.442651    5.438079  0.09396047
## X109 -7.5346259 -2.20727491  4.465908 4.127134    4.882802 -0.24425708
## X110 -4.3245553 -2.43041846  4.043051 3.713572    5.220356 -0.06245326
## X111 -1.2879797 -1.60943791  4.110874 5.075174    5.159055 -0.47754210
## X112 -3.3452248 -0.38566248  5.323010 5.003946    5.857933  0.17742506
## X113 -2.3643578  0.53062825  4.787492 4.204693    5.303305  0.70214496
## X114 -5.1156807 -2.56394986  4.543295 3.583519    4.595120 -0.24425708
## X115 -2.2640143 -0.86750057  4.700480 3.871201    4.912655 -0.13031621
## X117 -4.3564173 -1.96611286  4.812184 5.087596    5.605802  0.38177502
## X118 -2.3643578 -2.12026354  4.700480 5.030438    5.662960  0.83076041
## X121 -0.4253563 -1.10866262  5.062595 4.682131    5.863631  0.53887915
## X123 -2.0000000 -1.66073121  4.304065 3.610918    4.795791 -0.42552800
## X124 -3.1639778 -0.99425227  4.875197 4.143135    5.010635  0.00000000
## X126 -4.8199434 -2.48891467  4.912655 4.624973    4.983607 -0.19163579
## X128 -1.2025631 -2.31263543  4.962845 4.820282    5.488938  0.95939061
## X129 -5.9056942 -1.89711998  4.624973 3.871201    4.605170 -0.57168558
## X130 -3.7735027 -0.86750057  5.159055 4.564348    5.099866  0.25230466
## X131 -5.0710678 -2.76462055  4.025352 4.488636    5.129899 -0.34523643
## X132 -4.0302269  0.69314718  4.442651 4.369448    5.017280 -0.08443323
## X133 -2.4721360 -0.75502258  4.672829 4.219508    4.859812  0.09396047
## X134 -0.5000000 -1.34707365  4.727388 4.672829    5.602119  0.43837211
## X135 -4.3245553 -2.45340798  4.584967 5.105945    5.257495  0.00000000
## X136 -2.4721360 -0.77652879  4.727388 3.828641    4.110874  0.43837211
## X137 -4.6299354 -1.42711636  4.488636 4.204693    4.976734 -0.01006550
## X139 -3.3452248 -1.34707365  4.543295 3.931826    5.017280 -0.59176325
## X140 -4.0302269 -1.89711998  4.406719 4.465908    5.187386  0.00000000
## X141 -3.1639778 -1.56064775  4.820282 4.890349    5.509388  0.25230466
## X143 -3.5470020  0.33647224  4.574711 3.637586    4.867534  0.00000000
## X144 -3.7735027 -2.04022083  4.276666 4.077537    5.030438  0.49054798
## X145 -5.0272837 -2.46510402  4.276666 4.330733    5.187386 -0.63330256
## X146 -2.1702883 -0.59783700  4.406719 4.430817    4.836282  0.43837211
## X147 -3.7735027 -1.23787436  4.634729 4.867534    5.743003  0.43837211
## X148 -1.7139068 -0.44628710  4.543295 4.276666    5.537334  0.09396047
## X149 -1.7139068 -2.88240359  4.290459 4.382027    4.897840 -0.27188464
## X152 -2.0824829 -0.94160854  4.682131 5.298317    5.634790  0.88578467
## X153 -3.5470020 -0.06187540  4.672829 4.488636    5.323010  0.00000000
## X154 -5.9681907 -1.71479843  3.806662 4.330733    5.442418 -0.36070366
## X155 -5.2547625 -2.47693848  4.442651 4.406719    5.164786 -0.24425708
## X156 -1.1622777 -0.40047757  4.369448 4.653960    5.176150  0.43837211
## X157 -3.1639778 -2.12026354  4.770685 4.356709    5.568345  1.00350156
## X158 -5.1611487 -2.59026717  3.828641 4.634729    4.962845 -0.51401261
## X159 -4.3245553 -2.20727491  4.859812 4.174387    4.941642  0.17742506
## X160 -4.5582584 -1.51412773  4.454347 5.501258    5.564520 -0.07336643
## X161 -5.0710678  0.40546511  5.081404 4.955827    5.361292 -0.69936731
## X162 -3.7735027 -0.63487827  4.406719 4.890349    6.144186 -0.07336643
## X163 -6.6874449 -2.83021784  4.262680 4.143135    5.429346 -0.57168558
## X165 -3.5470020 -2.30258509  4.499810 4.672829    5.484797  0.25230466
## X166 -5.4023321  0.09531018  4.624973 4.499810    5.257495 -0.31512364
## X167 -1.5921060  0.18232156  4.605170 5.283204    5.783825 -0.42552800
## X168 -0.9814240 -2.31263543  4.025352 4.532599    4.962845 -0.42552800
## X169 -2.0000000 -0.38566248  4.465908 4.330733    5.164786  0.00000000
## X170 -2.0000000 -2.61729584  4.499810 3.610918    5.159055 -0.10704332
## X171 -4.9421013 -0.63487827  4.948760 4.700480    5.187386 -0.45985790
## X172 -5.2074997 -3.12356565  4.510860 4.553877    5.318120 -0.65480247
## X174 -1.5921060  1.41098697  4.595120 4.356709    5.176150  0.17742506
## X175 -2.5883147 -0.77652879  4.584967 4.709530    5.323010  0.58384004
## X176 -5.0710678 -2.32278780  5.003946 4.204693    4.934474  0.32004747
## X177 -4.7419986 -2.40794561  4.770685 4.584967    5.375278  0.25230466
## X178 -4.0302269 -3.07911388  4.682131 4.077537    4.820282 -0.82104815
## X179 -2.1884251 -1.07880966  4.983607 4.060443    4.442651 -0.01006550
## X180 -2.0000000 -1.23787436  4.727388 4.553877    5.568345 -0.10704332
## X181 -5.5592895  1.77495235  4.382027 3.555348    4.356709  0.17742506
## X182 -5.0710678 -1.38629436  4.553877 4.510860    5.187386  0.49054798
## X183 -3.7735027 -1.71479843  4.406719 2.833213    4.248495  0.17742506
## X184 -5.4023321  1.06471074  4.653960 4.727388    5.225747  0.38177502
## X185 -4.4549722 -1.42711636  4.948760 4.304065    5.278115  0.49054798
## X186 -5.0272837 -1.60943791  4.304065 4.234107    5.214936 -0.08443323
## X189 -6.0321933 -0.84397007  4.672829 4.867534    5.710427  0.09396047
## X190 -4.0302269 -0.63487827  4.174387 4.521789    5.509388  0.32004747
## X191 -6.8561489 -1.56064775  4.700480 4.158883    5.332719 -0.63330256
## X192 -4.3245553  0.26236426  4.382027 5.056246    5.899897  0.25230466
## X193 -3.5470020 -2.04022083  5.283204 4.543295    5.488938  1.00350156
## X194 -2.8507125 -1.07880966  4.787492 3.663562    4.927254  0.17742506
## X195 -1.1234752 -0.34249031  4.488636 6.011267    5.978886  0.43837211
## X197 -2.2640143 -0.07257069  5.204007 4.753590    5.313206 -0.25795574
## X198 -5.5058663 -2.90042209  4.077537 4.043051    5.288267 -0.82104815
## X200 -4.0302269 -1.34707365  4.812184 4.584967    5.370638  0.00000000
## X201 -3.3452248 -1.46967597  4.204693 3.850148    4.962845 -0.06245326
## X202 -6.6066297 -1.42711636  4.204693 3.912023    5.293305 -0.49558921
## X205 -2.0000000 -0.47803580  4.369448 4.859812    5.332719  0.32004747
## X208 -5.0710678 -1.83258146  4.382027 4.234107    5.379897 -0.27188464
## X210 -3.0000000 -0.21072103  5.241747 4.653960    5.278115  0.53887915
## X212 -4.0302269 -0.96758403  4.644391 3.850148    4.948760 -0.20447735
## X213 -3.0000000 -0.51082562  4.836282 4.488636    5.181784 -0.08443323
## X214 -3.3452248 -1.83258146  4.304065 4.584967    5.093750  1.16610855
## X215 -1.6514837 -2.37515579  4.430817 4.867534    5.676754 -0.39250510
## X216 -4.4549722 -1.46967597  3.663562 3.850148    5.187386  0.25230466
## X218 -2.2640143 -0.18632958  4.204693 3.555348    4.997212  0.66516665
## X219 -5.1611487 -1.71479843  4.787492 4.094345    5.214936 -0.15428707
## X220 -5.8446454 -2.86470401  4.897840 4.691348    5.384495 -0.65480247
## X223 -3.3452248 -0.84397007  4.828314 4.430817    5.583496 -0.51401261
## X224 -5.8446454 -1.66073121  4.304065 4.615121    5.293305  0.00000000
## X225 -5.5058663 -1.10866262  4.394449 5.347108    5.826000  0.17742506
## X226 -3.0000000 -0.89159812  4.442651 5.411646    5.693732  0.43837211
## X227 -3.0000000 -0.91629073  4.077537 4.770685    4.969813  0.00000000
## X228 -1.4299717 -2.81341072  4.553877 3.828641    5.429346 -0.63330256
## X229 -0.4077171 -1.07880966  4.248495 3.663562    4.990433 -0.21752413
## X230 -2.7140452 -1.13943428  4.691348 4.219508    4.499810  0.43837211
## X231 -4.4888568  1.75785792  4.595120 4.158883    4.948760  0.00000000
## X232 -5.3521462 -1.83258146  4.143135 4.043051    4.934474  0.00000000
## X233 -5.3029674 -2.04022083  4.043051 3.433987    5.030438 -0.24425708
## X234 -3.3452248 -1.02976542  4.521789 4.317488    4.890349 -0.61229604
## X236 -4.0302269 -3.17008566  4.382027 4.691348    5.488938 -0.65480247
## X237 -4.0302269  0.09531018  4.574711 4.317488    5.153292 -0.09565753
## X239 -4.0302269 -0.77652879  4.394449 3.044522    4.584967  0.09396047
## X240 -4.0302269  0.74193734  4.442651 3.912023    4.795791 -0.42552800
## X241 -3.7735027 -2.52572864  4.859812 4.919981    5.117994  0.00000000
## X242 -1.7796447 -1.10866262  3.828641 2.833213    4.330733  0.25230466
## X243 -4.6299354 -1.51412773  5.075174 3.526361    4.787492  0.49054798
## X244 -3.7735027 -0.27443685  5.225747 4.454347    5.003946  0.85893499
## X245 -6.4515425 -0.22314355  3.871201 3.044522    4.317488 -0.16654597
## X246 -2.7140452  0.26236426  4.510860 4.094345    5.105945  0.25230466
## X247 -4.7806350 -2.45340798  4.553877 3.850148    5.049856 -0.57168558
## X249 -5.4023321 -1.46553683  4.820282 5.545177    6.102559  0.00000000
## X250 -4.5582584 -2.04022083  4.234107 4.430817    5.093750  0.09396047
## X251 -4.6299354 -1.27296568  4.553877 4.143135    4.779123 -0.55204550
## X253 -2.7140452 -1.96611286  4.962845 4.143135    5.135798  0.58384004
## X254 -2.3643578 -1.60943791  5.411646 5.598422    5.739793  0.09396047
## X255 -2.2640143 -1.46967597  4.875197 4.682131    5.170484  0.09396047
## X256 -6.3770782 -1.20397280  4.859812 4.615121    5.262690 -0.59176325
## X257 -5.7266741 -2.04022083  4.543295 3.931826    4.700480 -0.37645673
## X258 -3.1639778 -0.91629073  4.553877 4.859812    5.549076  0.09396047
## X260 -6.6066297 -1.96611286  4.204693 4.510860    4.844187  0.09396047
## X261 -7.1287093 -2.20727491  4.406719 3.871201    4.948760 -0.07336643
## X262 -5.7266741 -2.33304430  4.077537 3.931826    4.672829 -0.53282641
## X263 -1.2879797 -2.20727491  3.871201 4.663439    5.645447 -0.15428707
## X264 -2.0824829 -0.22314355  5.707110 4.127134    5.267858  0.17742506
## X265 -6.0977633 -2.37515579  3.433987 4.356709    5.214936  0.09396047
## X267 -2.0000000 -1.07880966  4.882802 4.499810    5.739793  0.66516665
## X268 -3.5470020 -0.96758403  4.465908 4.700480    5.525453 -0.47754210
## X269 -5.5058663 -2.93746337  4.624973 4.077537    4.852030 -0.99084860
## X270 -1.8490018 -0.41551544  4.025352 5.030438    5.945421 -0.07336643
## X271 -2.2640143 -1.13943428  4.488636 4.234107    5.616771 -0.02026405
## X272 -4.4216130 -1.46967597  4.564348 4.127134    4.962845 -0.10704332
## X273 -3.0000000 -0.63487827  4.043051 4.532599    5.247024  0.32004747
## X274 -5.6696499  0.33647224  3.970292 4.488636    5.147494 -0.03059880
## X275 -4.0302269 -1.27296568  4.442651 4.867534    5.370638  0.17742506
## X277 -1.7139068 -1.04982212  4.143135 4.356709    5.010635  0.53887915
## X278 -3.1639778 -1.96611286  4.663439 4.394449    5.225747 -0.10704332
## X279 -3.1639778 -2.71810054  4.753590 4.025352    4.976734 -0.13031621
## X281 -3.3452248 -0.76744135  4.276666 4.691348    5.521461  0.70214496
## X282 -3.7735027 -0.93350237  3.828641 3.737670    4.644391  0.38177502
## X283 -4.0302269 -1.30933332  4.477337 5.147494    5.679253  0.43837211
## X287 -3.7735027 -1.66073121  4.454347 4.736198    5.886104  0.09396047
## X289 -5.3029674 -0.28768207  3.951244 3.663562    4.912655 -0.23078200
## X290 -3.5470020 -2.20727491  3.610918 3.828641    5.147494  0.09396047
## X291 -0.9814240 -1.77195684  4.356709 4.828314    5.472271  0.70214496
## X292 -4.0302269 -2.12026354  4.779123 5.003946    5.556828  0.32004747
## X294 -6.0977633 -1.13943428  4.553877 3.295837    5.257495 -0.55204550
## X297 -4.3887656 -1.77195684  4.564348 4.110874    4.663439 -0.16654597
## X298 -5.5058663 -2.04022083  3.951244 3.637586    4.532599  0.00000000
## X299 -5.1156807 -2.04022083  4.927254 4.488636    5.560682  0.09396047
## X301 -4.4549722 -2.32278780  4.356709 4.127134    4.875197 -0.17899381
## X302 -4.0302269 -2.04022083  4.343805 3.218876    4.343805 -0.63330256
## X303 -5.2547625 -1.83258146  4.442651 4.234107    5.288267 -0.20447735
## X304 -3.0000000 -2.35387839  5.111988 5.075174    6.304449  0.62582535
## X305 -3.7735027 -1.46967597  4.682131 4.094345    5.662960  0.73700033
## X306 -4.4216130 -0.77652879  4.595120 4.941642    5.267858  0.38177502
## X307 -3.5470020 -0.71334989  4.779123 4.962845    6.129050  0.85893499
## X308 -6.9442719 -0.84397007  4.595120 4.510860    5.135798  0.09396047
## X311 -3.7735027 -1.77195684  4.770685 4.043051    4.828314 -0.11859478
## X312 -3.7735027 -1.96611286  4.912655 5.075174    5.164786  0.32004747
## X313 -5.0710678 -0.35667494  4.317488 3.688879    5.288267  0.17742506
## X314 -6.5280287 -2.90042209  4.709530 4.406719    5.293305 -0.17899381
## X315 -3.7735027 -1.89711998  4.418841 4.007333    5.093750 -0.09565753
## X316 -5.1611487 -1.60943791  4.290459 4.736198    5.411646  0.25230466
## X317 -4.9421013 -2.12026354  4.653960 4.844187    5.081404 -0.04107298
## X320 -4.6299354 -1.23787436  4.465908 4.007333    4.304065 -0.28605071
## X321 -4.6666667 -1.46967597  3.784190 2.639057    4.454347 -0.10704332
## X322 -0.8867513 -0.77652879  4.912655 4.465908    5.393628  0.49054798
## X323 -3.5470020 -0.35667494  5.135798 4.382027    5.236442  0.32004747
## X324 -6.3045480 -1.13943428  4.875197 4.219508    5.170484  0.25230466
## X325 -4.3245553 -2.40794561  4.488636 4.442651    4.941642  0.85893499
## X326 -3.7735027 -0.38566248  4.510860 4.276666    5.288267  0.09396047
## X327 -0.7472113  0.33647224  4.890349 4.795791    5.236442  0.53887915
## X329 -4.9843030 -2.37515579  4.465908 5.192957    5.416100  0.17742506
## X330 -1.2025631 -0.52763274  4.744932 3.761200    4.488636  0.09396047
## X331 -6.1649658 -1.83258146  4.304065 3.931826    4.762174 -0.09565753
## X332 -3.7735027 -0.77652879  4.189655 3.465736    4.859812  0.17742506
## X333 -5.5058663 -0.63487827  4.465908 5.541264    6.102559 -0.53282641
##         PAPP_A     PLGF      PYY Pancreatic_polypeptide   Prolactin
## X1   -2.902226 4.442651 3.218876             0.57878085  0.00000000
## X2   -2.813276 4.025352 3.135494             0.33647224 -0.51082562
## X3   -2.935541 4.510860 2.890372            -0.89159812 -0.13926207
## X5   -2.935541 4.795791 3.663562             0.26236426  0.18232156
## X6   -2.935541 4.394449 3.332205            -0.47803580 -0.15082289
## X7   -2.590291 3.367296 2.833213            -0.59783700 -0.52763274
## X8   -2.669471 4.343805 2.397895            -0.31471074 -0.35667494
## X9   -2.786601 3.526361 2.833213            -0.52763274  0.40546511
## X11  -2.669471 4.356709 3.258097            -1.27296568  0.40546511
## X12  -2.971157 3.871201 2.995732             1.16315081  0.26236426
## X14  -2.841320 4.330733 2.772589            -0.37106368  0.09531018
## X16  -2.971157 4.189655 2.833213             0.33647224 -0.03045921
## X17  -2.691054 4.219508 2.639057             0.78845736  0.26236426
## X18  -2.841320 4.189655 2.833213            -0.59783700 -0.44628710
## X19  -2.713475 3.784190 2.833213             0.18232156  0.18232156
## X20  -2.813276 4.454347 2.302585            -0.26136476  0.26236426
## X21  -2.813276 4.007333 3.178054             0.69314718  0.18232156
## X22  -2.713475 3.258097 2.833213            -1.23787436 -0.22314355
## X23  -3.110843 4.262680 3.135494            -0.82098055 -0.21072103
## X24  -2.590291 3.465736 2.772589            -0.04082199 -0.05129329
## X25  -2.691054 3.433987 2.890372            -1.27296568 -1.30933332
## X26  -2.902226 3.688879 2.772589             0.09531018  0.18232156
## X28  -3.009464 3.713572 2.772589             0.40546511 -0.23572233
## X29  -2.736812 3.912023 2.995732             0.09531018 -0.10536052
## X30  -2.813276 3.583519 2.995732             0.09531018 -0.13926207
## X31  -2.590291 4.488636 3.218876             0.33647224 -0.10536052
## X34  -2.813276 4.727388 2.397895             0.91629073 -0.13926207
## X35  -3.050970 4.110874 2.833213             0.53062825  0.00000000
## X36  -2.736812 4.499810 2.833213            -0.75502258  0.09531018
## X37  -2.971157 3.912023 2.995732            -0.10536052 -0.03045921
## X38  -2.902226 3.871201 3.178054            -0.63487827  0.18232156
## X39  -2.841320 3.332205 3.367296            -0.71334989 -0.40047757
## X40  -2.761153 3.891820 3.218876            -0.51082562 -0.07230692
## X41  -2.813276 4.094345 2.833213             0.18232156  0.09531018
## X42  -2.902226 4.025352 3.367296            -1.27296568  0.47000363
## X43  -2.971157 3.806662 2.833213             0.00000000  0.40546511
## X44  -2.841320 4.532599 3.135494             0.47000363  0.40546511
## X45  -2.590291 4.143135 2.890372             0.64185389  0.00000000
## X46  -3.110843 4.382027 2.890372            -0.26136476  0.26236426
## X47  -2.971157 3.828641 2.995732             0.18232156  0.00000000
## X48  -2.691054 4.248495 3.496508             0.69314718  0.09531018
## X50  -2.713475 4.127134 3.850148            -0.41551544  0.18232156
## X51  -2.841320 3.295837 2.639057            -0.96758403  0.09531018
## X53  -2.902226 4.007333 3.332205            -0.34249031  0.09531018
## X55  -2.902226 3.871201 3.135494             0.26236426 -0.10536052
## X56  -2.841320 4.290459 2.833213            -0.46203546 -0.07257069
## X57  -2.813276 4.499810 3.295837             1.06471074 -0.13926207
## X59  -2.713475 4.663439 2.995732            -0.32850407  0.33647224
## X60  -2.736812 3.806662 2.833213             0.95551145  0.26236426
## X61  -2.761153 3.931826 3.433987            -0.09431068 -0.40047757
## X62  -3.009464 3.496508 2.708050            -0.73396918 -0.23572233
## X63  -2.628559 4.077537 3.135494             0.91629073 -0.30110509
## X64  -2.813276 4.343805 2.944439             0.83290912 -0.17435339
## X65  -2.971157 3.332205 2.890372             0.83290912 -0.18632958
## X67  -3.009464 3.850148 2.397895            -0.32850407  0.09531018
## X68  -2.691054 3.663562 2.995732             0.26236426  0.09531018
## X69  -2.935541 3.555348 2.995732            -0.16251893 -0.01005034
## X70  -2.935541 3.737670 3.091042             0.26236426 -0.31471074
## X71  -3.068611 4.369448 2.772589             0.40546511 -0.18632958
## X72  -2.813276 4.369448 2.890372            -0.59783700  0.58778666
## X73  -2.786601 4.615121 2.890372             0.26236426  0.99325177
## X74  -2.813276 3.871201 3.091042             0.53062825 -0.06187540
## X75  -2.935541 4.605170 2.833213             0.69314718  0.09531018
## X76  -2.813276 4.043051 3.135494             1.02961942 -0.26136476
## X77  -2.761153 3.761200 3.044522             0.83290912  0.69314718
## X78  -2.935541 4.418841 2.639057             1.52605630  0.18232156
## X80  -2.902226 3.891820 3.401197             0.33647224  0.09531018
## X81  -3.009464 4.189655 3.178054            -0.63487827  0.26236426
## X82  -2.761153 3.135494 2.995732             0.09531018  0.26236426
## X83  -2.971157 3.970292 3.178054            -0.40047757  0.18232156
## X84  -2.935541 3.871201 2.772589            -0.63487827 -0.02020271
## X85  -2.935541 3.761200 3.135494            -0.32850407 -0.17435339
## X86  -2.870902 4.317488 3.496508             1.93152141 -0.09431068
## X88  -2.669471 4.634729 3.465736             0.47000363 -0.06187540
## X90  -2.902226 3.555348 2.397895            -0.40047757 -0.75502258
## X93  -2.902226 3.761200 2.833213             0.18232156 -0.26136476
## X94  -2.902226 4.844187 3.218876             1.25276297  0.18232156
## X95  -2.736812 3.806662 3.367296             0.47000363  0.18232156
## X96  -3.068611 3.713572 3.332205            -0.79850770 -0.05129329
## X97  -2.971157 3.218876 2.772589            -0.67334455 -0.22314355
## X98  -2.870902 3.496508 2.995732            -1.02165125  0.33647224
## X99  -3.033945 4.465908 2.708050             0.91629073  0.53062825
## X100 -2.870902 3.828641 3.295837            -0.23572233  0.00000000
## X103 -2.841320 4.382027 2.564949            -0.19845094  0.00000000
## X104 -2.870902 3.891820 2.639057             0.26236426 -0.15082289
## X105 -2.648659 3.044522 3.044522             0.26236426 -0.19845094
## X107 -2.841320 3.332205 3.178054            -0.16251893  0.26236426
## X108 -2.590291 3.713572 2.833213            -0.03045921 -0.22314355
## X109 -3.110843 3.433987 3.044522            -0.71334989  0.18232156
## X110 -2.813276 3.713572 2.833213            -2.12026354 -0.30110509
## X111 -2.870902 3.784190 2.833213            -0.40047757  0.00000000
## X112 -2.713475 3.951244 2.995732             1.64865863 -0.21072103
## X113 -2.761153 4.595120 2.890372             0.69314718  0.09531018
## X114 -3.101129 3.526361 2.772589            -0.73396918  0.33647224
## X115 -2.648659 4.465908 2.708050             1.09861229 -0.16251893
## X117 -2.590291 3.784190 3.091042             0.18232156 -0.11653382
## X118 -2.648659 3.988984 3.583519            -1.27296568  0.09531018
## X121 -3.082278 4.330733 2.708050             0.18232156  0.26236426
## X123 -2.761153 3.526361 3.218876            -0.23572233  0.33647224
## X124 -2.609119 4.094345 3.258097             0.09531018  0.26236426
## X126 -2.786601 3.465736 2.995732            -0.52763274  0.09531018
## X128 -2.902226 3.828641 3.178054             0.47000363  0.26236426
## X129 -2.935541 3.433987 2.833213            -0.75502258 -0.07257069
## X130 -2.902226 4.143135 3.367296             0.58778666  0.40546511
## X131 -3.013461 2.995732 2.772589             0.78845736  0.00000000
## X132 -2.813276 3.806662 2.833213            -0.31471074 -0.23572233
## X133 -2.736812 4.204693 2.833213            -0.52763274 -0.08338161
## X134 -2.736812 4.204693 3.178054             1.25276297  0.00000000
## X135 -2.761153 3.637586 2.833213            -0.31471074 -0.27443685
## X136 -2.971157 4.094345 3.091042             0.69314718  0.91629073
## X137 -2.870902 4.094345 3.135494            -0.34249031  0.00000000
## X139 -2.870902 3.761200 3.526361            -0.47803580  0.26236426
## X140 -2.609119 3.828641 3.091042             1.19392247  0.33647224
## X141 -2.870902 3.332205 2.890372             0.18232156  0.09531018
## X143 -2.609119 4.317488 2.833213             0.99325177 -0.30110509
## X144 -2.902226 3.610918 3.178054             0.58778666 -0.04082199
## X145 -2.870902 3.295837 2.995732            -0.86750057  0.00000000
## X146 -2.813276 3.663562 2.186051             1.33500107 -0.09431068
## X147 -3.009464 3.496508 2.890372             0.78845736 -0.27443685
## X148 -2.870902 4.189655 2.639057             0.00000000 -0.18632958
## X149 -2.813276 3.761200 3.044522            -1.10866262 -0.12783337
## X152 -2.691054 4.488636 2.890372             1.13140211 -0.22314355
## X153 -2.648659 4.158883 2.995732             0.64185389 -0.07257069
## X154 -2.935541 3.496508 3.218876            -0.71334989 -0.02020271
## X155 -2.902226 3.784190 3.332205            -0.86750057  0.09531018
## X156 -2.870902 4.262680 3.044522            -0.26136476  0.18232156
## X157 -2.813276 4.304065 2.995732             0.26236426  0.33647224
## X158 -2.813276 4.077537 2.890372            -0.96758403 -0.01005034
## X159 -2.935541 4.043051 3.044522             0.18232156 -0.07257069
## X160 -2.902226 3.828641 3.332205             0.33647224  0.18232156
## X161 -2.870902 4.025352 3.135494            -1.27296568  0.18232156
## X162 -2.841320 3.367296 3.806662            -0.40047757  0.40546511
## X163 -2.935541 2.944439 3.465736            -0.96758403 -0.03045921
## X165 -2.971157 3.218876 2.890372            -1.07880966 -0.21072103
## X166 -2.841320 3.737670 2.944439            -0.23572233 -0.35667494
## X167 -2.691054 3.401197 2.944439            -1.34707365  0.00000000
## X168 -2.870902 3.610918 2.833213            -0.82098055  0.00000000
## X169 -3.017491 3.737670 3.178054            -0.47803580  0.18232156
## X170 -2.841320 3.737670 2.890372            -0.61618614  0.26236426
## X171 -2.786601 3.367296 3.526361            -0.09431068 -0.03045921
## X172 -2.813276 3.526361 3.218876            -0.16251893  0.53062825
## X174 -2.870902 4.624973 2.995732             0.83290912  0.53062825
## X175 -3.136040 3.850148 3.135494             0.33647224 -0.21072103
## X176 -2.971157 4.762174 2.708050             0.64185389  0.33647224
## X177 -2.841320 4.007333 2.397895            -0.16251893 -0.15082289
## X178 -2.971157 3.433987 2.995732            -0.99425227  0.18232156
## X179 -2.761153 4.077537 2.890372            -0.34249031  0.09531018
## X180 -2.971157 4.007333 2.833213             0.58194114  0.26236426
## X181 -2.902226 3.610918 2.833213            -0.47803580 -0.22314355
## X182 -2.713475 3.761200 3.091042            -0.09431068  0.00000000
## X183 -2.870902 4.077537 2.772589            -1.42711636  0.25361982
## X184 -2.669471 4.143135 2.639057            -0.31471074  0.09531018
## X185 -2.902226 4.007333 2.995732             0.78845736 -0.15082289
## X186 -3.033945 3.806662 2.944439             0.64185389  0.18232156
## X189 -2.971157 2.484907 2.890372             1.56861592 -0.09431068
## X190 -2.902226 3.583519 2.833213            -0.40047757 -0.06187540
## X191 -2.870902 4.077537 2.833213            -1.96611286 -0.67334455
## X192 -2.935541 3.295837 2.397895             1.30833282 -0.51082562
## X193 -2.813276 4.836282 2.708050             0.87546874 -0.16251893
## X194 -2.713475 3.713572 3.295837            -0.52763274  0.26236426
## X195 -3.009464 4.234107 3.135494            -0.46203546  0.00000000
## X197 -2.971157 3.713572 3.044522            -0.23572233  0.00000000
## X198 -2.609119 2.995732 3.295837            -1.23787436  0.18232156
## X200 -2.870902 3.496508 3.610918            -0.49429632 -0.16251893
## X201 -2.971157 4.127134 3.044522            -0.23572233 -0.46203546
## X202 -2.841320 3.091042 3.433987            -0.86750057  0.26236426
## X205 -2.736812 4.499810 3.218876            -0.41551544 -0.18632958
## X208 -2.935541 3.737670 2.397895             0.00000000 -0.27443685
## X210 -2.761153 4.394449 3.332205             0.47000363  0.18232156
## X212 -3.050970 3.850148 2.833213             1.93152141  0.40546511
## X213 -3.033945 3.737670 2.995732             1.19392247  0.33647224
## X214 -2.902226 4.219508 2.833213             0.87546874 -0.06187540
## X215 -2.935541 3.218876 3.367296             0.47000363 -0.28768207
## X216 -2.786601 4.189655 3.044522            -0.31471074 -0.01005034
## X218 -2.713475 4.234107 3.135494            -0.01005034  0.09531018
## X219 -2.971157 3.610918 3.295837             0.87546874 -0.40047757
## X220 -2.971157 3.970292 2.995732            -0.37106368  0.33647224
## X223 -2.935541 3.218876 3.091042             0.91629073 -0.12783337
## X224 -2.786601 3.496508 2.708050            -0.73396918 -0.41551544
## X225 -2.841320 3.806662 3.044522            -0.49429632 -0.46203546
## X226 -3.009464 3.401197 2.639057             0.18232156  0.00000000
## X227 -2.902226 4.127134 3.332205             1.19392247 -0.05129329
## X228 -2.935541 3.806662 2.833213            -0.31471074 -0.27443685
## X229 -3.009464 3.850148 3.178054            -0.73396918 -0.13926207
## X230 -3.179436 4.276666 2.890372             1.62924054 -0.05129329
## X231 -2.902226 4.330733 3.332205            -0.67334455  0.33647224
## X232 -2.736812 4.077537 3.218876            -0.40047757 -0.17435339
## X233 -2.813276 4.127134 2.639057            -0.63487827  0.18232156
## X234 -2.736812 3.828641 2.944439             0.74193734 -0.01005034
## X236 -3.009464 3.295837 3.178054            -0.94160854  0.09531018
## X237 -3.120760 4.060443 3.135494             1.09861229 -0.11653382
## X239 -2.971157 3.806662 3.091042            -0.16251893  0.09531018
## X240 -2.713475 3.784190 3.091042             0.18232156 -0.18632958
## X241 -2.935541 3.258097 2.708050            -0.31471074  0.58778666
## X242 -3.310880 4.208969 2.833213             0.99325177  0.09531018
## X243 -3.068611 4.219508 2.995732            -0.02020271 -0.54472718
## X244 -2.870902 4.060443 2.995732             0.74193734  0.53062825
## X245 -2.935541 3.850148 3.135494            -0.40047757 -0.47803580
## X246 -2.691054 3.988984 3.218876             0.58778666  0.09531018
## X247 -2.691054 3.828641 3.044522            -0.16251893  0.26236426
## X249 -2.736812 3.465736 2.484907            -1.07880966  0.18232156
## X250 -3.009464 4.110874 2.890372            -0.82098055  0.18232156
## X251 -2.971157 3.737670 2.944439             0.09531018  0.09531018
## X253 -3.120760 4.644391 3.218876             0.33647224 -0.26136476
## X254 -2.786601 4.025352 2.995732            -0.59783700  0.69314718
## X255 -2.870902 4.060443 3.367296            -0.63487827  0.33647224
## X256 -2.971157 3.367296 3.295837             0.53062825 -0.03045921
## X257 -2.870902 3.737670 3.688879            -0.09431068  0.47000363
## X258 -2.713475 4.317488 3.135494             0.33647224  0.09531018
## X260 -2.648659 3.713572 2.833213            -0.69314718  0.09531018
## X261 -3.136040 3.713572 3.295837             0.00000000  0.26236426
## X262 -2.669471 3.713572 3.044522            -0.69314718 -0.06187540
## X263 -2.870902 3.871201 3.135494            -1.13943428 -0.02020271
## X264 -2.813276 4.382027 2.833213             0.60449978  0.18232156
## X265 -2.786601 3.784190 2.639057             0.91629073 -0.09431068
## X267 -2.786601 4.234107 2.639057             0.83290912  0.09531018
## X268 -2.935541 3.555348 3.044522             0.40546511  0.26236426
## X269 -2.648659 3.737670 2.995732            -1.42711636 -0.08338161
## X270 -2.902226 3.737670 2.397895            -0.47803580  0.18232156
## X271 -2.609119 5.170484 3.433987            -0.23572233  0.00000000
## X272 -2.841320 3.218876 2.833213            -0.23572233  0.47000363
## X273 -2.609119 4.110874 3.295837             0.09531018 -0.43078292
## X274 -2.841320 3.555348 2.833213            -1.13943428 -0.49429632
## X275 -2.935541 3.433987 3.401197            -0.49429632 -0.40047757
## X277 -2.841320 4.110874 2.639057             0.53062825  0.33647224
## X278 -2.648659 3.871201 2.708050             0.18232156  0.09531018
## X279 -2.971157 3.091042 2.772589            -0.94160854 -0.01005034
## X281 -2.841320 4.499810 3.178054             0.18232156 -0.06187540
## X282 -3.068611 3.931826 2.890372             0.33647224  0.09531018
## X283 -2.554309 3.850148 3.135494             0.58778666 -0.13926207
## X287 -3.033945 3.610918 3.135494             0.26236426  0.18232156
## X289 -2.736812 4.158883 2.833213            -0.59783700  0.09531018
## X290 -2.870902 4.510860 3.091042             0.33647224  0.53062825
## X291 -2.935541 3.850148 3.044522            -0.10536052  0.18232156
## X292 -2.520328 3.610918 3.465736            -0.23572233  0.09531018
## X294 -2.971157 4.094345 2.708050            -1.02165125 -0.59783700
## X297 -2.971157 3.912023 2.995732             0.74193734  0.64185389
## X298 -2.713475 4.510860 2.772589             0.09531018  0.74193734
## X299 -2.691054 3.465736 3.332205            -0.94160854  0.91629073
## X301 -2.669471 3.828641 2.708050            -0.41551544  0.18232156
## X302 -2.648659 3.526361 3.091042            -0.86750057 -0.10536052
## X303 -2.628559 4.127134 2.639057            -0.16251893 -0.22314355
## X304 -2.841320 4.304065 3.367296             0.18232156  0.26236426
## X305 -2.669471 4.477337 3.135494             0.09531018 -0.06187540
## X306 -2.902226 4.219508 3.496508             0.18232156  0.26236426
## X307 -2.841320 4.110874 3.610918             0.99325177 -0.04082199
## X308 -2.786601 3.637586 3.295837             0.99325177 -0.02020271
## X311 -2.971157 4.174387 2.944439            -0.41551544  0.40546511
## X312 -3.196833 4.025352 3.931826             0.78845736 -0.43078292
## X313 -2.648659 4.127134 3.433987             0.00000000  0.18232156
## X314 -2.609119 3.555348 3.295837            -0.96758403  0.18232156
## X315 -2.935541 3.931826 2.995732            -0.16251893  0.91629073
## X316 -2.935541 3.784190 2.833213             0.09531018  0.09531018
## X317 -3.068611 3.295837 3.135494            -0.34249031  0.26236426
## X320 -2.786601 3.784190 3.761200             0.40546511 -0.11653382
## X321 -3.009464 4.043051 3.044522             0.26236426  0.40546511
## X322 -2.971157 4.454347 3.135494            -0.52763274  0.33647224
## X323 -2.813276 4.158883 3.367296             0.53062825  0.18232156
## X324 -3.009464 3.663562 3.044522             0.58778666 -0.04082199
## X325 -2.902226 4.234107 2.397895             0.78845736  0.64185389
## X326 -2.628559 3.135494 2.995732            -0.04082199  0.09531018
## X327 -3.033945 4.304065 2.639057             0.78845736  0.33647224
## X329 -3.157227 4.330733 2.708050             0.33647224  0.00000000
## X330 -2.902226 4.317488 3.178054             0.78845736  0.47000363
## X331 -3.091611 3.610918 3.218876            -0.96758403  0.47000363
## X332 -2.648659 4.276666 2.833213            -1.34707365  0.26236426
## X333 -2.609119 3.583519 2.944439            -0.52763274 -0.30110509
##      Prostatic_Acid_Phosphatase Protein_S Pulmonary_and_Activation_Regulat
## X1                    -1.620527 -1.784998                       -0.8439701
## X2                    -1.739232 -2.463991                       -2.3025851
## X3                    -1.636682 -2.259135                       -1.6607312
## X5                    -1.696685 -1.659842                       -0.5621189
## X6                    -1.755051 -2.357788                       -1.1711830
## X7                    -1.659412 -2.259135                       -1.5606477
## X8                    -1.724319 -2.081112                       -1.1086626
## X9                    -1.763357 -2.167156                       -1.6607312
## X11                   -1.690161 -2.081112                       -1.2039728
## X12                   -1.710172 -2.259135                       -0.8439701
## X14                   -1.548336 -2.081112                       -1.0498221
## X16                   -1.631218 -2.463991                       -1.0216512
## X17                   -1.677510 -2.000377                       -1.0498221
## X18                   -1.710172 -2.703458                       -2.2072749
## X19                   -1.636682 -2.357788                       -0.5798185
## X20                   -1.631218 -1.852753                       -1.1711830
## X21                   -1.724319 -2.259135                       -1.1394343
## X22                   -1.677510 -2.357788                       -1.9661129
## X23                   -1.671366 -2.578792                       -2.0402208
## X24                   -1.696685 -2.357788                       -1.3862944
## X25                   -1.755051 -2.578792                       -2.1202635
## X26                   -1.665336 -2.357788                       -1.8971200
## X28                   -1.677510 -2.000377                       -1.7719568
## X29                   -1.677510 -2.839536                       -1.8325815
## X30                   -1.615292 -2.703458                       -1.8971200
## X31                   -1.665336 -1.852753                       -1.6094379
## X34                   -1.659412 -2.167156                       -1.2039728
## X35                   -1.671366 -2.000377                       -0.9942523
## X36                   -1.659412 -1.720797                       -0.7985077
## X37                   -1.620527 -2.463991                       -1.8971200
## X38                   -1.696685 -2.167156                       -1.5141277
## X39                   -1.671366 -2.463991                       -2.2072749
## X40                   -1.647864 -2.167156                       -2.1202635
## X41                   -1.677510 -2.000377                       -1.1394343
## X42                   -1.647864 -2.259135                       -0.8915981
## X43                   -1.665336 -2.357788                       -0.9942523
## X44                   -1.659412 -2.259135                       -1.8325815
## X45                   -1.724319 -1.784998                       -1.0498221
## X46                   -1.696685 -2.081112                       -1.2729657
## X47                   -1.717157 -2.463991                       -1.2039728
## X48                   -1.755051 -2.000377                       -1.8325815
## X50                   -1.747018 -2.081112                       -1.3862944
## X51                   -1.843795 -2.357788                       -2.2072749
## X53                   -1.585271 -2.357788                       -1.2378744
## X55                   -1.690161 -2.357788                       -1.9661129
## X56                   -1.683772 -1.852753                       -1.6607312
## X57                   -1.690161 -1.924411                       -0.2744368
## X59                   -1.671366 -2.000377                       -1.1711830
## X60                   -1.755051 -3.338046                       -1.5606477
## X61                   -1.724319 -2.703458                       -1.3862944
## X62                   -1.653590 -2.703458                       -1.9661129
## X63                   -1.575736 -2.578792                       -1.1394343
## X64                   -1.647864 -2.000377                       -0.6161861
## X65                   -1.739232 -2.463991                       -1.9661129
## X67                   -1.683772 -2.357788                       -0.6539265
## X68                   -1.817791 -2.167156                       -0.3011051
## X69                   -1.755051 -3.154089                       -1.6094379
## X70                   -1.755051 -2.463991                       -1.8971200
## X71                   -1.671366 -2.000377                       -1.4696760
## X72                   -1.690161 -1.395242                       -0.5447272
## X73                   -1.595031 -1.924411                       -1.5141277
## X74                   -1.710172 -2.357788                       -1.6094379
## X75                   -1.690161 -1.924411                       -0.7765288
## X76                   -1.600000 -1.720797                       -1.4696760
## X77                   -1.631218 -2.167156                       -1.5606477
## X78                   -1.610128 -1.262002                       -0.7985077
## X80                   -1.665336 -2.259135                       -1.5141277
## X81                   -1.631218 -2.259135                       -1.2378744
## X82                   -1.724319 -2.578792                       -2.2072749
## X83                   -1.585271 -2.081112                       -0.4942963
## X84                   -1.659412 -2.357788                       -1.3862944
## X85                   -1.671366 -2.000377                       -0.9416085
## X86                   -1.610128 -1.546611                       -1.2039728
## X88                   -1.677510 -1.720797                       -0.7550226
## X90                   -1.790238 -3.154089                       -0.8439701
## X93                   -1.755051 -2.000377                       -1.5606477
## X94                   -1.642229 -1.220997                       -0.5108256
## X95                   -1.665336 -2.167156                       -1.9661129
## X96                   -1.690161 -2.357788                       -1.7719568
## X97                   -1.710172 -2.578792                       -2.5010360
## X98                   -1.790238 -2.703458                       -1.8971200
## X99                   -1.690161 -2.259135                       -1.2729657
## X100                  -1.659412 -2.357788                       -1.7719568
## X103                  -1.731672 -2.000377                       -1.6607312
## X104                  -1.653590 -2.259135                       -1.6607312
## X105                  -1.671366 -2.167156                       -2.5133061
## X107                  -1.731672 -2.463991                       -1.2729657
## X108                  -1.665336 -2.000377                       -1.8325815
## X109                  -1.933668 -3.338046                       -2.1202635
## X110                  -1.710172 -2.988944                       -1.6094379
## X111                  -1.710172 -2.357788                       -2.0402208
## X112                  -1.653590 -1.852753                       -0.6161861
## X113                  -1.600000 -1.720797                       -1.3862944
## X114                  -1.739232 -2.703458                       -1.5141277
## X115                  -1.747018 -2.000377                       -0.7133499
## X117                  -1.710172 -2.357788                       -2.0402208
## X118                  -1.636682 -2.259135                       -1.7719568
## X121                  -1.647864 -2.081112                       -1.2039728
## X123                  -1.790238 -2.578792                       -1.6094379
## X124                  -1.631218 -2.167156                       -1.7147984
## X126                  -1.647864 -2.463991                       -1.6094379
## X128                  -1.590122 -1.720797                       -1.5606477
## X129                  -1.717157 -2.578792                       -1.3470736
## X130                  -1.677510 -2.000377                       -1.3093333
## X131                  -1.690161 -2.578792                       -1.3862944
## X132                  -1.710172 -2.167156                       -1.5141277
## X133                  -1.771965 -1.924411                       -1.7147984
## X134                  -1.755051 -2.000377                       -0.7985077
## X135                  -1.739232 -2.357788                       -1.7719568
## X136                  -1.763357 -2.578792                       -1.7719568
## X137                  -1.703352 -2.703458                       -1.8325815
## X139                  -1.696685 -2.839536                       -1.0498221
## X140                  -1.710172 -2.259135                       -1.9661129
## X141                  -1.690161 -2.081112                       -1.8971200
## X143                  -1.724319 -2.081112                       -1.1086626
## X144                  -1.755051 -2.578792                       -1.4696760
## X145                  -1.815609 -2.703458                       -2.1202635
## X146                  -1.677510 -1.852753                       -1.3862944
## X147                  -1.690161 -2.081112                       -1.9661129
## X148                  -1.631218 -1.852753                       -0.5447272
## X149                  -1.696685 -2.703458                       -1.3093333
## X152                  -1.571048 -2.167156                       -0.9675840
## X153                  -1.696685 -1.443483                       -0.8209806
## X154                  -1.703352 -2.578792                       -1.6607312
## X155                  -1.710172 -2.259135                       -1.6607312
## X156                  -1.610128 -1.924411                       -1.2729657
## X157                  -1.710172 -2.167156                       -1.5141277
## X158                  -1.690161 -2.578792                       -2.0402208
## X159                  -1.653590 -2.259135                       -1.3862944
## X160                  -1.703352 -2.081112                       -1.8971200
## X161                  -1.590122 -1.924411                       -1.0216512
## X162                  -1.642229 -2.357788                       -1.8325815
## X163                  -1.690161 -2.703458                       -2.3025851
## X165                  -1.653590 -2.463991                       -2.3025851
## X166                  -1.671366 -2.578792                       -1.7719568
## X167                  -1.615292 -2.259135                       -1.3470736
## X168                  -1.631218 -2.357788                       -1.2039728
## X169                  -1.690161 -2.578792                       -1.3470736
## X170                  -1.690161 -2.259135                       -1.5606477
## X171                  -1.659412 -1.720797                       -1.0498221
## X172                  -1.696685 -2.578792                       -1.7719568
## X174                  -1.575736 -1.659842                       -0.7339692
## X175                  -1.665336 -1.852753                       -1.5141277
## X176                  -1.600000 -2.463991                       -0.7985077
## X177                  -1.690161 -2.259135                       -1.5606477
## X178                  -1.696685 -2.703458                       -1.1711830
## X179                  -1.600000 -1.493883                       -1.3862944
## X180                  -1.771965 -2.167156                       -1.2729657
## X181                  -1.710172 -2.703458                       -1.0216512
## X182                  -1.724319 -2.357788                       -1.5141277
## X183                  -1.755051 -2.000377                       -2.4304185
## X184                  -1.690161 -2.259135                       -1.2729657
## X185                  -1.683772 -2.081112                       -0.7133499
## X186                  -1.710172 -2.463991                       -1.6607312
## X189                  -1.696685 -2.578792                       -2.0402208
## X190                  -1.817791 -2.167156                       -0.9942523
## X191                  -1.710172 -2.357788                       -1.7719568
## X192                  -1.642229 -2.081112                       -1.9661129
## X193                  -1.671366 -1.852753                       -1.3862944
## X194                  -1.653590 -2.357788                       -1.5141277
## X195                  -1.585271 -2.167156                       -1.8325815
## X197                  -1.690161 -2.000377                       -1.5606477
## X198                  -1.724319 -2.578792                       -1.8971200
## X200                  -1.696685 -2.703458                       -2.3538784
## X201                  -1.665336 -2.357788                       -0.8915981
## X202                  -1.677510 -2.988944                       -1.6094379
## X205                  -1.763357 -2.167156                       -1.6607312
## X208                  -1.724319 -2.259135                       -1.5141277
## X210                  -1.665336 -2.167156                       -1.8325815
## X212                  -1.696685 -2.578792                       -2.2072749
## X213                  -1.530958 -2.081112                       -1.5141277
## X214                  -1.486191 -2.081112                       -1.1394343
## X215                  -1.755051 -2.463991                       -1.2378744
## X216                  -1.647864 -2.167156                       -1.3470736
## X218                  -1.724319 -2.000377                       -0.8675006
## X219                  -1.683772 -2.463991                       -1.3862944
## X220                  -1.590122 -2.463991                       -1.4271164
## X223                  -1.615292 -2.463991                       -1.4696760
## X224                  -1.642229 -2.578792                       -1.9661129
## X225                  -1.610128 -2.259135                       -2.3859667
## X226                  -1.690161 -2.357788                       -1.3862944
## X227                  -1.710172 -1.659842                       -1.7719568
## X228                  -1.739232 -2.463991                       -2.0402208
## X229                  -1.771965 -2.463991                       -1.8325815
## X230                  -1.710172 -1.924411                       -0.7133499
## X231                  -1.690161 -2.357788                       -1.7719568
## X232                  -1.724319 -2.357788                       -1.8325815
## X233                  -1.755051 -2.703458                       -1.6094379
## X234                  -1.696685 -1.720797                       -2.0402208
## X236                  -1.747018 -2.703458                       -2.2072749
## X237                  -1.647864 -1.924411                       -1.4271164
## X239                  -1.710172 -2.839536                       -1.4271164
## X240                  -1.659412 -2.463991                       -1.4696760
## X241                  -1.665336 -2.357788                       -2.1202635
## X242                  -1.631218 -1.262002                       -1.8325815
## X243                  -1.683772 -2.357788                       -1.0498221
## X244                  -1.600000 -2.081112                       -1.5141277
## X245                  -1.771965 -2.988944                       -1.0788097
## X246                  -1.696685 -1.924411                       -1.1086626
## X247                  -1.724319 -2.578792                       -1.5606477
## X249                  -1.717157 -2.259135                       -1.7147984
## X250                  -1.696685 -2.463991                       -1.7147984
## X251                  -1.671366 -2.259135                       -1.7719568
## X253                  -1.590122 -2.000377                       -0.8915981
## X254                  -1.605032 -1.546611                       -1.3862944
## X255                  -1.647864 -1.852753                       -1.4271164
## X256                  -1.747018 -2.578792                       -1.9661129
## X257                  -1.763357 -2.463991                       -1.4696760
## X258                  -1.671366 -1.784998                       -0.6539265
## X260                  -1.615292 -2.081112                       -1.1711830
## X261                  -1.717157 -2.703458                       -1.6607312
## X262                  -1.683772 -2.839536                       -2.2072749
## X263                  -1.780911 -1.852753                       -2.0402208
## X264                  -1.590122 -1.784998                       -1.0788097
## X265                  -1.739232 -2.463991                       -1.7147984
## X267                  -1.665336 -1.852753                       -1.7147984
## X268                  -1.677510 -2.357788                       -1.6094379
## X269                  -1.665336 -2.578792                       -1.3470736
## X270                  -1.690161 -2.357788                       -1.7147984
## X271                  -1.710172 -1.852753                       -0.7550226
## X272                  -1.631218 -2.259135                       -1.5606477
## X273                  -1.575736 -2.000377                       -1.1086626
## X274                  -1.717157 -2.463991                       -1.8325815
## X275                  -1.659412 -2.357788                       -1.6094379
## X277                  -1.677510 -2.357788                       -1.4271164
## X278                  -1.739232 -2.081112                       -1.7147984
## X279                  -1.710172 -2.703458                       -1.6094379
## X281                  -1.717157 -2.000377                       -1.3862944
## X282                  -1.690161 -2.081112                       -1.5141277
## X283                  -1.642229 -1.852753                       -1.7719568
## X287                  -1.690161 -2.259135                       -2.2072749
## X289                  -1.703352 -2.703458                       -1.9661129
## X290                  -1.763357 -2.463991                       -1.8971200
## X291                  -1.620527 -2.259135                       -0.7133499
## X292                  -1.423806 -1.546611                       -1.4271164
## X294                  -1.739232 -2.703458                       -1.0216512
## X297                  -1.717157 -2.167156                       -1.7147984
## X298                  -1.703352 -2.167156                       -1.3862944
## X299                  -1.671366 -2.000377                       -1.6607312
## X301                  -1.731672 -2.357788                       -1.8971200
## X302                  -1.771965 -2.703458                       -1.3862944
## X303                  -1.739232 -2.081112                       -1.2039728
## X304                  -1.671366 -2.167156                       -1.9661129
## X305                  -1.710172 -1.784998                       -1.5141277
## X306                  -1.724319 -1.659842                       -0.5447272
## X307                  -1.595031 -1.924411                       -1.4696760
## X308                  -1.631218 -2.259135                       -1.7147984
## X311                  -1.747018 -2.000377                       -1.1394343
## X312                  -1.683772 -2.167156                       -1.3470736
## X313                  -1.690161 -2.259135                       -1.9661129
## X314                  -1.724319 -2.578792                       -2.3434071
## X315                  -1.677510 -2.167156                       -1.2729657
## X316                  -1.690161 -2.463991                       -2.1202635
## X317                  -1.659412 -2.259135                       -1.7719568
## X320                  -1.671366 -1.659842                       -1.0788097
## X321                  -1.813452 -2.357788                       -1.8971200
## X322                  -1.731672 -1.546611                       -0.9942523
## X323                  -1.690161 -2.259135                       -1.2729657
## X324                  -1.620527 -2.357788                       -1.8971200
## X325                  -1.710172 -2.167156                       -1.7147984
## X326                  -1.665336 -2.463991                       -1.5141277
## X327                  -1.600000 -1.601860                       -0.8915981
## X329                  -1.717157 -2.357788                       -1.4271164
## X330                  -1.724319 -1.720797                       -1.5141277
## X331                  -1.771965 -2.578792                       -1.7147984
## X332                  -1.690161 -2.259135                       -1.0216512
## X333                  -1.642229 -2.167156                       -1.8971200
##         RANTES   Resistin     S100b        SGOT      SHBG      SOD
## X1   -6.214608 -16.475315 1.5618560 -0.94160854 -1.897120 5.609472
## X2   -6.938214 -16.025283 1.7566212 -0.65392647 -1.560648 5.814131
## X3   -6.645391 -16.475315 1.4357282  0.33647224 -2.207275 5.723585
## X5   -6.319969 -11.092838 1.3012972  0.09531018 -2.430418 5.655992
## X6   -6.502290 -11.291369 1.0546073 -0.31471074 -2.645075 4.543295
## X7   -6.812445 -20.660678 1.3012972 -0.69314718 -3.123566 5.509388
## X8   -6.377127  -6.048172 1.0546073 -0.15082289 -2.396896 4.532599
## X9   -6.502290 -28.434991 1.0011977 -0.51082562 -1.714798 4.941642
## X11  -6.502290 -11.291369 1.7566212 -0.06187540 -1.560648 5.488938
## X12  -6.571283 -14.824999 1.5206598 -0.31471074 -2.312635 5.129899
## X14  -6.214608 -16.954608 1.5206598 -0.75502258 -2.577022 5.262690
## X16  -6.032287 -15.202379 1.1570961 -0.10536052 -1.108663 5.605802
## X17  -6.265901 -10.901667 1.5206598 -0.91629073 -2.207275 5.030438
## X18  -6.812445 -24.395099 1.1065417 -0.44628710 -2.813411 4.882802
## X19  -6.165818 -16.475315 0.5751964 -1.27296568 -2.207275 4.584967
## X20  -5.914504 -10.717434 1.5206598 -0.17435339 -2.847312 5.424950
## X21  -6.502290 -14.824999 0.7704814 -0.26136476 -2.353878 5.262690
## X22  -6.032287 -32.139553 1.1570961 -0.30110509 -3.688879 6.045005
## X23  -6.502290 -16.954608 1.7566212 -0.40047757 -2.900422 5.262690
## X24  -6.645391 -22.351393 1.5618560 -0.77652879 -3.244194 5.834811
## X25  -6.812445 -23.322142 1.3471128 -0.52763274 -1.897120 5.023881
## X26  -6.571283 -13.807280 1.5206598 -0.34249031 -2.441847 5.468060
## X28  -6.502290 -19.235033 1.3012972  0.09531018 -2.207275 5.468060
## X29  -6.725434 -24.395099 0.8309909 -0.52763274 -3.611918 4.779123
## X30  -6.980326 -22.351393 1.0011977 -0.73396918 -2.207275 4.941642
## X31  -6.502290 -18.014017 1.2063562 -0.24846136 -2.430418 5.192957
## X34  -6.571283 -18.014017 0.8895156 -0.57981850 -3.015935 5.062595
## X35  -6.725434 -15.202379 1.4357282 -0.40047757 -2.813411 4.859812
## X36  -6.502290 -14.467762 1.3012972 -0.71334989 -2.040221 5.442418
## X37  -6.502290 -16.025283 1.4786312 -0.24846136 -2.040221 5.521461
## X38  -6.377127 -26.925298 1.0011977 -0.22314355 -2.563950 5.327876
## X39  -6.907755 -23.322142 1.5618560 -0.51082562 -2.501036 5.634790
## X40  -6.812445 -18.601960 1.0546073 -0.69314718 -1.771957 5.342334
## X41  -6.502290  -8.576675 1.3919052 -0.71334989 -1.609438 5.010635
## X42  -6.377127 -16.954608 0.8309909  0.09531018 -2.207275 5.288267
## X43  -6.725434 -25.588488 1.1065417 -1.10866262 -2.333044 4.875197
## X44  -5.843045  -9.592564 1.1570961 -0.71334989 -2.302585 5.472271
## X45  -6.437752 -12.782746 1.5618560 -0.34249031 -2.748872 5.693732
## X46  -6.907755 -16.954608 1.3471128 -0.73396918 -3.079114 5.648974
## X47  -6.917806 -17.466301 0.5047530 -0.23572233 -2.207275 4.919981
## X48  -6.265901 -18.014017 1.6808260 -0.63487827 -2.501036 5.634790
## X50  -6.319969 -10.202587 1.1065417 -0.54472718 -2.847312 5.379897
## X51  -6.571283 -11.092838 1.1570961  0.26236426 -1.347074 5.730100
## X53  -6.319969  -3.316155 1.0546073 -0.96758403 -2.333044 5.398163
## X55  -6.502290 -18.601960 1.2543998 -0.77652879 -2.465104 5.455321
## X56  -6.725434 -13.807280 1.0011977 -0.49429632 -2.120264 5.472271
## X57  -6.437752 -16.025283 0.9462067 -0.09431068 -2.207275 5.517453
## X59  -5.843045 -13.807280 1.7935512 -0.19845094 -2.302585 5.480639
## X60  -7.106206 -25.588488 0.9462067  0.26236426 -2.302585 5.068904
## X61  -6.907755 -18.601960 1.0546073  0.47000363 -2.501036 4.962845
## X62  -7.208860 -24.395099 1.2543998 -0.54472718 -3.411248 4.672829
## X63  -6.377127 -18.601960 1.3471128 -0.07257069 -3.146555 5.433722
## X64  -5.546779 -12.168957 1.8656036 -0.40047757 -1.386294 5.036953
## X65  -6.725434 -20.660678 1.3919052 -0.59783700 -3.036554 5.476464
## X67  -6.907755 -25.588488 1.3919052 -0.26136476 -2.207275 5.831882
## X68  -6.319969 -20.660678 1.3012972 -0.30110509 -2.343407 5.389072
## X69  -7.058578 -16.475315 0.5751964 -0.99425227 -2.956512 4.875197
## X70  -6.812445 -19.918999 1.2063562 -0.54472718 -2.302585 5.564520
## X71  -6.437752 -18.014017 1.1570961 -0.61618614 -3.123566 5.384495
## X72  -6.032287 -11.712400 1.4786312 -0.43078292 -1.171183 6.045005
## X73  -6.119298  -9.737717 1.4786312 -0.59783700 -2.796881 5.905362
## X74  -6.812445 -15.601770 1.0546073 -0.46203546 -2.396896 4.418841
## X75  -6.074846 -21.468210 1.4786312 -0.69314718 -1.171183 4.955827
## X76  -6.319969  -3.509845 1.7190552 -0.19845094 -2.718101 5.723585
## X77  -6.214608 -12.931637 1.9353985 -0.96758403 -1.897120 5.420535
## X78  -6.119298 -12.931637 1.2543998 -0.61618614 -1.771957 5.929589
## X80  -6.502290 -18.601960 1.5206598 -0.96758403 -3.575551 5.273000
## X81  -6.265901 -25.588488 1.1065417 -0.31471074 -2.207275 5.379897
## X82  -6.437752 -20.660678 1.8656036 -0.31471074 -1.427116 5.273000
## X83  -6.319969 -13.807280 1.2543998 -0.89159812 -3.442019 4.934474
## X84  -6.645391 -20.660678 1.2543998 -0.61618614 -2.764621 5.225747
## X85  -6.214608 -19.235033 1.6022588 -0.22314355 -2.718101 5.641907
## X86  -6.265901  -9.737717 1.5618560 -0.82098055 -2.207275 5.476464
## X88  -6.502290 -11.712400 1.3919052 -0.11653382 -2.207275 5.451038
## X90  -5.809143 -26.925298 0.3540404 -0.69314718 -3.296837 4.317488
## X93  -6.437752 -11.935945 1.3012972 -0.59783700 -1.771957 5.192957
## X94  -6.032287  -9.887603 1.7190552 -0.03045921 -1.560648 6.317165
## X95  -6.645391 -18.014017 1.6022588  0.74193734 -1.714798 4.828314
## X96  -7.002066 -18.601960 1.3919052 -0.51082562 -2.364460 5.624018
## X97  -6.571283 -19.918999 0.9462067  0.00000000 -2.207275 5.869297
## X98  -6.938214 -22.351393 0.7704814 -0.04082199 -2.120264 5.056246
## X99  -6.119298 -11.935945 1.2543998 -0.82098055 -2.441847 5.855072
## X100 -6.571283 -24.395099 1.3012972 -0.11653382 -2.764621 5.572154
## X103 -6.074846 -12.168957 1.2543998 -0.24846136 -2.207275 6.222576
## X104 -6.571283 -23.322142 1.3012972 -0.44628710 -2.577022 5.497168
## X105 -6.571283 -28.434991 1.5206598 -0.27443685 -1.897120 5.680173
## X107 -6.319969 -19.235033 1.2063562 -0.34249031 -2.441847 5.579730
## X108 -6.571283 -18.014017 1.5206598 -0.24846136 -2.385967 5.308268
## X109 -6.812445 -21.468210 1.0546073  0.26236426 -3.772261 5.153292
## X110 -6.725434 -19.918999 1.0546073 -0.40047757 -2.780621 4.859812
## X111 -6.502290 -19.918999 1.2063562 -0.63487827 -2.551046 5.525453
## X112 -6.645391 -11.497723 1.6022588 -0.40047757 -1.203973 5.525453
## X113 -6.214608 -13.209714 1.6419042 -0.31471074 -1.771957 5.468060
## X114 -7.002066 -25.588488 0.8309909  0.09531018 -2.645075 4.836282
## X115 -6.571283 -14.824999 1.1065417  0.33647224 -1.609438 5.105945
## X117 -5.572754 -12.931637 1.6022588 -0.69314718 -1.386294 5.572154
## X118 -6.319969 -14.129014 1.5618560 -0.77652879 -2.590267 5.765191
## X121 -6.437752 -13.501240 1.3012972 -0.18632958 -1.560648 5.799093
## X123 -7.058578 -32.139553 0.5047530  0.58778666 -1.832581 4.770685
## X124 -6.437752 -18.014017 0.7704814 -0.63487827 -3.352407 5.379897
## X126 -6.645391 -20.660678 0.5751964 -1.13943428 -2.577022 5.468060
## X128 -6.074846 -16.475315 1.5618560 -0.21072103 -1.309333 5.648974
## X129 -6.725434 -22.351393 0.8309909 -0.75502258 -2.764621 4.976734
## X130 -6.377127 -11.092838 1.1570961 -0.63487827 -2.207275 5.529429
## X131 -7.156217 -26.925298 1.3919052 -0.69314718 -2.538307 5.262690
## X132 -6.725434 -12.931637 1.1065417 -0.99425227 -2.780621 5.198497
## X133 -6.571283 -12.168957 1.5206598 -0.23572233 -1.469676 5.308268
## X134 -6.067933 -10.901667 1.7935512 -0.94160854 -2.407946 5.497168
## X135 -6.725434 -14.129014 1.0546073 -0.09431068 -1.171183 5.780744
## X136 -6.319969  -3.509845 0.9462067 -0.57981850 -2.302585 4.828314
## X137 -6.725434 -21.468210 1.3471128 -0.47803580 -4.135167 5.153292
## X139 -7.094085 -20.660678 1.0546073 -0.23572233 -2.538307 5.111988
## X140 -6.571283  -9.737717 1.2543998 -0.04082199 -2.673649 5.529429
## X141 -5.843045 -18.014017 1.2543998 -0.84397007 -2.207275 5.468060
## X143 -6.265901 -21.468210 0.6427959 -0.67334455 -2.040221 4.820282
## X144 -6.645391 -18.601960 1.2063562 -0.47803580 -2.407946 5.262690
## X145 -6.917806 -28.434991 0.8895156 -0.18632958 -2.488915 5.093750
## X146 -5.878136 -13.209714 1.2063562 -0.35667494 -1.771957 5.613128
## X147 -6.812445  -2.239355 1.4786312 -0.21072103 -2.322788 5.598422
## X148 -6.165818 -16.025283 1.8298706  0.26236426 -2.207275 5.342334
## X149 -6.917806 -23.322142 0.8309909 -0.43078292 -2.764621 5.164786
## X152 -6.571283 -15.601770 1.3919052  0.09531018 -2.207275 5.869297
## X153 -6.502290 -19.235033 2.3725662 -0.41551544 -2.207275 5.379897
## X154 -6.812445 -22.351393 1.3919052 -0.40047757 -3.611918 5.198497
## X155 -6.645391 -20.660678 1.2543998 -0.37106368 -3.244194 5.262690
## X156 -6.319969 -15.601770 1.6808260 -0.67334455 -2.577022 5.583496
## X157 -6.377127 -13.807280 1.0546073 -0.67334455 -2.577022 5.278115
## X158 -6.917806 -20.660678 1.1065417 -0.51082562 -2.813411 5.517453
## X159 -6.377127 -20.460441 1.1065417 -0.34249031 -3.442019 5.170484
## X160 -6.571283  -8.047964 1.7935512  0.53062825 -2.631089 5.940171
## X161 -6.319969 -10.368242 1.3012972 -0.41551544 -3.270169 5.669881
## X162 -6.377127 -20.660678 1.4357282 -1.17118298 -2.975930 5.686975
## X163 -6.812445 -25.588488 1.3012972  0.09531018 -2.703063 4.948760
## X165 -6.571283 -19.235033 1.3919052 -0.12783337 -2.577022 5.796058
## X166 -6.502290 -28.434991 1.2063562 -0.26136476 -3.611918 5.323010
## X167 -6.502290 -12.666051 1.6022588 -0.89159812 -1.897120 5.869297
## X168 -6.917806 -18.601960 1.5618560 -0.65392647 -2.918771 5.365976
## X169 -7.118476 -20.660678 0.6427959 -0.40047757 -2.513306 5.164786
## X170 -6.571283 -15.601770 1.5618560 -0.35667494 -2.207275 5.105945
## X171 -6.571283 -10.717434 1.5206598 -0.84397007 -2.501036 5.517453
## X172 -6.938214 -22.351393 0.8309909  0.09531018 -2.040221 5.147494
## X174 -6.214608 -10.539746 1.3012972 -0.43078292 -2.207275 5.262690
## X175 -6.265901 -10.539746 1.3919052 -0.27443685 -1.771957 5.669881
## X176 -5.776353 -16.954608 0.9462067 -0.77652879 -1.771957 5.075174
## X177 -6.725434 -19.918999 0.9462067 -0.35667494 -2.353878 5.433722
## X178 -7.143478 -19.235033 0.6427959 -0.31471074 -2.882404 4.905275
## X179 -6.214608  -6.464363 1.7190552 -0.69314718 -2.096274 5.164786
## X180 -6.074846 -14.824999 1.2543998 -0.18632958 -2.040221 5.572154
## X181 -6.645391 -26.925298 0.7078153 -1.13943428 -3.324236 4.859812
## X182 -6.645391 -25.588488 0.9462067 -0.32850407 -2.603690 5.187386
## X183 -6.938214 -18.014017 0.6427959 -0.96758403 -1.609438 4.553877
## X184 -6.377127 -16.025283 1.3012972 -0.94160854 -2.796881 5.680173
## X185 -6.571283 -13.209714 1.3919052 -0.96758403 -3.079114 5.525453
## X186 -7.156217 -21.468210 1.3471128 -0.71334989 -2.882404 5.198497
## X189 -6.645391 -18.601960 0.9462067 -0.43078292 -2.364460 5.765191
## X190 -6.377127 -23.322142 1.3471128  0.18232156 -2.538307 5.293305
## X191 -6.165818 -23.322142 1.4786312 -0.52763274 -3.101093 5.389072
## X192 -6.265901 -19.918999 1.8656036 -0.57981850 -2.631089 6.079933
## X193 -6.265901 -14.824999 1.7190552 -0.34249031 -2.407946 5.613128
## X194 -6.319969 -17.466301 0.9462067 -0.84397007 -1.771957 4.927254
## X195 -6.265901 -21.468210 1.7190552 -0.44628710 -2.501036 6.269096
## X197 -6.265901 -11.935945 1.3012972 -0.22314355 -2.302585 5.438079
## X198 -6.907755 -23.322142 0.6427959 -0.63487827 -2.302585 5.117994
## X200 -6.725434 -19.918999 1.9695015 -0.26136476 -2.937463 5.262690
## X201 -6.265901 -22.351393 0.9462067 -0.11653382 -3.352407 5.068904
## X202 -6.812445 -34.966595 0.9462067 -0.35667494 -3.194183 4.867534
## X205 -6.812445 -15.601770 1.6419042  0.40546511 -2.937463 5.710427
## X208 -6.502290 -26.925298 1.1570961 -0.27443685 -2.396896 5.181784
## X210 -6.502290  -2.450735 1.6808260 -0.18632958 -2.813411 5.513429
## X212 -6.119298 -22.351393 1.4357282 -0.34249031 -2.718101 5.209486
## X213 -6.725434 -18.014017 1.4357282 -0.19845094 -1.897120 5.513429
## X214 -6.265901 -10.539746 0.7704814 -0.73396918 -3.057608 5.634790
## X215 -7.156217 -16.475315 1.1065417 -0.15082289 -3.411248 5.451038
## X216 -6.437752 -12.931637 1.6022588 -0.47803580 -2.396896 5.023881
## X218 -6.319969 -23.322142 1.3919052 -0.46203546 -1.897120 4.836282
## X219 -6.812445 -19.235033 0.8309909 -0.02020271 -2.764621 5.273000
## X220 -7.222466 -30.156007 0.6427959 -0.40047757 -4.074542 5.293305
## X223 -6.907755 -14.467762 1.6808260 -0.41551544 -2.302585 5.455321
## X224 -6.980326 -13.807280 1.0546073 -0.13926207 -2.551046 5.393628
## X225 -6.725434 -25.588488 1.9007725 -0.61618614 -1.897120 6.171701
## X226 -6.265901 -12.931637 1.6022588 -0.40047757 -2.780621 5.991465
## X227 -6.725434 -16.475315 1.5618560 -0.99425227 -1.660731 5.204007
## X228 -6.938214 -13.501240 0.8309909 -0.24846136 -3.473768 4.897840
## X229 -7.002066 -25.588488 1.0011977 -0.63487827 -3.540459 5.093750
## X230 -6.502290 -11.935945 0.8309909 -0.21072103 -1.771957 5.468060
## X231 -6.571283 -16.025283 1.5206598 -0.40047757 -2.764621 5.075174
## X232 -6.437752 -26.925298 0.9462067 -0.04082199 -2.430418 5.056246
## X233 -6.725434 -21.468210 0.8895156  0.26236426 -2.407946 4.744932
## X234 -6.725434 -14.467762 1.1065417 -0.61618614 -1.560648 5.298317
## X236 -6.907755 -23.322142 1.0546073 -0.52763274 -2.501036 5.572154
## X237 -6.119298 -14.467762 1.4357282  0.00000000 -1.897120 5.236442
## X239 -6.725434 -18.601960 0.1873999 -0.62623564 -2.813411 4.430817
## X240 -6.907755 -14.129014 0.9462067 -1.30933332 -3.218876 4.744932
## X241 -5.843045 -21.468210 1.1065417 -0.94160854 -1.139434 5.662960
## X242 -6.502290  -9.592564 1.4357282 -0.52763274 -1.660731 4.553877
## X243 -6.571283 -21.468210 1.1570961 -0.17435339 -2.120264 4.983607
## X244 -5.991465 -14.824999 1.0546073 -0.49429632 -2.207275 5.517453
## X245 -6.645391 -13.501240 1.0546073 -0.37106368 -3.729701 4.330733
## X246 -6.165818 -13.209714 0.9462067 -0.47803580 -2.040221 5.075174
## X247 -6.725434 -17.466301 0.7704814  0.00000000 -3.170086 4.859812
## X249 -6.377127 -16.954608 1.8298706 -0.19845094 -2.718101 6.082219
## X250 -6.437752 -17.466301 1.6022588 -0.43078292 -2.513306 5.347108
## X251 -6.812445 -24.395099 1.1065417 -0.22314355 -2.918771 5.303305
## X253 -6.377127 -16.025283 1.3471128 -0.40047757 -2.551046 5.398163
## X254 -6.214608 -12.931637 1.7935512 -0.67334455 -2.603690 6.317165
## X255 -5.626821 -18.601960 1.3471128 -0.56211892 -2.120264 5.703782
## X256 -6.812445 -25.588488 1.1570961 -0.26136476 -2.718101 5.332719
## X257 -6.725434 -25.588488 1.0546073 -0.17435339 -2.780621 4.867534
## X258 -6.265901  -4.873381 1.6022588 -0.54472718 -2.040221 5.891644
## X260 -6.377127 -23.322142 1.3471128 -0.34249031 -2.603690 5.420535
## X261 -6.437752 -16.954608 1.0011977 -0.54472718 -2.513306 4.828314
## X262 -6.645391 -23.322142 1.0011977 -0.91629073 -2.441847 4.804021
## X263 -6.165818 -15.202379 1.1570961 -0.26136476 -1.609438 5.446737
## X264 -6.319969 -11.291369 1.5618560 -0.56211892 -2.120264 5.123964
## X265 -6.571283 -23.322142 0.9462067 -0.56211892 -2.419119 5.459586
## X267 -6.437752 -10.539746 1.8298706 -0.10536052 -2.918771 5.616771
## X268 -6.571283 -15.601770 1.3919052 -0.11653382 -2.312635 5.484797
## X269 -6.725434 -28.434991 0.9462067 -0.73396918 -3.218876 5.192957
## X270 -6.319969 -14.824999 0.7704814  0.00000000 -2.563950 5.993961
## X271 -6.319969 -12.666051 1.4786312 -0.38566248 -1.660731 5.402677
## X272 -6.437752 -15.601770 1.4357282 -0.54472718 -2.937463 5.087596
## X273 -6.377127 -12.666051 1.2543998 -0.34249031 -3.352407 5.379897
## X274 -6.074846 -28.434991 0.9462067 -0.26136476 -3.170086 5.170484
## X275 -6.571283 -28.434991 1.7935512 -0.63487827 -2.688248 5.620401
## X277 -6.074846 -14.129014 1.2543998 -0.35667494 -2.488915 5.262690
## X278 -6.119298 -14.467762 0.9462067 -0.34249031 -3.101093 5.451038
## X279 -6.980326 -16.954608 1.4357282 -0.73396918 -2.937463 5.209486
## X281 -6.074846  -3.723928 1.3919052 -0.47803580 -2.631089 5.407172
## X282 -6.165818 -20.660678 1.1570961 -0.31471074 -3.123566 5.252273
## X283 -5.843045  -7.247686 1.4786312 -0.57981850 -1.771957 5.826000
## X287 -6.917806 -18.014017 1.3919052 -0.22314355 -2.120264 5.783825
## X289 -6.812445 -19.235033 0.7078153 -0.27443685 -2.937463 4.787492
## X290 -6.165818 -16.025283 1.0011977 -0.61618614 -3.057608 5.093750
## X291 -6.265901 -20.660678 1.1570961 -0.61618614 -2.207275 5.572154
## X292 -6.165818 -26.925298 1.1065417 -0.89159812 -2.617296 5.669881
## X294 -7.024289 -22.293116 1.0011977 -0.43078292 -3.649659 4.691348
## X297 -6.907755 -16.475315 0.9462067  0.09531018 -2.796881 5.257495
## X298 -7.047017 -22.351393 0.5047530 -0.12783337 -2.673649 5.036953
## X299 -6.571283 -26.925298 0.9462067  0.00000000 -2.476938 5.613128
## X301 -6.502290 -19.235033 0.8309909 -0.02020271 -3.611918 5.220356
## X302 -7.208860 -19.235033 0.9462067 -1.34707365 -3.079114 4.418841
## X303 -6.645391 -18.014017 1.3012972 -0.34249031 -3.101093 5.303305
## X304 -6.645391 -22.351393 1.9695015 -0.06187540 -2.207275 5.755742
## X305 -6.319969 -16.954608 1.6419042 -0.40047757 -1.966113 5.351858
## X306 -6.377127 -12.412086 1.6419042 -0.79850770 -2.302585 5.891644
## X307 -6.319969 -11.497723 1.9695015 -0.82098055 -1.560648 5.755742
## X308 -6.437752 -13.501240 1.5206598  0.09531018 -2.764621 5.501258
## X311 -6.377127 -16.954608 1.0546073 -0.99425227 -1.897120 5.081404
## X312 -6.377127 -18.601960 1.4357282 -0.31471074 -3.101093 5.843544
## X313 -6.319969 -19.235033 1.2543998  0.00000000 -1.771957 5.117994
## X314 -6.571283 -26.925298 0.8895156  0.00000000 -2.476938 5.278115
## X315 -6.571283 -16.475315 1.3471128 -0.73396918 -2.748872 5.117994
## X316 -6.917806 -26.925298 1.1570961 -0.09431068 -2.563950 5.583496
## X317 -6.645391 -21.468210 1.0546073  0.00000000 -2.590267 5.710427
## X320 -6.812445 -13.501240 1.0546073 -0.56211892 -2.302585 5.056246
## X321 -6.938214 -14.467762 1.1570961 -0.61618614 -2.718101 4.394449
## X322 -6.377127  -8.930136 1.8656036 -0.49429632 -1.966113 5.398163
## X323 -6.437752 -12.666051 1.0011977 -0.37106368 -2.882404 5.342334
## X324 -6.812445 -16.954608 1.2063562 -0.54472718 -2.882404 5.093750
## X325 -6.119298 -23.322142 0.9462067 -0.30110509 -2.513306 5.375278
## X326 -6.214608 -13.501240 1.3012972  0.00000000 -2.465104 5.347108
## X327 -6.437752 -14.467762 1.3471128 -0.01005034 -2.733368 5.676754
## X329 -6.571283 -28.434991 0.8895156 -0.69314718 -3.611918 5.693732
## X330 -6.571283 -14.824999 1.2063562  0.09531018 -2.040221 4.875197
## X331 -6.645391 -20.660678 1.0546073 -0.11653382 -1.966113 4.948760
## X332 -6.437752 -18.601960 0.8895156 -0.31471074 -2.847312 4.709530
## X333 -6.214608 -19.918999 1.9007725 -0.13926207 -2.120264 6.013715
##      Serum_Amyloid_P Sortilin Stem_Cell_Factor TGF_alpha    TIMP_1     TNF_RII
## X1         -5.599422 4.908629         4.174387  8.649098 15.204651 -0.06187540
## X2         -6.119298 5.478731         3.713572 11.331619 11.266499 -0.32850407
## X3         -5.381699 3.810182         3.433987 10.858497 12.282857 -0.41551544
## X5         -5.203007 3.402176         4.060443  8.323453 13.748016 -0.34249031
## X6         -5.115996 2.978813         2.564949 10.008788 11.266499 -0.94160854
## X7         -6.032287 4.037285         3.401197  8.649098 12.422205 -0.77652879
## X8         -5.083206 2.665456         2.772589 10.097662 14.492423 -0.91629073
## X9         -7.013116 2.141223         3.295837 10.777165 10.000000 -0.94160854
## X11        -6.119298 4.802628         2.995732 10.777165 10.489996 -0.51082562
## X12        -5.449140 4.093428         3.091042  9.549474 10.961481 -0.71334989
## X14        -6.032287 3.752748         3.044522 10.008788 13.491933 -0.61618614
## X16        -6.032287 4.479850         3.135494 10.777165 12.696938 -0.28768207
## X17        -5.035953 4.093428         2.944439  9.736307 10.961481 -0.69314718
## X18        -5.952244 2.916923         3.044522  8.542148 10.328828 -0.77652879
## X19        -6.319969 2.341451         2.944439 10.612220 13.620499 -0.79850770
## X20        -4.779524 2.728930         2.772589 10.185606 13.748016 -0.75502258
## X21        -6.645391 2.601557         3.178054  8.649098 10.165525 -0.65392647
## X22        -5.991465 4.315608         3.891820 11.998865 10.961481 -0.04082199
## X23        -6.377127 3.040333         2.890372  9.828139  9.661904 -0.59783700
## X24        -6.032287 6.225224         3.526361  9.454406 11.266499 -0.43078292
## X25        -6.437752 3.695039         2.995732  9.162164  9.832160 -0.82098055
## X26        -6.319969 4.855724         3.367296 10.272644 10.649111 -0.43078292
## X28        -6.265901 4.802628         3.367296  9.358191 11.416408 -0.22314355
## X29        -6.725434 2.791992         2.708050  9.260790 10.165525 -1.02165125
## X30        -6.437752 3.461346         2.708050  7.113891  9.313708 -0.89159812
## X31        -5.298317 2.978813         3.401197  7.982407 13.099669 -0.73396918
## X34        -5.654992 2.916923         2.944439  7.245150 11.856406 -0.65392647
## X35        -6.032287 3.695039         2.944439  9.828139 10.328828 -0.89159812
## X36        -4.919881 3.342694         3.401197 10.358802 12.696938 -0.67334455
## X37        -6.214608 4.802628         3.367296  9.549474 10.806248 -0.30110509
## X38        -6.265901 3.520211         3.663562  9.454406 12.000000 -0.65392647
## X39        -6.074846 5.325310         3.583519 10.097662 12.142136 -0.46203546
## X40        -6.074846 3.101492         3.258097  9.358191 12.966630 -0.44628710
## X41        -5.099467 3.924249         3.178054 10.612220 13.748016 -0.75502258
## X42        -6.319969 3.637051         3.091042 10.008788 10.961481 -0.69314718
## X43        -6.725434 3.282892         3.044522  7.623847 10.328828 -0.86750057
## X44        -6.165818 4.093428         3.496508 10.858497 13.748016 -0.24846136
## X45        -5.776353 3.461346         3.688879 11.331619 12.142136 -0.02020271
## X46        -6.032287 4.093428         3.637586 11.176634 13.099669 -0.38566248
## X47        -6.725434 2.472433         2.944439  8.211578 10.000000 -0.79850770
## X48        -6.377127 5.325310         4.060443  9.162164 11.856406 -0.27443685
## X50        -6.074846 5.170380         3.555348 10.858497 11.266499 -0.54472718
## X51        -6.437752 3.578777         3.295837  9.918956 10.649111 -0.38566248
## X53        -5.991465 3.342694         3.258097 10.097662 13.620499 -0.71334989
## X55        -6.265901 3.520211         3.135494 10.858497 11.266499 -0.63487827
## X56        -5.713833 3.867347         3.178054 11.331619 14.370706 -0.63487827
## X57        -5.991465 4.370576         3.891820 11.484041 14.613248 -0.31471074
## X59        -5.878136 3.867347         3.135494 11.018969 14.000000 -0.30110509
## X60        -6.319969 2.275226         2.890372  8.097921 12.560220 -0.59783700
## X61        -6.377127 2.791992         3.044522  7.623847 10.165525 -1.04982212
## X62        -6.377127 2.472433         2.890372  7.623847  9.661904 -1.20397280
## X63        -5.878136 3.402176         3.178054 10.185606 11.564660 -0.27443685
## X64        -5.744604 4.534163         2.772589 10.858497 13.099669 -0.44628710
## X65        -7.385791 4.425322         3.258097 10.528568 10.489996 -0.73396918
## X67        -6.980326 4.425322         3.583519 10.185606  9.832160 -0.18632958
## X68        -5.449140 3.637051         3.526361 10.695079 12.560220 -0.51082562
## X69        -7.505592 2.407182         3.178054  6.842982  9.489125 -1.04982212
## X70        -7.195437 3.924249         3.367296 10.528568 10.328828 -0.61618614
## X71        -6.119298 3.867347         3.258097 10.358802 12.000000 -0.46203546
## X72        -5.386185 3.980894         4.174387 11.781632 16.439089  0.33647224
## X73        -5.952244 3.924249         3.713572 10.939092 12.560220 -0.03045921
## X74        -5.914504 1.866476         2.251292  6.979888 10.489996 -1.34707365
## X75        -5.339139 2.728930         2.890372  9.358191 15.320508 -0.67334455
## X76        -5.654992 5.427755         3.555348 10.939092 14.970563  0.00000000
## X77        -5.626821 4.315608         3.401197 10.528568 13.874508 -0.41551544
## X78        -5.878136 4.695848         3.951244 11.559326 14.970563 -0.06187540
## X80        -5.496768 4.315608         3.526361  8.649098 10.489996 -0.65392647
## X81        -6.265901 4.370576         2.944439 10.444102 10.806248 -0.59783700
## X82        -6.265901 4.315608         3.401197  8.858503 11.266499 -0.44628710
## X83        -5.744604 3.867347         3.465736  9.643429 11.266499 -0.82098055
## X84        -6.214608 3.637051         2.944439  8.211578 10.649111 -0.57981850
## X85        -5.878136 5.170380         3.496508  9.260790 13.491933 -0.31471074
## X86        -5.318520 4.479850         3.555348 10.777165 14.124515 -0.26136476
## X88        -5.914504 3.520211         3.555348  8.961066 14.000000 -0.30110509
## X90        -6.502290 1.653813         2.564949  8.542148  8.954451 -1.38629436
## X93        -5.991465 2.978813         3.555348 10.272644 13.620499 -0.24846136
## X94        -5.546779 4.204987         3.871201 10.858497 18.880613  0.47000363
## X95        -6.571283 3.867347         2.890372  8.323453  9.661904 -0.63487827
## X96        -6.032287 4.749337         3.401197 10.185606 11.416408 -0.63487827
## X97        -6.812445 4.425322         3.367296 10.444102 10.328828 -0.51082562
## X98        -6.645391 3.040333         3.044522  7.245150  9.489125 -1.10866262
## X99        -5.843045 3.402176         3.761200 10.358802 14.733201 -0.19845094
## X100       -5.914504 5.066223         3.663562 11.854592 11.114877 -0.49429632
## X103       -6.377127 3.810182         4.060443 12.211323 13.362291 -0.05129329
## X104       -5.426151 3.040333         3.784190 11.559326 12.696938 -0.44628710
## X105       -6.502290 4.908629         3.135494 10.272644 11.711309 -0.59783700
## X107       -6.165818 4.479850         3.465736  8.323453 11.266499 -0.59783700
## X108       -5.626821 4.908629         3.713572  8.649098 12.142136 -0.51082562
## X109       -6.571283 3.461346         2.890372  9.454406 10.000000 -0.94160854
## X110       -7.354042 3.402176         3.044522  7.745463  9.313708 -0.89159812
## X111       -6.265901 3.520211         3.637586 10.858497 11.114877 -0.77652879
## X112       -5.449140 4.479850         3.784190  8.097921 12.282857 -0.27443685
## X113       -4.803621 4.908629         3.465736 11.098144 12.696938  0.00000000
## X114       -6.032287 2.665456         2.833213  9.454406  8.770330 -1.07880966
## X115       -5.240048 2.854653         3.091042  9.062271 11.856406 -0.71334989
## X117       -6.502290 5.427755         3.555348  9.162164 10.961481 -0.47803580
## X118       -6.119298 5.118391         3.688879  9.062271 14.733201 -0.18632958
## X121       -6.645391 4.908629         3.583519 10.444102 14.970563  0.09531018
## X123       -6.502290 1.653813         2.484907  7.500000 10.165525 -1.13943428
## X124       -5.809143 2.472433         3.465736 10.939092 12.832397 -0.44628710
## X126       -6.119298 2.854653         3.496508  9.828139 10.000000 -0.84397007
## X128       -5.318520 4.204987         3.295837 10.858497 17.390719 -0.43078292
## X129       -6.502290 3.162299         2.564949  8.858503 10.000000 -1.23787436
## X130       -5.381699 3.867347         3.367296 12.822626 11.114877 -0.44628710
## X131       -6.032287 3.637051         3.295837  9.260790 10.328828 -0.94160854
## X132       -5.035953 2.791992         3.465736  8.433621 11.266499 -0.67334455
## X133       -5.083206 4.260413         3.091042 10.528568 12.422205 -0.57981850
## X134       -5.572754 5.118391         3.828641 12.555529 12.282857 -0.44628710
## X135       -6.319969 3.695039         3.637586  8.211578 12.000000 -0.52763274
## X136       -6.571283 2.728930         3.044522 10.097662 12.696938 -0.65392647
## X137       -6.165818 3.752748         2.890372  9.454406 10.489996 -1.13943428
## X139       -7.130899 3.752748         2.944439 10.097662 10.165525 -0.86750057
## X140       -5.776353 3.695039         3.135494  8.858503 11.114877 -0.69314718
## X141       -5.472671 5.681052         3.465736 10.097662 11.856406 -0.41551544
## X143       -5.713833 2.208489         3.178054  7.982407 11.856406 -1.02165125
## X144       -5.713833 3.637051         2.995732  9.358191 11.114877 -0.52763274
## X145       -7.338538 4.260413         3.218876  8.542148 10.165525 -0.89159812
## X146       -5.298317 3.695039         3.610918  9.358191 13.099669 -0.17435339
## X147       -6.032287 5.478731         3.258097  9.454406 11.856406 -0.15082289
## X148       -5.051457 3.867347         3.295837  8.858503 14.733201 -0.52763274
## X149       -6.645391 3.924249         3.135494  9.828139 11.416408 -0.71334989
## X152       -5.051457 5.478731         3.688879  8.542148 14.370706  0.00000000
## X153       -5.626821 4.749337         3.295837 10.528568 13.231546 -0.56211892
## X154       -5.914504 3.980894         2.772589  8.542148 10.489996 -0.86750057
## X155       -5.776353 4.260413         3.295837  8.433621  9.313708 -0.79850770
## X156       -5.472671 4.037285         3.496508 10.528568 14.000000 -0.41551544
## X157       -6.119298 4.370576         3.295837  8.858503 14.733201 -0.67334455
## X158       -6.319969 3.695039         2.890372 10.444102 10.489996 -0.79850770
## X159       -6.571283 3.637051         3.091042 10.444102  9.661904 -0.91629073
## X160       -5.991465 6.225224         3.496508 11.559326 12.142136 -0.26136476
## X161       -5.991465 4.149327         3.091042 11.926999 10.489996 -0.43078292
## X162       -7.308233 3.810182         3.784190 10.528568 10.806248 -0.38566248
## X163       -6.725434 4.093428         2.944439 10.939092  8.583005 -0.94160854
## X165       -6.645391 3.867347         3.367296  8.961066 11.856406 -0.40047757
## X166       -6.571283 4.315608         2.772589  9.736307  9.313708 -0.75502258
## X167       -6.265901 5.222195         4.007333 12.419275 11.564660 -0.26136476
## X168       -5.843045 3.924249         3.135494 10.272644 11.856406 -0.38566248
## X169       -6.725434 4.149327         3.135494  9.549474  9.489125 -0.86750057
## X170       -5.426151 4.315608         2.833213  9.062271  9.832160 -0.75502258
## X171       -5.572754 4.425322         3.806662 11.176634 11.266499 -0.59783700
## X172       -6.437752 3.695039         3.555348  7.982407  9.135529 -1.10866262
## X174       -5.654992 4.370576         3.178054 11.018969 14.000000 -0.51082562
## X175       -5.099467 3.810182         3.526361  8.754531 14.613248 -0.24846136
## X176       -5.952244 3.578777         3.367296  9.549474 11.564660 -0.69314718
## X177       -6.437752 3.282892         3.891820 11.018969 11.856406 -0.54472718
## X178       -6.074846 2.791992         2.772589  8.961066  8.392305 -1.30933332
## X179       -5.521461 4.204987         3.610918 10.185606 14.492423 -0.26136476
## X180       -6.319969 3.924249         3.258097  9.736307 11.266499  0.09531018
## X181       -6.214608 2.275226         3.044522 11.408143 11.564660 -0.91629073
## X182       -6.074846 3.924249         3.526361  8.323453 11.564660 -0.75502258
## X183       -5.683980 2.005028         3.295837  8.097921 11.266499 -0.86750057
## X184       -5.809143 3.752748         3.761200 12.822626 12.560220 -0.63487827
## X185       -6.645391 3.461346         3.401197 11.018969 12.696938 -0.56211892
## X186       -6.437752 3.867347         2.995732 10.939092  9.489125 -0.82098055
## X189       -6.571283 4.479850         3.367296  7.113891  9.661904 -0.52763274
## X190       -5.991465 3.867347         3.178054 11.634012 12.282857 -0.35667494
## X191       -5.572754 3.282892         3.401197 10.358802 11.114877 -0.69314718
## X192       -6.265901 4.037285         3.713572 10.444102 13.362291 -0.15082289
## X193       -6.119298 4.961345         3.295837 10.444102 15.320508 -0.32850407
## X194       -6.214608 3.402176         3.044522  9.828139 12.000000 -0.75502258
## X195       -6.074846 5.731246         3.988984 11.559326 12.000000 -0.24846136
## X197       -5.809143 5.630705         3.367296 10.444102 11.266499 -0.24846136
## X198       -6.502290 3.162299         3.044522  9.454406  9.489125 -0.91629073
## X200       -6.917806 5.222195         3.295837  8.754531 10.806248 -0.59783700
## X201       -5.776353 2.916923         2.772589 10.695079 12.560220 -0.77652879
## X202       -6.265901 3.867347         2.890372  7.500000  9.832160 -1.13943428
## X205       -5.809143 4.315608         3.135494 10.695079 11.114877 -0.73396918
## X208       -5.572754 4.315608         3.178054 10.358802 12.282857 -0.54472718
## X210       -6.214608 4.749337         3.367296 12.141017 13.099669 -0.28768207
## X212       -6.214608 3.924249         3.091042  9.828139 10.489996 -0.89159812
## X213       -6.214608 4.149327         3.091042 10.008788  9.661904 -0.46203546
## X214       -5.654992 3.101492         3.433987 10.008788 16.547237 -0.32850407
## X215       -6.725434 3.695039         3.465736  8.542148  9.832160 -0.75502258
## X216       -5.203007 3.222763         2.944439  8.961066 10.649111 -1.07880966
## X218       -4.906275 3.461346         2.944439 10.185606 13.362291 -0.82098055
## X219       -6.214608 3.162299         2.772589  9.736307 10.806248 -1.02165125
## X220       -6.319969 4.260413         3.583519  8.754531 10.489996 -0.96758403
## X223       -6.214608 4.149327         3.850148  8.754531 11.564660 -0.59783700
## X224       -6.032287 4.204987         3.555348  7.623847 11.266499 -0.89159812
## X225       -6.437752 5.325310         4.060443  9.162164 12.000000 -0.26136476
## X226       -5.991465 4.642159         3.891820 10.528568 13.231546  0.09531018
## X227       -4.645992 3.461346         3.526361  8.858503 11.711309 -0.63487827
## X228       -6.645391 3.342694         3.295837  7.982407  9.661904 -0.94160854
## X229       -5.991465 3.402176         2.833213 10.097662  9.489125 -1.07880966
## X230       -5.809143 2.791992         3.258097  9.454406 12.282857 -0.26136476
## X231       -5.809143 3.461346         3.367296 13.827158  1.741657 -0.65392647
## X232       -5.809143 4.149327         3.044522 11.634012 11.856406 -0.73396918
## X233       -6.214608 2.978813         2.995732 10.358802 10.649111 -0.96758403
## X234       -5.546779 3.578777         3.367296  8.754531 10.328828 -0.79850770
## X236       -7.169120 3.752748         2.995732  9.162164  8.954451 -0.84397007
## X237       -5.496768 5.118391         2.564949  7.500000 11.856406 -0.67334455
## X239       -7.293418 1.725381         3.044522  7.500000  9.661904 -0.99425227
## X240       -6.571283 3.402176         3.401197  7.745463 10.165525 -0.96758403
## X241       -5.744604 4.749337         3.496508  9.549474 10.000000 -0.65392647
## X242       -4.866535 2.728930         3.135494  9.643429 12.422205 -0.44628710
## X243       -5.654992 4.315608         2.772589  9.260790 11.711309 -1.07880966
## X244       -6.377127 3.461346         3.258097 10.272644 12.000000 -0.30110509
## X245       -6.502290 2.341451         2.397895 10.185606  9.135529 -1.38629436
## X246       -5.259097 3.282892         3.401197  7.745463 13.620499 -0.51082562
## X247       -6.917806 3.222763         2.944439  8.097921  9.832160 -1.07880966
## X249       -6.502290 5.731246         3.891820 10.444102 11.114877 -0.03045921
## X250       -5.713833 3.461346         3.135494  9.918956 11.856406 -0.51082562
## X251       -6.725434 2.854653         2.944439 10.272644  9.832160 -0.82098055
## X253       -5.496768 3.810182         3.295837  9.828139 15.888544 -0.41551544
## X254       -5.878136 4.425322         4.276666 10.358802 12.966630  0.26236426
## X255       -5.744604 4.802628         3.663562 11.254454 12.832397 -0.22314355
## X256       -7.402052 3.980894         3.178054  9.358191  8.954451 -1.04982212
## X257       -6.074846 3.342694         2.944439 10.185606  9.135529 -1.13943428
## X258       -6.571283 4.370576         3.332205 10.695079 13.099669 -0.34249031
## X260       -4.906275 4.425322         3.401197 10.358802 12.142136 -0.69314718
## X261       -6.645391 3.637051         2.944439 10.272644  8.954451 -0.91629073
## X262       -5.914504 3.101492         3.135494 10.185606  9.135529 -1.10866262
## X263       -5.776353 3.980894         3.891820 11.854592 14.492423 -0.47803580
## X264       -5.599422 4.479850         3.583519  9.260790 14.248077 -0.38566248
## X265       -5.744604 3.101492         3.401197 10.777165 12.696938 -0.75502258
## X267       -6.032287 5.013876         3.258097 11.018969 13.099669 -0.02020271
## X268       -6.319969 4.479850         3.637586 10.272644 10.165525 -0.34249031
## X269       -7.035589 2.472433         3.044522  6.842982  9.489125 -0.75502258
## X270       -6.377127 3.578777         3.951244 11.708110 10.649111 -0.19845094
## X271       -5.776353 4.093428         3.637586 13.273934 17.899749 -0.17435339
## X272       -5.744604 3.980894         3.401197  8.323453 10.328828 -0.77652879
## X273       -5.952244 3.980894         3.555348  9.358191 12.560220 -0.22314355
## X274       -6.074846 3.461346         3.258097 12.350442 11.416408 -0.57981850
## X275       -5.776353 4.695848         3.713572  7.982407 13.231546 -0.26136476
## X277       -5.020686 4.749337         3.135494 10.185606 12.142136 -0.57981850
## X278       -5.403678 3.637051         3.637586  8.649098 12.560220 -0.41551544
## X279       -6.377127 3.924249         3.258097  8.961066 10.328828 -0.61618614
## X281       -5.914504 5.170380         3.367296 12.555529 12.282857 -0.44628710
## X282       -5.298317 2.791992         2.890372  6.842982 13.491933 -0.82098055
## X283       -6.265901 5.170380         3.663562 10.858497 15.088007 -0.10536052
## X287       -6.119298 4.370576         3.433987  9.549474 11.266499 -0.40047757
## X289       -6.032287 2.665456         3.178054  7.982407  9.489125 -1.07880966
## X290       -6.319969 2.728930         3.135494  9.549474 11.114877 -0.71334989
## X291       -5.744604 4.204987         3.465736 10.695079 14.370706 -0.17435339
## X292       -5.878136 4.749337         3.850148  9.454406 13.362291 -0.26136476
## X294       -5.683980 2.854653         2.890372  7.373808 10.165525 -1.02165125
## X297       -6.571283 3.342694         2.944439  9.549474 10.806248 -0.89159812
## X298       -5.132803 2.341451         2.890372 10.358802 12.282857 -0.96758403
## X299       -7.338538 3.578777         3.465736  9.828139 10.961481 -0.54472718
## X301       -5.521461 2.916923         3.091042 10.528568  9.832160 -0.99425227
## X302       -5.843045 2.073409         3.178054  7.373808  9.489125 -1.66073121
## X303       -5.203007 3.578777         3.401197 11.559326 11.564660 -0.82098055
## X304       -6.502290 5.478731         3.583519 11.559326 11.564660 -0.19845094
## X305       -5.952244 5.066223         3.401197 11.998865 14.970563 -0.40047757
## X306       -5.654992 4.037285         4.007333 10.008788 13.874508 -0.15082289
## X307       -5.318520 5.118391         3.850148  7.982407 16.110770 -0.16251893
## X308       -5.360193 4.855724         3.465736  8.649098 12.142136 -0.56211892
## X311       -6.165818 3.461346         3.178054  9.918956 11.114877 -0.67334455
## X312       -6.119298 4.425322         3.496508 11.708110 12.422205 -0.46203546
## X313       -5.776353 3.637051         3.295837 11.176634 12.000000 -0.82098055
## X314       -6.725434 4.370576         2.944439 10.444102 11.416408 -0.77652879
## X315       -5.149897 3.924249         3.401197  7.113891 12.142136 -0.67334455
## X316       -6.571283 3.695039         2.890372 10.008788 11.711309 -0.52763274
## X317       -6.214608 3.402176         3.258097  8.649098 12.000000 -0.37106368
## X320       -5.184989 3.282892         3.044522  9.454406 11.856406 -0.91629073
## X321       -5.259097 2.854653         2.397895  8.433621 11.114877 -1.02165125
## X322       -5.099467 4.749337         3.663562 11.408143 10.961481 -0.40047757
## X323       -6.165818 3.222763         3.401197 10.008788 12.696938 -0.46203546
## X324       -6.725434 3.637051         3.465736  8.211578 11.416408 -0.71334989
## X325       -6.032287 3.222763         3.465736 10.008788 14.733201 -0.47803580
## X326       -7.182192 3.637051         3.401197  9.549474 11.711309 -0.40047757
## X327       -5.878136 3.752748         3.258097  9.643429 12.142136 -0.27443685
## X329       -6.214608 4.037285         3.496508  9.918956 10.961481 -0.61618614
## X330       -5.132803 3.402176         2.833213  8.754531 10.961481 -0.79850770
## X331       -6.645391 3.752748         3.044522 10.358802 10.165525 -1.17118298
## X332       -5.403678 3.222763         2.944439 10.777165 12.560220 -1.02165125
## X333       -5.952244 5.273838         3.713572 11.408143 11.564660 -0.21072103
##         TRAIL_R3 TTR_prealbumin Tamm_Horsfall_Protein_THP Thrombomodulin
## X1   -0.18290044       2.944439                 -3.095810     -1.3405665
## X2   -0.50074709       2.833213                 -3.111190     -1.6752524
## X3   -0.92403445       2.944439                 -3.166721     -1.5342758
## X5   -0.85825911       3.044522                 -3.038017     -1.2107086
## X6   -0.73800921       3.044522                 -3.125574     -1.4516659
## X7   -0.62997381       2.890372                 -3.133732     -1.6752524
## X8   -0.56347899       2.708050                 -3.056473     -1.2107086
## X9   -0.75712204       2.772589                 -3.128881     -1.4130880
## X11  -0.37116408       2.833213                 -3.111190     -1.5342758
## X12  -0.68264012       2.833213                 -3.126226     -1.2733760
## X14  -0.54746226       2.890372                 -3.100676     -1.2733760
## X16  -0.48559774       2.890372                 -3.128881     -1.3761017
## X17   0.00000000       2.833213                 -3.074400     -1.4130880
## X18  -0.75712204       2.833213                 -3.123014     -2.0376622
## X19  -0.41274719       2.890372                 -3.111190     -1.7844998
## X20  -0.85825911       2.772589                 -3.123014     -1.1238408
## X21   0.26936976       3.044522                 -3.156593     -1.7280531
## X22  -0.20634242       2.639057                 -3.139636     -1.5787229
## X23  -0.56347899       3.091042                 -3.132318     -1.6752524
## X24  -0.25465110       2.639057                 -3.100676     -1.3405665
## X25  -0.70078093       2.772589                 -3.123014     -1.5787229
## X26  -0.37116408       2.639057                 -3.116914     -1.4516659
## X28  -0.70078093       2.772589                 -3.125574     -1.5787229
## X29  -0.83723396       2.708050                 -3.123014     -1.6256074
## X30  -0.94693458       3.091042                 -3.105791     -1.7844998
## X31  -0.62997381       2.944439                 -3.116914     -1.4130880
## X34  -0.13734056       3.091042                 -3.111190     -1.2415199
## X35  -0.64724718       2.833213                 -3.116914     -1.2733760
## X36  -0.68264012       2.833213                 -3.040908     -1.1238408
## X37  -0.34425042       2.833213                 -3.095810     -1.5787229
## X38  -0.56347899       2.772589                 -3.126226     -1.3405665
## X39  -0.57973042       2.772589                 -3.144357     -1.4516659
## X40  -0.47064906       2.772589                 -3.135170     -1.3761017
## X41  -0.47064906       2.944439                 -3.050006     -1.3405665
## X42  -0.73800921       2.833213                 -3.095810     -1.4516659
## X43  -0.48559774       2.890372                 -3.125574     -1.6752524
## X44  -0.64724718       2.708050                 -3.100676     -1.2107086
## X45  -0.21823750       2.890372                 -3.078354     -1.5342758
## X46  -0.57973042       2.772589                 -3.158511     -1.4516659
## X47  -0.64724718       2.890372                 -3.135170     -1.5787229
## X48  -0.13734056       2.772589                 -3.123014     -1.5787229
## X50   0.00000000       2.772589                 -3.105791     -1.1808680
## X51  -0.73800921       2.639057                 -3.074400     -1.6752524
## X53  -0.53167272       2.944439                 -3.095810     -1.4516659
## X55  -0.47064906       2.708050                 -3.138121     -1.5342758
## X56  -0.37116408       2.944439                 -3.074400     -1.1238408
## X57  -0.27956244       2.772589                 -3.116914     -1.5787229
## X59  -0.56347899       2.995732                 -3.095810     -1.3761017
## X60  -0.53167272       2.995732                 -3.095810     -1.9461072
## X61  -0.79641472       2.944439                 -3.133732     -1.8452133
## X62  -1.09654116       3.091042                 -3.095810     -1.8708654
## X63  -0.33102365       2.995732                 -3.116914     -1.4130880
## X64  -0.44133043       2.708050                 -3.070582     -1.2733760
## X65  -0.68264012       2.833213                 -3.154723     -1.7280531
## X67  -0.56347899       2.890372                 -3.205541     -1.4130880
## X68  -0.31794508       2.708050                 -3.105791     -1.2733760
## X69  -1.09654116       2.833213                 -3.143551     -1.9248483
## X70  -0.39871863       2.772589                 -3.111190     -1.5342758
## X71  -0.61296931       3.178054                 -3.147663     -1.4919984
## X72  -0.21823750       2.833213                 -3.074400     -1.3761017
## X73  -0.30501103       2.639057                 -3.158511     -1.3063602
## X74  -0.90163769       2.944439                 -3.086722     -1.6752524
## X75  -0.77658561       2.833213                 -3.111190     -1.3063602
## X76  -0.30501103       2.890372                 -3.111190     -1.2733760
## X77  -0.31794508       2.708050                 -3.111190     -1.2107086
## X78  -0.10425819       2.833213                 -3.082457     -1.3405665
## X80  -0.47064906       3.135494                 -3.133732     -1.6256074
## X81  -0.62997381       2.833213                 -3.126226     -1.3063602
## X82  -0.68264012       2.708050                 -3.095810     -1.6256074
## X83  -0.44133043       2.890372                 -3.111190     -1.2415199
## X84  -0.54746226       2.772589                 -3.126226     -1.3405665
## X85  -0.37116408       2.890372                 -3.078354     -1.3063602
## X86  -0.30501103       2.944439                 -3.070582     -1.2415199
## X88  -0.17134851       2.772589                 -3.125574     -1.3405665
## X90  -0.81662520       2.833213                 -3.146824     -2.0295903
## X93  -0.44133043       2.890372                 -3.086722     -1.4919984
## X94   0.00000000       2.995732                 -3.086722     -0.8166252
## X95  -0.54746226       2.639057                 -3.091166     -1.4130880
## X96  -0.54746226       2.772589                 -3.168929     -1.5787229
## X97  -0.71923319       2.772589                 -3.139636     -1.5787229
## X98  -0.92403445       2.995732                 -3.136633     -1.9109957
## X99  -0.57973042       2.890372                 -3.171207     -1.6256074
## X100 -0.48559774       2.639057                 -3.100676     -1.3063602
## X103 -0.38485910       2.772589                 -3.144357     -1.4516659
## X104 -0.45589516       2.833213                 -3.105791     -1.5787229
## X105 -0.75712204       2.708050                 -3.105791     -1.5787229
## X107 -0.47064906       2.944439                 -3.116914     -1.6752524
## X108 -0.61296931       2.944439                 -3.053196     -1.4919984
## X109 -1.21070858       2.995732                 -3.154723     -1.5787229
## X110 -0.75712204       2.944439                 -3.166721     -1.9109957
## X111 -0.75712204       2.708050                 -3.074400     -1.6752524
## X112 -0.27956244       3.091042                 -3.091166     -1.4516659
## X113 -0.42694948       2.890372                 -3.091166     -1.3405665
## X114 -0.83723396       2.890372                 -3.139636     -1.6752524
## X115 -0.42694948       3.044522                 -3.059843     -1.0965412
## X117 -0.42694948       2.708050                 -3.100676     -1.7280531
## X118 -0.42694948       2.944439                 -3.123014     -1.4516659
## X121 -0.13734056       2.772589                 -3.086722     -1.2415199
## X123 -0.99435191       2.833213                 -3.143551     -1.8708654
## X124 -0.20634242       2.708050                 -3.095810     -1.4919984
## X126 -0.38485910       2.564949                 -3.123014     -1.4130880
## X128 -0.27956244       2.639057                 -3.100676     -1.1808680
## X129 -0.70078093       2.772589                 -3.153804     -1.4130880
## X130 -0.39871863       2.833213                 -3.111190     -1.3761017
## X131 -0.87972006       2.772589                 -3.123647     -1.7280531
## X132 -0.62997381       2.890372                 -3.116914     -1.4919984
## X133 -0.92403445       3.044522                 -3.053196     -1.4130880
## X134 -0.31794508       2.772589                 -3.136633     -1.3405665
## X135 -0.53167272       2.772589                 -3.086722     -1.7844998
## X136 -0.38485910       2.639057                 -3.100676     -1.4516659
## X137 -1.04412698       2.639057                 -3.171207     -1.7280531
## X139 -0.47064906       2.995732                 -3.136633     -1.7844998
## X140 -0.48559774       2.833213                 -3.168929     -1.5342758
## X141 -0.34425042       2.639057                 -3.086722     -1.3063602
## X143 -0.61296931       3.258097                 -3.100676     -1.4919984
## X144 -0.64724718       2.708050                 -3.145993     -1.6752524
## X145 -0.39871863       2.944439                 -3.166721     -1.7844998
## X146 -0.53167272       2.772589                 -3.074400     -1.3063602
## X147 -0.47064906       2.564949                 -3.149369     -1.3761017
## X148 -0.94693458       3.044522                 -3.100676     -1.2415199
## X149 -0.97036428       2.772589                 -3.176003     -1.5787229
## X152 -0.18290044       2.772589                 -3.111190     -1.2415199
## X153 -0.41274719       2.833213                 -3.086722     -1.0441270
## X154 -0.85825911       2.833213                 -3.138121     -1.9461072
## X155 -0.75712204       2.890372                 -3.091166     -1.7280531
## X156 -0.61296931       2.833213                 -3.100676     -1.2107086
## X157 -0.42694948       2.944439                 -3.116914     -1.4919984
## X158 -0.81662520       2.890372                 -3.105791     -1.7280531
## X159 -0.75712204       2.890372                 -3.095810     -1.3761017
## X160 -0.59622443       2.944439                 -3.105791     -1.3405665
## X161 -0.30501103       2.890372                 -3.138875     -1.3405665
## X162 -0.42694948       2.833213                 -3.126882     -1.6256074
## X163 -0.75712204       2.995732                 -3.139636     -1.6752524
## X165 -0.44133043       2.833213                 -3.136633     -1.7280531
## X166 -0.79641472       2.944439                 -3.149369     -1.6256074
## X167 -0.30501103       2.708050                 -3.111190     -1.5342758
## X168 -0.62997381       2.995732                 -3.123014     -1.3761017
## X169 -0.51610326       2.890372                 -3.091166     -1.6256074
## X170 -0.47064906       3.044522                 -3.105791     -1.5342758
## X171 -0.38485910       2.564949                 -3.100676     -1.0189283
## X172 -0.62997381       2.890372                 -3.140405     -1.7844998
## X174 -0.51610326       3.044522                 -3.111190     -1.1238408
## X175 -0.31794508       2.772589                 -3.074400     -1.4919984
## X176 -0.56347899       2.772589                 -3.095810     -1.3063602
## X177 -0.68264012       2.708050                 -3.095810     -1.7280531
## X178 -0.51610326       2.833213                 -3.141963     -1.4130880
## X179 -0.54746226       2.833213                 -3.100676     -1.0965412
## X180 -0.21823750       2.833213                 -3.145993     -1.5342758
## X181 -0.97036428       2.708050                 -3.126882     -1.9041616
## X182 -0.61296931       2.772589                 -3.105791     -1.7280531
## X183 -0.68264012       2.995732                 -3.116914     -1.5342758
## X184 -0.37116408       2.708050                 -3.136633     -1.4130880
## X185 -0.15990607       2.833213                 -3.056473     -1.3405665
## X186 -0.30501103       2.890372                 -3.125574     -1.6256074
## X189 -0.68264012       2.639057                 -3.160479     -1.7280531
## X190 -0.47064906       2.944439                 -3.100676     -1.5342758
## X191 -0.68264012       2.833213                 -3.126882     -1.6256074
## X192 -0.38485910       2.708050                 -3.123647     -1.2733760
## X193 -0.47064906       2.772589                 -3.111190     -1.3761017
## X194 -0.70078093       3.044522                 -3.139636     -1.4130880
## X195 -0.47064906       2.564949                 -3.091166     -1.3405665
## X197 -0.06149412       2.639057                 -3.133732     -1.3063602
## X198 -0.79641472       2.833213                 -3.082457     -1.6752524
## X200 -0.79641472       2.772589                 -3.095810     -1.8452133
## X201 -0.38485910       2.772589                 -3.155652     -1.4919984
## X202 -0.79641472       2.995732                 -3.166721     -1.9754065
## X205 -0.59622443       2.708050                 -3.205541     -1.2733760
## X208 -0.62997381       2.833213                 -3.082457     -1.4516659
## X210 -0.21823750       2.772589                 -3.139636     -1.2733760
## X212 -0.71923319       2.890372                 -3.074400     -1.6256074
## X213 -0.41274719       2.833213                 -3.123014     -1.4516659
## X214 -0.71923319       2.833213                 -3.147663     -1.7280531
## X215 -0.68264012       2.890372                 -3.125574     -1.8452133
## X216 -0.38485910       2.890372                 -3.066890     -1.5342758
## X218 -0.51610326       2.772589                 -3.082457     -1.5342758
## X219 -0.68264012       2.944439                 -3.171207     -1.5787229
## X220 -0.71923319       2.890372                 -3.145993     -1.3405665
## X223 -0.62997381       3.044522                 -3.091166     -1.6256074
## X224 -0.70078093       3.044522                 -3.130927     -1.8708654
## X225 -0.34425042       2.833213                 -3.116914     -1.5342758
## X226 -0.41274719       2.833213                 -3.116914     -1.9389551
## X227 -0.50074709       3.135494                 -3.086722     -1.3405665
## X228 -0.71923319       2.879892                 -3.143551     -1.9606157
## X229 -0.57973042       2.944439                 -3.130927     -1.7844998
## X230 -0.42694948       2.944439                 -3.123014     -1.4130880
## X231 -0.51610326       2.708050                 -3.100676     -1.3761017
## X232 -0.42694948       2.944439                 -3.123014     -1.4919984
## X233 -0.90163769       2.890372                 -3.129558     -1.6752524
## X234 -0.56347899       2.890372                 -3.053196     -1.3761017
## X236 -0.56347899       2.639057                 -3.160479     -1.6256074
## X237 -0.51610326       2.890372                 -3.082457     -1.4130880
## X239 -0.77658561       2.708050                 -3.140405     -1.9248483
## X240 -0.83723396       3.091042                 -3.166721     -1.9248483
## X241 -0.54746226       2.639057                 -3.095810     -1.5342758
## X242 -0.35762924       3.178054                 -2.994538     -1.2415199
## X243 -0.75712204       2.890372                 -3.105791     -1.4130880
## X244 -0.41274719       2.772589                 -3.116914     -1.2733760
## X245 -0.77658561       2.890372                 -3.205541     -1.9041616
## X246 -0.41274719       2.995732                 -3.111190     -1.5787229
## X247 -0.70078093       2.564949                 -3.155652     -1.6256074
## X249 -0.15990607       2.564949                 -3.152897     -1.6256074
## X250 -0.50074709       3.044522                 -3.123014     -1.8452133
## X251 -0.68264012       2.944439                 -3.123014     -1.4919984
## X253 -0.42694948       2.833213                 -3.095810     -1.1519318
## X254  0.18568645       2.995732                 -3.123014     -1.2733760
## X255  0.00000000       2.708050                 -3.038017     -1.1519318
## X256 -0.64724718       2.833213                 -3.123014     -1.5342758
## X257 -0.64724718       2.772589                 -3.145993     -1.6752524
## X258 -0.34425042       2.772589                 -3.151113     -1.4130880
## X260 -0.41274719       2.890372                 -3.105791     -1.7844998
## X261 -0.71923319       2.772589                 -3.116914     -1.5342758
## X262 -0.90163769       2.833213                 -3.091166     -1.7844998
## X263 -0.47064906       3.044522                 -3.086722     -1.6256074
## X264 -0.06149412       2.890372                 -3.063313     -0.8582591
## X265 -0.81662520       2.890372                 -3.126882     -1.8452133
## X267 -0.18290044       2.708050                 -3.100676     -1.3405665
## X268 -0.44133043       2.708050                 -3.135898     -1.5787229
## X269 -0.34425042       3.178054                 -3.136633     -1.9754065
## X270 -0.41274719       2.944439                 -3.142753     -1.5787229
## X271 -0.20634242       2.944439                 -3.095810     -1.3063602
## X272 -0.53167272       2.833213                 -3.082457     -1.4130880
## X273 -0.38485910       2.564949                 -3.105791     -1.3405665
## X274 -0.38485910       2.833213                 -3.105791     -1.9389551
## X275 -0.85825911       2.772589                 -3.105791     -1.4919984
## X277 -0.48559774       2.772589                 -3.116914     -1.4516659
## X278 -0.53167272       2.890372                 -3.128210     -1.8452133
## X279 -0.57973042       2.708050                 -3.123014     -1.6256074
## X281 -0.21823750       2.772589                 -3.100676     -1.6752524
## X282 -0.73800921       2.890372                 -3.158511     -1.4130880
## X283 -0.29221795       2.772589                 -3.126882     -1.0189283
## X287 -0.42694948       2.833213                 -3.126226     -1.5342758
## X289 -0.92403445       3.044522                 -3.116914     -1.7844998
## X290 -0.42694948       2.639057                 -3.147663     -1.6752524
## X291 -0.35762924       2.890372                 -3.149369     -1.5787229
## X292 -0.37116408       3.332205                 -3.123014     -1.3063602
## X294 -0.50074709       3.044522                 -3.136633     -1.9248483
## X297 -0.64724718       2.890372                 -3.091166     -1.4919984
## X298 -0.77658561       3.044522                 -3.176003     -1.5342758
## X299 -0.37116408       2.944439                 -3.152897     -1.5787229
## X301 -0.71923319       3.044522                 -3.145993     -1.5787229
## X302 -0.87972006       2.833213                 -3.100676     -1.4919984
## X303 -0.70078093       2.890372                 -3.095810     -1.5787229
## X304 -0.29221795       2.890372                 -3.138875     -1.5342758
## X305 -0.54746226       2.833213                 -3.105791     -1.4919984
## X306 -0.48559774       2.890372                 -3.105791     -1.3063602
## X307 -0.21823750       2.833213                 -3.095810     -1.2415199
## X308 -0.56347899       2.995732                 -3.086722     -1.6256074
## X311 -0.35762924       2.833213                 -3.086722     -1.2733760
## X312 -0.21823750       2.890372                 -3.091166     -1.2733760
## X313 -0.83723396       3.044522                 -3.205541     -1.5787229
## X314 -0.66479918       2.484907                 -3.135898     -1.7280531
## X315 -0.56347899       3.091042                 -3.050006     -1.5342758
## X316 -1.15193183       2.772589                 -3.166721     -1.4516659
## X317 -0.59622443       2.890372                 -3.205541     -1.3761017
## X320 -0.75712204       3.091042                 -3.086722     -1.1808680
## X321 -1.01892829       2.708050                 -3.095810     -1.5787229
## X322 -0.37116408       2.772589                 -3.056473     -0.9943519
## X323 -0.31794508       2.833213                 -3.123014     -1.3405665
## X324 -0.59622443       2.708050                 -3.143551     -1.5787229
## X325 -0.68264012       2.890372                 -3.105791     -1.7844998
## X326 -0.42694948       2.890372                 -3.123647     -1.6256074
## X327 -0.41274719       2.995732                 -3.149369     -1.2107086
## X329 -0.68264012       2.995732                 -3.111190     -1.4919984
## X330 -0.77658561       3.135494                 -3.035191     -1.2107086
## X331 -1.01892829       2.833213                 -3.095810     -1.5787229
## X332 -0.94693458       2.890372                 -3.091166     -1.4516659
## X333 -0.38485910       2.772589                 -3.056473     -1.5787229
##      Thrombopoietin Thymus_Expressed_Chemokine_TECK Thyroid_Stimulating_Hormone
## X1       -0.1026334                        4.149327                   -3.863233
## X2       -0.6733501                        3.810182                   -4.828314
## X3       -0.9229670                        2.791992                   -4.990833
## X5        0.0976177                        4.534163                   -4.645992
## X6       -1.0000000                        4.534163                   -4.422849
## X7       -0.3386752                        3.342694                   -3.963316
## X8       -0.6583592                        4.037285                   -4.017384
## X9       -0.8864471                        3.637051                   -4.605170
## X11      -0.8000000                        4.908629                   -3.442019
## X12      -0.5577795                        3.637051                   -4.605170
## X14      -1.0834849                        4.534163                   -3.816713
## X16      -0.8000000                        4.093428                   -4.892852
## X17      -0.6885123                        5.273838                   -4.422849
## X18      -1.0619168                        2.407182                   -5.005648
## X19      -0.9801961                        4.260413                   -4.509860
## X20      -1.2254033                        3.810182                   -4.422849
## X21      -1.1282202                        4.908629                   -4.509860
## X22      -0.5857864                        3.578777                   -4.199705
## X23      -1.0834849                        3.810182                   -5.381699
## X24      -0.7193752                        4.534163                   -5.449140
## X25      -1.0619168                        2.472433                   -4.422849
## X26      -0.8000000                        4.149327                   -4.615221
## X28      -0.8000000                        3.282892                   -5.449140
## X29      -0.5577795                        3.578777                   -4.074542
## X30      -0.6435340                        2.407182                   -4.342806
## X31      -0.4900331                        2.854653                   -4.509860
## X34      -1.5395654                        4.093428                   -4.605170
## X35      -0.7038519                        4.093428                   -3.863233
## X36      -0.4508067                        4.479850                   -5.298317
## X37      -0.6885123                        4.149327                   -4.879607
## X38      -0.7038519                        4.093428                   -5.298317
## X39      -0.7038519                        4.315608                   -5.496768
## X40      -0.9607695                        1.936058                   -4.342806
## X41      -0.8000000                        3.637051                   -4.733004
## X42      -1.1753789                        4.093428                   -4.605170
## X43      -0.7350889                        3.342694                   -5.005648
## X44      -0.7038519                        2.791992                   -4.767689
## X45      -0.7193752                        4.908629                   -3.649659
## X46      -0.9607695                        4.315608                   -5.167289
## X47      -1.0202041                        3.867347                   -5.599422
## X48      -0.3629294                        3.752748                   -4.509860
## X50      -0.8338096                        4.093428                   -4.135167
## X51      -0.7510004                        3.810182                   -4.017384
## X53      -0.7834475                        3.810182                   -4.990833
## X55      -0.9607695                        2.791992                   -4.699481
## X56      -0.8864471                        2.601557                   -5.599422
## X57      -0.4637709                        6.225224                   -5.083206
## X59      -1.0202041                        3.101492                   -4.509860
## X60      -0.7834475                        1.796259                   -3.912023
## X61      -0.8510875                        2.854653                   -3.611918
## X62      -0.2111456                        2.854653                   -4.645992
## X63      -0.8864471                        4.479850                   -4.342806
## X64      -0.8864471                        4.479850                   -6.189915
## X65      -0.9607695                        3.810182                   -4.635629
## X67      -1.1753789                        4.855724                   -3.816713
## X68      -0.5303062                        6.225224                   -5.083206
## X69      -0.6733501                        2.854653                   -5.259097
## X70      -0.8510875                        2.791992                   -4.268698
## X71      -0.9607695                        3.810182                   -4.422849
## X72      -0.3147700                        4.749337                   -4.135167
## X73      -0.8686292                        4.961345                   -3.611918
## X74      -1.0619168                        3.752748                   -4.199705
## X75      -0.6288691                        3.810182                   -3.611918
## X76      -0.8864471                        4.479850                   -3.442019
## X77      -0.6583592                        5.325310                   -3.473768
## X78      -0.7193752                        6.225224                   -6.189915
## X80      -0.7350889                        3.342694                   -2.673649
## X81      -0.6288691                        3.637051                   -4.342806
## X82      -0.8000000                        3.282892                   -5.221356
## X83      -0.6583592                        4.908629                   -4.733004
## X84      -0.8864471                        3.637051                   -4.605170
## X85      -0.6288691                        4.479850                   -4.509860
## X86      -0.2679492                        4.479850                   -3.816713
## X88      -0.8510875                        4.149327                   -3.442019
## X90      -0.9045549                        3.040333                   -3.688879
## X93      -0.8510875                        4.037285                   -4.342806
## X94      -0.7510004                        5.222195                   -6.189915
## X95      -0.5577795                        3.752748                   -5.259097
## X96      -0.8000000                        3.980894                   -3.963316
## X97      -1.1282202                        4.149327                   -4.615221
## X98      -0.7350889                        1.508487                   -4.645992
## X99      -0.6288691                        3.810182                   -5.167289
## X100     -1.1753789                        3.101492                   -6.189915
## X103     -0.5717143                        4.534163                   -2.813411
## X104     -0.6583592                        4.037285                   -4.605170
## X105     -0.7834475                        3.810182                   -5.381699
## X107     -0.4379501                        3.752748                   -3.863233
## X108     -0.2911993                        3.342694                   -4.475594
## X109     -0.9607695                        2.208489                   -4.268698
## X110     -0.8510875                        2.854653                   -5.259097
## X111     -0.6583592                        3.040333                   -3.688879
## X112     -0.3147700                        4.149327                   -4.268698
## X113     -0.4251984                        4.149327                   -4.199705
## X114     -1.2788897                        2.791992                   -3.324236
## X115     -1.0202041                        3.637051                   -6.189915
## X117     -0.5577795                        4.315608                   -4.422849
## X118     -0.8864471                        4.149327                   -4.615221
## X121     -0.8338096                        3.637051                   -3.649659
## X123     -0.6733501                        2.854653                   -4.645992
## X124     -0.7038519                        3.040333                   -4.803621
## X126     -0.7038519                        3.867347                   -6.189915
## X128     -0.8338096                        4.093428                   -3.963316
## X129     -1.3071797                        3.101492                   -6.189915
## X130     -0.8864471                        4.908629                   -4.733004
## X131     -0.7038519                        3.578777                   -4.342806
## X132     -0.5577795                        3.752748                   -3.963316
## X133     -0.6583592                        4.149327                   -4.268698
## X134     -0.8864471                        6.225224                   -3.218876
## X135     -0.7350889                        3.342694                   -3.649659
## X136     -0.5857864                        3.578777                   -4.017384
## X137     -1.0202041                        2.791992                   -4.990833
## X139     -1.0000000                        3.282892                   -4.199705
## X140     -0.9416995                        4.149327                   -1.714798
## X141     -1.0000000                        4.149327                   -3.296837
## X143     -0.5577795                        3.752748                   -4.268698
## X144     -1.0000000                        3.752748                   -4.947660
## X145     -0.7350889                        2.854653                   -5.259097
## X146     -0.6583592                        3.980894                   -4.422849
## X147     -0.8000000                        3.752748                   -3.611918
## X148     -0.2564404                        4.479850                   -4.733004
## X149     -0.7038519                        3.342694                   -5.381699
## X152     -0.2679492                        5.580204                   -3.218876
## X153     -0.7193752                        4.149327                   -4.879607
## X154     -1.0834849                        2.537220                   -4.342806
## X155     -0.7350889                        3.342694                   -4.803621
## X156     -0.6733501                        4.315608                   -5.626821
## X157     -0.4125492                        3.752748                   -4.422849
## X158     -1.0834849                        3.342694                   -5.381699
## X159     -0.8864471                        3.637051                   -4.605170
## X160     -0.5717143                        4.315608                   -4.605170
## X161     -1.1753789                        4.479850                   -4.509860
## X162     -0.6583592                        3.578777                   -6.189915
## X163     -0.8510875                        4.479850                   -5.083206
## X165     -1.0000000                        3.040333                   -5.035953
## X166     -1.0202041                        3.637051                   -4.892852
## X167     -0.5303062                        4.908629                   -4.342806
## X168     -0.7038519                        3.342694                   -4.906275
## X169     -0.8000000                        3.282892                   -6.189915
## X170     -0.9416995                        3.752748                   -5.035953
## X171     -0.7038519                        4.855724                   -4.605170
## X172     -0.7350889                        3.752748                   -3.649659
## X174     -0.8000000                        4.093428                   -4.976234
## X175     -0.8864471                        4.149327                   -3.688879
## X176     -0.8864471                        4.093428                   -3.442019
## X177     -0.3147700                        3.578777                   -4.199705
## X178     -1.1753789                        3.637051                   -6.189915
## X179     -0.1026334                        5.273838                   -2.975930
## X180     -0.7193752                        5.580204                   -3.816713
## X181     -0.7510004                        4.037285                   -5.318520
## X182     -0.6435340                        3.520211                   -2.847312
## X183     -0.5577795                        2.407182                   -4.135167
## X184     -0.5303062                        4.908629                   -4.268698
## X185     -1.0202041                        4.093428                   -4.342806
## X186     -1.0000000                        4.149327                   -5.035953
## X189     -1.0619168                        3.520211                   -5.221356
## X190     -0.6583592                        4.479850                   -3.772261
## X191     -0.8510875                        4.037285                   -4.199705
## X192     -0.8000000                        4.479850                   -5.083206
## X193     -0.6288691                        3.637051                   -2.322788
## X194     -0.5303062                        4.037285                   -3.649659
## X195     -0.7834475                        3.810182                   -4.199705
## X197     -0.6583592                        3.980894                   -4.803621
## X198     -0.6583592                        4.037285                   -6.189915
## X200     -0.6435340                        2.854653                   -5.259097
## X201     -0.7510004                        4.908629                   -4.199705
## X202     -0.8510875                        3.342694                   -4.074542
## X205     -0.9607695                        4.315608                   -4.990833
## X208     -0.6288691                        4.037285                   -3.963316
## X210     -1.0000000                        4.534163                   -4.074542
## X212     -1.1753789                        1.936058                   -4.422849
## X213     -0.8000000                        4.534163                   -3.912023
## X214     -0.8686292                        3.342694                   -2.764621
## X215     -0.7350889                        3.752748                   -4.645992
## X216     -1.0619168                        4.479850                   -4.422849
## X218     -0.4125492                        4.908629                   -3.352407
## X219     -1.1753789                        3.637051                   -5.298317
## X220     -0.8864471                        3.637051                   -4.892852
## X223     -0.3875485                        4.149327                   -4.342806
## X224     -0.5577795                        2.854653                   -4.509860
## X225     -0.7350889                        3.752748                   -4.803621
## X226     -0.6583592                        4.037285                   -4.268698
## X227     -0.3875485                        3.752748                   -3.863233
## X228     -0.5303062                        1.796259                   -3.649659
## X229     -1.0000000                        3.520211                   -5.449140
## X230     -0.8000000                        4.908629                   -4.074542
## X231     -0.8864471                        3.752748                   -3.963316
## X232     -0.8510875                        4.479850                   -4.976234
## X233     -0.8510875                        3.040333                   -4.656463
## X234     -0.7193752                        3.752748                   -4.509860
## X236     -0.8864471                        3.282892                   -4.509860
## X237     -0.8000000                        3.637051                   -4.017384
## X239     -0.3875485                        3.342694                   -5.259097
## X240     -0.4900331                        2.854653                   -4.268698
## X241     -0.5857864                        4.149327                   -4.422849
## X242     -0.2000000                        2.791992                   -2.688248
## X243     -0.8338096                        3.637051                   -5.083206
## X244     -1.0202041                        4.093428                   -3.540459
## X245     -0.9045549                        4.479850                   -4.892852
## X246     -0.3386752                        3.752748                   -4.268698
## X247     -0.8510875                        4.479850                   -4.733004
## X249     -0.8000000                        4.149327                   -4.803621
## X250     -1.0834849                        3.040333                   -4.828314
## X251     -0.7510004                        3.101492                   -6.189915
## X253     -0.6288691                        4.093428                   -4.199705
## X254     -0.4900331                        4.149327                   -4.304754
## X255     -1.0834849                        3.637051                   -3.540459
## X256     -0.8864471                        3.101492                   -5.298317
## X257     -0.6733501                        3.637051                   -6.189915
## X258     -1.2254033                        5.580204                   -3.772261
## X260     -0.5857864                        4.037285                   -4.605170
## X261     -1.0202041                        3.101492                   -4.605170
## X262     -0.7510004                        4.037285                   -3.772261
## X263     -0.4379501                        4.037285                   -4.733004
## X264     -0.5577795                        4.093428                   -5.083206
## X265     -0.6583592                        3.810182                   -4.199705
## X267     -0.7193752                        4.149327                   -6.189915
## X268     -0.8510875                        4.479850                   -5.626821
## X269     -1.0619168                        3.520211                   -4.017384
## X270     -0.5857864                        3.578777                   -3.540459
## X271     -0.6583592                        4.908629                   -4.892852
## X272     -0.5577795                        4.908629                   -4.892852
## X273     -0.6583592                        4.479850                   -4.892852
## X274     -0.7510004                        3.578777                   -4.892852
## X275     -0.3386752                        3.342694                   -5.132803
## X277     -1.0000000                        4.534163                   -3.688879
## X278     -0.4900331                        3.101492                   -4.135167
## X279     -0.7671172                        3.980894                   -3.729701
## X281     -0.8864471                        4.908629                   -4.268698
## X282     -0.7834475                        4.315608                   -4.699481
## X283     -0.9801961                        4.479850                   -4.268698
## X287     -0.7834475                        2.791992                   -3.442019
## X289     -1.0619168                        2.407182                   -4.803621
## X290     -0.9607695                        3.342694                   -4.074542
## X291     -0.8864471                        5.580204                   -4.733004
## X292     -0.4900331                        4.149327                   -3.816713
## X294     -0.4379501                        2.407182                   -5.005648
## X297     -0.8864471                        2.601557                   -5.426151
## X298     -0.7834475                        2.208489                   -4.605170
## X299     -1.0000000                        4.534163                   -5.035953
## X301     -1.0202041                        3.101492                   -4.733004
## X302     -0.4900331                        3.342694                   -4.509860
## X303     -0.6288691                        4.908629                   -5.083206
## X304     -1.0202041                        3.867347                   -5.083206
## X305     -0.3147700                        4.908629                   -4.074542
## X306     -0.5577795                        4.534163                   -3.863233
## X307     -0.3147700                        4.315608                   -3.729701
## X308     -0.2450071                        1.796259                   -3.816713
## X311     -0.5303062                        4.479850                   -5.083206
## X312     -1.0202041                        3.637051                   -4.199705
## X313     -0.6583592                        3.040333                   -4.422849
## X314     -0.8510875                        4.037285                   -4.605170
## X315     -0.4900331                        2.854653                   -4.645992
## X316     -0.8686292                        3.810182                   -5.167289
## X317     -1.0834849                        3.810182                   -4.828314
## X320     -0.6288691                        3.342694                   -4.422849
## X321     -0.7834475                        2.791992                   -4.605170
## X322     -0.4508067                        4.093428                   -3.863233
## X323     -0.8510875                        4.037285                   -3.540459
## X324     -0.7350889                        3.342694                   -4.803621
## X325     -0.4379501                        3.578777                   -4.074542
## X326     -1.2000000                        4.037285                   -3.729701
## X327     -0.7193752                        5.273838                   -4.199705
## X329     -0.8864471                        3.637051                   -6.189915
## X330     -0.5717143                        4.534163                   -3.688879
## X331     -0.7510004                        4.260413                   -4.733004
## X332     -0.5857864                        4.479850                   -4.509860
## X333     -0.6583592                        4.037285                   -4.733004
##      Thyroxine_Binding_Globulin Tissue_Factor Transferrin Trefoil_Factor_3_TFF3
## X1                   -1.4271164    2.04122033    3.332205             -3.381395
## X2                   -1.6094379    2.02814825    2.890372             -3.912023
## X3                   -1.8971200    1.43508453    2.890372             -3.729701
## X5                   -0.4780358    1.98787435    3.496508             -3.442019
## X6                   -1.2378744   -0.01005034    2.995732             -4.342806
## X7                   -2.1202635    1.64865863    2.708050             -3.649659
## X8                   -1.3470736    0.40546511    2.833213             -4.268698
## X9                   -1.4696760    0.64185389    2.564949             -4.199705
## X11                  -1.3470736    1.41098697    2.772589             -4.017384
## X12                  -1.2729657    1.02961942    2.995732             -4.135167
## X14                  -1.2378744    1.09861229    2.995732             -3.963316
## X16                  -1.1711830    1.66770682    3.091042             -2.956512
## X17                  -0.9675840    0.69314718    2.708050             -4.135167
## X18                  -1.9661129    0.47000363    2.564949             -4.017384
## X19                  -1.8325815    0.18232156    2.639057             -4.342806
## X20                  -1.1394343    1.09861229    3.091042             -4.017384
## X21                  -1.8325815    0.33647224    2.564949             -3.816713
## X22                  -1.7719568    1.91692261    3.178054             -3.649659
## X23                  -1.6094379    0.69314718    2.302585             -4.268698
## X24                  -1.6607312    1.66770682    2.995732             -3.772261
## X25                  -1.9661129    0.69314718    2.564949             -4.268698
## X26                  -1.6607312    1.48160454    2.772589             -3.863233
## X28                  -1.7147984    1.52605630    2.890372             -3.816713
## X29                  -1.7719568    0.26236426    2.484907             -4.422849
## X30                  -1.8971200    0.95551145    2.564949             -4.017384
## X31                  -1.3862944    0.87546874    3.091042             -3.324236
## X34                  -1.2729657    0.74193734    2.772589             -3.863233
## X35                  -1.3093333    0.26236426    2.833213             -4.199705
## X36                  -0.6733446    0.91629073    3.526361             -3.729701
## X37                  -1.7147984    1.68639895    2.890372             -3.863233
## X38                  -1.6607312    1.02961942    2.772589             -4.017384
## X39                  -2.0402208    1.87180218    2.944439             -3.863233
## X40                  -1.2729657    0.99325177    3.091042             -3.729701
## X41                  -1.2378744    0.69314718    3.178054             -4.074542
## X42                  -1.7147984    1.22377543    2.708050             -4.074542
## X43                  -1.7147984    0.64185389    2.772589             -4.199705
## X44                  -1.5141277    1.25276297    3.091042             -3.442019
## X45                  -1.2039728    1.62924054    3.044522             -3.575551
## X46                  -2.0402208    1.75785792    2.944439             -3.729701
## X47                  -1.7147984    0.53062825    2.484907             -4.268698
## X48                  -1.8325815    1.84054963    2.639057             -3.575551
## X50                  -1.6094379    1.33500107    2.944439             -4.135167
## X51                  -1.4696760    1.19392247    3.044522             -3.575551
## X53                  -1.5141277    1.02961942    2.772589             -3.912023
## X55                  -1.6607312    1.48160454    2.833213             -3.963316
## X56                  -1.0498221    1.02961942    2.944439             -3.772261
## X57                  -1.3862944    1.70474809    2.944439             -3.270169
## X59                  -1.4271164    1.19392247    2.944439             -3.772261
## X60                  -1.8325815    0.99325177    2.708050             -3.863233
## X61                  -1.8325815    0.47000363    2.833213             -3.963316
## X62                  -2.3538784    0.69314718    2.564949             -4.268698
## X63                  -1.8325815    1.33500107    2.708050             -3.688879
## X64                  -0.6161861    0.64185389    3.218876             -3.442019
## X65                  -2.4769385    1.25276297    2.708050             -4.268698
## X67                  -1.9661129    1.66770682    2.890372             -4.074542
## X68                  -1.3862944    1.54756251    2.890372             -3.772261
## X69                  -1.9661129    0.53062825    2.397895             -4.422849
## X70                  -1.9661129    1.30833282    2.708050             -4.074542
## X71                  -1.7147984    1.30833282    2.833213             -3.729701
## X72                  -0.7339692    2.39789527    3.555348             -3.036554
## X73                  -1.6094379    1.62924054    2.995732             -3.270169
## X74                  -1.6607312   -0.12783337    2.708050             -4.074542
## X75                  -0.7550226    0.33647224    3.135494             -3.688879
## X76                  -1.5606477    1.58923521    3.044522             -3.816713
## X77                  -0.9416085    1.43508453    2.995732             -3.863233
## X78                  -1.2729657    1.82454929    3.367296             -3.123566
## X80                  -0.4942963    0.99325177    2.833213             -3.963316
## X81                  -1.3862944    1.06471074    2.833213             -4.017384
## X82                  -1.5141277    1.06471074    2.890372             -3.963316
## X83                  -1.0498221    1.30833282    2.890372             -3.729701
## X84                  -1.3470736    0.95551145    2.708050             -4.199705
## X85                  -1.2039728    1.52605630    3.218876             -3.575551
## X86                  -0.9416085    1.13140211    3.135494             -3.218876
## X88                  -1.2039728    1.48160454    2.708050             -3.324236
## X90                  -2.3025851   -0.21072103    1.945910             -4.677741
## X93                  -1.4696760    1.02961942    2.890372             -3.649659
## X94                  -0.6733446    1.82454929    3.496508             -3.079114
## X95                  -1.5606477    0.74193734    2.639057             -3.963316
## X96                  -1.6094379    1.48160454    2.772589             -3.963316
## X97                  -1.8325815    1.66770682    2.944439             -3.772261
## X98                  -1.8971200    0.87546874    2.708050             -4.074542
## X99                  -1.6607312    1.75785792    3.091042             -3.473768
## X100                 -1.4696760    1.43508453    3.044522             -3.912023
## X103                 -1.7719568    2.16332303    3.332205             -3.352407
## X104                 -1.4271164    1.30833282    2.833213             -3.963316
## X105                 -1.4271164    1.62924054    3.135494             -3.772261
## X107                 -1.4696760    1.45861502    3.091042             -4.017384
## X108                 -0.7765288    1.38629436    3.218876             -3.218876
## X109                 -2.3025851    1.02961942    2.564949             -4.268698
## X110                 -1.7719568    0.58778666    2.302585             -4.268698
## X111                 -1.6607312    1.38629436    2.890372             -4.074542
## X112                 -1.1394343    2.11625551    3.526361             -3.442019
## X113                 -0.8439701    1.43508453    3.178054             -3.863233
## X114                 -1.5606477    0.33647224    2.639057             -4.199705
## X115                 -0.9675840    0.91629073    2.890372             -4.074542
## X117                 -1.4696760    1.28093385    3.044522             -3.411248
## X118                 -1.8325815    1.64865863    2.772589             -3.540459
## X121                 -1.6607312    1.68639895    3.178054             -3.442019
## X123                 -1.3093333    0.18232156    2.639057             -4.017384
## X124                 -0.9675840    1.16315081    2.944439             -3.729701
## X126                 -1.5141277    1.19392247    2.639057             -4.268698
## X128                 -0.7985077    1.13140211    3.332205             -3.381395
## X129                 -1.5606477    0.58778666    2.484907             -4.135167
## X130                 -1.2039728    1.22377543    3.044522             -3.649659
## X131                 -1.6607312    1.28093385    2.708050             -4.268698
## X132                 -1.2729657    1.33500107    3.091042             -3.611918
## X133                 -1.0498221    1.02961942    3.295837             -3.729701
## X134                 -1.3093333    1.54756251    2.833213             -3.729701
## X135                 -1.1711830    1.66770682    3.258097             -3.244194
## X136                 -1.3093333    0.69314718    2.995732             -4.017384
## X137                 -1.8325815    0.99325177    2.772589             -4.342806
## X139                 -1.7147984    0.74193734    2.772589             -4.135167
## X140                 -1.7719568    1.45861502    2.833213             -3.912023
## X141                 -0.8675006    1.36097655    2.995732             -4.199705
## X143                 -1.6607312    0.33647224    2.890372             -3.649659
## X144                 -1.9661129    0.99325177    2.639057             -4.342806
## X145                 -2.0402208    1.28093385    2.484907             -4.342806
## X146                 -0.7133499    1.22377543    3.218876             -3.540459
## X147                 -1.4271164    1.68639895    2.944439             -3.729701
## X148                 -0.2107210    1.30833282    3.401197             -3.688879
## X149                 -2.0402208    1.16315081    2.772589             -4.268698
## X152                 -1.0216512    2.17475172    3.295837             -3.411248
## X153                 -0.6161861    1.19392247    3.367296             -3.963316
## X154                 -2.0402208    1.22377543    2.833213             -3.863233
## X155                 -1.3470736    1.22377543    2.772589             -4.199705
## X156                 -1.2039728    1.43508453    3.135494             -3.772261
## X157                 -1.4696760    1.38629436    2.890372             -3.729701
## X158                 -1.2039728    1.54756251    2.708050             -4.074542
## X159                 -1.6607312    0.83290912    2.639057             -4.342806
## X160                 -1.8971200    1.74046617    3.218876             -3.863233
## X161                 -1.2039728    1.06471074    3.091042             -3.729701
## X162                 -2.0402208    1.75785792    2.708050             -4.017384
## X163                 -2.0402208    1.09861229    2.708050             -4.422849
## X165                 -2.0402208    1.62924054    2.639057             -3.963316
## X166                 -2.3025851    1.13140211    2.708050             -4.199705
## X167                 -1.5606477    1.96009478    3.218876             -3.575551
## X168                 -1.6094379    1.48160454    2.890372             -4.017384
## X169                 -1.7719568    0.69314718    2.890372             -4.199705
## X170                 -1.3862944    0.33647224    2.772589             -4.268698
## X171                 -0.9942523    1.48160454    3.178054             -3.688879
## X172                 -1.6607312    1.19392247    2.772589             -4.199705
## X174                 -0.9675840    0.87546874    3.135494             -3.688879
## X175                 -0.8439701    1.41098697    3.135494             -3.611918
## X176                 -1.0788097    1.06471074    2.890372             -3.863233
## X177                 -1.7147984    1.52605630    3.044522             -3.729701
## X178                 -1.8971200    0.53062825    2.564949             -4.017384
## X179                 -0.8728085    0.58778666    3.583519             -3.079114
## X180                 -1.5606477    1.45861502    2.944439             -3.649659
## X181                 -1.8325815    0.47000363    2.564949             -4.268698
## X182                 -1.7719568    1.19392247    2.833213             -3.863233
## X183                 -1.3862944    0.00000000    3.091042             -3.816713
## X184                 -1.8325815    1.25276297    3.218876             -3.688879
## X185                 -1.0788097    1.06471074    3.178054             -3.863233
## X186                 -1.7147984    0.95551145    2.833213             -4.017384
## X189                 -1.9661129    1.30833282    2.708050             -4.744432
## X190                 -1.5141277    1.62924054    2.772589             -3.912023
## X191                 -1.5606477    1.09861229    2.833213             -4.135167
## X192                 -1.5606477    2.10413415    3.091042             -3.688879
## X193                 -1.3862944    1.54756251    3.044522             -3.772261
## X194                 -1.5141277    0.83290912    2.639057             -4.135167
## X195                 -1.7719568    2.11625551    3.258097             -3.688879
## X197                 -1.2378744    1.54756251    3.044522             -3.575551
## X198                 -1.5141277    0.78845736    2.708050             -4.342806
## X200                 -1.8971200    1.38629436    3.178054             -3.912023
## X201                 -1.3470736    0.74193734    2.708050             -3.863233
## X202                 -2.1202635    0.58778666    2.564949             -4.199705
## X205                 -1.7147984    1.36097655    2.772589             -3.772261
## X208                 -0.7133499    1.25276297    3.135494             -3.912023
## X210                 -1.2729657    1.36097655    3.135494             -3.506558
## X212                 -1.4696760    0.91629073    2.772589             -3.863233
## X213                 -1.0788097    1.41098697    3.044522             -3.772261
## X214                 -1.7147984    1.38629436    2.833213             -3.540459
## X215                 -1.9661129    1.38629436    2.772589             -4.135167
## X216                 -1.1394343    0.74193734    2.890372             -4.268698
## X218                 -0.8675006    0.83290912    3.295837             -3.729701
## X219                 -2.0402208    0.83290912    2.639057             -3.963316
## X220                 -1.7147984    1.16315081    2.772589             -4.135167
## X223                 -1.3470736    1.41098697    3.218876             -3.863233
## X224                 -1.8325815    1.48160454    2.944439             -4.199705
## X225                 -1.5606477    2.39789527    2.995732             -3.473768
## X226                 -1.5606477    1.85629799    3.044522             -3.352407
## X227                 -0.9675840    1.16315081    3.496508             -3.912023
## X228                 -1.8971200    1.06471074    2.708050             -4.509860
## X229                 -1.6607312    0.69314718    2.772589             -4.199705
## X230                 -1.8325815    0.95551145    2.890372             -3.649659
## X231                 -1.4696760    0.83290912    2.639057             -4.268698
## X232                 -1.3470736    0.91629073    2.833213             -4.135167
## X233                 -1.4696760    0.47000363    2.639057             -4.422849
## X234                 -1.1394343    0.95551145    2.833213             -4.017384
## X236                 -1.8971200    1.13140211    2.484907             -4.342806
## X237                 -0.9675840    1.19392247    2.890372             -3.506558
## X239                 -1.9661129    0.18232156    2.302585             -4.268698
## X240                 -1.7147984    0.47000363    2.639057             -4.074542
## X241                 -0.9942523    1.43508453    3.044522             -3.540459
## X242                 -0.9535408    0.47000363    3.285794             -3.729701
## X243                 -1.2378744    0.58778666    2.772589             -4.135167
## X244                 -1.4271164    1.36097655    2.833213             -3.611918
## X245                 -2.0402208    0.09531018    1.931521             -4.744432
## X246                 -1.2039728    0.78845736    3.178054             -3.411248
## X247                 -2.1202635    0.74193734    2.397895             -4.199705
## X249                 -2.1202635    2.11625551    2.833213             -3.649659
## X250                 -1.5141277    1.38629436    2.944439             -3.772261
## X251                 -1.7147984    0.83290912    2.708050             -4.135167
## X253                 -0.8439701    1.06471074    2.890372             -3.729701
## X254                 -1.0788097    2.48490665    3.367296             -3.123566
## X255                 -1.1086626    1.70474809    3.218876             -3.381395
## X256                 -2.2072749    1.19392247    2.564949             -4.199705
## X257                 -1.9661129    0.64185389    2.302585             -4.509860
## X258                 -1.2039728    1.41098697    3.401197             -3.442019
## X260                 -1.2729657    1.16315081    2.772589             -4.135167
## X261                 -1.7147984    0.58778666    2.564949             -4.199705
## X262                 -1.8325815    0.78845736    2.484907             -4.605170
## X263                 -0.9675840    1.48160454    3.091042             -3.194183
## X264                 -0.6539265    1.28093385    2.944439             -3.772261
## X265                 -1.3470736    1.30833282    2.890372             -3.816713
## X267                 -1.7147984    1.43508453    3.091042             -3.473768
## X268                 -1.7719568    1.50407740    2.772589             -3.688879
## X269                 -1.7719568    0.74193734    2.772589             -4.135167
## X270                 -1.8971200    1.85629799    2.995732             -3.729701
## X271                 -1.2378744    1.41098697    2.995732             -3.506558
## X272                 -1.1394343    1.36097655    2.995732             -3.772261
## X273                 -1.5141277    1.28093385    2.772589             -3.540459
## X274                 -1.5141277    1.30833282    2.833213             -4.342806
## X275                 -1.3093333    1.98787435    3.044522             -3.381395
## X277                 -1.0788097    0.87546874    3.091042             -4.509860
## X278                 -1.3862944    1.25276297    3.044522             -3.442019
## X279                 -1.4271164    0.58778666    2.890372             -3.772261
## X281                 -1.5606477    1.38629436    2.944439             -3.863233
## X282                 -1.2378744    0.83290912    2.890372             -4.199705
## X283                 -1.2378744    1.56861592    3.135494             -3.244194
## X287                 -1.7147984    1.70474809    3.044522             -3.912023
## X289                 -1.7147984    0.64185389    2.708050             -4.422849
## X290                 -1.7719568    0.95551145    2.708050             -4.017384
## X291                 -1.5606477    1.72276660    2.890372             -4.017384
## X292                 -1.0216512    1.87180218    3.135494             -3.411248
## X294                 -1.8971200    0.47000363    2.564949             -4.135167
## X297                 -1.6607312    1.13140211    2.772589             -3.963316
## X298                 -1.7719568    0.53062825    3.044522             -3.963316
## X299                 -1.8325815    1.19392247    2.890372             -3.816713
## X301                 -1.8971200    0.40546511    2.639057             -4.017384
## X302                 -1.4696760    0.09531018    2.772589             -4.135167
## X303                 -1.3470736    1.16315081    2.995732             -3.816713
## X304                 -1.6607312    2.02814825    2.944439             -3.912023
## X305                 -1.4271164    1.22377543    2.890372             -3.575551
## X306                 -0.8915981    1.84054963    3.761200             -3.218876
## X307                 -0.8209806    1.52605630    3.367296             -3.352407
## X308                 -1.2729657    1.58923521    3.258097             -3.473768
## X311                 -1.2039728    0.87546874    2.833213             -3.912023
## X312                 -1.2378744    1.56861592    2.995732             -3.729701
## X313                 -1.2729657    0.99325177    2.944439             -4.017384
## X314                 -1.7147984    1.43508453    2.708050             -4.074542
## X315                 -0.9942523    0.99325177    3.295837             -3.540459
## X316                 -1.7719568    1.64865863    2.890372             -4.268698
## X317                 -1.6607312    1.70474809    2.890372             -3.772261
## X320                 -1.3093333    0.74193734    3.332205             -3.816713
## X321                 -1.2378744   -0.06187540    3.044522             -4.017384
## X322                 -1.2729657    1.56861592    3.218876             -3.575551
## X323                 -1.3862944    1.45861502    2.944439             -3.649659
## X324                 -2.0402208    0.91629073    2.282382             -3.863233
## X325                 -0.9675840    1.33500107    3.044522             -3.575551
## X326                 -1.6607312    0.91629073    2.772589             -3.963316
## X327                 -1.5606477    1.28093385    2.995732             -4.074542
## X329                 -1.8971200    1.41098697    2.944439             -3.863233
## X330                 -0.4780358    0.47000363    3.496508             -4.268698
## X331                 -1.6607312    0.74193734    2.639057             -4.605170
## X332                 -1.2729657    0.18232156    2.890372             -4.074542
## X333                 -1.4696760    2.17475172    3.367296             -3.863233
##        VCAM_1     VEGF Vitronectin von_Willebrand_Factor E4 E3 E2
## X1   3.258097 22.03456 -0.04082199             -3.146555  1  2  1
## X2   2.708050 18.60184 -0.38566248             -3.863233  2  2  1
## X3   2.639057 17.47619 -0.22314355             -3.540459  2  2  1
## X5   3.044522 20.77860  0.16621555             -3.816713  1  2  1
## X6   2.208274 13.19761  0.26236426             -4.509860  2  1  1
## X7   2.639057 17.91139 -0.37106368             -4.017384  1  2  2
## X8   2.564949 13.26878  0.00000000             -4.199705  1  2  2
## X9   2.564949 15.77258 -0.82098055             -4.268698  1  2  1
## X11  2.708050 15.65264 -0.11653382             -3.611918  2  2  1
## X12  2.397895 17.16420 -0.15082289             -4.199705  1  2  2
## X14  2.833213 15.95757 -0.09431068             -3.442019  2  2  1
## X16  3.218876 17.47619 -0.19845094             -3.863233  2  2  1
## X17  3.135494 13.14977 -0.30110509             -4.199705  1  2  1
## X18  2.564949 14.00853 -0.57981850             -3.816713  2  2  1
## X19  2.890372 15.09899 -0.49429632             -4.268698  1  2  1
## X20  2.639057 17.29317 -0.11653382             -3.506558  2  1  2
## X21  2.639057 13.72601 -0.65392647             -4.268698  2  2  1
## X22  2.944439 19.75007 -0.63487827             -3.611918  1  2  1
## X23  1.945910 14.83572 -0.44628710             -4.342806  2  2  1
## X24  2.890372 17.17862 -0.63487827             -3.649659  1  2  1
## X25  2.302585 15.38951 -0.49429632             -4.342806  2  1  1
## X26  2.397895 16.85569 -0.73396918             -3.863233  2  2  1
## X28  2.833213 16.42640 -0.12783337             -4.342806  1  2  1
## X29  2.230014 14.70067 -0.51082562             -4.342806  2  1  1
## X30  2.397895 15.08048 -0.52763274             -4.342806  1  2  2
## X31  2.995732 17.09173 -0.17435339             -3.863233  1  2  1
## X34  2.772589 15.53091 -0.09431068             -4.074542  2  2  1
## X35  2.028148 14.98724 -0.23572233             -4.342806  2  2  1
## X36  3.135494 15.72139  0.33647224             -3.611918  1  2  2
## X37  2.564949 17.14975 -0.75502258             -3.729701  2  2  1
## X38  2.639057 15.66988 -0.61618614             -3.963316  1  2  1
## X39  2.833213 18.65101 -0.49429632             -3.575551  1  2  1
## X40  2.639057 16.10590 -0.21072103             -3.575551  1  2  1
## X41  2.708050 14.91184  0.09531018             -4.017384  1  2  1
## X42  2.708050 17.34988 -0.43078292             -4.074542  2  2  1
## X43  2.302585 14.96846 -0.40047757             -4.135167  1  2  1
## X44  2.995732 18.23746 -0.22314355             -3.575551  2  2  1
## X45  3.258097 17.09173 -0.26136476             -3.912023  1  2  1
## X46  2.708050 18.91693 -0.65392647             -3.411248  1  2  1
## X47  2.397895 15.35377 -0.49429632             -4.342806  1  2  1
## X48  3.091042 19.83721 -0.69314718             -3.170086  1  2  2
## X50  2.890372 17.14975 -0.19845094             -3.688879  1  2  1
## X51  2.944439 19.04716 -0.01005034             -3.381395  1  2  1
## X53  2.772589 17.76415 -0.30110509             -4.074542  1  2  1
## X55  2.564949 18.18606 -0.43078292             -3.912023  2  1  1
## X56  2.708050 16.78059 -0.01005034             -3.863233  1  2  1
## X57  2.944439 19.62899 -0.65392647             -3.506558  1  2  1
## X59  3.091042 16.05675 -0.44628710             -3.218876  2  2  1
## X60  2.708050 15.77258 -0.37106368             -4.135167  1  2  1
## X61  2.708050 15.53091 -0.40047757             -3.912023  1  2  1
## X62  2.028148 16.61303 -0.61618614             -4.342806  1  2  1
## X63  2.833213 16.70483 -0.31471074             -3.649659  1  2  1
## X64  2.708050 15.75555  0.09531018             -3.963316  2  2  1
## X65  2.564949 16.42640 -0.96758403             -3.863233  1  2  1
## X67  2.484907 17.44828 -0.96758403             -3.963316  2  2  1
## X68  2.639057 18.14732 -0.26136476             -4.342806  1  2  1
## X69  2.282382 14.70067 -0.43078292             -3.963316  1  2  1
## X70  2.890372 18.25027 -0.63487827             -3.816713  1  2  1
## X71  2.484907 17.81797 -0.37106368             -3.649659  1  2  2
## X72  3.610918 19.86969  0.47000363             -3.490408  1  2  1
## X73  3.091042 19.29097 -0.56211892             -3.411248  1  2  2
## X74  2.302585 13.98717 -0.05129329             -4.605170  1  2  1
## X75  2.772589 15.02467 -0.01005034             -3.575551  1  2  1
## X76  2.772589 18.14732 -0.40047757             -3.863233  2  2  1
## X77  2.639057 17.53176 -0.01005034             -3.442019  2  2  1
## X78  3.044522 20.00922 -0.09431068             -3.352407  2  2  1
## X80  3.091042 19.12912  0.09531018             -3.912023  1  2  1
## X81  2.639057 15.77258 -0.23572233             -4.017384  1  2  1
## X82  2.772589 16.28369 -0.51082562             -4.017384  2  2  1
## X83  2.772589 17.50402  0.00000000             -4.721704  1  2  2
## X84  2.484907 16.95974 -0.47803580             -3.963316  2  2  1
## X85  2.890372 20.15734 -0.09431068             -3.442019  1  2  1
## X86  3.295837 16.73521 -0.04082199             -3.218876  1  2  2
## X88  3.178054 17.84476 -0.31471074             -3.729701  2  2  1
## X90  2.292535 14.07222 -1.13943428             -4.990833  1  2  1
## X93  2.833213 18.09542 -0.51082562             -3.442019  2  2  1
## X94  3.688879 20.79835  0.18232156             -3.218876  1  2  1
## X95  2.890372 15.80652 -0.57981850             -3.688879  1  2  1
## X96  2.639057 17.61447 -0.32850407             -3.863233  2  2  1
## X97  2.564949 17.23608 -0.89159812             -4.199705  2  2  1
## X98  2.197225 16.02382 -0.46203546             -4.509860  1  2  2
## X99  2.944439 17.62818 -0.41551544             -3.079114  1  2  1
## X100 2.397895 18.36473  0.09531018             -3.772261  2  2  1
## X103 3.044522 20.92578 -0.65392647             -3.324236  1  2  2
## X104 2.772589 19.23348 -0.40047757             -3.688879  2  2  1
## X105 2.833213 18.41515 -0.23572233             -3.912023  1  2  1
## X107 2.708050 18.12141 -0.07257069             -3.912023  2  2  1
## X108 2.833213 18.67549  0.18232156             -4.074542  1  2  1
## X109 2.128232 15.75555 -0.77652879             -4.342806  1  2  2
## X110 1.960095 13.38584 -0.99425227             -3.912023  1  2  2
## X111 2.772589 19.35952 -0.59783700             -4.017384  2  2  1
## X112 3.044522 18.88110  0.26236426             -3.575551  1  2  1
## X113 2.944439 15.68709  0.26236426             -3.506558  2  2  1
## X114 2.079442 13.36258 -0.15082289             -4.268698  2  2  1
## X115 2.833213 15.13589 -0.02020271             -4.017384  2  2  1
## X117 2.995732 17.92466 -0.22314355             -3.816713  1  2  1
## X118 2.995732 17.66918 -0.57981850             -3.575551  1  2  1
## X121 3.044522 16.82573 -0.41551544             -3.194183  2  2  1
## X123 2.251292 14.19800 -0.54472718             -4.017384  2  2  1
## X124 2.708050 16.94495  0.33647224             -3.729701  1  2  1
## X126 2.564949 15.99076 -0.57981850             -4.074542  2  2  1
## X128 2.708050 18.65101  0.18232156             -3.816713  2  2  1
## X129 2.397895 13.92275 -0.61618614             -4.605170  2  2  1
## X130 2.772589 17.46224 -0.16251893             -3.863233  1  2  1
## X131 2.282382 17.01865 -0.49429632             -4.422849  1  2  1
## X132 2.639057 18.17317 -0.22314355             -3.963316  2  1  1
## X133 2.944439 16.26768 -0.08338161             -3.963316  2  2  1
## X134 2.944439 17.40624 -0.27443685             -3.816713  2  2  1
## X135 2.833213 18.51518 -0.18632958             -3.611918  1  2  2
## X136 2.708050 17.68281 -0.23572233             -3.649659  2  2  1
## X137 2.128232 16.61303 -0.51082562             -3.649659  2  1  2
## X139 2.251292 15.82344 -0.19845094             -4.268698  2  2  1
## X140 2.639057 16.75036 -0.24846136             -3.963316  2  1  2
## X141 2.564949 17.96435  0.09531018             -4.017384  2  2  1
## X143 2.772589 16.65905 -0.03045921             -4.074542  1  2  1
## X144 2.708050 14.19800 -0.27443685             -3.863233  2  2  1
## X145 2.302585 16.07317 -0.77652879             -4.342806  1  2  1
## X146 3.044522 17.62818 -0.09431068             -3.442019  2  2  1
## X147 2.708050 17.37811 -0.52763274             -3.381395  2  2  1
## X148 2.833213 18.63874  0.47000363             -4.017384  1  2  1
## X149 2.302585 16.68960 -0.35667494             -3.963316  1  2  2
## X152 3.332205 17.76415 -0.04082199             -3.218876  2  2  1
## X153 2.890372 16.81071  0.18232156             -3.912023  1  2  1
## X154 2.397895 16.13851 -0.41551544             -4.199705  1  2  1
## X155 2.302585 15.40733 -0.15082289             -4.135167  2  1  1
## X156 2.833213 18.62646 -0.09431068             -3.540459  1  2  1
## X157 3.135494 17.07716 -0.40047757             -3.324236  1  2  2
## X158 2.639057 17.89810 -0.59783700             -3.772261  2  2  1
## X159 2.772589 14.70067 -0.38566248             -3.611918  1  2  1
## X160 2.944439 19.49518 -0.35667494             -3.729701  1  2  2
## X161 2.833213 17.61447 -0.02020271             -3.963316  1  2  1
## X162 2.564949 18.42771 -0.73396918             -3.963316  1  2  1
## X163 2.066863 16.10590 -0.57981850             -4.615221  2  2  1
## X165 2.890372 16.47344 -0.94160854             -3.575551  2  2  1
## X166 2.208274 16.18718 -0.71334989             -4.135167  1  2  1
## X167 2.995732 19.88049 -0.71334989             -4.422849  1  2  1
## X168 2.772589 16.95974 -0.08338161             -4.199705  1  2  1
## X169 2.251292 15.51337 -0.54472718             -4.199705  1  2  2
## X170 2.397895 13.85775 -0.02020271             -3.963316  1  2  1
## X171 3.091042 16.41066  0.09531018             -4.074542  1  2  1
## X172 2.564949 17.60073 -0.30110509             -4.509860  1  2  1
## X174 2.772589 16.73521  0.26236426             -3.912023  1  2  1
## X175 2.772589 16.56675  0.09531018             -4.268698  1  2  1
## X176 2.708050 16.25164 -0.01005034             -3.575551  1  2  1
## X177 2.708050 18.49027 -0.47803580             -3.772261  1  2  1
## X178 1.931521 15.02467 -1.42711636             -4.422849  1  2  1
## X179 2.772589 18.27583  0.53062825             -3.772261  1  2  2
## X180 3.295837 15.87400 -0.51082562             -3.912023  1  2  1
## X181 2.397895 16.28369 -0.34249031             -4.268698  1  2  1
## X182 2.564949 18.41515 -0.49429632             -3.649659  1  2  2
## X183 2.484907 14.54339 -0.04082199             -3.863233  2  2  1
## X184 2.708050 18.33941 -0.69314718             -3.611918  2  2  1
## X185 2.302585 18.06935 -0.01005034             -3.649659  2  2  1
## X186 2.261763 15.42510 -0.47803580             -4.074542  2  2  1
## X189 2.484907 17.47619 -0.84397007             -3.772261  1  2  1
## X190 2.772589 19.25652 -0.59783700             -3.963316  1  2  2
## X191 2.708050 16.88555 -0.10536052             -3.963316  2  1  1
## X192 3.044522 19.21038 -0.47803580             -4.074542  2  1  2
## X193 3.178054 15.78957 -0.37106368             -3.381395  2  1  1
## X194 2.302585 16.44211 -0.41551544             -4.074542  2  2  1
## X195 3.044522 17.64187 -0.31471074             -3.540459  1  2  1
## X197 3.044522 17.95114  0.00000000             -3.611918  2  2  1
## X198 2.484907 15.75555 -0.46203546             -4.755993  2  1  2
## X200 2.772589 19.40495 -0.51082562             -3.575551  2  2  1
## X201 2.484907 18.08239 -0.22314355             -4.268698  1  2  1
## X202 2.302585 14.23946 -0.69314718             -4.422849  2  2  1
## X205 2.772589 16.93014 -0.54472718             -3.863233  1  2  1
## X208 2.772589 17.96435  0.26236426             -3.649659  2  2  1
## X210 2.772589 16.88555 -0.41551544             -3.473768  2  2  1
## X212 2.772589 15.17262 -0.21072103             -4.342806  2  1  1
## X213 2.708050 16.72003 -0.05129329             -3.611918  2  2  1
## X214 2.995732 16.08955 -0.18632958             -2.956512  1  2  1
## X215 2.302585 17.06257 -0.89159812             -3.963316  1  2  1
## X216 2.708050 17.60073  0.09531018             -4.342806  2  2  1
## X218 2.833213 16.28369  0.33647224             -4.074542  1  2  1
## X219 2.397895 16.55127 -0.41551544             -4.268698  1  2  1
## X220 2.302585 15.40733 -0.44628710             -4.135167  1  2  1
## X223 2.639057 17.14975  0.00000000             -4.135167  2  2  1
## X224 2.639057 17.83137 -0.37106368             -3.729701  1  2  1
## X225 3.135494 20.29296 -0.69314718             -3.473768  1  2  1
## X226 3.091042 21.33654 -0.41551544             -3.442019  1  2  1
## X227 2.708050 18.37736  0.24233051             -3.772261  1  2  1
## X228 2.272126 14.75884 -0.63487827             -4.268698  1  2  1
## X229 2.230014 12.70378 -0.15082289             -4.755993  2  1  1
## X230 2.833213 18.03012 -0.26136476             -3.411248  1  2  2
## X231 2.484907 17.17862 -0.26136476             -3.912023  1  2  1
## X232 2.397895 18.19894 -0.24846136             -4.135167  1  2  2
## X233 2.041220 15.19092 -0.22314355             -4.656463  2  1  1
## X234 2.708050 15.75555 -0.12783337             -4.268698  1  2  2
## X236 2.208274 15.63536 -0.44628710             -4.268698  1  2  1
## X237 2.564949 16.78059  0.00000000             -4.199705  1  2  1
## X239 2.302585 11.83075 -0.82098055             -4.268698  1  2  1
## X240 2.564949 15.58331 -0.47803580             -3.912023  1  2  1
## X241 2.397895 17.88480  0.26236426             -3.912023  1  2  1
## X242 2.995732 14.34213  0.14249286             -3.729701  1  2  1
## X243 2.484907 14.05105  0.18232156             -3.963316  1  2  1
## X244 2.944439 17.43429 -0.43078292             -3.506558  2  2  1
## X245 1.722767 13.50102 -0.77652879             -4.422849  1  2  1
## X246 2.890372 17.23608  0.18232156             -3.473768  1  2  2
## X247 2.151762 16.26768 -0.73396918             -4.342806  2  2  1
## X249 3.044522 19.12912 -0.65392647             -3.270169  2  1  2
## X250 2.639057 17.88480 -0.02020271             -3.772261  2  1  2
## X251 2.564949 17.32157 -0.67334455             -4.017384  2  2  1
## X253 2.944439 17.50402 -0.03045921             -3.411248  1  2  1
## X254 3.637586 22.38015  0.00000000             -3.218876  1  2  1
## X255 2.890372 17.26467  0.00000000             -3.473768  2  2  1
## X256 2.282382 14.83572 -0.84397007             -4.268698  2  2  1
## X257 2.272126 14.89288 -0.63487827             -4.199705  2  2  1
## X258 2.890372 18.73643  0.00000000             -3.296837  2  2  1
## X260 2.639057 17.26467  0.09531018             -4.017384  1  2  1
## X261 2.128232 14.13537 -0.59783700             -4.199705  1  2  1
## X262 2.079442 16.90044 -0.44628710             -4.422849  1  2  1
## X263 2.890372 19.52881  0.26236426             -3.270169  1  2  1
## X264 3.044522 17.51790  0.09531018             -4.074542  2  2  1
## X265 2.639057 17.89810 -0.22314355             -4.422849  1  2  1
## X267 2.944439 18.18606 -0.56211892             -3.352407  2  2  1
## X268 2.564949 18.60184 -0.21072103             -3.963316  1  2  1
## X269 2.397895 16.85569 -0.47803580             -4.509860  2  2  1
## X270 3.178054 18.19894 -0.65392647             -3.729701  1  2  1
## X271 2.944439 18.09542 -0.09431068             -3.442019  2  2  1
## X272 2.484907 18.73643  0.09531018             -4.509860  1  2  2
## X273 3.044522 17.51790 -0.34249031             -4.074542  1  2  1
## X274 2.564949 17.20740 -0.23572233             -3.912023  1  2  1
## X275 2.833213 18.21180 -0.13926207             -3.611918  1  2  2
## X277 2.833213 16.10590  0.18232156             -3.611918  1  2  1
## X278 3.044522 17.61447 -0.08338161             -3.863233  1  2  1
## X279 2.639057 16.39490 -0.21072103             -3.963316  2  2  1
## X281 2.833213 15.90753 -0.47803580             -3.912023  2  2  1
## X282 2.484907 17.12079  0.09531018             -3.540459  2  2  1
## X283 3.091042 21.12839 -0.32850407             -3.649659  1  2  2
## X287 2.302585 17.87147 -0.22314355             -3.540459  1  2  2
## X289 2.397895 14.91184 -0.21072103             -4.342806  1  2  1
## X290 2.564949 14.77813 -0.57981850             -3.729701  1  2  1
## X291 2.292535 15.22740 -0.31471074             -3.729701  1  2  2
## X292 3.218876 19.42759  0.09531018             -4.199705  1  2  1
## X294 2.564949 13.92275 -0.47803580             -4.342806  1  1  2
## X297 2.564949 16.62839 -0.56211892             -4.017384  1  2  1
## X298 2.772589 16.37910 -0.12783337             -3.772261  1  2  1
## X299 2.708050 16.87063 -0.69314718             -3.863233  2  2  1
## X301 2.890372 15.19092  0.00000000             -4.268698  2  2  1
## X302 2.066863 14.40307 -0.19845094             -4.947660  1  2  1
## X303 2.772589 17.76415  0.18232156             -4.074542  1  2  1
## X304 2.708050 17.80454 -0.75502258             -3.688879  2  1  1
## X305 3.135494 21.09010 -0.43078292             -4.017384  1  2  1
## X306 2.995732 19.25652  0.26236426             -3.352407  1  2  2
## X307 2.772589 18.45279  0.18232156             -3.575551  1  2  1
## X308 2.944439 17.92466 -0.10536052             -3.816713  2  2  1
## X311 2.484907 15.42510 -0.18632958             -3.912023  2  2  1
## X312 2.833213 20.78848 -0.05129329             -3.772261  2  1  2
## X313 2.708050 16.41066  0.09531018             -4.268698  1  2  1
## X314 2.708050 16.88555 -0.71334989             -4.268698  1  2  1
## X315 2.833213 16.58220  0.18232156             -3.729701  1  2  1
## X316 2.564949 17.49011 -0.61618614             -4.017384  1  2  1
## X317 2.639057 17.61447 -0.40047757             -3.296837  1  2  1
## X320 2.944439 16.41066  0.47000363             -4.605170  2  2  1
## X321 2.397895 12.70378  0.26236426             -4.635629  1  2  1
## X322 3.178054 17.73712 -0.04082199             -3.575551  1  1  2
## X323 3.135494 18.54002 -0.61618614             -3.352407  1  2  1
## X324 2.484907 15.87400 -0.69314718             -3.473768  2  2  1
## X325 3.044522 18.42771  0.18232156             -3.575551  1  2  2
## X326 2.890372 16.97451 -0.69314718             -4.268698  2  2  1
## X327 2.564949 19.05891 -0.44628710             -3.649659  2  2  1
## X329 2.292535 17.51790 -0.44628710             -3.729701  1  2  1
## X330 2.564949 15.61805  0.20543916             -4.509860  2  2  1
## X331 2.302585 14.54339 -0.47803580             -4.509860  1  2  1
## X332 2.564949 16.36327  0.18232156             -4.342806  1  2  1
## X333 2.944439 22.34608 -0.32850407             -4.074542  2  2  1
## 
## $usekernel
## [1] TRUE
## 
## $varnames
##   [1] "ACE_CD143_Angiotensin_Converti"   "ACTH_Adrenocorticotropic_Hormon" 
##   [3] "AXL"                              "Adiponectin"                     
##   [5] "Alpha_1_Antichymotrypsin"         "Alpha_1_Antitrypsin"             
##   [7] "Alpha_1_Microglobulin"            "Alpha_2_Macroglobulin"           
##   [9] "Angiopoietin_2_ANG_2"             "Angiotensinogen"                 
##  [11] "Apolipoprotein_A_IV"              "Apolipoprotein_A1"               
##  [13] "Apolipoprotein_A2"                "Apolipoprotein_B"                
##  [15] "Apolipoprotein_CI"                "Apolipoprotein_CIII"             
##  [17] "Apolipoprotein_D"                 "Apolipoprotein_E"                
##  [19] "Apolipoprotein_H"                 "B_Lymphocyte_Chemoattractant_BL" 
##  [21] "BMP_6"                            "Beta_2_Microglobulin"            
##  [23] "Betacellulin"                     "C_Reactive_Protein"              
##  [25] "CD40"                             "CD5L"                            
##  [27] "Calbindin"                        "Calcitonin"                      
##  [29] "CgA"                              "Clusterin_Apo_J"                 
##  [31] "Complement_3"                     "Complement_Factor_H"             
##  [33] "Connective_Tissue_Growth_Factor"  "Cortisol"                        
##  [35] "Creatine_Kinase_MB"               "Cystatin_C"                      
##  [37] "EGF_R"                            "EN_RAGE"                         
##  [39] "ENA_78"                           "Eotaxin_3"                       
##  [41] "FAS"                              "FSH_Follicle_Stimulation_Hormon" 
##  [43] "Fas_Ligand"                       "Fatty_Acid_Binding_Protein"      
##  [45] "Ferritin"                         "Fetuin_A"                        
##  [47] "Fibrinogen"                       "GRO_alpha"                       
##  [49] "Gamma_Interferon_induced_Monokin" "Glutathione_S_Transferase_alpha" 
##  [51] "HB_EGF"                           "HCC_4"                           
##  [53] "Hepatocyte_Growth_Factor_HGF"     "I_309"                           
##  [55] "ICAM_1"                           "IGF_BP_2"                        
##  [57] "IL_11"                            "IL_13"                           
##  [59] "IL_16"                            "IL_17E"                          
##  [61] "IL_1alpha"                        "IL_3"                            
##  [63] "IL_4"                             "IL_5"                            
##  [65] "IL_6"                             "IL_6_Receptor"                   
##  [67] "IL_7"                             "IL_8"                            
##  [69] "IP_10_Inducible_Protein_10"       "IgA"                             
##  [71] "Insulin"                          "Kidney_Injury_Molecule_1_KIM_1"  
##  [73] "LOX_1"                            "Leptin"                          
##  [75] "Lipoprotein_a"                    "MCP_1"                           
##  [77] "MCP_2"                            "MIF"                             
##  [79] "MIP_1alpha"                       "MIP_1beta"                       
##  [81] "MMP_2"                            "MMP_3"                           
##  [83] "MMP10"                            "MMP7"                            
##  [85] "Myoglobin"                        "NT_proBNP"                       
##  [87] "NrCAM"                            "Osteopontin"                     
##  [89] "PAI_1"                            "PAPP_A"                          
##  [91] "PLGF"                             "PYY"                             
##  [93] "Pancreatic_polypeptide"           "Prolactin"                       
##  [95] "Prostatic_Acid_Phosphatase"       "Protein_S"                       
##  [97] "Pulmonary_and_Activation_Regulat" "RANTES"                          
##  [99] "Resistin"                         "S100b"                           
## [101] "SGOT"                             "SHBG"                            
## [103] "SOD"                              "Serum_Amyloid_P"                 
## [105] "Sortilin"                         "Stem_Cell_Factor"                
## [107] "TGF_alpha"                        "TIMP_1"                          
## [109] "TNF_RII"                          "TRAIL_R3"                        
## [111] "TTR_prealbumin"                   "Tamm_Horsfall_Protein_THP"       
## [113] "Thrombomodulin"                   "Thrombopoietin"                  
## [115] "Thymus_Expressed_Chemokine_TECK"  "Thyroid_Stimulating_Hormone"     
## [117] "Thyroxine_Binding_Globulin"       "Tissue_Factor"                   
## [119] "Transferrin"                      "Trefoil_Factor_3_TFF3"           
## [121] "VCAM_1"                           "VEGF"                            
## [123] "Vitronectin"                      "von_Willebrand_Factor"           
## [125] "E4"                               "E3"                              
## [127] "E2"                              
## 
## $xNames
##   [1] "ACE_CD143_Angiotensin_Converti"   "ACTH_Adrenocorticotropic_Hormon" 
##   [3] "AXL"                              "Adiponectin"                     
##   [5] "Alpha_1_Antichymotrypsin"         "Alpha_1_Antitrypsin"             
##   [7] "Alpha_1_Microglobulin"            "Alpha_2_Macroglobulin"           
##   [9] "Angiopoietin_2_ANG_2"             "Angiotensinogen"                 
##  [11] "Apolipoprotein_A_IV"              "Apolipoprotein_A1"               
##  [13] "Apolipoprotein_A2"                "Apolipoprotein_B"                
##  [15] "Apolipoprotein_CI"                "Apolipoprotein_CIII"             
##  [17] "Apolipoprotein_D"                 "Apolipoprotein_E"                
##  [19] "Apolipoprotein_H"                 "B_Lymphocyte_Chemoattractant_BL" 
##  [21] "BMP_6"                            "Beta_2_Microglobulin"            
##  [23] "Betacellulin"                     "C_Reactive_Protein"              
##  [25] "CD40"                             "CD5L"                            
##  [27] "Calbindin"                        "Calcitonin"                      
##  [29] "CgA"                              "Clusterin_Apo_J"                 
##  [31] "Complement_3"                     "Complement_Factor_H"             
##  [33] "Connective_Tissue_Growth_Factor"  "Cortisol"                        
##  [35] "Creatine_Kinase_MB"               "Cystatin_C"                      
##  [37] "EGF_R"                            "EN_RAGE"                         
##  [39] "ENA_78"                           "Eotaxin_3"                       
##  [41] "FAS"                              "FSH_Follicle_Stimulation_Hormon" 
##  [43] "Fas_Ligand"                       "Fatty_Acid_Binding_Protein"      
##  [45] "Ferritin"                         "Fetuin_A"                        
##  [47] "Fibrinogen"                       "GRO_alpha"                       
##  [49] "Gamma_Interferon_induced_Monokin" "Glutathione_S_Transferase_alpha" 
##  [51] "HB_EGF"                           "HCC_4"                           
##  [53] "Hepatocyte_Growth_Factor_HGF"     "I_309"                           
##  [55] "ICAM_1"                           "IGF_BP_2"                        
##  [57] "IL_11"                            "IL_13"                           
##  [59] "IL_16"                            "IL_17E"                          
##  [61] "IL_1alpha"                        "IL_3"                            
##  [63] "IL_4"                             "IL_5"                            
##  [65] "IL_6"                             "IL_6_Receptor"                   
##  [67] "IL_7"                             "IL_8"                            
##  [69] "IP_10_Inducible_Protein_10"       "IgA"                             
##  [71] "Insulin"                          "Kidney_Injury_Molecule_1_KIM_1"  
##  [73] "LOX_1"                            "Leptin"                          
##  [75] "Lipoprotein_a"                    "MCP_1"                           
##  [77] "MCP_2"                            "MIF"                             
##  [79] "MIP_1alpha"                       "MIP_1beta"                       
##  [81] "MMP_2"                            "MMP_3"                           
##  [83] "MMP10"                            "MMP7"                            
##  [85] "Myoglobin"                        "NT_proBNP"                       
##  [87] "NrCAM"                            "Osteopontin"                     
##  [89] "PAI_1"                            "PAPP_A"                          
##  [91] "PLGF"                             "PYY"                             
##  [93] "Pancreatic_polypeptide"           "Prolactin"                       
##  [95] "Prostatic_Acid_Phosphatase"       "Protein_S"                       
##  [97] "Pulmonary_and_Activation_Regulat" "RANTES"                          
##  [99] "Resistin"                         "S100b"                           
## [101] "SGOT"                             "SHBG"                            
## [103] "SOD"                              "Serum_Amyloid_P"                 
## [105] "Sortilin"                         "Stem_Cell_Factor"                
## [107] "TGF_alpha"                        "TIMP_1"                          
## [109] "TNF_RII"                          "TRAIL_R3"                        
## [111] "TTR_prealbumin"                   "Tamm_Horsfall_Protein_THP"       
## [113] "Thrombomodulin"                   "Thrombopoietin"                  
## [115] "Thymus_Expressed_Chemokine_TECK"  "Thyroid_Stimulating_Hormone"     
## [117] "Thyroxine_Binding_Globulin"       "Tissue_Factor"                   
## [119] "Transferrin"                      "Trefoil_Factor_3_TFF3"           
## [121] "VCAM_1"                           "VEGF"                            
## [123] "Vitronectin"                      "von_Willebrand_Factor"           
## [125] "E4"                               "E3"                              
## [127] "E2"                              
## 
## $problemType
## [1] "Classification"
## 
## $tuneValue
##   fL usekernel adjust
## 2  0      TRUE      1
## 
## $obsLevels
## [1] "Impaired" "Control" 
## attr(,"ordered")
## [1] FALSE
## 
## $param
## list()
## 
## attr(,"class")
## [1] "NaiveBayes"
NB_FULL_Tune$results
##   usekernel fL adjust       ROC      Sens      Spec  Accuracy     Kappa
## 1     FALSE  0      1 0.7333788 0.6089286 0.7363158 0.7006410 0.3162972
## 2      TRUE  0      1 0.7390414 0.5821429 0.7518421 0.7043549 0.3064041
##       ROCSD    SensSD    SpecSD AccuracySD   KappaSD
## 1 0.1214378 0.2417062 0.1481122  0.1188615 0.2321727
## 2 0.1170132 0.2432769 0.1230640  0.1032011 0.2332805
(NB_FULL_Train_ROCCurveAUC <- NB_FULL_Tune$results[NB_FULL_Tune$results$usekernel==NB_FULL_Tune$bestTune$usekernel,
                                                   c("ROC")])
## [1] 0.7390414
##################################
# Identifying and plotting the
# best model predictors
##################################
NB_FULL_VarImp <- varImp(NB_FULL_Tune, scale = TRUE)
plot(NB_FULL_VarImp,
     top=25,
     scales=list(y=list(cex = .95)),
     main="Ranked Variable Importance : Naive Bayes",
     xlab="Scaled Variable Importance Metrics",
     ylab="Predictors",
     cex=2,
     origin=0,
     alpha=0.45)

##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
NB_FULL_Test <- data.frame(NB_FULL_Observed = PMA_PreModelling_Test$Class,
                      NB_FULL_Predicted = predict(NB_FULL_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

##################################
# Reporting the independent evaluation results
# for the test set
##################################
NB_FULL_Test_ROC <- roc(response = NB_FULL_Test$NB_FULL_Observed,
                        predictor = NB_FULL_Test$NB_FULL_Predicted.Impaired,
                        levels = rev(levels(NB_FULL_Test$NB_FULL_Observed)))

(NB_FULL_Test_ROCCurveAUC <- auc(NB_FULL_Test_ROC)[1])
## [1] 0.6793981

1.5.12 Naive Bayes With UF Using No P-Value Adjustment and With Correlated Predictors (NB_UF_NAC)


Naive Bayes Classifier categorizes instances by applying Bayes Theorem in determining posterior probabilities as conditioned by the likelihood of features, and prior probabilities pertaining to both events and features. The algorithm naively assumes independence between features and assigns the same weight (degree of significance) to all given features. The class conditional probabilities and the prior probabilities are calculated to yield the posterior probability, and operates by returning the class, which has the maximum posterior probability out of a group of classes.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The Naive Bayes model from the klaR package was implemented with univariate filters using no adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model contains 3 hyperparameters:
     [B.1] fL = laplace correction held constant at a value of 0
     [B.2] adjust = bandwidth adjustment held constant at a value of TRUE
     [B.3] usekernel = distribution type held constant at a value of TRUE

[C] Univariate filtering was applied with results as follows:
     [C.1] 58 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 54 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model peNBormance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=47 to 62
     [D.2] AUROC = 0.74710

[E] The independent test model peNBormance of the final model is summarized as follows:
     [E.1] AUROC = 0.69791

Code Chunk | Output
##################################
# Creating a function to calculates p-values
# using either a t-test for predictors with 
# more than 2 distinct values
# using Fisher's Exact Test otherwise
##################################
PScore <- function(x, y){
    numX <- length(unique(x))
    if(numX > 2)
      {
       out <- t.test(x ~ y)$p.value
      } else {
       out <- fisher.test(factor(x), y)$p.value
      }
    out
}

NBPValue <- nbSBF
NBPValue$score <- PScore
NBPValue$summary <- FiveMetricsSummary

##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
NBPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = NBPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the naive bayes model
# by setting the caret method to 'nb'
# with implementation of univariate filter
##################################
set.seed(12345678)
NB_UF_NAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
NB_UF_NAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy  Kappa  ROCSD SensSD SpecSD AccuracySD KappaSD
##  0.7471 0.6232 0.7571   0.7196 0.3573 0.1071 0.2241 0.1565     0.1193  0.2261
## 
## Using the training set, 58 variables were selected:
##    Adiponectin, Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin...
## 
## During resampling, the top 5 selected variables (out of a possible 70):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), Apolipoprotein_D (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%)
## 
## On average, 53.8 variables were selected (min = 47, max = 62)
NB_UF_NAC_Tune$fit
## $apriori
## grouping
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## $tables
## $tables$Adiponectin
## $tables$Adiponectin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2539
## 
##        x                y            
##  Min.   :-7.264   Min.   :0.0002521  
##  1st Qu.:-6.170   1st Qu.:0.0394325  
##  Median :-5.076   Median :0.2066845  
##  Mean   :-5.076   Mean   :0.2280610  
##  3rd Qu.:-3.982   3rd Qu.:0.3942500  
##  Max.   :-2.888   Max.   :0.5531403  
## 
## $tables$Adiponectin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2047
## 
##        x                y            
##  Min.   :-7.340   Min.   :0.0002675  
##  1st Qu.:-6.228   1st Qu.:0.0422054  
##  Median :-5.116   Median :0.1469090  
##  Mean   :-5.116   Mean   :0.2244105  
##  3rd Qu.:-4.004   3rd Qu.:0.4158256  
##  Max.   :-2.892   Max.   :0.6303057  
## 
## 
## $tables$Alpha_1_Antichymotrypsin
## $tables$Alpha_1_Antichymotrypsin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.137
## 
##        x                   y            
##  Min.   :-0.005415   Min.   :0.0004458  
##  1st Qu.: 0.674305   1st Qu.:0.0430018  
##  Median : 1.354025   Median :0.2037227  
##  Mean   : 1.354025   Mean   :0.3670632  
##  3rd Qu.: 2.033745   3rd Qu.:0.7057813  
##  Max.   : 2.713465   Max.   :1.0974955  
## 
## $tables$Alpha_1_Antichymotrypsin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1039
## 
##        x                  y            
##  Min.   :-0.04928   Min.   :0.0002224  
##  1st Qu.: 0.60377   1st Qu.:0.0337927  
##  Median : 1.25683   Median :0.1887951  
##  Mean   : 1.25683   Mean   :0.3820623  
##  3rd Qu.: 1.90988   3rd Qu.:0.7159872  
##  Max.   : 2.56294   Max.   :1.1195436  
## 
## 
## $tables$Alpha_1_Antitrypsin
## $tables$Alpha_1_Antitrypsin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4782
## 
##        x                 y            
##  Min.   :-17.980   Min.   :0.0001293  
##  1st Qu.:-15.174   1st Qu.:0.0145127  
##  Median :-12.369   Median :0.0298018  
##  Mean   :-12.369   Mean   :0.0889250  
##  3rd Qu.: -9.563   3rd Qu.:0.1573948  
##  Max.   : -6.757   Max.   :0.2894396  
## 
## $tables$Alpha_1_Antitrypsin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4461
## 
##        x                 y            
##  Min.   :-18.367   Min.   :5.246e-05  
##  1st Qu.:-15.545   1st Qu.:6.361e-03  
##  Median :-12.723   Median :4.263e-02  
##  Mean   :-12.723   Mean   :8.842e-02  
##  3rd Qu.: -9.901   3rd Qu.:1.639e-01  
##  Max.   : -7.079   Max.   :2.904e-01  
## 
## 
## $tables$Alpha_1_Microglobulin
## $tables$Alpha_1_Microglobulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1673
## 
##        x                y            
##  Min.   :-4.414   Min.   :0.0003698  
##  1st Qu.:-3.643   1st Qu.:0.0406102  
##  Median :-2.872   Median :0.2123210  
##  Mean   :-2.872   Mean   :0.3237022  
##  3rd Qu.:-2.102   3rd Qu.:0.6327584  
##  Max.   :-1.331   Max.   :0.8444216  
## 
## $tables$Alpha_1_Microglobulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1525
## 
##        x                y            
##  Min.   :-4.800   Min.   :0.0001505  
##  1st Qu.:-3.929   1st Qu.:0.0220770  
##  Median :-3.057   Median :0.1808985  
##  Mean   :-3.057   Mean   :0.2863190  
##  3rd Qu.:-2.186   3rd Qu.:0.5640564  
##  Max.   :-1.315   Max.   :0.8166444  
## 
## 
## $tables$Alpha_2_Macroglobulin
## $tables$Alpha_2_Macroglobulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 11.24
## 
##        x                 y            
##  Min.   :-287.01   Min.   :5.480e-06  
##  1st Qu.:-221.69   1st Qu.:6.888e-04  
##  Median :-156.37   Median :1.894e-03  
##  Mean   :-156.37   Mean   :3.820e-03  
##  3rd Qu.: -91.06   3rd Qu.:6.271e-03  
##  Max.   : -25.74   Max.   :1.127e-02  
## 
## $tables$Alpha_2_Macroglobulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 11.74
## 
##        x                y            
##  Min.   :-324.9   Min.   :1.956e-06  
##  1st Qu.:-251.7   1st Qu.:2.978e-04  
##  Median :-178.5   Median :2.373e-03  
##  Mean   :-178.5   Mean   :3.409e-03  
##  3rd Qu.:-105.3   3rd Qu.:6.138e-03  
##  Max.   : -32.1   Max.   :9.772e-03  
## 
## 
## $tables$Apolipoprotein_CIII
## $tables$Apolipoprotein_CIII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1455
## 
##        x                 y            
##  Min.   :-3.9768   Min.   :0.0004594  
##  1st Qu.:-3.2303   1st Qu.:0.0769950  
##  Median :-2.4838   Median :0.1626602  
##  Mean   :-2.4838   Mean   :0.3342151  
##  3rd Qu.:-1.7373   3rd Qu.:0.6342758  
##  Max.   :-0.9907   Max.   :1.0259670  
## 
## $tables$Apolipoprotein_CIII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                 y            
##  Min.   :-4.0596   Min.   :0.0001868  
##  1st Qu.:-3.2615   1st Qu.:0.0384294  
##  Median :-2.4634   Median :0.1446462  
##  Mean   :-2.4634   Mean   :0.3126263  
##  3rd Qu.:-1.6653   3rd Qu.:0.5920527  
##  Max.   :-0.8672   Max.   :1.0140099  
## 
## 
## $tables$Apolipoprotein_D
## $tables$Apolipoprotein_D$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1309
## 
##        x                y            
##  Min.   :0.3494   Min.   :0.0005284  
##  1st Qu.:0.9282   1st Qu.:0.0738700  
##  Median :1.5070   Median :0.3572737  
##  Mean   :1.5070   Mean   :0.4310411  
##  3rd Qu.:2.0859   3rd Qu.:0.8265433  
##  Max.   :2.6647   Max.   :1.0110736  
## 
## $tables$Apolipoprotein_D$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09731
## 
##        x                y            
##  Min.   :0.1781   Min.   :0.0002366  
##  1st Qu.:0.7445   1st Qu.:0.0418393  
##  Median :1.3109   Median :0.3065151  
##  Mean   :1.3109   Mean   :0.4405095  
##  3rd Qu.:1.8773   3rd Qu.:0.7824477  
##  Max.   :2.4437   Max.   :1.2350084  
## 
## 
## $tables$B_Lymphocyte_Chemoattractant_BL
## $tables$B_Lymphocyte_Chemoattractant_BL$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1786
## 
##        x                y            
##  Min.   :0.2631   Min.   :0.0003411  
##  1st Qu.:1.2047   1st Qu.:0.0344897  
##  Median :2.1462   Median :0.2154676  
##  Mean   :2.1462   Mean   :0.2649772  
##  3rd Qu.:3.0878   3rd Qu.:0.4189822  
##  Max.   :4.0294   Max.   :0.7283596  
## 
## $tables$B_Lymphocyte_Chemoattractant_BL$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1635
## 
##        x                y            
##  Min.   :0.2412   Min.   :0.0001404  
##  1st Qu.:1.3095   1st Qu.:0.0158056  
##  Median :2.3778   Median :0.1517980  
##  Mean   :2.3778   Mean   :0.2335554  
##  3rd Qu.:3.4460   3rd Qu.:0.4260135  
##  Max.   :4.5143   Max.   :0.7412313  
## 
## 
## $tables$CD5L
## $tables$CD5L$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.172
## 
##        x                 y            
##  Min.   :-1.6871   Min.   :0.0004209  
##  1st Qu.:-0.9073   1st Qu.:0.0656876  
##  Median :-0.1274   Median :0.2613718  
##  Mean   :-0.1274   Mean   :0.3199414  
##  3rd Qu.: 0.6524   3rd Qu.:0.5479588  
##  Max.   : 1.4322   Max.   :0.8452315  
## 
## $tables$CD5L$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.133
## 
##        x                  y            
##  Min.   :-1.63693   Min.   :0.0002106  
##  1st Qu.:-0.83715   1st Qu.:0.0421442  
##  Median :-0.03736   Median :0.1637532  
##  Mean   :-0.03736   Mean   :0.3119687  
##  3rd Qu.: 0.76242   3rd Qu.:0.5640367  
##  Max.   : 1.56221   Max.   :0.9668307  
## 
## 
## $tables$Clusterin_Apo_J
## $tables$Clusterin_Apo_J$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1155
## 
##        x               y            
##  Min.   :1.525   Min.   :0.0005269  
##  1st Qu.:2.127   1st Qu.:0.0219539  
##  Median :2.728   Median :0.1830742  
##  Mean   :2.728   Mean   :0.4150646  
##  3rd Qu.:3.329   3rd Qu.:0.8290506  
##  Max.   :3.930   Max.   :1.2069046  
## 
## $tables$Clusterin_Apo_J$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0788
## 
##        x               y            
##  Min.   :1.724   Min.   :0.0002915  
##  1st Qu.:2.248   1st Qu.:0.0430777  
##  Median :2.772   Median :0.2921669  
##  Mean   :2.772   Mean   :0.4761093  
##  3rd Qu.:3.296   3rd Qu.:0.7752340  
##  Max.   :3.820   Max.   :1.5112165  
## 
## 
## $tables$Complement_3
## $tables$Complement_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.9024
## 
##        x                 y            
##  Min.   :-23.309   Min.   :6.925e-05  
##  1st Qu.:-19.196   1st Qu.:6.933e-03  
##  Median :-15.082   Median :4.532e-02  
##  Mean   :-15.082   Mean   :6.066e-02  
##  3rd Qu.:-10.969   3rd Qu.:1.205e-01  
##  Max.   : -6.855   Max.   :1.458e-01  
## 
## $tables$Complement_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.7662
## 
##        x                 y            
##  Min.   :-25.686   Min.   :2.994e-05  
##  1st Qu.:-21.269   1st Qu.:2.573e-03  
##  Median :-16.853   Median :4.057e-02  
##  Mean   :-16.853   Mean   :5.649e-02  
##  3rd Qu.:-12.436   3rd Qu.:1.164e-01  
##  Max.   : -8.019   Max.   :1.468e-01  
## 
## 
## $tables$Cortisol
## $tables$Cortisol$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 1.139
## 
##        x                 y            
##  Min.   : 0.5829   Min.   :5.413e-05  
##  1st Qu.: 8.5415   1st Qu.:3.530e-03  
##  Median :16.5000   Median :9.513e-03  
##  Mean   :16.5000   Mean   :3.135e-02  
##  3rd Qu.:24.4585   3rd Qu.:4.559e-02  
##  Max.   :32.4171   Max.   :1.342e-01  
## 
## $tables$Cortisol$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.095
## 
##        x                y            
##  Min.   :-3.185   Min.   :6.292e-05  
##  1st Qu.: 3.933   1st Qu.:5.135e-03  
##  Median :11.050   Median :1.130e-02  
##  Mean   :11.050   Mean   :3.506e-02  
##  3rd Qu.:18.167   3rd Qu.:6.465e-02  
##  Max.   :25.285   Max.   :1.183e-01  
## 
## 
## $tables$Creatine_Kinase_MB
## $tables$Creatine_Kinase_MB$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.02774
## 
##        x                y           
##  Min.   :-1.955   Min.   :0.002195  
##  1st Qu.:-1.810   1st Qu.:0.178288  
##  Median :-1.666   Median :0.807714  
##  Mean   :-1.666   Mean   :1.724376  
##  3rd Qu.:-1.521   3rd Qu.:3.478317  
##  Max.   :-1.376   Max.   :5.171466  
## 
## $tables$Creatine_Kinase_MB$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.02971
## 
##        x                y           
##  Min.   :-1.961   Min.   :0.000774  
##  1st Qu.:-1.794   1st Qu.:0.209347  
##  Median :-1.628   Median :0.920239  
##  Mean   :-1.628   Mean   :1.497037  
##  3rd Qu.:-1.461   3rd Qu.:2.710941  
##  Max.   :-1.294   Max.   :4.648178  
## 
## 
## $tables$Cystatin_C
## $tables$Cystatin_C$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1319
## 
##        x               y            
##  Min.   :7.037   Min.   :0.0004624  
##  1st Qu.:7.712   1st Qu.:0.0413703  
##  Median :8.387   Median :0.2488927  
##  Mean   :8.387   Mean   :0.3695760  
##  3rd Qu.:9.062   3rd Qu.:0.6297262  
##  Max.   :9.737   Max.   :1.2524724  
## 
## $tables$Cystatin_C$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1193
## 
##        x                y            
##  Min.   : 7.258   Min.   :0.0003623  
##  1st Qu.: 7.956   1st Qu.:0.0677002  
##  Median : 8.655   Median :0.2241862  
##  Mean   : 8.655   Mean   :0.3571722  
##  3rd Qu.: 9.353   3rd Qu.:0.6483143  
##  Max.   :10.052   Max.   :0.9827179  
## 
## 
## $tables$Eotaxin_3
## $tables$Eotaxin_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.556
## 
##        x                 y            
##  Min.   :  9.332   Min.   :1.337e-05  
##  1st Qu.: 37.166   1st Qu.:1.129e-03  
##  Median : 65.000   Median :5.511e-03  
##  Mean   : 65.000   Mean   :8.964e-03  
##  3rd Qu.: 92.834   3rd Qu.:1.491e-02  
##  Max.   :120.668   Max.   :2.988e-02  
## 
## $tables$Eotaxin_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 4.684
## 
##        x                 y            
##  Min.   : -7.052   Min.   :4.901e-06  
##  1st Qu.: 22.224   1st Qu.:4.092e-04  
##  Median : 51.500   Median :4.572e-03  
##  Mean   : 51.500   Mean   :8.523e-03  
##  3rd Qu.: 80.776   3rd Qu.:1.856e-02  
##  Max.   :110.052   Max.   :2.364e-02  
## 
## 
## $tables$FAS
## $tables$FAS$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.112
## 
##        x                 y            
##  Min.   :-1.3860   Min.   :0.0005482  
##  1st Qu.:-0.8713   1st Qu.:0.0744882  
##  Median :-0.3567   Median :0.4050701  
##  Mean   :-0.3567   Mean   :0.4847868  
##  3rd Qu.: 0.1580   3rd Qu.:0.8069833  
##  Max.   : 0.6726   Max.   :1.3560508  
## 
## $tables$FAS$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08631
## 
##        x                 y            
##  Min.   :-1.7731   Min.   :0.0002668  
##  1st Qu.:-1.2412   1st Qu.:0.0228707  
##  Median :-0.7094   Median :0.3094483  
##  Mean   :-0.7094   Mean   :0.4691546  
##  3rd Qu.:-0.1776   3rd Qu.:0.8467171  
##  Max.   : 0.3542   Max.   :1.4115039  
## 
## 
## $tables$Fas_Ligand
## $tables$Fas_Ligand$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3972
## 
##        x                 y            
##  Min.   :-0.9036   Min.   :0.0001532  
##  1st Qu.: 1.5284   1st Qu.:0.0075761  
##  Median : 3.9604   Median :0.0323509  
##  Mean   : 3.9604   Mean   :0.1025914  
##  3rd Qu.: 6.3924   3rd Qu.:0.1765223  
##  Max.   : 8.8244   Max.   :0.3745872  
## 
## $tables$Fas_Ligand$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3209
## 
##        x                 y            
##  Min.   :-1.1164   Min.   :0.0000717  
##  1st Qu.: 0.8362   1st Qu.:0.0099146  
##  Median : 2.7888   Median :0.0732924  
##  Mean   : 2.7888   Mean   :0.1277836  
##  3rd Qu.: 4.7414   3rd Qu.:0.2410426  
##  Max.   : 6.6940   Max.   :0.3644452  
## 
## 
## $tables$Fatty_Acid_Binding_Protein
## $tables$Fatty_Acid_Binding_Protein$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3218
## 
##        x                 y            
##  Min.   :-1.1366   Min.   :0.0001909  
##  1st Qu.: 0.3152   1st Qu.:0.0229681  
##  Median : 1.7671   Median :0.1194680  
##  Mean   : 1.7671   Mean   :0.1718472  
##  3rd Qu.: 3.2189   3rd Qu.:0.3272007  
##  Max.   : 4.6708   Max.   :0.4306972  
## 
## $tables$Fatty_Acid_Binding_Protein$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2219
## 
##        x                 y            
##  Min.   :-1.7098   Min.   :0.0001066  
##  1st Qu.:-0.3112   1st Qu.:0.0178705  
##  Median : 1.0873   Median :0.0844530  
##  Mean   : 1.0873   Mean   :0.1784060  
##  3rd Qu.: 2.4859   3rd Qu.:0.3437516  
##  Max.   : 3.8844   Max.   :0.5058790  
## 
## 
## $tables$Ferritin
## $tables$Ferritin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2804
## 
##        x                 y           
##  Min.   :0.05701   Min.   :0.000217  
##  1st Qu.:1.41138   1st Qu.:0.022078  
##  Median :2.76576   Median :0.136172  
##  Mean   :2.76576   Mean   :0.184213  
##  3rd Qu.:4.12014   3rd Qu.:0.346793  
##  Max.   :5.47452   Max.   :0.473627  
## 
## $tables$Ferritin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2345
## 
##        x                  y            
##  Min.   :-0.09576   Min.   :0.0000989  
##  1st Qu.: 1.26235   1st Qu.:0.0175433  
##  Median : 2.62046   Median :0.1093437  
##  Mean   : 2.62046   Mean   :0.1837170  
##  3rd Qu.: 3.97858   3rd Qu.:0.3541876  
##  Max.   : 5.33669   Max.   :0.4916991  
## 
## 
## $tables$Fetuin_A
## $tables$Fetuin_A$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1072
## 
##        x                y            
##  Min.   :0.2090   Min.   :0.0005703  
##  1st Qu.:0.7837   1st Qu.:0.0670041  
##  Median :1.3583   Median :0.2997970  
##  Mean   :1.3583   Mean   :0.4341721  
##  3rd Qu.:1.9330   3rd Qu.:0.6852882  
##  Max.   :2.5077   Max.   :1.3338471  
## 
## $tables$Fetuin_A$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1175
## 
##        x                y            
##  Min.   :0.1176   Min.   :0.0002735  
##  1st Qu.:0.7391   1st Qu.:0.0572785  
##  Median :1.3606   Median :0.3238185  
##  Mean   :1.3606   Mean   :0.4014570  
##  3rd Qu.:1.9821   3rd Qu.:0.7106765  
##  Max.   :2.6037   Max.   :1.0633923  
## 
## 
## $tables$Fibrinogen
## $tables$Fibrinogen$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2039
## 
##        x                y            
##  Min.   :-9.352   Min.   :0.0002994  
##  1st Qu.:-8.340   1st Qu.:0.0297491  
##  Median :-7.327   Median :0.1176966  
##  Mean   :-7.327   Mean   :0.2464541  
##  3rd Qu.:-6.315   3rd Qu.:0.4605718  
##  Max.   :-5.303   Max.   :0.7646276  
## 
## $tables$Fibrinogen$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1616
## 
##        x                y            
##  Min.   :-9.359   Min.   :0.0001768  
##  1st Qu.:-8.359   1st Qu.:0.0386225  
##  Median :-7.358   Median :0.1268076  
##  Mean   :-7.358   Mean   :0.2494747  
##  3rd Qu.:-6.358   3rd Qu.:0.4809641  
##  Max.   :-5.358   Max.   :0.7047324  
## 
## 
## $tables$GRO_alpha
## $tables$GRO_alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01539
## 
##        x               y           
##  Min.   :1.263   Min.   : 0.00406  
##  1st Qu.:1.332   1st Qu.: 0.54230  
##  Median :1.402   Median : 2.71917  
##  Mean   :1.402   Mean   : 3.59086  
##  3rd Qu.:1.471   3rd Qu.: 6.17618  
##  Max.   :1.541   Max.   :10.69562  
## 
## $tables$GRO_alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01113
## 
##        x               y            
##  Min.   :1.238   Min.   : 0.002945  
##  1st Qu.:1.300   1st Qu.: 0.969398  
##  Median :1.363   Median : 3.049909  
##  Mean   :1.363   Mean   : 3.994613  
##  3rd Qu.:1.425   3rd Qu.: 7.200400  
##  Max.   :1.488   Max.   :10.071952  
## 
## 
## $tables$Gamma_Interferon_induced_Monokin
## $tables$Gamma_Interferon_induced_Monokin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03894
## 
##        x               y          
##  Min.   :2.497   Min.   :0.00164  
##  1st Qu.:2.669   1st Qu.:0.17739  
##  Median :2.840   Median :1.25904  
##  Mean   :2.840   Mean   :1.45720  
##  3rd Qu.:3.011   3rd Qu.:2.70076  
##  Max.   :3.182   Max.   :3.51052  
## 
## $tables$Gamma_Interferon_induced_Monokin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.03562
## 
##        x               y           
##  Min.   :2.286   Min.   :0.000645  
##  1st Qu.:2.496   1st Qu.:0.054709  
##  Median :2.707   Median :0.799942  
##  Mean   :2.707   Mean   :1.187958  
##  3rd Qu.:2.917   3rd Qu.:2.388599  
##  Max.   :3.127   Max.   :3.377959  
## 
## 
## $tables$HB_EGF
## $tables$HB_EGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.5734
## 
##        x                y            
##  Min.   : 2.304   Min.   :0.0001287  
##  1st Qu.: 4.704   1st Qu.:0.0175895  
##  Median : 7.105   Median :0.0948862  
##  Mean   : 7.105   Mean   :0.1039336  
##  3rd Qu.: 9.505   3rd Qu.:0.1992858  
##  Max.   :11.906   Max.   :0.2162439  
## 
## $tables$HB_EGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4589
## 
##        x                 y            
##  Min.   : 0.7264   Min.   :5.017e-05  
##  1st Qu.: 3.5627   1st Qu.:7.261e-03  
##  Median : 6.3991   Median :4.535e-02  
##  Mean   : 6.3991   Mean   :8.797e-02  
##  3rd Qu.: 9.2354   3rd Qu.:1.654e-01  
##  Max.   :12.0717   Max.   :2.737e-01  
## 
## 
## $tables$HCC_4
## $tables$HCC_4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1258
## 
##        x                y            
##  Min.   :-4.513   Min.   :0.0004839  
##  1st Qu.:-3.842   1st Qu.:0.0263764  
##  Median :-3.171   Median :0.1774249  
##  Mean   :-3.171   Mean   :0.3720055  
##  3rd Qu.:-2.501   3rd Qu.:0.7266870  
##  Max.   :-1.830   Max.   :1.1547574  
## 
## $tables$HCC_4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1143
## 
##        x                y            
##  Min.   :-4.853   Min.   :0.0002017  
##  1st Qu.:-4.084   1st Qu.:0.0155689  
##  Median :-3.315   Median :0.0898749  
##  Mean   :-3.315   Mean   :0.3244994  
##  3rd Qu.:-2.546   3rd Qu.:0.6477835  
##  Max.   :-1.777   Max.   :1.1126875  
## 
## 
## $tables$Hepatocyte_Growth_Factor_HGF
## $tables$Hepatocyte_Growth_Factor_HGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1039
## 
##        x                 y            
##  Min.   :-0.6264   Min.   :0.0006633  
##  1st Qu.:-0.1730   1st Qu.:0.0918928  
##  Median : 0.2804   Median :0.4436919  
##  Mean   : 0.2804   Mean   :0.5503010  
##  3rd Qu.: 0.7338   3rd Qu.:0.9880750  
##  Max.   : 1.1871   Max.   :1.3558632  
## 
## $tables$Hepatocyte_Growth_Factor_HGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08115
## 
##        x                 y            
##  Min.   :-0.8783   Min.   :0.0002835  
##  1st Qu.:-0.3790   1st Qu.:0.0433307  
##  Median : 0.1203   Median :0.3791272  
##  Mean   : 0.1203   Mean   :0.4996986  
##  3rd Qu.: 0.6196   3rd Qu.:0.8912429  
##  Max.   : 1.1189   Max.   :1.4189093  
## 
## 
## $tables$IGF_BP_2
## $tables$IGF_BP_2$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08533
## 
##        x               y            
##  Min.   :4.407   Min.   :0.0007146  
##  1st Qu.:4.857   1st Qu.:0.0626516  
##  Median :5.306   Median :0.1648390  
##  Mean   :5.306   Mean   :0.5555022  
##  3rd Qu.:5.755   3rd Qu.:1.1485396  
##  Max.   :6.204   Max.   :1.6617362  
## 
## $tables$IGF_BP_2$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.05889
## 
##        x               y            
##  Min.   :4.458   Min.   :0.0004143  
##  1st Qu.:4.833   1st Qu.:0.0413745  
##  Median :5.208   Median :0.3285500  
##  Mean   :5.208   Mean   :0.6656293  
##  3rd Qu.:5.583   3rd Qu.:1.2894544  
##  Max.   :5.957   Max.   :1.9852384  
## 
## 
## $tables$IL_7
## $tables$IL_7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4111
## 
##        x                 y            
##  Min.   :-0.6736   Min.   :0.0004557  
##  1st Qu.: 0.9327   1st Qu.:0.0442524  
##  Median : 2.5390   Median :0.1448168  
##  Mean   : 2.5390   Mean   :0.1553058  
##  3rd Qu.: 4.1454   3rd Qu.:0.2582007  
##  Max.   : 5.7517   Max.   :0.3416548  
## 
## $tables$IL_7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3193
## 
##        x                y            
##  Min.   :-0.273   Min.   :0.0000734  
##  1st Qu.: 1.461   1st Qu.:0.0170904  
##  Median : 3.195   Median :0.0965725  
##  Mean   : 3.195   Mean   :0.1438786  
##  3rd Qu.: 4.929   3rd Qu.:0.2850512  
##  Max.   : 6.664   Max.   :0.3481015  
## 
## 
## $tables$IL_8
## $tables$IL_8$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01351
## 
##        x               y            
##  Min.   :1.567   Min.   : 0.004518  
##  1st Qu.:1.637   1st Qu.: 0.483051  
##  Median :1.707   Median : 1.878064  
##  Mean   :1.707   Mean   : 3.565088  
##  3rd Qu.:1.777   3rd Qu.: 6.302757  
##  Max.   :1.847   Max.   :10.732067  
## 
## $tables$IL_8$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0109
## 
##        x               y           
##  Min.   :1.541   Min.   : 0.00211  
##  1st Qu.:1.607   1st Qu.: 0.23979  
##  Median :1.674   Median : 2.00436  
##  Mean   :1.674   Mean   : 3.76132  
##  3rd Qu.:1.740   3rd Qu.: 7.23914  
##  Max.   :1.806   Max.   :11.18418  
## 
## 
## $tables$IP_10_Inducible_Protein_10
## $tables$IP_10_Inducible_Protein_10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1863
## 
##        x               y            
##  Min.   :4.142   Min.   :0.0004185  
##  1st Qu.:4.966   1st Qu.:0.0475262  
##  Median :5.790   Median :0.2376800  
##  Mean   :5.790   Mean   :0.3027442  
##  3rd Qu.:6.614   3rd Qu.:0.5357255  
##  Max.   :7.438   Max.   :0.7587120  
## 
## $tables$IP_10_Inducible_Protein_10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1494
## 
##        x               y            
##  Min.   :3.869   Min.   :0.0001646  
##  1st Qu.:4.889   1st Qu.:0.0185718  
##  Median :5.909   Median :0.0913245  
##  Mean   :5.909   Mean   :0.2446043  
##  3rd Qu.:6.929   3rd Qu.:0.5129381  
##  Max.   :7.949   Max.   :0.7715558  
## 
## 
## $tables$IgA
## $tables$IgA$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2723
## 
##        x                y           
##  Min.   :-8.616   Min.   :0.000224  
##  1st Qu.:-7.325   1st Qu.:0.018891  
##  Median :-6.034   Median :0.131555  
##  Mean   :-6.034   Mean   :0.193252  
##  3rd Qu.:-4.743   3rd Qu.:0.394834  
##  Max.   :-3.452   Max.   :0.502000  
## 
## $tables$IgA$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2182
## 
##        x                 y           
##  Min.   :-11.174   Min.   :0.000000  
##  1st Qu.: -9.267   1st Qu.:0.001335  
##  Median : -7.360   Median :0.019659  
##  Mean   : -7.360   Mean   :0.130822  
##  3rd Qu.: -5.452   3rd Qu.:0.241560  
##  Max.   : -3.545   Max.   :0.560047  
## 
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1
## $tables$Kidney_Injury_Molecule_1_KIM_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.00858
## 
##        x                y            
##  Min.   :-1.257   Min.   : 0.007559  
##  1st Qu.:-1.218   1st Qu.: 0.913827  
##  Median :-1.178   Median : 3.938927  
##  Mean   :-1.178   Mean   : 6.270026  
##  3rd Qu.:-1.138   3rd Qu.:11.635131  
##  Max.   :-1.098   Max.   :16.890980  
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.009108
## 
##        x                y            
##  Min.   :-1.283   Min.   : 0.003825  
##  1st Qu.:-1.232   1st Qu.: 0.593889  
##  Median :-1.180   Median : 2.994047  
##  Mean   :-1.180   Mean   : 4.856747  
##  3rd Qu.:-1.129   3rd Qu.:10.109607  
##  Max.   :-1.077   Max.   :12.453354  
## 
## 
## $tables$MCP_1
## $tables$MCP_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08204
## 
##        x               y           
##  Min.   :5.580   Min.   :0.000742  
##  1st Qu.:6.023   1st Qu.:0.076306  
##  Median :6.466   Median :0.334402  
##  Mean   :6.466   Mean   :0.562949  
##  3rd Qu.:6.910   3rd Qu.:0.983386  
##  Max.   :7.353   Max.   :1.659696  
## 
## $tables$MCP_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08365
## 
##        x               y            
##  Min.   :5.575   Min.   :0.0002833  
##  1st Qu.:6.051   1st Qu.:0.0503598  
##  Median :6.528   Median :0.3496635  
##  Mean   :6.528   Mean   :0.5236990  
##  3rd Qu.:7.004   3rd Qu.:1.0131174  
##  Max.   :7.481   Max.   :1.4058374  
## 
## 
## $tables$MCP_2
## $tables$MCP_2$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.258
## 
##        x                 y            
##  Min.   :-0.3735   Min.   :0.0002363  
##  1st Qu.: 0.9194   1st Qu.:0.0270400  
##  Median : 2.2122   Median :0.0879011  
##  Mean   : 2.2122   Mean   :0.1929878  
##  3rd Qu.: 3.5050   3rd Qu.:0.3588776  
##  Max.   : 4.7978   Max.   :0.6183413  
## 
## $tables$MCP_2$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1411
## 
##        x                  y            
##  Min.   :-0.02269   Min.   :0.0001634  
##  1st Qu.: 1.09474   1st Qu.:0.0145562  
##  Median : 2.21217   Median :0.1157047  
##  Mean   : 2.21217   Mean   :0.2232678  
##  3rd Qu.: 3.32960   3rd Qu.:0.3212348  
##  Max.   : 4.44703   Max.   :0.8582897  
## 
## 
## $tables$MIF
## $tables$MIF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1116
## 
##        x                 y            
##  Min.   :-2.7318   Min.   :0.0005472  
##  1st Qu.:-2.1761   1st Qu.:0.0505520  
##  Median :-1.6204   Median :0.1858068  
##  Mean   :-1.6204   Mean   :0.4490134  
##  3rd Qu.:-1.0648   3rd Qu.:0.9965195  
##  Max.   :-0.5091   Max.   :1.1763069  
## 
## $tables$MIF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09496
## 
##        x                 y            
##  Min.   :-3.1322   Min.   :0.0002408  
##  1st Qu.:-2.5133   1st Qu.:0.0326868  
##  Median :-1.8945   Median :0.2730891  
##  Mean   :-1.8945   Mean   :0.4031727  
##  3rd Qu.:-1.2756   3rd Qu.:0.7351494  
##  Max.   :-0.6567   Max.   :1.2561687  
## 
## 
## $tables$MIP_1alpha
## $tables$MIP_1alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2821
## 
##        x               y           
##  Min.   :1.541   Min.   :0.000224  
##  1st Qu.:2.893   1st Qu.:0.035600  
##  Median :4.244   Median :0.136544  
##  Mean   :4.244   Mean   :0.184656  
##  3rd Qu.:5.595   3rd Qu.:0.299992  
##  Max.   :6.946   Max.   :0.496062  
## 
## $tables$MIP_1alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3311
## 
##        x                  y            
##  Min.   :-0.05885   Min.   :0.0000694  
##  1st Qu.: 1.90320   1st Qu.:0.0071115  
##  Median : 3.86525   Median :0.0755098  
##  Mean   : 3.86525   Mean   :0.1271673  
##  3rd Qu.: 5.82730   3rd Qu.:0.2387466  
##  Max.   : 7.78935   Max.   :0.3768545  
## 
## 
## $tables$MMP_3
## $tables$MMP_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1763
## 
##        x                   y            
##  Min.   :-4.345539   Min.   :0.0003472  
##  1st Qu.:-3.258856   1st Qu.:0.0319547  
##  Median :-2.172173   Median :0.1425696  
##  Mean   :-2.172173   Mean   :0.2296006  
##  3rd Qu.:-1.085490   3rd Qu.:0.3262705  
##  Max.   : 0.001193   Max.   :0.7708525  
## 
## $tables$MMP_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1614
## 
##        x                 y            
##  Min.   :-4.9069   Min.   :0.0001477  
##  1st Qu.:-3.8440   1st Qu.:0.0202014  
##  Median :-2.7811   Median :0.1192796  
##  Mean   :-2.7811   Mean   :0.2347424  
##  3rd Qu.:-1.7182   3rd Qu.:0.4079722  
##  Max.   :-0.6553   Max.   :0.7543996  
## 
## 
## $tables$MMP10
## $tables$MMP10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                y            
##  Min.   :-5.343   Min.   :0.0004474  
##  1st Qu.:-4.457   1st Qu.:0.0326114  
##  Median :-3.570   Median :0.1316350  
##  Mean   :-3.570   Mean   :0.2814658  
##  3rd Qu.:-2.684   3rd Qu.:0.4407209  
##  Max.   :-1.798   Max.   :1.1131115  
## 
## $tables$MMP10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1146
## 
##        x                y            
##  Min.   :-5.011   Min.   :0.0002376  
##  1st Qu.:-4.313   1st Qu.:0.0639220  
##  Median :-3.615   Median :0.1883134  
##  Mean   :-3.615   Mean   :0.3575896  
##  3rd Qu.:-2.918   3rd Qu.:0.7256202  
##  Max.   :-2.220   Max.   :0.9695254  
## 
## 
## $tables$MMP7
## $tables$MMP7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4298
## 
##        x                 y            
##  Min.   :-7.8961   Min.   :0.0001877  
##  1st Qu.:-5.7017   1st Qu.:0.0296373  
##  Median :-3.5072   Median :0.0703373  
##  Mean   :-3.5072   Mean   :0.1136922  
##  3rd Qu.:-1.3127   3rd Qu.:0.2118599  
##  Max.   : 0.8818   Max.   :0.3283795  
## 
## $tables$MMP7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4545
## 
##        x                y            
##  Min.   :-9.761   Min.   :5.049e-05  
##  1st Qu.:-7.035   1st Qu.:7.595e-03  
##  Median :-4.310   Median :7.733e-02  
##  Mean   :-4.310   Mean   :9.155e-02  
##  3rd Qu.:-1.584   3rd Qu.:1.513e-01  
##  Max.   : 1.141   Max.   :2.707e-01  
## 
## 
## $tables$NT_proBNP
## $tables$NT_proBNP$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1278
## 
##        x               y            
##  Min.   :3.488   Min.   :0.0004799  
##  1st Qu.:4.183   1st Qu.:0.0472861  
##  Median :4.879   Median :0.1644620  
##  Mean   :4.879   Mean   :0.3587442  
##  3rd Qu.:5.574   3rd Qu.:0.6206068  
##  Max.   :6.270   Max.   :1.2352851  
## 
## $tables$NT_proBNP$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09443
## 
##        x               y            
##  Min.   :2.895   Min.   :0.0002446  
##  1st Qu.:3.609   1st Qu.:0.0257804  
##  Median :4.323   Median :0.1530335  
##  Mean   :4.323   Mean   :0.3493812  
##  3rd Qu.:5.037   3rd Qu.:0.5785926  
##  Max.   :5.751   Max.   :1.3532174  
## 
## 
## $tables$Osteopontin
## $tables$Osteopontin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1546
## 
##        x               y            
##  Min.   :3.647   Min.   :0.0003974  
##  1st Qu.:4.427   1st Qu.:0.0424181  
##  Median :5.208   Median :0.1382530  
##  Mean   :5.208   Mean   :0.3197770  
##  3rd Qu.:5.988   3rd Qu.:0.6681657  
##  Max.   :6.768   Max.   :0.9236408  
## 
## $tables$Osteopontin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.104
## 
##        x               y            
##  Min.   :3.922   Min.   :0.0002219  
##  1st Qu.:4.597   1st Qu.:0.0539899  
##  Median :5.271   Median :0.2050811  
##  Mean   :5.271   Mean   :0.3698778  
##  3rd Qu.:5.946   3rd Qu.:0.6549779  
##  Max.   :6.620   Max.   :1.1054060  
## 
## 
## $tables$PAI_1
## $tables$PAI_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1684
## 
##        x                 y            
##  Min.   :-1.3796   Min.   :0.0003683  
##  1st Qu.:-0.6169   1st Qu.:0.0433878  
##  Median : 0.1458   Median :0.2047515  
##  Mean   : 0.1458   Mean   :0.3271269  
##  3rd Qu.: 0.9085   3rd Qu.:0.6651820  
##  Max.   : 1.6713   Max.   :0.7845451  
## 
## $tables$PAI_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1155
## 
##        x                   y            
##  Min.   :-1.337358   Min.   :0.0002009  
##  1st Qu.:-0.665516   1st Qu.:0.0465423  
##  Median : 0.006326   Median :0.2552360  
##  Mean   : 0.006326   Mean   :0.3713764  
##  3rd Qu.: 0.678169   3rd Qu.:0.6258449  
##  Max.   : 1.350011   Max.   :1.0998865  
## 
## 
## $tables$PLGF
## $tables$PLGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1622
## 
##        x               y            
##  Min.   :1.998   Min.   :0.0003764  
##  1st Qu.:2.831   1st Qu.:0.0253091  
##  Median :3.665   Median :0.1725115  
##  Mean   :3.665   Mean   :0.2994872  
##  3rd Qu.:4.498   3rd Qu.:0.5687072  
##  Max.   :5.331   Max.   :0.8938577  
## 
## $tables$PLGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1243
## 
##        x               y            
##  Min.   :2.571   Min.   :0.0001842  
##  1st Qu.:3.314   1st Qu.:0.0166082  
##  Median :4.057   Median :0.1947426  
##  Mean   :4.057   Mean   :0.3357975  
##  3rd Qu.:4.800   3rd Qu.:0.6666717  
##  Max.   :5.544   Max.   :0.9763553  
## 
## 
## $tables$Pancreatic_polypeptide
## $tables$Pancreatic_polypeptide$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2937
## 
##        x                 y            
##  Min.   :-2.1541   Min.   :0.0004183  
##  1st Qu.:-0.9124   1st Qu.:0.0345638  
##  Median : 0.3293   Median :0.1788613  
##  Mean   : 0.3293   Mean   :0.2009313  
##  3rd Qu.: 1.5710   3rd Qu.:0.3209413  
##  Max.   : 2.8126   Max.   :0.5212213  
## 
## $tables$Pancreatic_polypeptide$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2106
## 
##        x                 y            
##  Min.   :-2.7520   Min.   :0.0001181  
##  1st Qu.:-1.4939   1st Qu.:0.0177924  
##  Median :-0.2358   Median :0.1181308  
##  Mean   :-0.2358   Mean   :0.1983245  
##  3rd Qu.: 1.0223   3rd Qu.:0.3748847  
##  Max.   : 2.2803   Max.   :0.5971506  
## 
## 
## $tables$Protein_S
## $tables$Protein_S$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.132
## 
##        x                 y            
##  Min.   :-3.3850   Min.   :0.0006362  
##  1st Qu.:-2.7450   1st Qu.:0.0736674  
##  Median :-2.1050   Median :0.2180317  
##  Mean   :-2.1050   Mean   :0.3898316  
##  3rd Qu.:-1.4650   3rd Qu.:0.7054700  
##  Max.   :-0.8249   Max.   :1.1810831  
## 
## $tables$Protein_S$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08967
## 
##        x                y           
##  Min.   :-3.607   Min.   :0.000257  
##  1st Qu.:-2.954   1st Qu.:0.046951  
##  Median :-2.300   Median :0.164772  
##  Mean   :-2.300   Mean   :0.381793  
##  3rd Qu.:-1.647   3rd Qu.:0.696743  
##  Max.   :-0.993   Max.   :1.360841  
## 
## 
## $tables$Pulmonary_and_Activation_Regulat
## $tables$Pulmonary_and_Activation_Regulat$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1511
## 
##        x                  y            
##  Min.   :-2.75588   Min.   :0.0004523  
##  1st Qu.:-2.08129   1st Qu.:0.0628626  
##  Median :-1.40671   Median :0.2968929  
##  Mean   :-1.40671   Mean   :0.3698564  
##  3rd Qu.:-0.73212   3rd Qu.:0.6547507  
##  Max.   :-0.05753   Max.   :0.8981923  
## 
## $tables$Pulmonary_and_Activation_Regulat$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1424
## 
##        x                 y            
##  Min.   :-2.9405   Min.   :0.0002526  
##  1st Qu.:-2.1672   1st Qu.:0.0460465  
##  Median :-1.3939   Median :0.2339307  
##  Mean   :-1.3939   Mean   :0.3226469  
##  3rd Qu.:-0.6206   3rd Qu.:0.5587706  
##  Max.   : 0.1527   Max.   :0.8758486  
## 
## 
## $tables$Resistin
## $tables$Resistin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 2.203
## 
##        x                 y            
##  Min.   :-41.576   Min.   :2.761e-05  
##  1st Qu.:-30.090   1st Qu.:2.149e-03  
##  Median :-18.603   Median :1.134e-02  
##  Mean   :-18.603   Mean   :2.172e-02  
##  3rd Qu.: -7.116   3rd Qu.:4.033e-02  
##  Max.   :  4.370   Max.   :7.083e-02  
## 
## $tables$Resistin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.737
## 
##        x                 y            
##  Min.   :-37.350   Min.   :1.384e-05  
##  1st Qu.:-27.539   1st Qu.:2.849e-03  
##  Median :-17.728   Median :1.740e-02  
##  Mean   :-17.728   Mean   :2.543e-02  
##  3rd Qu.: -7.917   3rd Qu.:4.768e-02  
##  Max.   :  1.895   Max.   :6.878e-02  
## 
## 
## $tables$S100b
## $tables$S100b$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1279
## 
##        x                y            
##  Min.   :0.1209   Min.   :0.0004874  
##  1st Qu.:0.6790   1st Qu.:0.0631170  
##  Median :1.2371   Median :0.3857408  
##  Mean   :1.2371   Mean   :0.4470420  
##  3rd Qu.:1.7952   3rd Qu.:0.8295527  
##  Max.   :2.3533   Max.   :1.0532003  
## 
## $tables$S100b$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1065
## 
##        x                 y           
##  Min.   :-0.1322   Min.   :0.000216  
##  1st Qu.: 0.5739   1st Qu.:0.016795  
##  Median : 1.2800   Median :0.151859  
##  Mean   : 1.2800   Mean   :0.353361  
##  3rd Qu.: 1.9861   3rd Qu.:0.729348  
##  Max.   : 2.6922   Max.   :1.068651  
## 
## 
## $tables$Sortilin
## $tables$Sortilin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3258
## 
##        x               y            
##  Min.   :1.364   Min.   :0.0001872  
##  1st Qu.:2.824   1st Qu.:0.0196961  
##  Median :4.283   Median :0.1410954  
##  Mean   :4.283   Mean   :0.1709258  
##  3rd Qu.:5.743   3rd Qu.:0.3170583  
##  Max.   :7.203   Max.   :0.4402174  
## 
## $tables$Sortilin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2559
## 
##        x               y            
##  Min.   :0.886   Min.   :0.0000898  
##  1st Qu.:2.413   1st Qu.:0.0185340  
##  Median :3.940   Median :0.1083839  
##  Mean   :3.940   Mean   :0.1634219  
##  3rd Qu.:5.466   3rd Qu.:0.2843334  
##  Max.   :6.993   Max.   :0.4845338  
## 
## 
## $tables$TIMP_1
## $tables$TIMP_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.7631
## 
##        x                y            
##  Min.   : 6.665   Min.   :7.996e-05  
##  1st Qu.:10.291   1st Qu.:5.927e-03  
##  Median :13.918   Median :4.027e-02  
##  Mean   :13.918   Mean   :6.880e-02  
##  3rd Qu.:17.544   3rd Qu.:1.315e-01  
##  Max.   :21.170   Max.   :1.901e-01  
## 
## $tables$TIMP_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.5226
## 
##        x                 y            
##  Min.   : 0.1739   Min.   :0.0000000  
##  1st Qu.: 4.9973   1st Qu.:0.0002628  
##  Median : 9.8207   Median :0.0066975  
##  Mean   : 9.8207   Mean   :0.0517288  
##  3rd Qu.:14.6441   3rd Qu.:0.0812559  
##  Max.   :19.4675   Max.   :0.2370685  
## 
## 
## $tables$TNF_RII
## $tables$TNF_RII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1287
## 
##        x                 y            
##  Min.   :-1.7724   Min.   :0.0004729  
##  1st Qu.:-1.1153   1st Qu.:0.0399146  
##  Median :-0.4581   Median :0.1767396  
##  Mean   :-0.4581   Mean   :0.3796843  
##  3rd Qu.: 0.1990   3rd Qu.:0.7846294  
##  Max.   : 0.8561   Max.   :1.0878833  
## 
## $tables$TNF_RII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09976
## 
##        x                  y            
##  Min.   :-1.96002   Min.   :0.0002298  
##  1st Qu.:-1.31108   1st Qu.:0.0216834  
##  Median :-0.66213   Median :0.1367883  
##  Mean   :-0.66213   Mean   :0.3844817  
##  3rd Qu.:-0.01318   3rd Qu.:0.7880589  
##  Max.   : 0.63577   Max.   :1.1788242  
## 
## 
## $tables$TRAIL_R3
## $tables$TRAIL_R3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08757
## 
##        x                 y            
##  Min.   :-1.1644   Min.   :0.0006967  
##  1st Qu.:-0.7402   1st Qu.:0.0605912  
##  Median :-0.3161   Median :0.3641310  
##  Mean   :-0.3161   Mean   :0.5882954  
##  3rd Qu.: 0.1080   3rd Qu.:1.1507193  
##  Max.   : 0.5321   Max.   :1.6012376  
## 
## $tables$TRAIL_R3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.071
## 
##        x                  y            
##  Min.   :-1.42370   Min.   :0.0003239  
##  1st Qu.:-0.96810   1st Qu.:0.0299211  
##  Median :-0.51251   Median :0.2241354  
##  Mean   :-0.51251   Mean   :0.5476573  
##  3rd Qu.:-0.05692   3rd Qu.:1.1322475  
##  Max.   : 0.39867   Max.   :1.6594882  
## 
## 
## $tables$Thrombomodulin
## $tables$Thrombomodulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08265
## 
##        x                 y            
##  Min.   :-2.2233   Min.   :0.0007774  
##  1st Qu.:-1.8097   1st Qu.:0.0789252  
##  Median :-1.3960   Median :0.2423543  
##  Mean   :-1.3960   Mean   :0.6031489  
##  3rd Qu.:-0.9823   3rd Qu.:1.2846085  
##  Max.   :-0.5687   Max.   :1.8615329  
## 
## $tables$Thrombomodulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07006
## 
##        x                 y            
##  Min.   :-2.2478   Min.   :0.0005748  
##  1st Qu.:-1.8819   1st Qu.:0.1113643  
##  Median :-1.5160   Median :0.5888401  
##  Mean   :-1.5160   Mean   :0.6818655  
##  3rd Qu.:-1.1501   3rd Qu.:1.1895943  
##  Max.   :-0.7842   Max.   :1.7639707  
## 
## 
## $tables$Thrombopoietin
## $tables$Thrombopoietin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.06773
## 
##        x                  y            
##  Min.   :-1.74275   Min.   :0.0009015  
##  1st Qu.:-1.32325   1st Qu.:0.0451482  
##  Median :-0.90376   Median :0.3488088  
##  Mean   :-0.90376   Mean   :0.5947557  
##  3rd Qu.:-0.48426   3rd Qu.:0.9909795  
##  Max.   :-0.06476   Max.   :2.1026315  
## 
## $tables$Thrombopoietin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07041
## 
##        x                 y            
##  Min.   :-1.5184   Min.   :0.0003267  
##  1st Qu.:-1.0616   1st Qu.:0.0348825  
##  Median :-0.6048   Median :0.3479396  
##  Mean   :-0.6048   Mean   :0.5461857  
##  3rd Qu.:-0.1480   3rd Qu.:0.9234895  
##  Max.   : 0.3089   Max.   :1.7648531  
## 
## 
## $tables$Thymus_Expressed_Chemokine_TECK
## $tables$Thymus_Expressed_Chemokine_TECK$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2555
## 
##        x               y           
##  Min.   :1.170   Min.   :0.000239  
##  1st Qu.:2.625   1st Qu.:0.017862  
##  Median :4.081   Median :0.079276  
##  Mean   :4.081   Mean   :0.171420  
##  3rd Qu.:5.536   3rd Qu.:0.310995  
##  Max.   :6.992   Max.   :0.559876  
## 
## $tables$Thymus_Expressed_Chemokine_TECK$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1889
## 
##        x                y            
##  Min.   :0.9418   Min.   :0.0001233  
##  1st Qu.:2.4043   1st Qu.:0.0171002  
##  Median :3.8669   Median :0.0722106  
##  Mean   :3.8669   Mean   :0.1705975  
##  3rd Qu.:5.3294   3rd Qu.:0.2912266  
##  Max.   :6.7920   Max.   :0.5967206  
## 
## 
## $tables$VEGF
## $tables$VEGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.5539
## 
##        x               y            
##  Min.   :11.04   Min.   :0.0001229  
##  1st Qu.:13.97   1st Qu.:0.0183212  
##  Median :16.90   Median :0.0446594  
##  Mean   :16.90   Mean   :0.0852277  
##  3rd Qu.:19.82   3rd Qu.:0.1613336  
##  Max.   :22.75   Max.   :0.2622160  
## 
## $tables$VEGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.523
## 
##        x               y            
##  Min.   :10.26   Min.   :4.404e-05  
##  1st Qu.:13.68   1st Qu.:8.378e-03  
##  Median :17.11   Median :3.543e-02  
##  Mean   :17.11   Mean   :7.292e-02  
##  3rd Qu.:20.53   3rd Qu.:1.279e-01  
##  Max.   :23.95   Max.   :2.297e-01  
## 
## 
## $tables$E4
## $tables$E4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.189
## 
##        x                y          
##  Min.   :0.4329   Min.   :0.00965  
##  1st Qu.:0.9664   1st Qu.:0.11395  
##  Median :1.5000   Median :0.37933  
##  Mean   :1.5000   Mean   :0.46703  
##  3rd Qu.:2.0336   3rd Qu.:0.78142  
##  Max.   :2.5671   Max.   :1.24269  
## 
## $tables$E4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1479
## 
##        x                y           
##  Min.   :0.5562   Min.   :0.008364  
##  1st Qu.:1.0281   1st Qu.:0.071217  
##  Median :1.5000   Median :0.345225  
##  Mean   :1.5000   Mean   :0.528053  
##  3rd Qu.:1.9719   3rd Qu.:0.833414  
##  Max.   :2.4438   Max.   :1.806542  
## 
## 
## $tables$E2
## $tables$E2$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1055
## 
##        x                y           
##  Min.   :0.6834   Min.   :0.000027  
##  1st Qu.:1.0917   1st Qu.:0.010496  
##  Median :1.5000   Median :0.130505  
##  Mean   :1.5000   Mean   :0.610325  
##  3rd Qu.:1.9083   3rd Qu.:0.529965  
##  Max.   :2.3166   Max.   :3.468090  
## 
## $tables$E2$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                y            
##  Min.   :0.6292   Min.   :0.0007015  
##  1st Qu.:1.0646   1st Qu.:0.0369939  
##  Median :1.5000   Median :0.2460256  
##  Mean   :1.5000   Mean   :0.5723030  
##  3rd Qu.:1.9354   3rd Qu.:0.6137616  
##  Max.   :2.3708   Max.   :2.6115594  
## 
## 
## 
## $levels
## [1] "Impaired" "Control" 
## 
## $call
## NaiveBayes.default(x = x, grouping = y, usekernel = TRUE, fL = 2, 
##     metric = "ROC")
## 
## $x
##     Adiponectin Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin
## 1     -5.360193                1.7404662          -12.631361
## 2     -5.020686                1.4586150          -11.909882
## 3     -5.809143                1.1939225          -13.642963
## 5     -4.779524                2.1282317          -11.133063
## 6     -5.221356                1.3083328          -12.134638
## 7     -6.119298                0.8329091          -12.813142
## 8     -4.879607                1.5260563          -13.310348
## 9     -5.167289                0.7419373          -12.907477
## 11    -4.840893                1.0986123          -13.310348
## 12    -4.199705                1.9021075          -11.838035
## 14    -5.776353                1.3862944          -11.909882
## 16    -4.199705                1.4109870          -11.983227
## 17    -4.699481                1.8245493          -11.499497
## 18    -6.265901                1.2237754          -14.135373
## 19    -4.422849                1.3083328          -12.292758
## 20    -5.132803                2.1633230           -8.932463
## 21    -5.683980                0.9555114          -14.135373
## 22    -5.914504                1.3609766          -15.344812
## 23    -6.377127                1.1314021          -13.642963
## 24    -5.843045                1.3083328          -13.310348
## 25    -4.919881                0.7884574          -13.528896
## 26    -5.099467                1.0986123          -13.205557
## 28    -6.502290                1.5260563          -11.909882
## 29    -6.165818                0.9932518          -14.135373
## 30    -5.278515                1.1314021          -13.760451
## 31    -5.099467                1.5475625          -12.058126
## 34    -5.426151                1.4109870          -11.435607
## 35    -4.199705                1.2237754          -12.458129
## 36    -3.963316                2.1041342          -11.909882
## 37    -4.767689                1.1314021          -14.548755
## 38    -5.005648                1.3609766          -13.528896
## 39    -5.843045                0.8754687          -16.321511
## 40    -5.991465                1.7749524          -13.418078
## 41    -3.649659                1.8870696           -8.191715
## 42    -4.605170                1.1314021          -13.881545
## 43    -4.688552                1.0647107          -13.004247
## 44    -5.259097                1.5892352          -12.907477
## 45    -6.502290                1.8082888          -12.058126
## 46    -6.214608                1.3862944          -15.008176
## 47    -4.605170                1.3862944          -11.630963
## 48    -5.099467                1.4816045          -15.344812
## 50    -5.184989                1.3862944          -11.698625
## 51    -4.677741                1.3609766          -12.374500
## 53    -5.083206                1.5892352          -13.881545
## 55    -5.496768                1.3862944          -15.344812
## 56    -4.509860                1.5260563          -11.698625
## 57    -5.403678                1.8405496          -12.212827
## 59    -4.509860                1.6486586          -11.250842
## 60    -5.318520                1.4586150          -13.103567
## 61    -5.776353                1.1631508          -14.006447
## 62    -5.914504                0.8329091          -15.008176
## 63    -5.521461                1.3350011          -12.907477
## 64    -4.744432                1.7749524          -12.631361
## 65    -5.546779                0.7419373          -15.523564
## 67    -4.990833                1.4350845          -14.406260
## 68    -4.199705                1.3862944          -14.268559
## 69    -5.683980                0.8329091          -15.008176
## 70    -6.165818                0.9932518          -14.406260
## 71    -6.032287                1.7047481          -12.134638
## 72    -3.540459                2.2082744          -10.963846
## 73    -5.067206                1.5892352          -14.135373
## 74    -4.615221                1.4109870          -10.802885
## 75    -4.342806                2.0412203          -12.907477
## 76    -5.426151                1.5260563          -10.363053
## 77    -3.912023                1.6292405          -11.564602
## 78    -4.803621                1.5892352          -11.311317
## 80    -6.214608                1.4350845          -13.205557
## 81    -5.572754                1.3862944          -12.292758
## 82    -5.067206                1.1939225          -12.292758
## 83    -4.828314                1.1631508          -12.374500
## 84    -5.099467                1.2809338          -11.564602
## 85    -5.713833                1.5686159          -12.212827
## 86    -4.509860                2.1633230          -11.019298
## 88    -4.866535                1.4350845          -13.418078
## 90    -5.878136                0.9932518          -14.849365
## 93    -4.342806                1.8082888          -13.004247
## 94    -4.199705                2.2823824          -12.292758
## 95    -4.919881                1.2527630          -12.058126
## 96    -5.991465                1.0986123          -14.406260
## 97    -5.360193                0.9162907          -13.881545
## 98    -5.914504                0.9932518          -15.344812
## 99    -5.403678                1.5040774          -14.268559
## 100   -5.278515                1.1939225          -15.008176
## 103   -5.221356                1.3609766          -13.310348
## 104   -5.167289                1.2237754          -13.881545
## 105   -5.115996                1.1939225          -12.374500
## 107   -5.599422                1.2809338          -13.004247
## 108   -5.005648                1.7047481          -13.103567
## 109   -5.809143                0.4054651          -16.780588
## 110   -5.952244                0.7884574          -15.173178
## 111   -4.744432                1.2527630          -14.268559
## 112   -3.963316                1.9169226          -12.058126
## 113   -4.342806                1.8718022          -11.191436
## 114   -6.119298                1.2237754          -13.418078
## 115   -4.268698                1.7227666          -11.499497
## 117   -5.991465                1.2237754          -14.006447
## 118   -5.572754                1.4350845          -13.881545
## 121   -4.135167                1.9315214           -9.562842
## 123   -5.776353                0.9555114          -13.103567
## 124   -5.020686                1.6292405          -13.004247
## 126   -5.298317                0.9932518          -13.418078
## 128   -3.912023                1.9169226          -10.750945
## 129   -5.221356                1.1939225          -13.103567
## 130   -5.051457                1.4350845          -10.363053
## 131   -5.744604                1.0647107          -13.642963
## 132   -5.654992                1.7578579          -12.058126
## 133   -4.342806                1.7047481          -11.983227
## 134   -4.906275                1.6677068          -12.813142
## 135   -5.744604                1.4816045          -11.499497
## 136   -4.074542                1.4350845          -12.374500
## 137   -6.319969                0.9162907          -14.135373
## 139   -5.683980                1.0986123          -14.406260
## 140   -5.521461                1.2237754          -13.881545
## 141   -5.240048                1.4109870          -11.250842
## 143   -4.947660                1.5260563          -12.134638
## 144   -5.426151                1.4816045          -13.528896
## 145   -5.914504                0.7884574          -14.696346
## 146   -5.099467                1.7404662          -13.103567
## 147   -4.947660                1.5040774          -13.881545
## 148   -4.199705                2.2512918          -12.907477
## 149   -5.360193                0.6931472          -15.008176
## 152   -5.496768                1.8082888          -12.458129
## 153   -6.319969                1.6094379          -12.374500
## 154   -5.099467                0.9162907          -14.696346
## 155   -5.115996                1.1314021          -12.631361
## 156   -5.132803                1.7227666          -12.543721
## 157   -5.259097                1.2527630          -13.310348
## 158   -5.991465                1.0647107          -14.268559
## 159   -5.184989                1.6292405          -11.838035
## 160   -4.828314                1.7404662          -12.721137
## 161   -4.509860                1.3609766          -12.458129
## 162   -5.472671                1.2237754          -15.523564
## 163   -5.240048                0.6931472          -15.709974
## 165   -5.496768                1.0986123          -14.135373
## 166   -5.318520                0.7419373          -14.135373
## 167   -4.755993                1.0647107          -14.406260
## 168   -5.449140                1.4816045          -14.006447
## 169   -5.203007                1.0647107          -13.205557
## 170   -4.268698                1.1314021          -12.134638
## 171   -5.713833                1.5040774          -10.599937
## 172   -5.654992                1.0296194          -12.631361
## 174   -3.575551                1.6292405          -11.435607
## 175   -4.828314                1.9021075          -11.838035
## 176   -5.020686                1.6863990          -11.133063
## 177   -5.167289                1.4586150          -14.548755
## 178   -5.240048                0.9555114          -14.135373
## 179   -3.506558                1.9021075          -13.103567
## 180   -4.853632                1.6292405          -13.103567
## 181   -6.074846                0.6931472          -15.173178
## 182   -5.521461                1.4109870          -15.173178
## 183   -4.892852                1.3862944          -13.205557
## 184   -5.654992                1.2809338          -12.813142
## 185   -4.422849                1.4109870          -12.212827
## 186   -5.496768                1.0647107          -16.545310
## 189   -5.991465                0.9932518          -13.205557
## 190   -5.278515                1.6292405          -14.406260
## 191   -5.449140                1.4109870          -13.528896
## 192   -5.149897                1.5040774          -13.881545
## 193   -4.645992                1.7749524          -11.191436
## 194   -4.135167                1.2237754          -12.907477
## 195   -5.546779                0.9932518          -12.907477
## 197   -5.035953                1.5040774          -11.983227
## 198   -4.947660                0.8329091          -15.904641
## 200   -5.952244                1.1939225          -12.721137
## 201   -5.496768                1.0986123          -13.642963
## 202   -6.377127                0.8329091          -14.696346
## 205   -5.403678                1.3609766          -17.028429
## 208   -5.203007                1.4816045          -13.881545
## 210   -4.605170                1.5040774          -10.699822
## 212   -5.083206                1.6677068          -12.631361
## 213   -5.115996                1.4109870          -12.458129
## 214   -6.119298                1.6863990          -12.543721
## 215   -5.991465                1.1631508          -14.696346
## 216   -4.422849                1.5475625          -13.004247
## 218   -4.605170                1.7047481          -13.103567
## 219   -5.259097                0.8754687          -13.760451
## 220   -6.725434                1.0986123          -14.406260
## 223   -5.496768                1.3862944          -12.212827
## 224   -6.437752                1.2809338          -12.721137
## 225   -5.521461                1.2809338          -13.528896
## 226   -4.906275                1.6486586          -13.205557
## 227   -4.767689                2.0541237          -12.813142
## 228   -6.265901                1.0647107          -14.696346
## 229   -6.119298                1.1939225          -14.006447
## 230   -4.744432                1.4350845          -12.292758
## 231   -6.074846                1.0647107          -11.767633
## 232   -5.259097                1.2809338          -12.907477
## 233   -5.020686                1.2809338          -13.205557
## 234   -4.268698                1.1939225          -11.983227
## 236   -5.991465                0.7419373          -13.004247
## 237   -4.710531                1.7047481          -10.185537
## 239   -5.914504                1.0296194          -13.418078
## 240   -5.449140                0.9162907          -14.548755
## 241   -6.725434                1.1939225          -11.983227
## 242   -3.575551                1.6781472          -14.135373
## 243   -5.184989                1.7227666          -10.317725
## 244   -4.906275                1.4109870          -11.698625
## 245   -6.319969                0.4054651          -15.904641
## 246   -4.677741                1.5892352          -11.698625
## 247   -5.744604                0.5877867          -15.709974
## 249   -5.339139                1.2237754          -14.849365
## 250   -5.683980                1.1631508          -13.310348
## 251   -4.947660                0.8754687          -12.721137
## 253   -4.721704                1.8718022          -10.750945
## 254   -5.083206                1.7578579          -12.721137
## 255   -4.509860                1.7749524          -11.191436
## 256   -5.654992                1.1314021          -15.523564
## 257   -5.184989                0.6418539          -15.523564
## 258   -4.017384                1.2809338          -10.802885
## 260   -5.020686                1.1939225          -13.310348
## 261   -5.005648                0.7884574          -13.004247
## 262   -4.947660                1.1314021          -14.135373
## 263   -4.840893                1.5040774          -13.004247
## 264   -4.342806                2.3025851           -8.191715
## 265   -5.654992                1.2809338          -14.406260
## 267   -5.449140                1.3350011          -13.310348
## 268   -4.268698                1.6486586          -13.103567
## 269   -6.725434                0.9162907          -14.696346
## 270   -5.472671                1.3609766          -14.268559
## 271   -4.677741                1.3083328          -12.458129
## 272   -4.779524                1.5260563          -11.564602
## 273   -5.278515                1.4586150          -13.881545
## 274   -5.381699                0.2623643          -13.418078
## 275   -5.952244                1.5260563          -13.205557
## 277   -5.184989                1.4586150          -11.838035
## 278   -6.377127                1.4350845          -12.292758
## 279   -5.843045                1.3862944          -12.058126
## 281   -5.259097                1.1314021          -13.205557
## 282   -5.654992                1.5892352          -12.458129
## 283   -3.649659                1.3609766          -12.907477
## 287   -5.259097                1.3350011          -14.548755
## 289   -5.914504                1.0986123          -13.004247
## 290   -5.952244                1.3609766          -14.268559
## 291   -5.240048                1.4586150          -12.721137
## 292   -6.377127                1.3083328          -12.374500
## 294   -6.119298                1.0296194          -15.709974
## 297   -4.961845                1.3609766          -14.006447
## 298   -6.319969                0.8754687          -13.205557
## 299   -5.403678                0.8754687          -12.721137
## 301   -6.165818                0.8754687          -12.721137
## 302   -5.259097                1.0986123          -11.311317
## 303   -4.840893                1.3083328          -13.310348
## 304   -4.422849                1.7047481          -11.499497
## 305   -4.840893                1.5475625          -15.904641
## 306   -4.866535                1.4586150          -11.133063
## 307   -3.963316                2.1747517          -11.191436
## 308   -4.721704                1.7404662          -12.458129
## 311   -4.422849                1.5475625          -11.019298
## 312   -5.051457                1.4109870           -8.417032
## 313   -4.853632                1.3083328          -14.406260
## 314   -5.776353                0.7884574          -15.523564
## 315   -5.035953                2.0014800          -12.721137
## 316   -5.132803                1.0296194          -13.310348
## 317   -5.843045                1.3350011          -13.418078
## 320   -4.677741                1.6863990          -11.630963
## 321   -4.509860                1.1939225          -12.292758
## 322   -4.135167                2.1162555          -10.551134
## 323   -4.074542                1.7227666          -13.418078
## 324   -6.502290                0.9162907          -14.849365
## 325   -5.339139                1.6677068          -12.907477
## 326   -4.422849                1.4586150          -14.006447
## 327   -4.779524                1.4586150          -11.838035
## 329   -5.449140                1.0986123          -16.321511
## 330   -4.906275                1.6094379          -11.838035
## 331   -4.509860                1.1939225          -14.406260
## 332   -5.521461                1.7047481          -12.543721
## 333   -5.051457                1.2809338          -12.907477
##     Alpha_1_Microglobulin Alpha_2_Macroglobulin Apolipoprotein_CIII
## 1               -2.577022             -72.65029           -2.312635
## 2               -3.244194            -154.61228           -2.343407
## 3               -2.882404            -136.52918           -2.748872
## 5               -2.343407            -144.94460           -1.514128
## 6               -2.551046            -154.61228           -2.312635
## 7               -3.270169            -149.60441           -2.375156
## 8               -2.900422            -144.94460           -2.120264
## 9               -3.649659            -194.94684           -2.476938
## 11              -3.079114             -91.36978           -2.322788
## 12              -2.353878            -132.71508           -1.832581
## 14              -2.513306            -104.44595           -2.563950
## 16              -2.900422             -94.72274           -2.577022
## 17              -2.733368            -149.60441           -2.312635
## 18              -3.296837            -225.75583           -3.057608
## 19              -2.975930            -179.08749           -2.120264
## 20              -2.590267            -186.64150           -1.771957
## 21              -2.937463            -149.60441           -2.322788
## 22              -3.688879            -165.84824           -3.036554
## 23              -3.575551            -238.63748           -2.780621
## 24              -3.411248            -179.08749           -2.465104
## 25              -3.170086            -194.94684           -2.333044
## 26              -3.218876            -186.64150           -2.577022
## 28              -3.057608            -165.84824           -2.590267
## 29              -3.816713            -238.63748           -2.975930
## 30              -3.270169            -225.75583           -2.385967
## 31              -2.617296            -172.18413           -2.040221
## 34              -2.563950            -186.64150           -1.897120
## 35              -2.453408            -179.08749           -1.966113
## 36              -2.040221            -140.59662           -1.560648
## 37              -3.324236            -172.18413           -2.703063
## 38              -3.015935            -154.61228           -2.733368
## 39              -3.194183            -144.94460           -3.057608
## 40              -2.796881            -140.59662           -2.659260
## 41              -2.501036            -106.66533           -1.427116
## 42              -2.796881            -125.75495           -2.830218
## 43              -3.575551            -194.94684           -2.900422
## 44              -2.645075             -89.78989           -2.900422
## 45              -2.748872            -136.52918           -2.322788
## 46              -3.270169            -125.75495           -3.079114
## 47              -3.079114            -100.30070           -2.551046
## 48              -3.057608             -71.69519           -2.525729
## 50              -2.590267             -93.01273           -2.120264
## 51              -3.270169            -125.75495           -2.513306
## 53              -2.918771             -82.71675           -2.476938
## 55              -2.918771            -160.01040           -2.563950
## 56              -2.419119            -140.59662           -2.513306
## 57              -2.525729             -67.30674           -2.937463
## 59              -2.441847            -108.99239           -1.966113
## 60              -3.123566             -84.03131           -2.796881
## 61              -3.411248            -179.08749           -2.864704
## 62              -3.772261            -225.75583           -2.513306
## 63              -2.780621             -96.50416           -2.659260
## 64              -2.453408            -165.84824           -1.897120
## 65              -3.352407            -160.01040           -2.830218
## 67              -3.324236            -122.56978           -2.603690
## 68              -2.659260             -75.69273           -2.476938
## 69              -3.473768            -122.56978           -2.617296
## 70              -3.729701            -149.60441           -3.015935
## 71              -2.441847            -179.08749           -2.563950
## 72              -1.832581            -138.25835           -1.714763
## 73              -1.897120             -81.44692           -2.207275
## 74              -2.813411            -186.64150           -2.120264
## 75              -2.419119            -129.13061           -2.120264
## 76              -2.718101            -154.61228           -2.513306
## 77              -2.688248            -165.84824           -2.207275
## 78              -2.353878            -140.59662           -2.733368
## 80              -2.830218             -91.36978           -2.476938
## 81              -3.170086            -160.01040           -2.780621
## 82              -3.015935            -149.60441           -2.590267
## 83              -2.673649            -165.84824           -2.645075
## 84              -3.146555            -154.61228           -2.847312
## 85              -2.590267            -136.52918           -2.551046
## 86              -1.832581            -140.59662           -2.207275
## 88              -2.441847             -74.64766           -2.645075
## 90              -4.342806            -253.28958           -3.473768
## 93              -2.780621            -140.59662           -2.780621
## 94              -2.333044            -102.32669           -1.832581
## 95              -3.244194            -214.33276           -1.966113
## 96              -3.015935            -172.18413           -2.748872
## 97              -3.170086            -172.18413           -2.830218
## 98              -3.816713            -186.64150           -2.590267
## 99              -2.703063            -140.59662           -2.590267
## 100             -3.170086            -154.61228           -2.975930
## 103             -3.218876            -116.70786           -2.453408
## 104             -3.194183            -154.61228           -2.830218
## 105             -3.057608            -172.18413           -2.631089
## 107             -2.813411             -93.01273           -2.501036
## 108             -2.353878            -165.84824           -2.207275
## 109             -3.688879            -204.12656           -2.995732
## 110             -4.017384            -225.75583           -3.688879
## 111             -2.956512            -102.32669           -2.659260
## 112             -1.966113             -93.01273           -1.609438
## 113             -2.419119            -102.32669           -1.897120
## 114             -3.296837            -194.94684           -2.302585
## 115             -2.718101            -104.44595           -2.120264
## 117             -3.688879            -253.28958           -2.207275
## 118             -2.937463            -100.30070           -2.590267
## 121             -2.631089            -116.70786           -2.207275
## 123             -3.649659            -225.75583           -2.703063
## 124             -2.375156            -160.01040           -2.525729
## 126             -3.324236            -165.84824           -3.079114
## 128             -2.590267            -132.71508           -1.237874
## 129             -3.079114            -194.94684           -3.324236
## 130             -2.302585            -144.94460           -2.120264
## 131             -3.079114            -186.64150           -2.538307
## 132             -2.733368            -204.12656           -2.577022
## 133             -2.353878            -149.60441           -1.660731
## 134             -2.441847             -94.72274           -2.120264
## 135             -3.079114            -119.55888           -2.207275
## 136             -3.015935            -165.84824           -2.407946
## 137             -3.575551            -194.94684           -2.733368
## 139             -3.244194            -172.18413           -2.441847
## 140             -2.830218            -108.99239           -2.645075
## 141             -2.956512            -165.84824           -2.302585
## 143             -2.900422            -204.12656           -2.396896
## 144             -2.659260            -165.84824           -2.748872
## 145             -3.688879            -225.75583           -2.847312
## 146             -2.120264            -140.59662           -2.302585
## 147             -2.995732             -89.78989           -2.733368
## 148             -2.040221            -136.52918           -2.302585
## 149             -3.057608            -179.08749           -2.780621
## 152             -2.302585             -59.45638           -2.040221
## 153             -2.577022            -116.70786           -2.465104
## 154             -3.244194            -172.18413           -2.513306
## 155             -3.270169            -160.01040           -2.120264
## 156             -2.385967            -165.84824           -2.120264
## 157             -3.296837            -165.84824           -2.577022
## 158             -3.381395            -194.94684           -2.937463
## 159             -3.506558            -194.94684           -2.513306
## 160             -2.882404            -136.52918           -2.375156
## 161             -2.302585            -149.60441           -2.577022
## 162             -3.729701            -119.55888           -3.057608
## 163             -4.017384            -194.94684           -3.411248
## 165             -3.352407            -154.61228           -3.506558
## 166             -3.352407            -149.60441           -2.718101
## 167             -2.813411            -140.59662           -2.882404
## 168             -3.244194            -186.64150           -2.120264
## 169             -3.146555            -194.94684           -2.645075
## 170             -2.995732            -186.64150           -2.353878
## 171             -2.780621            -154.61228           -2.703063
## 172             -3.411248            -225.75583           -2.302585
## 174             -1.897120             -71.69519           -1.386294
## 175             -2.343407            -119.55888           -1.609438
## 176             -2.688248            -125.75495           -2.718101
## 177             -3.540459            -165.84824           -2.937463
## 178             -3.411248            -225.75583           -2.577022
## 179             -2.120264            -116.70786           -1.469676
## 180             -2.688248            -160.01040           -2.501036
## 181             -3.381395            -225.75583           -3.352407
## 182             -3.296837            -194.94684           -2.207275
## 183             -2.780621            -214.33276           -1.832581
## 184             -2.918771            -149.60441           -2.673649
## 185             -2.476938            -144.94460           -2.120264
## 186             -3.244194            -194.94684           -2.796881
## 189             -3.649659            -186.64150           -2.796881
## 190             -2.937463            -132.71508           -2.995732
## 191             -3.352407            -179.08749           -2.617296
## 192             -2.631089            -149.60441           -2.847312
## 193             -2.796881            -140.59662           -2.385967
## 194             -2.847312            -160.01040           -2.488915
## 195             -3.101093            -172.18413           -2.703063
## 197             -2.120264             -94.72274           -2.302585
## 198             -3.611918            -186.64150           -3.146555
## 200             -3.381395            -165.84824           -2.419119
## 201             -3.411248            -144.94460           -2.733368
## 202             -3.688879            -225.75583           -2.617296
## 205             -2.673649            -172.18413           -2.937463
## 208             -2.918771            -149.60441           -2.577022
## 210             -2.501036             -98.36175           -1.966113
## 212             -2.748872            -186.64150           -2.563950
## 213             -2.453408            -179.08749           -2.364460
## 214             -2.796881            -160.01040           -2.040221
## 215             -3.611918            -136.52918           -2.937463
## 216             -2.780621            -194.94684           -2.673649
## 218             -2.207275            -165.84824           -2.120264
## 219             -3.270169            -179.08749           -2.488915
## 220             -3.411248            -172.18413           -2.995732
## 223             -2.563950            -194.94684           -1.966113
## 224             -3.244194            -214.33276           -2.396896
## 225             -3.473768            -179.08749           -2.703063
## 226             -3.244194            -136.52918           -3.123566
## 227             -1.966113            -179.08749           -1.771957
## 228             -3.352407            -214.33276           -3.194183
## 229             -3.170086            -225.75583           -2.937463
## 230             -1.966113             -75.69273           -2.207275
## 231             -3.123566            -144.94460           -2.563950
## 232             -2.975930            -140.59662           -3.079114
## 233             -3.036554            -186.64150           -2.501036
## 234             -2.673649            -129.13061           -2.040221
## 236             -3.352407            -204.12656           -3.170086
## 237             -2.563950            -149.60441           -2.385967
## 239             -3.863233            -253.28958           -3.057608
## 240             -2.617296            -116.70786           -2.577022
## 241             -3.244194            -179.08749           -2.040221
## 242             -1.771957            -160.01040           -1.469676
## 243             -2.733368            -179.08749           -2.419119
## 244             -2.673649            -172.18413           -2.396896
## 245             -3.912023            -253.28958           -3.540459
## 246             -2.322788            -149.60441           -2.120264
## 247             -3.729701            -204.12656           -3.473768
## 249             -2.995732            -160.01040           -3.411248
## 250             -2.813411            -179.08749           -2.748872
## 251             -3.218876            -179.08749           -2.918771
## 253             -2.525729            -144.94460           -2.207275
## 254             -2.430418            -132.71508           -2.207275
## 255             -2.617296            -106.66533           -2.040221
## 256             -3.611918            -186.64150           -3.079114
## 257             -3.218876            -214.33276           -2.631089
## 258             -2.302585            -160.01040           -2.322788
## 260             -2.900422            -179.08749           -2.577022
## 261             -3.270169            -214.33276           -2.631089
## 262             -3.411248            -194.94684           -2.918771
## 263             -2.796881            -104.44595           -2.040221
## 264             -2.353878            -144.94460           -1.897120
## 265             -3.352407            -186.64150           -2.780621
## 267             -2.813411            -160.01040           -2.525729
## 268             -2.385967             -79.03231           -2.353878
## 269             -3.816713            -194.94684           -3.101093
## 270             -3.146555            -129.13061           -3.244194
## 271             -2.501036            -122.56978           -2.465104
## 272             -2.780621            -194.94684           -2.441847
## 273             -3.244194            -116.70786           -3.036554
## 274             -3.411248            -149.60441           -2.864704
## 275             -2.864704            -179.08749           -2.513306
## 277             -2.748872            -186.64150           -2.207275
## 278             -2.813411            -154.61228           -2.430418
## 279             -3.244194            -204.12656           -2.302585
## 281             -3.057608            -186.64150           -2.551046
## 282             -2.513306            -194.94684           -2.040221
## 283             -2.513306            -111.43549           -2.207275
## 287             -3.079114            -172.18413           -2.120264
## 289             -3.270169            -253.28958           -2.764621
## 290             -3.146555            -214.33276           -2.688248
## 291             -2.703063            -140.59662           -2.631089
## 292             -2.995732            -179.08749           -2.525729
## 294             -3.244194            -253.28958           -2.207275
## 297             -2.577022            -179.08749           -2.864704
## 298             -2.617296            -186.64150           -2.590267
## 299             -3.540459            -132.71508           -2.364460
## 301             -2.864704            -194.94684           -2.864704
## 302             -3.324236            -289.68493           -2.603690
## 303             -3.057608            -172.18413           -2.918771
## 304             -3.381395            -172.18413           -2.617296
## 305             -2.718101            -132.71508           -2.538307
## 306             -2.040221            -165.84824           -1.609438
## 307             -2.120264            -140.59662           -1.560648
## 308             -2.419119            -122.56978           -1.832581
## 311             -2.764621            -165.84824           -2.040221
## 312             -2.688248            -160.01040           -2.040221
## 313             -3.057608            -186.64150           -2.302585
## 314             -3.772261            -172.18413           -3.352407
## 315             -2.538307            -149.60441           -1.560648
## 316             -3.381395            -154.61228           -2.476938
## 317             -3.244194            -160.01040           -2.617296
## 320             -2.040221            -179.08749           -1.386294
## 321             -2.813411            -165.84824           -2.207275
## 322             -2.120264            -154.61228           -2.120264
## 323             -2.430418            -119.55888           -2.764621
## 324             -3.649659            -125.75495           -3.101093
## 325             -2.813411            -140.59662           -2.847312
## 326             -3.123566            -165.84824           -2.918771
## 327             -2.419119             -86.80482           -2.120264
## 329             -3.324236            -160.01040           -2.796881
## 330             -2.120264            -154.61228           -1.514128
## 331             -3.170086            -179.08749           -2.733368
## 332             -3.036554            -132.71508           -2.617296
## 333             -2.995732            -194.94684           -2.385967
##     Apolipoprotein_D B_Lymphocyte_Chemoattractant_BL        CD5L
## 1          2.0794415                       2.2969819  0.09531018
## 2          1.3350011                       1.6731213 -0.67334455
## 3          1.3350011                       1.6731213  0.09531018
## 5          1.6292405                       2.2969819  0.36331197
## 6          1.9169226                       2.4798381  0.40546511
## 7          1.5260563                       1.6731213 -0.24846136
## 8          1.7227666                       3.7036702  0.53062825
## 9          0.9555114                       2.3713615 -0.75502258
## 11         1.4109870                       1.8527528 -0.01005034
## 12         1.2809338                       2.6867663  0.83290912
## 14         1.3350011                       1.6731213  0.26236426
## 16         1.3609766                       2.9757467 -0.26136476
## 17         1.0986123                       3.0064666  0.33647224
## 18         1.4109870                       1.2740115 -0.16251893
## 19         1.3609766                       2.2786154  0.00000000
## 20         1.3862944                       2.0627326 -0.05129329
## 21         0.9162907                       1.4308338  0.18232156
## 22         1.3083328                       1.9805094 -0.86750057
## 23         0.4700036                       0.7317775 -0.61618614
## 24         1.9021075                       1.8527528 -0.75502258
## 25         1.8245493                       1.8527528 -0.52763274
## 26         0.8754687                       1.8527528 -0.63487827
## 28         1.7227666                       1.8527528  0.18232156
## 29         1.1631508                       2.3713615 -0.15082289
## 30         1.4586150                       0.7987698 -0.38566248
## 31         1.5040774                       2.0219013  0.33647224
## 34         1.3083328                       2.3713615 -0.16251893
## 35         1.2809338                       1.9805094  0.18232156
## 36         1.9600948                       3.4937139  0.87546874
## 37         1.6292405                       2.1820549 -0.57981850
## 38         1.0986123                       2.3713615 -0.75502258
## 39         1.1314021                       2.0627326 -0.32850407
## 40         1.4586150                       2.0627326  0.00000000
## 41         1.6486586                       2.6867663  0.47000363
## 42         1.1314021                       2.5152196 -0.77652879
## 43         1.0647107                       2.1427912  0.18232156
## 44         1.4109870                       1.6731213  0.53062825
## 45         1.7404662                       2.1820549  0.00000000
## 46         0.9555114                       2.6531400 -0.54472718
## 47         0.9932518                       2.3713615  0.26236426
## 48         1.1631508                       2.5848812 -0.17435339
## 50         1.2809338                       2.3713615  0.18232156
## 51         1.6677068                       1.9805094 -0.34249031
## 53         1.0296194                       1.2740115  0.18232156
## 55         1.2237754                       0.7317775 -0.26136476
## 56         1.6677068                       2.6867663  0.47000363
## 57         1.5475625                       2.6867663  0.18232156
## 59         1.7227666                       2.9757467  0.33647224
## 60         1.5892352                       1.6731213  0.26236426
## 61         0.9555114                       1.2740115 -0.35667494
## 62         1.1631508                       1.2740115 -0.38566248
## 63         0.9932518                       2.3713615 -0.65392647
## 64         1.3350011                       2.9757467  0.78845736
## 65         0.9555114                       1.6731213 -0.41551544
## 67         1.0647107                       1.9805094 -0.23572233
## 68         1.6486586                       2.3713615 -0.59783700
## 69         0.9932518                       1.2740115 -0.04082199
## 70         1.3350011                       2.1820549 -0.96758403
## 71         0.7419373                       2.0627326  0.18232156
## 72         1.8718022                       2.6531400  0.91629073
## 73         1.0296194                       2.0627326  1.09861229
## 74         1.3862944                       2.0219013 -0.19845094
## 75         1.2527630                       2.3713615 -0.13926207
## 76         1.6094379                       2.6867663  0.00000000
## 77         1.3862944                       1.9805094  0.53062825
## 78         2.0794415                       1.8527528  0.64185389
## 80         1.5040774                       2.0219013 -0.82098055
## 81         1.3862944                       1.9805094 -0.44628710
## 82         1.7917595                       2.7530556  0.18232156
## 83         1.6292405                       2.3713615  0.33647224
## 84         1.2809338                       1.9805094 -0.31471074
## 85         1.7047481                       1.9805094 -0.24846136
## 86         1.6863990                       3.4937139  0.69314718
## 88         1.6863990                       2.4440754  0.69314718
## 90         1.0296194                       1.5303762 -0.44628710
## 93         1.5475625                       2.6867663  0.33647224
## 94         2.1633230                       2.9757467  0.58778666
## 95         1.3350011                       1.2740115 -0.21072103
## 96         1.4586150                       2.1820549 -0.19845094
## 97         1.7917595                       2.1820549 -0.52763274
## 98         1.0986123                       0.7987698 -0.40047757
## 99         1.6094379                       2.6531400  0.09531018
## 100        1.5686159                       1.9805094 -0.24846136
## 103        1.5686159                       2.3713615 -0.07257069
## 104        1.4350845                       1.9805094  0.00000000
## 105        1.3609766                       1.2740115 -0.49429632
## 107        1.5686159                       1.8527528  0.00000000
## 108        2.1517622                       2.0219013  0.26236426
## 109        1.1314021                       1.2740115 -0.84397007
## 110        0.8754687                       1.4810717 -0.49429632
## 111        1.4816045                       2.3713615 -0.22314355
## 112        1.8405496                       2.2969819  1.16315081
## 113        1.4816045                       2.1820549  0.47000363
## 114        1.5686159                       2.1820549 -0.11653382
## 115        1.8082888                       2.9757467  0.47000363
## 117        1.3862944                       2.2969819 -0.24846136
## 118        1.7404662                       1.8527528 -0.24846136
## 121        2.0794415                       2.6867663  0.09531018
## 123        1.1939225                       1.6731213 -0.30110509
## 124        1.8718022                       2.3713615  0.26236426
## 126        0.8329091                       2.3713615 -0.28768207
## 128        1.7917595                       2.3713615  0.18232156
## 129        1.3609766                       2.6867663 -0.59783700
## 130        1.2237754                       3.0064666 -0.59783700
## 131        0.9162907                       2.2208309  0.00000000
## 132        1.3862944                       1.6731213  0.64185389
## 133        2.1162555                       2.1820549  0.47000363
## 134        1.7227666                       2.7530556  0.64185389
## 135        1.8082888                       1.6731213  0.18232156
## 136        1.5260563                       2.3713615  0.26236426
## 137        0.7419373                       0.7317775 -0.34249031
## 139        1.2527630                       2.1820549 -0.12783337
## 140        1.8718022                       1.8527528 -0.05129329
## 141        1.6486586                       2.1820549 -0.16251893
## 143        1.1939225                       1.8527528  0.74193734
## 144        1.5260563                       1.8527528  0.33647224
## 145        1.0647107                       0.7987698 -0.28768207
## 146        2.0412203                       2.4798381  0.09531018
## 147        1.8082888                       1.8527528 -0.04082199
## 148        2.0281482                       3.4937139 -0.03045921
## 149        1.1314021                       1.2740115 -0.44628710
## 152        2.1972246                       2.4798381  0.53062825
## 153        2.0918641                       2.1820549  0.64185389
## 154        0.9555114                       1.2740115  0.00000000
## 155        1.5892352                       1.6731213 -0.05129329
## 156        1.3862944                       1.6731213 -0.26136476
## 157        1.4586150                       2.0219013 -0.19845094
## 158        1.1939225                       1.4810717 -0.94160854
## 159        0.6931472                       1.8813120 -0.11653382
## 160        1.3350011                       2.0627326  0.09531018
## 161        1.1939225                       2.3713615  0.69314718
## 162        1.0986123                       1.9805094 -0.35667494
## 163        0.9555114                       1.9805094 -0.56211892
## 165        1.1314021                       1.4308338 -0.73396918
## 166        1.1631508                       0.9269604 -0.63487827
## 167        1.5475625                       2.5152196 -0.17435339
## 168        1.2809338                       2.0627326 -0.19845094
## 169        1.5475625                       1.8527528 -0.15082289
## 170        1.2809338                       1.4308338  0.18232156
## 171        1.6486586                       1.9805094 -0.02020271
## 172        1.3609766                       1.6731213 -0.10536052
## 174        1.9600948                       2.3713615  0.69314718
## 175        2.2721259                       2.0219013  0.91629073
## 176        1.3609766                       2.6867663 -1.23787436
## 177        1.5475625                       1.5303762 -0.05129329
## 178        0.7884574                       1.9805094 -0.43078292
## 179        1.8562980                       2.4798381  0.58778666
## 180        1.9878743                       3.0064666  0.40546511
## 181        1.1631508                       1.7643559 -0.28768207
## 182        1.4109870                       1.6731213 -0.51082562
## 183        2.0014800                       1.8527528 -0.52763274
## 184        1.6863990                       2.1820549 -0.43078292
## 185        1.4816045                       2.3713615 -0.17435339
## 186        1.3083328                       1.4308338  0.00000000
## 189        1.3862944                       1.4308338 -0.28768207
## 190        1.7917595                       1.9805094  0.09531018
## 191        1.7404662                       1.9805094 -0.30110509
## 192        1.4109870                       1.9805094 -0.06187540
## 193        1.4350845                       2.3713615  0.40546511
## 194        1.5475625                       1.9805094 -0.57981850
## 195        1.0986123                       1.2740115 -0.35667494
## 197        1.7917595                       2.1820549 -0.17435339
## 198        1.3083328                       0.9269604  0.00000000
## 200        1.5892352                       2.0219013 -0.11653382
## 201        1.4586150                       2.3713615  0.00000000
## 202        0.8754687                       0.7987698 -0.52763274
## 205        1.2527630                       1.8527528  0.09531018
## 208        1.7047481                       1.9805094 -0.40047757
## 210        1.7404662                       1.8527528  0.26236426
## 212        1.0647107                       1.9805094 -0.57981850
## 213        1.6486586                       1.4308338  0.09531018
## 214        1.1631508                       1.2740115  0.26236426
## 215        0.7419373                       1.2740115 -0.57981850
## 216        1.3083328                       2.3713615  0.00000000
## 218        1.7917595                       2.9757467  0.47000363
## 219        1.0986123                       1.9805094 -0.04082199
## 220        1.1939225                       2.3713615 -0.02020271
## 223        1.8718022                       1.6731213  0.18232156
## 224        1.2809338                       1.2740115  0.09531018
## 225        1.3083328                       1.2740115 -0.37106368
## 226        1.8870696                       2.6867663 -1.10866262
## 227        2.0412203                       2.2969819  0.35333823
## 228        0.7884574                       0.7987698 -0.46203546
## 229        1.6486586                       1.4308338  0.26236426
## 230        1.5260563                       1.8527528 -0.03045921
## 231        1.2527630                       1.8527528 -0.07257069
## 232        1.3083328                       2.6867663 -0.16251893
## 233        1.5686159                       1.9805094 -0.13926207
## 234        1.8405496                       1.4308338  0.26236426
## 236        1.1631508                       1.4308338 -1.04982212
## 237        1.7404662                       2.6867663  0.33647224
## 239        1.1631508                       0.7987698 -0.17435339
## 240        0.9932518                       0.7987698 -0.11653382
## 241        1.3350011                       1.8527528 -0.44628710
## 242        1.5040774                       2.2208309  0.99325177
## 243        1.4350845                       2.6867663 -0.08338161
## 244        1.3862944                       2.3713615  0.09531018
## 245        0.8329091                       1.5303762 -1.17118298
## 246        1.8562980                       1.6731213  0.58778666
## 247        0.6418539                       1.5303762 -0.51082562
## 249        1.1631508                       2.1820549 -0.37106368
## 250        1.1939225                       2.0627326  0.18232156
## 251        1.2527630                       2.1820549 -0.19845094
## 253        1.6486586                       2.8501989  0.33647224
## 254        1.8870696                       2.2969819  0.26236426
## 255        1.8082888                       2.3713615  0.40546511
## 256        0.8754687                       1.9805094 -0.18632958
## 257        1.0647107                       1.5303762 -0.30110509
## 258        0.8754687                       2.3713615  0.58778666
## 260        1.4816045                       2.3713615  0.40546511
## 261        0.9932518                       1.5303762 -0.23572233
## 262        1.2527630                       1.9805094 -0.47803580
## 263        1.6863990                       2.3713615 -0.44628710
## 264        2.0014800                       2.3713615  0.26236426
## 265        1.4109870                       2.3713615 -0.06187540
## 267        1.8718022                       2.1820549 -0.23572233
## 268        1.4109870                       1.9805094  0.83290912
## 269        1.1314021                       0.7987698 -0.13926207
## 270        1.5686159                       1.5303762  0.83290912
## 271        1.6094379                       1.9805094  0.87546874
## 272        1.5686159                       2.3713615  0.09531018
## 273        1.4109870                       2.6867663 -0.07257069
## 274        1.3083328                       1.5303762 -0.47803580
## 275        1.6094379                       1.6731213 -0.67334455
## 277        1.4586150                       1.4308338  0.53062825
## 278        1.5475625                       1.2740115 -0.54472718
## 279        1.5686159                       0.9884391 -0.19845094
## 281        1.5892352                       1.8527528  0.00000000
## 282        1.2527630                       2.3713615  0.26236426
## 283        1.6094379                       4.0237466 -0.16251893
## 287        1.1314021                       1.2740115 -0.61618614
## 289        1.4586150                       1.2740115 -0.35667494
## 290        0.9555114                       1.0483341  0.00000000
## 291        1.6863990                       1.8527528  0.18232156
## 292        1.8405496                       2.2969819 -0.04082199
## 294        1.5040774                       1.6731213 -0.40047757
## 297        1.4350845                       2.1820549 -1.17118298
## 298        1.2809338                       1.6731213  0.09531018
## 299        1.7047481                       1.8527528 -0.19845094
## 301        1.2527630                       2.3713615 -0.35667494
## 302        1.3609766                       0.7987698 -0.18632958
## 303        1.5686159                       1.9805094  0.53062825
## 304        1.3862944                       1.9805094 -1.04982212
## 305        1.7227666                       1.9805094 -0.03045921
## 306        1.8870696                       2.2969819  0.33647224
## 307        2.2512918                       2.0219013  0.87546874
## 308        1.7917595                       1.2740115  0.33647224
## 311        1.5686159                       2.6867663 -0.09431068
## 312        1.3609766                       2.3713615 -0.06187540
## 313        1.6486586                       2.6867663 -0.28768207
## 314        1.3083328                       1.5303762 -0.71334989
## 315        1.5892352                       1.6731213  0.09531018
## 316        1.1939225                       1.6731213 -0.40047757
## 317        1.2527630                       1.2740115 -0.63487827
## 320        1.4350845                       2.0627326  0.40546511
## 321        1.3350011                       1.2740115  0.09531018
## 322        1.4109870                       2.6867663  0.69314718
## 323        1.3083328                       2.3713615  0.09531018
## 324        1.2237754                       1.6731213 -0.37106368
## 325        1.6677068                       2.9757467 -0.23572233
## 326        1.3083328                       2.5152196 -0.46203546
## 327        1.9740810                       2.7530556 -0.37106368
## 329        1.1939225                       1.9805094 -0.49429632
## 330        1.9169226                       1.8527528  0.26236426
## 331        1.2809338                       2.3713615  0.09531018
## 332        1.6863990                       2.6867663  0.26236426
## 333        1.5475625                       2.6867663  0.18232156
##     Clusterin_Apo_J Complement_3 Cortisol Creatine_Kinase_MB Cystatin_C
## 1          3.555348   -10.363053     10.0          -1.710172   9.041922
## 2          3.044522   -16.108237     12.0          -1.751002   9.067624
## 3          2.772589   -16.108237     10.0          -1.383559   8.954157
## 5          3.044522   -12.813142     11.0          -1.625834   8.977146
## 6          2.564949   -11.983227     13.0          -1.671366   7.835975
## 7          3.178054   -16.545310      4.9          -1.739232   8.740337
## 8          2.772589   -14.406260     13.0          -1.571048   7.736307
## 9          2.564949   -19.247713     12.0          -1.671366   8.357024
## 11         3.091042   -11.838035      6.8          -1.751002   8.375630
## 12         2.833213   -15.709974     12.0          -1.671366   8.061487
## 14         2.890372   -12.134638     15.0          -1.683772   8.692826
## 16         3.044522   -12.721137     12.0          -1.671366   8.326033
## 17         2.944439   -12.813142     12.0          -1.871938   8.055158
## 18         2.302585   -17.860668      0.1          -1.780911   8.373323
## 19         2.397895   -16.780588     10.0          -1.647864   7.615791
## 20         2.708050   -15.523564     18.0          -1.518336   8.696176
## 21         2.484907   -13.528896     26.0          -1.671366   7.944492
## 22         2.944439   -16.108237     14.0          -1.647864   8.972083
## 23         2.564949   -18.506668     16.0          -1.590122   8.373323
## 24         3.401197   -17.860668      7.8          -1.751002   8.765615
## 25         2.708050   -20.111728      8.6          -1.724319   8.035926
## 26         2.995732   -17.860668     14.0          -1.724319   8.163371
## 28         3.332205   -16.321511      8.9          -1.755051   8.737132
## 29         2.564949   -17.860668     15.0          -1.647864   8.019613
## 30         2.564949   -18.863805      1.8          -1.710172   8.092545
## 31         2.995732   -16.108237     19.0          -1.653590   8.564077
## 34         2.772589   -16.108237     14.0          -1.625834   8.407378
## 35         2.484907   -16.545310     14.0          -1.625834   7.965546
## 36         2.833213   -13.881545      9.8          -1.671366   8.357024
## 37         3.044522   -17.860668     14.0          -1.780911   8.359369
## 38         2.708050   -16.545310      9.5          -1.585271   8.294050
## 39         3.295837   -16.545310     15.0          -1.683772   9.268609
## 40         2.833213   -14.548755     12.0          -1.590122   8.782630
## 41         2.890372    -9.562842     13.0          -1.671366   8.352319
## 42         2.890372   -14.696346     11.0          -1.724319   8.538955
## 43         2.397895   -18.506668     10.0          -1.710172   8.055158
## 44         2.995732   -12.134638      9.5          -1.590122   8.980927
## 45         3.218876   -12.212827     15.0          -1.780911   8.720950
## 46         2.772589   -14.406260     15.0          -1.590122   9.341369
## 47         2.564949   -13.528896     15.0          -1.868851   7.791523
## 48         3.496508   -11.909882     15.0          -1.780911   8.972083
## 50         3.496508   -12.631361      9.8          -1.671366   8.519191
## 51         2.833213   -14.696346     10.0          -1.571048   8.954157
## 53         2.890372   -12.374500     11.0          -1.518336   8.730690
## 55         2.833213   -15.709974     15.0          -1.590122   8.884610
## 56         2.772589   -15.709974     12.0          -1.696685   8.490849
## 57         3.332205   -11.191436     11.0          -1.571048   9.441452
## 59         2.890372   -12.721137     11.0          -1.671366   8.438150
## 60         2.772589   -13.004247      7.0          -1.653590   8.405144
## 61         2.772589   -18.506668     17.0          -1.710172   8.311398
## 62         2.708050   -20.111728      7.1          -1.653590   8.188689
## 63         2.639057   -12.374500     13.0          -1.724319   8.218787
## 64         2.890372   -13.004247     10.0          -1.671366   8.470102
## 65         2.708050   -17.860668     13.0          -1.590122   8.679312
## 67         2.833213   -14.406260     18.0          -1.868851   8.821732
## 68         2.890372   -12.631361     15.0          -1.647864   8.919988
## 69         2.302585   -14.696346      7.4          -1.653590   8.407378
## 70         3.044522   -17.028429     14.0          -1.755051   8.634087
## 71         2.639057   -16.545310     15.0          -1.683772   8.646466
## 72         3.401197   -13.746698     15.0          -1.751002   9.694000
## 73         2.944439   -12.212827     11.0          -1.459630   9.230143
## 74         2.397895   -14.006447     13.0          -1.605032   7.992945
## 75         2.944439   -14.135373     16.0          -1.631218   8.398410
## 76         3.295837   -15.008176     12.0          -1.755051   8.929303
## 77         3.044522   -15.344812     17.0          -1.751002   8.843615
## 78         3.332205   -13.205557     11.0          -1.780911   8.811354
## 80         2.772589   -10.909311     11.0          -1.605032   8.171882
## 81         2.944439   -17.860668     12.0          -1.780911   8.656955
## 82         3.135494   -14.696346     14.0          -1.871938   8.496990
## 83         2.772589   -15.523564     12.0          -1.441430   8.391630
## 84         2.708050   -15.344812     14.0          -1.671366   8.301522
## 85         3.401197   -14.849365     12.0          -1.671366   9.203316
## 86         3.295837   -14.696346     12.0          -1.724319   9.072227
## 88         3.135494   -10.599937     12.0          -1.710172   8.790269
## 90         2.151762   -19.662161      9.9          -1.571048   7.625595
## 93         3.091042   -15.904641     12.0          -1.830294   8.634087
## 94         3.367296   -13.418078     18.0          -1.724319   9.196241
## 95         2.833213   -17.860668      5.9          -1.751002   8.064636
## 96         3.295837   -16.321511     11.0          -1.724319   8.625150
## 97         3.091042   -18.863805      8.2          -1.780911   8.681011
## 98         2.484907   -17.860668      8.3          -1.710172   8.229511
## 99         2.833213   -16.545310     15.0          -1.590122   9.065315
## 100        3.091042   -16.780588      6.5          -1.724319   9.061840
## 103        3.044522   -16.545310     16.0          -1.590122   9.546813
## 104        2.890372   -16.321511     14.0          -1.830294   9.220291
## 105        3.178054   -17.566939      9.0          -1.751002   9.375855
## 107        2.944439   -11.909882     10.0          -1.653590   8.877661
## 108        2.995732   -15.008176     13.0          -1.653590   8.895630
## 109        2.639057   -20.602047     14.0          -1.552786   8.612503
## 110        2.302585   -23.387329     11.0          -1.653590   8.194229
## 111        3.091042   -13.310348      9.1          -1.647864   8.767173
## 112        3.295837   -11.983227     13.0          -1.653590   8.987197
## 113        3.218876   -11.191436     13.0          -1.821115   8.448914
## 114        2.484907   -16.108237     13.0          -1.780911   8.032685
## 115        2.833213   -11.698625     29.0          -1.724319   8.237479
## 117        3.135494   -18.173167     13.0          -1.653590   8.706159
## 118        3.367296   -12.543721     11.0          -1.755051   8.616133
## 121        2.944439   -13.760451     18.0          -1.671366   8.839277
## 123        2.397895   -19.662161      9.5          -1.677510   8.151910
## 124        2.708050   -13.881545     13.0          -1.647864   8.767173
## 126        2.302585   -18.173167     10.0          -1.671366   8.737132
## 128        2.890372   -14.268559      8.9          -1.868851   8.724207
## 129        2.708050   -19.662161      8.4          -1.671366   8.122668
## 130        2.833213   -14.548755      4.0          -1.696685   8.294050
## 131        2.708050   -18.863805     10.0          -1.590122   8.722580
## 132        2.890372   -15.523564     12.0          -1.653590   8.649974
## 133        3.218876   -12.721137     13.0          -1.780911   8.416267
## 134        3.091042   -11.075694     12.0          -1.631218   8.669056
## 135        2.995732   -14.696346      8.7          -1.710172   8.760923
## 136        2.890372   -15.904641     29.0          -1.647864   8.328451
## 137        2.564949   -18.863805      9.7          -1.747018   8.143227
## 139        2.564949   -15.523564     13.0          -1.671366   8.294050
## 140        3.091042   -11.838035     22.0          -1.871938   8.674197
## 141        2.995732   -14.849365     12.0          -1.871938   8.422883
## 143        2.890372   -15.173178      7.1          -1.653590   8.266164
## 144        2.639057   -15.344812     12.0          -1.751002   8.242756
## 145        2.708050   -19.662161      9.8          -1.710172   8.760923
## 146        3.218876   -13.760451     15.0          -1.631218   8.558335
## 147        3.332205   -11.564602     11.0          -1.755051   8.738735
## 148        3.258097   -13.881545      9.7          -1.571048   8.582981
## 149        2.639057   -19.662161      8.9          -1.518336   8.625150
## 152        3.583519   -10.455704     14.0          -1.724319   9.096051
## 153        3.258097   -12.212827      8.8          -1.724319   8.474286
## 154        2.944439   -18.173167      8.9          -1.518336   8.759355
## 155        2.639057   -14.268559      8.1          -1.605032   8.509161
## 156        3.044522   -16.321511      9.0          -1.631218   9.002085
## 157        2.772589   -16.780588     11.0          -1.653590   8.887376
## 158        2.833213   -15.173178      7.0          -1.590122   8.865029
## 159        2.484907   -18.863805      9.3          -1.585271   7.933797
## 160        3.583519   -15.008176      8.5          -1.683772   9.341369
## 161        2.833213   -14.006447     13.0          -1.671366   8.887376
## 162        3.044522   -15.344812      9.1          -1.647864   8.930626
## 163        2.639057   -18.506668     11.0          -1.647864   8.501064
## 165        2.833213   -16.545310     14.0          -1.653590   8.677610
## 166        2.995732   -15.344812     13.0          -1.868851   8.649974
## 167        3.332205   -16.780588     10.0          -1.647864   9.694000
## 168        3.178054   -18.173167      7.7          -1.683772   8.894259
## 169        2.639057   -17.860668     12.0          -1.631218   8.174703
## 170        2.772589   -14.849365     14.0          -1.724319   7.922986
## 171        3.135494   -13.760451     13.0          -1.671366   9.014325
## 172        2.772589   -18.863805      8.5          -1.677510   8.692826
## 174        2.772589   -10.317725     12.0          -1.625834   8.684401
## 175        2.995732   -13.205557     18.0          -1.724319   8.503094
## 176        2.639057   -15.523564     17.0          -1.671366   8.511175
## 177        2.708050   -16.780588     12.0          -1.647864   8.776476
## 178        2.174752   -20.111728      8.3          -1.724319   8.154788
## 179        2.995732   -12.721137     13.0          -1.671366   8.188689
## 180        2.995732   -16.545310     16.0          -1.653590   8.357024
## 181        2.219203   -18.863805     11.0          -1.478464   8.347590
## 182        2.833213   -18.863805     11.0          -1.710172   8.837826
## 183        2.639057   -17.860668      6.5          -1.653590   8.048788
## 184        2.944439   -15.709974     14.0          -1.590122   8.692826
## 185        2.833213   -15.904641     12.0          -1.585271   8.180321
## 186        2.772589   -18.506668     18.0          -1.724319   8.242756
## 189        2.833213   -18.173167     13.0          -1.653590   8.345218
## 190        2.944439   -15.008176     14.0          -1.647864   8.840725
## 191        2.890372   -17.028429      8.1          -1.647864   8.846497
## 192        3.295837   -16.108237     19.0          -1.441430   9.433484
## 193        3.332205   -16.545310     11.0          -1.671366   9.002085
## 194        2.833213   -15.523564      9.5          -1.647864   8.472196
## 195        3.295837   -16.545310     12.0          -1.751002   9.367344
## 197        3.178054   -11.075694     15.0          -1.780911   8.774931
## 198        2.708050   -17.290073      5.2          -1.518336   8.478452
## 200        3.295837   -15.523564     12.0          -1.653590   8.565983
## 201        2.772589   -14.696346     14.0          -1.605032   8.470102
## 202        2.639057   -19.662161     10.0          -1.710172   8.323608
## 205        3.258097   -18.173167     12.0          -1.751002   9.037177
## 208        3.044522   -15.344812     20.0          -1.571048   8.823206
## 210        3.135494   -11.698625     18.0          -1.780911   8.273847
## 212        2.890372   -18.173167     11.0          -1.780911   8.224164
## 213        3.044522   -15.173178     11.0          -1.590122   8.465900
## 214        2.708050   -17.290073      5.5          -1.459630   9.097172
## 215        2.772589   -16.545310     11.0          -1.653590   8.691146
## 216        2.484907   -15.523564     11.0          -1.647864   8.064636
## 218        2.995732   -13.642963     14.0          -1.543930   8.283999
## 219        2.564949   -18.173167     14.0          -1.671366   8.308938
## 220        2.772589   -19.247713     11.0          -1.671366   8.492900
## 223        2.944439   -15.904641     12.0          -1.605032   8.558335
## 224        2.772589   -18.173167     11.0          -1.710172   8.874868
## 225        3.044522   -18.173167     13.0          -1.653590   9.031214
## 226        2.944439   -16.321511     17.0          -1.647864   9.277999
## 227        3.044522   -14.006447      4.8          -1.780911   8.488794
## 228        2.484907   -18.863805     15.0          -1.653590   8.474286
## 229        2.484907   -17.566939     11.0          -1.780911   8.207947
## 230        2.708050   -13.103567      9.4          -1.871938   8.480529
## 231        2.944439   -14.406260     11.0          -1.590122   8.407378
## 232        2.944439   -12.813142     14.0          -1.571048   8.785692
## 233        2.564949   -15.904641      9.0          -1.751002   7.989560
## 234        2.890372   -13.310348      9.8          -1.448638   8.420682
## 236        2.772589   -18.863805      8.1          -1.724319   8.318742
## 237        2.995732   -16.108237     16.0          -1.724319   8.765615
## 239        1.960095   -20.602047     13.0          -1.605032   7.714231
## 240        2.564949   -14.548755     11.0          -1.557281   8.345218
## 241        2.890372   -16.108237     15.0          -1.780911   8.361708
## 242        3.044522   -14.006447     13.0          -1.518336   8.306472
## 243        2.564949   -14.696346      9.1          -1.625834   8.177516
## 244        2.772589   -17.028429     15.0          -1.671366   8.433812
## 245        1.871802   -20.602047     12.0          -1.571048   7.432484
## 246        2.833213   -15.173178     11.0          -1.710172   8.499029
## 247        2.484907   -19.247713     12.0          -1.751002   8.405144
## 249        3.178054   -15.904641     17.0          -1.724319   9.341369
## 250        2.772589   -16.321511     12.0          -1.518336   8.812843
## 251        2.708050   -17.566939     12.0          -1.625834   8.743532
## 253        2.890372   -14.406260     13.0          -1.724319   8.546752
## 254        3.295837   -15.904641     10.0          -1.710172   9.016756
## 255        3.091042   -14.135373     22.0          -1.671366   8.706159
## 256        2.708050   -19.662161     10.0          -1.724319   8.550628
## 257        2.484907   -20.602047     10.0          -1.625834   8.131531
## 258        2.772589   -16.545310     13.0          -1.590122   9.187072
## 260        2.995732   -15.709974     13.0          -1.830294   9.014325
## 261        2.397895   -20.111728     12.0          -1.647864   7.955074
## 262        2.564949   -17.566939      9.9          -1.571048   8.328451
## 263        3.178054   -12.458129     14.0          -1.830294   8.905173
## 264        3.178054   -13.310348     11.0          -1.724319   8.371011
## 265        2.995732   -14.849365     18.0          -1.830294   8.896999
## 267        3.496508   -14.849365     14.0          -1.751002   8.999619
## 268        2.944439   -12.458129     12.0          -1.571048   8.767173
## 269        2.639057   -18.173167      7.8          -1.653590   8.391630
## 270        2.708050   -14.696346     11.0          -1.647864   9.546813
## 271        2.944439   -13.760451     15.0          -1.571048   9.077951
## 272        2.833213   -14.006447     17.0          -1.647864   8.773385
## 273        3.135494   -14.135373     16.0          -1.647864   9.143132
## 274        2.890372   -15.173178      9.0          -1.647864   8.400659
## 275        3.044522   -14.268559     11.0          -1.780911   8.496990
## 277        2.772589   -13.642963      9.7          -1.696685   8.304000
## 278        2.890372   -14.548755      6.9          -1.710172   8.787220
## 279        2.833213   -16.545310     14.0          -1.780911   8.271293
## 281        2.995732   -16.780588     13.0          -1.631218   8.444622
## 282        2.995732   -16.545310     11.0          -1.518336   8.308938
## 283        3.401197   -13.418078     22.0          -1.571048   9.268609
## 287        2.944439   -17.860668     12.0          -1.683772   8.794825
## 289        2.484907   -18.506668     11.0          -1.605032   8.098643
## 290        2.397895   -18.863805     15.0          -1.590122   8.478452
## 291        2.708050   -13.760451     20.0          -1.871938   8.380227
## 292        3.295837   -15.709974     10.0          -1.710172   8.771835
## 294        2.639057   -17.566939      0.1          -1.557281   7.749322
## 297        2.944439   -18.506668      7.6          -1.671366   8.283999
## 298        2.708050   -18.506668     12.0          -1.751002   8.396155
## 299        3.044522   -14.006447     12.0          -1.780911   8.610684
## 301        2.639057   -17.860668      3.4          -1.671366   8.125631
## 302        2.230014   -17.860668      8.6          -1.653590   7.926603
## 303        2.772589   -15.709974     13.0          -1.830294   8.472196
## 304        2.995732   -17.290073     18.0          -1.780911   9.143132
## 305        3.401197   -14.548755     18.0          -1.647864   9.072227
## 306        2.833213   -14.406260     17.0          -1.653590   9.124782
## 307        3.044522   -14.696346     12.0          -1.710172   8.829080
## 308        3.091042   -11.435607     14.0          -1.653590   8.648221
## 311        2.639057   -16.780588      9.0          -1.724319   8.371011
## 312        3.044522   -15.173178     15.0          -1.724319   8.874868
## 313        2.890372   -17.028429      9.1          -1.571048   8.582981
## 314        2.833213   -18.173167     10.0          -1.518336   8.662159
## 315        3.044522   -12.292758     14.0          -1.710172   8.525161
## 316        2.833213   -14.696346     12.0          -1.590122   8.820256
## 317        2.995732   -18.173167      7.4          -1.751002   8.984694
## 320        2.833213   -13.881545      6.4          -1.459630   8.470102
## 321        2.397895   -16.321511      4.3          -1.590122   7.926603
## 322        3.332205   -14.548755     14.0          -1.724319   8.722580
## 323        2.995732   -13.103567      9.9          -1.830294   9.287301
## 324        2.890372   -15.709974      9.5          -1.780911   8.398410
## 325        2.995732   -13.642963     20.0          -1.571048   8.672486
## 326        2.772589   -17.860668     12.0          -1.518336   8.470102
## 327        3.135494   -11.133063      0.1          -1.871938   8.621553
## 329        3.091042   -17.028429      7.1          -1.868851   8.588583
## 330        2.639057   -12.543721     11.0          -1.780911   7.979339
## 331        2.564949   -16.780588     14.0          -1.605032   8.149024
## 332        2.833213   -12.458129     11.0          -1.571048   8.276395
## 333        3.465736   -14.696346      7.2          -1.647864   9.694000
##     Eotaxin_3         FAS Fas_Ligand Fatty_Acid_Binding_Protein  Ferritin
## 1          53 -0.08338161  3.1014922                 2.52087117 3.3291650
## 2          62 -0.52763274  2.9788133                 2.24779664 3.9329588
## 3          62 -0.63487827  1.3600098                 0.90630094 3.1768716
## 5          64 -0.12783337  4.0372847                 2.63458831 2.6904158
## 6          57 -0.32850407  2.4071818                 0.62373057 1.8470768
## 7          64 -0.71334989  3.1014922                 1.59753955 3.4405882
## 8          64 -0.71334989  1.8664764                 0.74349177 2.8166378
## 9          64 -0.82098055  3.5787773                 0.34805188 2.3817805
## 11         82 -0.02020271  3.9808937                 0.62373057 3.0596443
## 12         73 -0.71334989  2.6654557                 0.55980793 3.3291650
## 14         67 -0.44628710  3.8673473                 1.53020362 3.0199602
## 16         69 -0.41551544  3.5787773                 2.65289688 2.2426407
## 17         76 -0.02020271  2.4071818                 0.49280272 2.5607017
## 18         33 -0.82098055  2.7919923                 1.05291638 2.5607017
## 19         54 -0.47803580  3.2828922                 0.26936976 1.7416574
## 20         77 -0.63487827  1.0522633                 1.49546653 2.4271887
## 21         64 -0.07257069  4.4253224                 1.14329840 2.2426407
## 22         73 -0.30110509  0.3794001                 2.20192082 4.0663004
## 23         30 -0.86750057  2.8546530                 1.05291638 3.0596443
## 24         82 -0.07257069  3.6950395                 0.90630094 4.6332496
## 25         82 -0.57981850  2.4071818                 0.49280272 2.6475800
## 26         70 -0.16251893  3.1014922                 1.89864831 3.0199602
## 28         76 -0.49429632  3.1014922                 2.31450540 4.3245553
## 29         34 -1.04982212  1.8664764                 0.62373057 2.2895221
## 30         43 -0.96758403  4.3156075                 0.26936976 2.3817805
## 31         64 -0.82098055  3.8673473                 1.78455817 2.5166359
## 34         44 -0.82098055  3.4613463                 1.09877705 2.0496913
## 35         44 -0.82098055  2.9788133                 0.79981129 2.2426407
## 36         64 -0.49429632  3.8673473                 1.45997005 0.8982753
## 37         70 -0.28768207  2.6015565                 2.35766182 3.3291650
## 38         34 -0.82098055  3.5787773                 1.26963623 1.6331804
## 39         62 -0.44628710  2.0050277                 2.29253952 3.7271284
## 40         62 -0.63487827  2.8546530                 1.56421694 2.1952354
## 41         54 -0.52763274  2.6654557                 1.42367579 2.4721360
## 42         92 -0.61618614  4.9086293                 1.42367579 2.6475800
## 43         43 -0.57981850  4.0372847                 0.90630094 1.9496835
## 44         72 -0.63487827  4.2049870                 2.15484541 2.5607017
## 45         82 -0.05129329  2.4071818                 2.87633811 3.8991525
## 46         72 -0.44628710  1.3600098                 2.24779664 2.9396356
## 47         64 -0.75502258  2.5372201                 0.49280272 2.0000000
## 48         96 -0.30110509  3.2828922                 1.95297508 3.9329588
## 50         73 -0.44628710  7.6327510                 2.03141194 2.6904158
## 51         54 -0.65392647  1.7253811                 2.08182149 2.9396356
## 53         52 -0.52763274  3.1014922                 1.18656534 2.2426407
## 55         30 -0.63487827  2.2752257                 1.45997005 3.8651513
## 56         54 -0.71334989  4.4253224                 1.78455817 2.1472883
## 57         49 -0.11653382  1.5084870                 1.89864831 3.7619441
## 59         64 -0.71334989  4.6958484                 2.08182149 3.1380930
## 60         53 -0.82098055  3.1014922                -0.06149412 2.2895221
## 61         43 -0.71334989  3.1014922                 0.74349177 2.4271887
## 62         33 -1.10866262  2.7919923                -0.81662520 0.8982753
## 63         64 -0.37106368  3.5787773                 1.69366072 4.2928531
## 64         54 -0.44628710  2.9788133                 1.59753955 2.7328638
## 65         52 -0.73396918  1.6538133                 1.56421694 3.2915026
## 67         54 -0.44628710  3.5787773                 1.05291638 3.2535702
## 68         64 -0.08338161  2.2084887                 1.26963623 3.2153619
## 69         43 -0.96758403  3.4613463                 0.79981129 1.2863353
## 70         70 -0.44628710  3.2227633                 1.38654222 2.1952354
## 71         52 -0.52763274  2.2752257                 1.72450839 3.3291650
## 72         83  0.09531018  2.6654557                 2.31450540 2.0987803
## 73         83 -0.15082289  4.8026281                 2.31450540 3.4037024
## 74         53 -0.89159812  3.1014922                -0.41274719 2.2895221
## 75         83 -0.52763274  2.2752257                 1.30957344 2.0000000
## 76         54 -0.31471074  2.6654557                 2.92446596 3.4772256
## 77         44 -0.47803580  2.2084887                 2.03141194 4.6332496
## 78         70  0.33647224  4.1493268                 3.21875915 2.7328638
## 80         53 -0.52763274  4.5882647                 1.18656534 3.0990195
## 81         44 -0.71334989  2.3414512                 1.09877705 2.0496913
## 82         70 -0.57981850  3.1014922                 1.38654222 2.4721360
## 83         44 -0.26136476  3.6950395                 0.95678949 3.8309519
## 84         69 -0.94160854  3.2828922                 1.14329840 2.1952354
## 85         44 -0.31471074  3.2828922                 0.49280272 4.0991803
## 86         78 -0.31471074  3.8673473                 2.17853747 3.5497748
## 88         64 -0.24846136  4.9613454                 2.08182149 3.5136195
## 90         39 -0.71334989  1.5084870                -1.04412698 1.2249031
## 93         64 -0.47803580  2.2084887                 1.56421694 3.6568542
## 94         83  0.09531018  3.2828922                 3.70550563 3.2915026
## 95         43 -0.82098055  3.4613463                 0.55980793 3.5136195
## 96         70 -0.32850407  2.7919923                 1.09877705 3.2915026
## 97         70 -0.57981850  3.4021763                 1.72450839 2.8166378
## 98         33 -1.51412773  1.7962595                 0.42235886 2.0496913
## 99         83 -0.63487827  0.7271504                 2.39982883 3.0596443
## 100        39 -0.71334989  2.3414512                 1.45997005 3.0990195
## 103        93 -0.35667494  2.0050277                 3.21875915 3.2535702
## 104        44 -0.71334989  3.4021763                 1.56421694 3.6920998
## 105        52 -0.52763274  1.0522633                 1.66223369 3.7619441
## 107        48 -0.52763274  1.4346609                 1.87083027 2.6904158
## 108        64 -0.61618614  2.7919923                 1.38654222 3.5136195
## 109        41 -0.94160854  2.2752257                 0.68487244 2.6475800
## 110        38 -1.02165125  3.2828922                 0.79981129 2.6904158
## 111        64 -0.34249031  1.8664764                 1.63020224 3.9329588
## 112        59 -0.18632958  3.4613463                 2.86003086 2.9799598
## 113        70 -0.02020271  4.5341630                 1.95297508 3.7965507
## 114        70 -0.69314718  2.7919923                 0.34805188 1.1622777
## 115        64 -0.71334989  3.8673473                 0.49280272 2.3358967
## 117        64 -0.52763274  3.4613463                 1.75480019 2.3817805
## 118        95 -0.26136476  3.6950395                 2.52087117 3.4772256
## 121        64 -0.56211892  2.3414512                 2.54030520 3.3665631
## 123        69 -1.10866262  3.4613463                -0.01004024 0.6832816
## 124        44 -1.04982212  2.5372201                 0.26936976 2.5166359
## 126        59 -0.61618614  4.1493268                 1.42367579 1.7416574
## 128        44 -0.31471074  3.2828922                 0.55980793 2.3817805
## 129        54 -1.07880966  3.5787773                 0.00000000 2.5607017
## 130        57 -0.07257069  3.4021763                 1.26963623 2.9799598
## 131        52 -0.57981850  0.7271504                 1.30957344 2.5166359
## 132        64 -0.71334989  2.7919923                 1.69366072 2.7749346
## 133        82 -0.32850407  3.5202111                 1.05291638 3.5856960
## 134        70  0.18232156  3.4021763                 0.68487244 3.6213877
## 135        64 -0.57981850  3.1014922                 2.15484541 2.0496913
## 136        64 -1.04982212  1.1306711                 1.09877705 1.6878178
## 137        41 -0.73396918  2.1412227                 0.79981129 1.5777088
## 139        57 -0.49429632  1.7253811                 0.90630094 3.2153619
## 140        70 -0.26136476  3.9808937                 1.56421694 2.6475800
## 141        70 -0.22314355  3.9808937                 1.49546653 3.2915026
## 143        64 -0.82098055  3.7527477                 0.85402456 2.5166359
## 144        64 -0.32850407  3.6950395                 1.49546653 3.3291650
## 145        33 -0.96758403  2.4724332                 0.79981129 2.3817805
## 146        88 -0.18632958  1.7253811                 1.66223369 2.8989795
## 147        70 -0.32850407  3.9808937                 1.63020224 3.1380930
## 148        73 -0.30110509  2.5372201                 1.14329840 2.6043458
## 149        52 -0.52763274  1.6538133                 0.90630094 2.3358967
## 152       107  0.09531018  5.7312462                 2.46133172 4.1318839
## 153        95 -0.18632958  2.7919923                 1.42367579 3.0990195
## 154        62 -0.73396918  0.7271504                 1.38654222 3.0199602
## 155        59 -0.96758403  4.0372847                 1.22865470 2.7328638
## 156        67 -0.63487827  2.8546530                 1.81380304 3.3291650
## 157        85 -0.52763274  2.3414512                 2.17853747 2.6904158
## 158        62 -0.73396918  1.0522633                 1.14329840 2.9396356
## 159        23 -0.71334989  4.1493268                 0.62373057 1.1622777
## 160        62 -0.28768207  4.0934276                 2.13083532 3.7271284
## 161        64 -0.31471074  4.9086293                 0.09622438 2.3358967
## 162        49 -0.30110509  3.6950395                 2.13083532 3.2153619
## 163        34 -1.27296568  1.5084870                 0.62373057 2.6043458
## 165        57 -0.75502258  4.8026281                 2.33621055 2.9799598
## 166        64 -0.94160854  2.6654557                 0.95678949 2.8166378
## 167        64 -0.18632958  4.2049870                 2.10649743 3.4772256
## 168        46 -0.28768207  2.8546530                 1.38654222 2.7328638
## 169        70 -0.32850407  2.7919923                 0.95678949 1.7947332
## 170        82 -0.32850407  3.1014922                 0.68487244 3.3665631
## 171        54 -0.44628710  3.8673473                 1.53020362 2.5166359
## 172        43 -0.71334989  3.1014922                 0.79981129 2.8166378
## 174        54 -0.24846136  4.1493268                 1.26963623 3.4405882
## 175        70 -0.26136476  2.2752257                 2.54030520 2.7749346
## 176        64 -0.37106368  3.2828922                 0.95678949 2.1952354
## 177        44 -0.57981850  1.1306711                 2.03141194 2.9799598
## 178        34 -0.94160854  3.5787773                 0.26936976 0.6076810
## 179        70 -0.02020271  3.6950395                 0.09622438 1.8470768
## 180        82 -0.12783337  4.8026281                 1.89864831 2.8579831
## 181        29 -0.57981850  1.5084870                 1.00562217 2.0000000
## 182        64 -0.44628710  2.4724332                 0.42235886 3.2535702
## 183        64 -0.96758403  3.2828922                 1.14329840 1.0331502
## 184        70  0.00000000  2.4071818                 0.68487244 2.4271887
## 185        59 -0.31471074  2.6654557                 1.89864831 1.9496835
## 186        45 -0.26136476  0.5565448                 1.42367579 2.6475800
## 189        33 -0.57981850  2.7919923                 0.62373057 2.7328638
## 190        54 -0.38566248  2.2084887                 1.49546653 3.5497748
## 191        44 -0.57981850  2.5372201                 1.69366072 2.8989795
## 192        54 -0.22314355  4.7493371                 2.57858283 3.3665631
## 193        73 -0.52763274  4.1493268                 1.78455817 3.1380930
## 194        44 -0.71334989  2.2084887                 0.26936976 3.1380930
## 195        67 -0.28768207  3.3426940                 2.50123416 3.2153619
## 197        82 -0.26136476  3.4021763                 1.59753955 3.3665631
## 198        44 -1.04982212  3.1014922                 0.79981129 1.6878178
## 200        43 -0.96758403  4.0372847                 1.18656534 3.0990195
## 201        44 -0.34249031  0.8103017                 0.79981129 2.5607017
## 202        48 -0.96758403  2.4724332                 0.62373057 2.6043458
## 205        77 -0.63487827  3.8673473                 1.97951393 3.4772256
## 208        44 -0.57981850  2.2084887                 1.05291638 3.5136195
## 210        76 -0.18632958  4.9613454                 1.97951393 2.6043458
## 212        44 -0.94160854  2.3414512                 1.84255429 2.2426407
## 213        70 -0.12783337  3.1014922                 2.08182149 3.2153619
## 214        41 -0.35667494  0.2880017                 2.24779664 2.4271887
## 215        43 -0.44628710  3.1014922                 1.59753955 2.9799598
## 216        44 -0.47803580  2.5372201                 0.95678949 1.6331804
## 218        54 -0.26136476  3.6950395                -0.12621307 1.8987177
## 219        44 -1.07880966  2.3414512                 0.55980793 1.5777088
## 220        44 -0.71334989  2.0050277                 0.85402456 2.4271887
## 223        43 -0.61618614  2.7919923                 1.84255429 3.1768716
## 224        43 -0.96758403  2.1412227                 1.26963623 2.6475800
## 225        53 -0.37106368  4.0372847                 3.07697133 2.2895221
## 226        83 -0.15082289  2.2084887                 2.31450540 3.4405882
## 227        74 -0.44628710  4.5882647                 1.78455817 2.5166359
## 228        33 -0.96758403  3.7527477                 0.49280272 1.2863353
## 229        45 -0.57981850  2.4071818                 1.18656534 1.6878178
## 230        70 -0.02020271  2.7919923                 1.63020224 2.1952354
## 231        57 -0.26136476  3.4021763                 1.09877705 2.7328638
## 232        54 -0.86750057  0.8103017                 1.00562217 2.8989795
## 233        34 -1.04982212  1.5084870                 0.85402456 2.0987803
## 234        70 -0.40047757  2.4071818                 2.08182149 3.0199602
## 236        57 -0.40047757  3.4021763                -0.17134851 2.9396356
## 237        44 -0.61618614  2.6654557                 1.00562217 4.3245553
## 239        33 -0.96758403  2.4724332                 0.09622438 1.0331502
## 240        43 -0.96758403  3.7527477                 0.85402456 2.2895221
## 241        45 -0.40047757  3.4021763                 1.53020362 3.4405882
## 242        72 -0.67334455  2.8546530                 0.85402456 1.7416574
## 243        44 -0.82098055  2.3414512                 0.26936976 2.8579831
## 244        64 -0.71334989  2.3414512                 2.17853747 3.8991525
## 245        23 -0.47803580  1.5084870                -0.10425819 2.3817805
## 246        64 -0.49429632  2.4724332                 1.34852439 2.5166359
## 247        39 -0.65392647  3.4021763                 0.90630094 2.1952354
## 249        82 -0.05129329  3.4021763                 3.21875915 4.0332413
## 250        72 -0.52763274  1.8664764                 1.38654222 2.5607017
## 251        54 -1.07880966  2.2084887                 0.85402456 1.6331804
## 253        64 -0.52763274  2.8546530                 1.45997005 2.3358967
## 254        80 -0.03045921  5.7312462                 3.07697133 4.0332413
## 255        73 -0.52763274  2.9788133                 1.87083027 2.9396356
## 256        34 -1.07880966  2.0050277                 1.00562217 3.5136195
## 257        44 -0.82098055  3.2828922                -0.05103109 2.7749346
## 258        72 -0.35667494  2.5372201                 2.70679585 3.0596443
## 260        64 -0.30110509  2.2084887                 1.30957344 3.3665631
## 261         7 -1.07880966  4.1493268                 0.26936976 2.0496913
## 262        39 -0.86750057  3.4021763                 0.09622438 3.0596443
## 263        64 -0.30110509  2.2084887                 1.78455817 3.1380930
## 264        69 -0.52763274  3.5787773                 1.66223369 3.0596443
## 265        54 -0.57981850  2.3414512                 1.00562217 2.4271887
## 267        70 -0.02020271  3.9808937                 2.27030576 3.2535702
## 268        44 -0.57981850  4.2049870                 1.87083027 3.0990195
## 269        33 -0.71334989  2.4724332                 0.62373057 1.7416574
## 270        49 -0.22314355  3.9808937                 2.13083532 2.7749346
## 271        64 -0.30110509  3.2828922                 1.84255429 4.0000000
## 272        49 -0.57981850  2.2084887                 1.09877705 3.0199602
## 273        78 -0.22314355  3.4021763                 1.92602476 3.6568542
## 274        39 -0.47803580  2.5372201                 1.09877705 3.4037024
## 275        53 -0.61618614  2.1412227                 1.66223369 2.9396356
## 277        33 -0.32850407  3.4021763                 0.95678949 3.4405882
## 278        53 -0.96758403  4.5882647                 1.53020362 3.6568542
## 279        51 -0.40047757  2.0734090                 0.62373057 2.2426407
## 281        82 -0.07257069  3.4021763                 2.15484541 3.0990195
## 282        72 -0.52763274  0.2880017                 1.72450839 2.2426407
## 283        92 -0.38566248  4.2049870                 1.87083027 4.6332496
## 287        52 -0.63487827  1.6538133                 1.45997005 3.1380930
## 289        33 -0.96758403  4.5882647                 0.42235886 2.3358967
## 290        46 -0.63487827  0.2880017                 1.34852439 1.7947332
## 291        57  0.00000000  2.4071818                 1.59753955 3.3291650
## 292        74 -0.37106368  4.0372847                 2.00565516 3.8309519
## 294        43 -0.82098055  2.4724332                 0.42235886 1.7947332
## 297        54 -0.94160854  2.9788133                 0.74349177 2.3817805
## 298        62 -0.94160854  1.3600098                 1.22865470 1.7416574
## 299        82 -0.40047757  3.9808937                 2.24779664 2.7328638
## 301        54 -0.94160854  4.9086293                 0.79981129 1.6878178
## 302        33 -0.96758403  2.7919923                -0.06149412 1.4641016
## 303        54 -0.38566248  2.2084887                 1.09877705 3.0596443
## 304        59 -0.31471074  3.2828922                 2.74190799 2.3817805
## 305        73 -0.30110509  3.1014922                 0.55980793 4.1644140
## 306        74 -0.24846136  3.1014922                 2.10649743 1.4058773
## 307        64 -0.37106368  4.5882647                 2.75922787 4.6332496
## 308        33 -0.96758403  4.0372847                 1.69366072 2.8166378
## 311        54 -0.71334989  3.5787773                 0.68487244 2.7328638
## 312        64 -0.52763274  2.6654557                 2.13083532 3.8309519
## 313        54 -0.71334989  2.2084887                 1.49546653 2.3358967
## 314        44 -0.38566248  3.1014922                 1.05291638 2.0987803
## 315        48 -0.61618614  3.7527477                 0.68487244 2.6475800
## 316        41 -0.57981850  0.2880017                 1.69366072 3.2153619
## 317        62 -0.52763274  2.8546530                 1.78455817 2.8166378
## 320        62 -0.44628710  3.6370513                 0.26936976 2.3358967
## 321        52 -0.86750057  1.3600098                 0.55980793 1.7947332
## 322        64 -0.41551544  4.9086293                 1.00562217 3.2915026
## 323        54 -0.15082289  2.8546530                 1.53020362 3.0199602
## 324        43 -0.71334989  4.0372847                 1.26963623 2.5166359
## 325        54 -0.47803580  2.5372201                 1.18656534 2.1952354
## 326        44 -0.71334989  3.6950395                 1.78455817 1.8987177
## 327        82 -0.02020271  2.7919923                 1.95297508 3.5136195
## 329        44 -0.61618614  3.5787773                 1.53020362 2.0496913
## 330        70 -0.26136476  2.7919923                 0.90630094 2.0000000
## 331        49 -0.71334989 -0.1536154                 0.55980793 1.6331804
## 332        54 -0.57981850  3.1014922                -0.38485910 2.4271887
## 333        69 -0.08338161  3.6950395                 2.33621055 3.0596443
##      Fetuin_A Fibrinogen GRO_alpha Gamma_Interferon_induced_Monokin    HB_EGF
## 1   1.2809338  -7.035589  1.381830                         2.949822  6.559746
## 2   1.1939225  -8.047190  1.372438                         2.721793  8.754531
## 3   1.4109870  -7.195437  1.412679                         2.762231  7.745463
## 5   2.1517622  -6.980326  1.398431                         2.851987  7.245150
## 6   1.4816045  -6.437752  1.398431                         2.822442  6.413012
## 7   1.1314021  -7.621105  1.338425                         2.739315  6.262563
## 8   1.6677068  -6.502290  1.350892                         2.966101  6.559746
## 9   1.0647107  -7.902008  1.381830                         2.584357  9.736307
## 11  1.4350845  -7.523941  1.412679                         2.701785  8.542148
## 12  1.4109870  -7.278819  1.398431                         2.769220  6.108135
## 14  1.3862944  -6.991137  1.440955                         2.924402  7.745463
## 16  1.4816045  -7.222466  1.412679                         2.911527  8.754531
## 17  1.7578579  -6.319969  1.419083                         2.845167  6.413012
## 18  0.8754687  -7.402052  1.324552                         2.956388  5.264609
## 19  1.3350011  -6.959049  1.405814                         3.019718  4.254800
## 20  1.5260563  -5.843045  1.430692                         2.708297  6.262563
## 21  1.3350011  -7.182192  1.398431                         2.929867  7.373808
## 22  0.8754687  -7.385791  1.405814                         2.724975  9.454406
## 23  1.0986123  -7.641724  1.338425                         2.568127  6.979888
## 24  1.1631508  -7.600902  1.372438                         2.614139  7.500000
## 25  1.0986123  -7.435388  1.308996                         2.667835  5.949436
## 26  1.0986123  -7.452482  1.381830                         2.788951  9.358191
## 28  1.3083328  -7.323271  1.350892                         2.680311  7.245150
## 29  1.0986123  -7.875339  1.338425                         2.713850  6.262563
## 30  0.9162907  -7.875339  1.398431                         2.766469  3.779716
## 31  1.5040774  -6.645391  1.381830                         2.790112  4.474569
## 34  1.5686159  -6.969631  1.458333                         2.883453  5.264609
## 35  1.7749524  -7.236259  1.362172                         2.802914  7.982407
## 36  1.8562980  -6.571283  1.445658                         2.848747  6.842982
## 37  1.0986123  -7.505592  1.398431                         2.786199  7.982407
## 38  1.0296194  -7.561682  1.398431                         2.919789  6.413012
## 39  0.9932518  -8.111728  1.291400                         2.620513  6.979888
## 40  1.4350845  -7.824046  1.430692                         2.876049  5.949436
## 41  2.0541237  -6.377127  1.398431                         2.825646  8.211578
## 42  1.3609766  -7.487574  1.398431                         2.603403  7.982407
## 43  1.3083328  -7.143478  1.362172                         2.927719  5.444179
## 44  1.4816045  -6.812445  1.362172                         2.908388  7.864950
## 45  1.6486586  -6.571283  1.425073                         2.792403  9.260790
## 46  0.6418539  -8.180721  1.372438                         2.762231  8.542148
## 47  1.4109870  -7.505592  1.405814                         2.757357  6.413012
## 48  0.7884574  -8.111728  1.405814                         2.879640  6.559746
## 50  1.2237754  -7.354042  1.435976                         2.787386  9.454406
## 51  1.2809338  -7.278819  1.338425                         2.829324  7.113891
## 53  1.2809338  -6.907755  1.390462                         2.848276  7.245150
## 55  1.1314021  -7.641724  1.372438                         2.637144  8.649098
## 56  1.8405496  -7.208860  1.390462                         2.852215  7.500000
## 57  1.2527630  -7.264430  1.338425                         2.864362  5.617858
## 59  1.6094379  -7.082109  1.430692                         2.974175  7.982407
## 60  0.9932518  -6.812445  1.381830                         2.936028  4.474569
## 61  1.2237754  -7.013116  1.362172                         2.742679  4.885442
## 62  0.9555114  -7.662778  1.324552                         2.684529  5.949436
## 63  1.3350011  -7.250246  1.390462                         2.726228  6.262563
## 64  1.8870696  -7.195437  1.430692                         3.065368  7.113891
## 65  0.4700036  -8.254829  1.372438                         2.632564  7.864950
## 67  1.0296194  -7.523941  1.390462                         2.674201  7.113891
## 68  1.5040774  -7.278819  1.308996                         2.713850  5.786135
## 69  1.3609766  -7.957577  1.308996                         2.732330  4.474569
## 70  0.9162907  -7.957577  1.381830                         2.809013  7.745463
## 71  1.4816045  -7.505592  1.350892                         2.780093  6.559746
## 72  1.9169226  -6.505132  1.372438                         2.928799  9.162164
## 73  1.3609766  -7.354042  1.338425                         2.939917  7.745463
## 74  1.5260563  -7.143478  1.362172                         2.916177  3.272102
## 75  1.7227666  -6.437752  1.430692                         2.939917  6.413012
## 76  1.4586150  -7.130899  1.430692                         2.818539  9.454406
## 77  1.4109870  -6.319969  1.462144                         2.946345  5.786135
## 78  1.4816045  -6.502290  1.445658                         2.943646  7.745463
## 80  1.2237754  -6.917806  1.338425                         2.735867  6.413012
## 81  1.3350011  -7.902008  1.419083                         2.760303  7.982407
## 82  1.3350011  -7.338538  1.350892                         2.757852  6.413012
## 83  1.4586150  -8.804875  1.372438                         2.668760  6.702998
## 84  1.4816045  -7.250246  1.435976                         2.774554  6.979888
## 85  1.7917595  -7.182192  1.362172                         2.851530  7.373808
## 86  2.1162555  -6.214608  1.435976                         2.851530  8.323453
## 88  1.4816045  -6.917806  1.430692                         2.909446  5.444179
## 90  0.5877867  -8.873868  1.350892                         2.668760  2.103023
## 93  1.4350845  -6.959049  1.372438                         2.881737  6.979888
## 94  2.1860513  -6.502290  1.475713                         3.032417  9.828139
## 95  1.2809338  -7.469874  1.405814                         2.868085  6.108135
## 96  0.8329091  -7.986565  1.381830                         2.827923  9.736307
## 97  0.9555114  -7.875339  1.381830                         2.778414  8.649098
## 98  1.0296194  -8.468403  1.324552                         2.694967  4.684412
## 99  1.0647107  -6.812445  1.405814                         2.873869  6.413012
## 100 1.3609766  -7.751725  1.362172                         2.722435  8.433621
## 103 1.3083328  -7.799353  1.405814                         2.876049  8.097921
## 104 1.1939225  -7.323271  1.372438                         2.705439  7.745463
## 105 1.1314021  -7.706263  1.372438                         2.579644  7.745463
## 107 1.2237754  -7.208860  1.398431                         2.752296  6.842982
## 108 2.0014800  -7.070274  1.338425                         2.832888  5.949436
## 109 0.6418539  -8.517193  1.350892                         2.646995  6.842982
## 110 0.7419373  -8.334872  1.435976                         2.750740  5.264609
## 111 1.1314021  -7.293418  1.350892                         2.636011  5.786135
## 112 1.8870696  -6.214608  1.425073                         2.893035  5.617858
## 113 2.1041342  -5.991465  1.390462                         2.875131  8.542148
## 114 1.0647107  -7.035589  1.381830                         2.694190  5.786135
## 115 1.8870696  -6.437752  1.450108                         2.845409  5.949436
## 117 1.2527630  -7.452482  1.398431                         2.806678  6.559746
## 118 1.2237754  -7.452482  1.435976                         2.968193  7.745463
## 121 1.7227666  -7.250246  1.398431                         3.000719  8.097921
## 123 0.9162907  -8.334872  1.350892                         2.706159  4.885442
## 124 1.7404662  -7.182192  1.338425                         2.872708  5.264609
## 126 1.1631508  -7.195437  1.381830                         2.715877  6.842982
## 128 1.9878743  -6.725434  1.454327                         2.763185  8.323453
## 129 1.2527630  -7.600902  1.338425                         2.690241  6.559746
## 130 1.6292405  -6.571283  1.372438                         2.901221  9.260790
## 131 1.1314021  -7.418581  1.372438                         2.532501  6.979888
## 132 1.5892352  -7.143478  1.362172                         2.766469  6.559746
## 133 1.8082888  -5.914504  1.271288                         2.786199  8.323453
## 134 1.6094379  -6.812445  1.398431                         2.791263  9.454406
## 135 1.5686159  -7.250246  1.308996                         2.893035  4.684412
## 136 1.2809338  -6.907755  1.412679                         2.905282  7.745463
## 137 0.9555114  -7.902008  1.381830                         2.568127  7.373808
## 139 1.0647107  -7.662778  1.338425                         2.665023  6.842982
## 140 1.2809338  -7.250246  1.398431                         2.860121  6.702998
## 141 1.7227666  -6.437752  1.419083                         2.604783  8.961066
## 143 1.2527630  -7.561682  1.350892                         2.767852  4.684412
## 144 1.2809338  -7.070274  1.372438                         2.911270  5.264609
## 145 1.0647107  -8.180721  1.350892                         2.674201  5.617858
## 146 1.8718022  -6.725434  1.381830                         2.950670  5.444179
## 147 1.4816045  -7.024289  1.412679                         2.858842  4.254800
## 148 2.0281482  -6.907755  1.425073                         2.908918  4.023747
## 149 0.9162907  -7.875339  1.381830                         2.790112  5.786135
## 152 1.8245493  -6.571283  1.494568                         2.984412  7.113891
## 153 1.9459101  -8.111728  1.372438                         2.731131  7.982407
## 154 0.7419373  -7.542634  1.308996                         2.579644  6.413012
## 155 1.1939225  -7.986565  1.372438                         2.691833  5.078583
## 156 1.6486586  -6.991137  1.390462                         2.926626  6.559746
## 157 0.8754687  -7.957577  1.324552                         2.903482  6.413012
## 158 1.0647107  -7.799353  1.350892                         2.557619  6.702998
## 159 0.9555114  -6.917806  1.450108                         2.845892  7.623847
## 160 1.0647107  -7.452482  1.350892                         2.769220  5.786135
## 161 1.5892352  -7.706263  1.419083                         2.843211 10.528568
## 162 0.6931472  -7.751725  1.405814                         2.875866  6.559746
## 163 0.8754687  -7.561682  1.390462                         2.678590  5.786135
## 165 0.9555114  -7.402052  1.390462                         2.788951  6.413012
## 166 0.9555114  -7.728736  1.350892                         2.662160  7.373808
## 167 0.9162907  -7.875339  1.372438                         2.843948  9.062271
## 168 1.3609766  -7.418581  1.350892                         2.681164  8.097921
## 169 1.2527630  -7.182192  1.324552                         2.824491  4.023747
## 170 1.5475625  -7.013116  1.372438                         2.881391  5.444179
## 171 1.8405496  -7.323271  1.381830                         2.823909  9.549474
## 172 1.2809338  -7.323271  1.381830                         2.694967  6.262563
## 174 2.1400662  -8.421883  1.412679                         2.886307  8.649098
## 175 1.6094379  -5.914504  1.435976                         2.786199  6.979888
## 176 1.4350845  -8.873868  1.419083                         2.823031  6.262563
## 177 1.1314021  -8.016418  1.338425                         2.760303  6.108135
## 178 1.0986123  -7.799353  1.412679                         2.704715  6.108135
## 179 2.1633230  -7.323271  1.398431                         2.891000  7.982407
## 180 1.2527630  -7.369791  1.398431                         3.008161  7.245150
## 181 1.0647107  -8.254829  1.291400                         2.596327  6.979888
## 182 0.9555114  -7.435388  1.324552                         2.773241  5.444179
## 183 1.7227666  -6.645391  1.372438                         2.823325  4.474569
## 184 1.0986123  -7.561682  1.372438                         2.654255  8.542148
## 185 1.8562980  -6.812445  1.435976                         2.771914  8.323453
## 186 1.2527630  -7.208860  1.308996                         2.701785  8.323453
## 189 0.5306283  -7.487574  1.338425                         2.777140  5.078583
## 190 1.1631508  -7.293418  1.291400                         2.839703  6.108135
## 191 1.2809338  -7.338538  1.308996                         2.715205  6.702998
## 192 1.4586150  -7.684284  1.425073                         2.845409  8.097921
## 193 1.4350845  -7.278819  1.405814                         2.852896  9.260790
## 194 1.5686159  -7.469874  1.308996                         2.771023  5.786135
## 195 1.2237754  -7.523941  1.412679                         2.708297  7.745463
## 197 1.5040774  -7.118476  1.405814                         2.815134  8.097921
## 198 1.1631508  -7.418581  1.350892                         2.743782  3.779716
## 200 0.9555114  -7.662778  1.372438                         2.735867  6.559746
## 201 1.3609766  -7.561682  1.381830                         2.785402  7.745463
## 202 0.8754687  -8.294050  1.308996                         2.712482  4.023747
## 205 1.2809338  -7.487574  1.390462                         2.557619  6.979888
## 208 1.9600948  -6.948577  1.291400                         2.824491  8.649098
## 210 1.3350011  -7.106206  1.398431                         2.919789  9.454406
## 212 1.3350011  -7.621105  1.390462                         2.700297  6.262563
## 213 1.6486586  -6.812445  1.405814                         2.754850  8.323453
## 214 1.4109870  -7.013116  1.462144                         2.874020  5.949436
## 215 0.7884574  -7.824046  1.324552                         2.656269  6.108135
## 216 1.5686159  -6.119298  1.425073                         2.752811  7.245150
## 218 1.7227666  -6.571283  1.398431                         2.890046  6.413012
## 219 1.2809338  -7.684284  1.412679                         2.687819  6.842982
## 220 0.9555114  -7.849364  1.390462                         2.594876  7.623847
## 223 1.7578579  -6.917806  1.338425                         2.710405  5.949436
## 224 1.2527630  -7.264430  1.308996                         2.735867  5.786135
## 225 0.8754687  -7.418581  1.372438                         2.744330  6.108135
## 226 1.2237754  -7.024289  1.398431                         2.768310  5.078583
## 227 2.2512918  -6.214608  1.398431                         2.763659  5.264609
## 228 0.7419373  -7.070274  1.362172                         2.653238  5.617858
## 229 1.3350011  -7.621105  1.381830                         2.665023  6.559746
## 230 1.5260563  -7.293418  1.390462                         2.963228  6.413012
## 231 1.1939225  -6.907755  1.381830                         2.767393 10.695079
## 232 1.5040774  -7.143478  1.362172                         2.697275  7.623847
## 233 1.2237754  -7.469874  1.398431                         2.771023  5.444179
## 234 1.4586150  -7.250246  1.271288                         2.715877  7.500000
## 236 0.9932518  -7.621105  1.324552                         2.767393  7.745463
## 237 2.0281482  -7.182192  1.390462                         2.763185  6.262563
## 239 0.6418539  -8.217089  1.271288                         2.875683  4.684412
## 240 0.9162907  -8.145630  1.324552                         2.791263  5.444179
## 241 1.7578579  -8.047190  1.338425                         2.724975  7.245150
## 242 1.9399676  -7.600902  1.372438                         2.654255  6.413012
## 243 1.6292405  -6.938214  1.362172                         2.665966  6.262563
## 244 1.3862944  -7.799353  1.435976                         2.783386  8.211578
## 245 0.7419373  -8.740337  1.390462                         2.692623  5.617858
## 246 1.9459101  -7.208860  1.362172                         2.883623  4.885442
## 247 0.6931472  -8.180721  1.398431                         2.792403  5.444179
## 249 1.0296194  -7.581100  1.398431                         2.665023  7.500000
## 250 1.3083328  -7.600902  1.381830                         2.870614  6.108135
## 251 1.1631508  -7.775256  1.362172                         2.737602  6.559746
## 253 1.5260563  -6.502290  1.405814                         3.008576  7.113891
## 254 1.9315214  -7.250246  1.398431                         3.011822  7.500000
## 255 1.6094379  -8.740337  1.405814                         2.769220  8.961066
## 256 0.7884574  -8.334872  1.324552                         2.393337  7.373808
## 257 0.9162907  -7.775256  1.362172                         2.584357  6.702998
## 258 1.7578579  -6.948577  1.390462                         2.906102  7.500000
## 260 1.5686159  -6.938214  1.440955                         2.822737  7.500000
## 261 0.9555114  -8.111728  1.398431                         2.695741  8.649098
## 262 1.2527630  -7.308233  1.390462                         2.530419  6.108135
## 263 1.7227666  -7.561682  1.372438                         2.807684 10.444102
## 264 1.9315214  -6.502290  1.350892                         2.763185  5.264609
## 265 1.3609766  -7.775256  1.350892                         2.611519  5.949436
## 267 1.3609766  -7.047017  1.390462                         3.009810  8.097921
## 268 1.4109870  -7.600902  1.362172                         2.906780  7.500000
## 269 0.9162907  -7.875339  1.324552                         2.524026  5.078583
## 270 0.9932518  -7.662778  1.440955                         2.735284  8.097921
## 271 1.5686159  -6.959049  1.398431                         2.910232  8.157135
## 272 1.6094379  -7.824046  1.350892                         2.735284  6.413012
## 273 1.2237754  -7.222466  1.350892                         2.842468  6.702998
## 274 1.2237754  -7.505592  1.398431                         2.785402  8.433621
## 275 1.6292405  -8.047190  1.338425                         2.825933  6.262563
## 277 1.7227666  -6.725434  1.405814                         2.943646  7.500000
## 278 1.0647107  -6.725434  1.324552                         2.937016  4.474569
## 279 1.2527630  -7.706263  1.381830                         2.788951  7.245150
## 281 1.2809338  -6.571283  1.398431                         2.875131 10.185606
## 282 1.6094379  -8.740337  1.419083                         2.900935  3.067147
## 283 1.6094379  -6.725434  1.435976                         2.953166  6.559746
## 287 1.0647107  -7.775256  1.372438                         2.666903  7.373808
## 289 1.0296194  -7.542634  1.338425                         2.786596  4.254800
## 290 0.8329091  -7.824046  1.445658                         2.701785  5.786135
## 291 1.2809338  -7.058578  1.475713                         2.839193  7.982407
## 292 1.6292405  -7.236259  1.350892                         2.848747  7.113891
## 294 1.2237754  -7.662778  1.308996                         2.627850  4.254800
## 297 1.2237754  -8.016418  1.350892                         2.751261  6.413012
## 298 1.4350845  -7.082109  1.291400                         2.657266  5.444179
## 299 1.1314021  -7.581100  1.372438                         2.788951  8.542148
## 301 1.1314021  -8.047190  1.362172                         2.620513  7.864950
## 302 1.2527630  -7.469874  1.271288                         2.584357  3.678009
## 303 1.6677068  -7.156217  1.308996                         2.760303  6.413012
## 304 0.9555114  -7.728736  1.445658                         2.700297  9.643429
## 305 1.2809338  -6.980326  1.390462                         2.905965  8.858503
## 306 1.8082888  -7.106206  1.412679                         2.732330  5.949436
## 307 1.9315214  -5.914504  1.372438                         2.945455  5.617858
## 308 1.6677068  -6.725434  1.381830                         2.781750  6.262563
## 311 1.5040774  -7.600902  1.412679                         2.854245  8.211578
## 312 1.5040774  -7.293418  1.390462                         2.810980 10.185606
## 313 1.4586150  -7.505592  1.440955                         2.800812  7.864950
## 314 0.8754687  -8.334872  1.324552                         2.568127  7.623847
## 315 1.8245493  -7.024289  1.372438                         2.846133  4.474569
## 316 1.1631508  -7.799353  1.338425                         2.603403  7.500000
## 317 1.1631508  -7.581100  1.350892                         2.766469  5.078583
## 320 1.9740810  -6.725434  1.308996                         2.666903  7.500000
## 321 1.9600948  -7.728736  1.324552                         2.738746  4.474569
## 322 1.8562980  -6.377127  1.398431                         2.863047  9.549474
## 323 1.2809338  -7.195437  1.338425                         2.913692  5.444179
## 324 0.4700036  -8.468403  1.271288                         2.847566  5.786135
## 325 1.7749524  -6.907755  1.398431                         3.006900  5.444179
## 326 0.7419373  -7.986565  1.398431                         2.864685  5.444179
## 327 1.3609766  -7.293418  1.398431                         2.897137  7.113891
## 329 1.1314021  -7.775256  1.405814                         2.749166  8.323453
## 330 2.1972246  -6.571283  1.381830                         2.713850  5.949436
## 331 1.0296194  -7.236259  1.372438                         2.678590  5.786135
## 332 1.3609766  -7.024289  1.362172                         2.748106  5.786135
## 333 1.5475625  -7.236259  1.350892                         2.862841  6.108135
##         HCC_4 Hepatocyte_Growth_Factor_HGF IGF_BP_2      IL_7     IL_8
## 1   -3.036554                   0.58778666 5.609472 4.8050453 1.711325
## 2   -4.074542                   0.53062825 5.347108 3.7055056 1.675557
## 3   -3.649659                   0.09531018 5.181784 1.0056222 1.691393
## 5   -3.146555                   0.53062825 5.420535 4.2875620 1.764298
## 6   -3.079114                   0.09531018 5.056246 2.7763945 1.708270
## 7   -3.506558                   0.40546511 5.438079 4.0099156 1.698489
## 8   -3.079114                   0.18232156 5.365976 3.7055056 1.701858
## 9   -4.135167                  -0.16251893 5.273000 0.6848724 1.691393
## 11  -3.540459                   0.40546511 5.505332 2.9244660 1.719944
## 12  -2.918771                   0.09531018 5.081404 2.9244660 1.675557
## 14  -3.816713                   0.53062825 5.209486 1.0056222 1.760954
## 16  -3.575551                   0.18232156 5.375278 1.2696362 1.705116
## 17  -3.816713                   0.18232156 5.455321 2.5785828 1.760954
## 18  -4.135167                  -0.24846136 5.087596 2.7592279 1.573599
## 19  -3.057608                  -0.19845094 5.379897 1.3095734 1.719944
## 20  -3.772261                   0.09531018 5.513429 2.7934108 1.750000
## 21  -3.437118                   0.09531018 5.361292 0.5598079 1.701858
## 22  -3.863233                   0.74193734 5.141664 3.5938596 1.764298
## 23  -3.816713                  -0.07257069 4.955827 2.1548454 1.675557
## 24  -3.411248                   0.69314718 5.472271 3.2187591 1.695003
## 25  -3.611918                   0.09531018 5.187386 1.5642169 1.657003
## 26  -3.473768                   0.33647224 5.257495 1.5642169 1.679744
## 28  -3.688879                   0.33647224 5.438079 2.1548454 1.671202
## 29  -3.816713                  -0.10536052 4.997212 2.7763945 1.675557
## 30  -4.074542                  -0.24846136 5.147494 3.2187591 1.679744
## 31  -3.194183                   0.09531018 5.513429 3.2187591 1.772079
## 34  -3.381395                   0.33647224 5.273000 0.6848724 1.757464
## 35  -3.218876                  -0.19845094 4.836282 4.3608562 1.646447
## 36  -3.688879                   0.18232156 5.598422 4.3608562 1.717157
## 37  -3.411248                   0.47000363 5.351858 1.5642169 1.701858
## 38  -3.611918                   0.18232156 5.141664 2.0567968 1.739622
## 39  -4.017384                   0.64185389 5.252273 3.9130123 1.657003
## 40  -4.017384                   0.09531018 5.407172 1.8425543 1.730320
## 41  -3.270169                   0.00000000 5.327876 3.9130123 1.717157
## 42  -3.863233                   0.09531018 5.420535 2.1548454 1.711325
## 43  -3.352407                   0.18232156 5.198497 3.2187591 1.698489
## 44  -3.649659                   0.26236426 5.420535 3.8117017 1.760954
## 45  -3.170086                   0.33647224 5.645447 3.2187591 1.725279
## 46  -3.575551                   0.47000363 5.267858 1.8425543 1.727834
## 47  -3.506558                  -0.31471074 5.351858 2.1548454 1.679744
## 48  -3.381395                   0.64185389 5.700444 3.9130123 1.701858
## 50  -3.863233                   0.26236426 5.262690 2.9244660 1.725279
## 51  -3.963316                  -0.01005034 5.398163 2.3362105 1.661938
## 53  -3.649659                   0.47000363 5.278115 3.4760910 1.708270
## 55  -3.863233                   0.33647224 5.030438 2.7934108 1.730320
## 56  -3.816713                  -0.17435339 5.262690 2.0567968 1.683772
## 57  -3.123566                   0.40546511 5.641907 3.7055056 1.714286
## 59  -3.611918                   0.18232156 5.616771 1.6936607 1.735094
## 60  -3.575551                  -0.17435339 5.438079 2.1548454 1.705116
## 61  -4.074542                  -0.07257069 5.192957 2.0567968 1.687652
## 62  -3.772261                  -0.32850407 5.123964 5.1219873 1.695003
## 63  -3.442019                   0.09531018 5.283204 2.1548454 1.683772
## 64  -3.146555                   0.26236426 5.370638 1.2696362 1.711325
## 65  -4.135167                   0.18232156 5.164786 1.8425543 1.714286
## 67  -3.688879                   0.58778666 5.356586 1.2696362 1.675557
## 68  -3.218876                   0.33647224 5.429346 2.7763945 1.695003
## 69  -3.863233                  -0.43078292 5.141664 2.1548454 1.683772
## 70  -4.074542                   0.18232156 5.594711 2.5785828 1.691393
## 71  -3.296837                   0.09531018 5.068904 1.0056222 1.714286
## 72  -3.270169                   0.87546874 5.780744 4.2780037 1.746000
## 73  -3.352407                   0.47000363 5.509388 2.3788658 1.691393
## 74  -3.442019                  -0.19845094 5.241747 3.5938596 1.708270
## 75  -3.729701                   0.40546511 5.337538 3.7055056 1.762644
## 76  -3.352407                   0.69314718 5.549076 1.2696362 1.732739
## 77  -3.270169                   0.58778666 5.129899 3.4760910 1.722650
## 78  -2.733368                   0.64185389 5.624018 3.4760910 1.779137
## 80  -3.473768                   0.09531018 5.204007 3.9130123 1.687652
## 81  -3.729701                  -0.02020271 5.111988 2.9244660 1.705116
## 82  -3.863233                   0.33647224 5.521461 2.5785828 1.717157
## 83  -3.146555                   0.26236426 4.905275 3.5938596 1.727834
## 84  -3.540459                   0.26236426 5.043425 2.1548454 1.683772
## 85  -3.296837                   0.47000363 5.370638 4.0099156 1.725279
## 86  -2.207275                   0.47000363 5.590987 4.3608562 1.760954
## 88  -3.146555                   0.40546511 5.501258 2.1548454 1.751931
## 90  -2.995732                  -0.63487827 4.634729 1.7245084 1.651845
## 93  -3.270169                   0.09531018 5.497168 3.0769713 1.735094
## 94  -3.123566                   0.64185389 5.948035 4.1028210 1.794804
## 95  -3.912023                   0.26236426 5.327876 3.7055056 1.705116
## 96  -3.270169                   0.47000363 5.509388 2.5785828 1.695003
## 97  -3.575551                   0.33647224 5.356586 2.1548454 1.695003
## 98  -4.074542                  -0.37106368 5.075174 2.7592279 1.634852
## 99  -3.816713                   0.47000363 5.370638 3.0769713 1.767505
## 100 -3.729701                   0.26236426 5.187386 2.3362105 1.666667
## 103 -3.649659                   0.64185389 5.641907 3.9130123 1.725279
## 104 -4.509860                   0.09531018 5.159055 3.7055056 1.719944
## 105 -4.074542                   0.47000363 5.231109 3.4760910 1.725279
## 107 -3.772261                   0.26236426 5.214936 3.2187591 1.737387
## 108 -3.123566                   0.18232156 5.579730 3.9130123 1.711325
## 109 -3.912023                  -0.04082199 5.003946 2.1548454 1.661938
## 110 -4.017384                  -0.16251893 5.062595 2.1548454 1.687652
## 111 -3.649659                   0.18232156 5.347108 3.5938596 1.714286
## 112 -2.813411                   0.53062825 5.609472 5.3496753 1.737387
## 113 -3.079114                   0.47000363 5.398163 3.9130123 1.725279
## 114 -3.381395                  -0.32850407 5.081404 2.5785828 1.711325
## 115 -3.381395                   0.09531018 5.420535 2.1548454 1.714286
## 117 -4.135167                   0.40546511 5.293305 3.4760910 1.711325
## 118 -3.352407                   0.64185389 5.616771 2.9244660 1.730320
## 121 -3.575551                   0.40546511 5.420535 1.2696362 1.711325
## 123 -3.611918                  -0.44628710 5.407172 2.1548454 1.657003
## 124 -2.995732                  -0.04082199 5.402677 3.4760910 1.651845
## 126 -4.017384                   0.00000000 5.135798 1.2696362 1.705116
## 128 -3.324236                   0.53062825 5.303305 2.9244660 1.773545
## 129 -3.575551                  -0.18632958 5.257495 1.6936607 1.651845
## 130 -3.352407                   0.26236426 5.433722 0.5598079 1.687652
## 131 -3.688879                   0.09531018 4.969813 3.4760910 1.691393
## 132 -3.575551                   0.09531018 5.375278 2.0567968 1.717157
## 133 -3.170086                   0.26236426 5.620401 3.4760910 1.671202
## 134 -3.015935                   0.87546874 5.521461 2.9244660 1.735094
## 135 -3.649659                   0.00000000 5.455321 2.1548454 1.646447
## 136 -4.135167                  -0.15082289 5.451038 3.7055056 1.698489
## 137 -3.057608                  -0.18632958 5.159055 2.3788658 1.661938
## 139 -3.473768                   0.09531018 5.153292 0.5598079 1.646447
## 140 -3.863233                   0.26236426 5.433722 2.9244660 1.711325
## 141 -3.244194                   0.33647224 5.293305 1.8708303 1.708270
## 143 -3.462900                  -0.11653382 5.313206 3.4760910 1.714286
## 144 -3.442019                  -0.21072103 5.356586 0.5598079 1.675557
## 145 -3.963316                   0.09531018 5.164786 3.5938596 1.691393
## 146 -3.057608                   0.40546511 5.645447 3.9130123 1.730320
## 147 -4.017384                   0.33647224 5.342334 2.1548454 1.737387
## 148 -2.748872                   0.33647224 5.468060 5.0617331 1.769060
## 149 -3.772261                   0.18232156 5.081404 3.4760910 1.717157
## 152 -3.473768                   0.78845736 5.758902 4.5182697 1.770584
## 153 -2.120264                   0.47000363 5.609472 3.4760910 1.759228
## 154 -3.611918                   0.33647224 5.181784 1.4599700 1.657003
## 155 -3.772261                   0.09531018 5.062595 2.1548454 1.701858
## 156 -3.411248                   0.64185389 5.332719 3.7055056 1.739622
## 157 -3.611918                   0.18232156 5.613128 2.7592279 1.687652
## 158 -3.912023                   0.18232156 5.198497 1.8425543 1.691393
## 159 -3.442019                   0.09531018 5.093750 2.1548454 1.753817
## 160 -3.575551                   0.53062825 5.389072 3.9130123 1.687652
## 161 -3.473768                   0.18232156 5.135798 2.9244660 1.679744
## 162 -3.611918                   0.64185389 5.342334 3.0769713 1.695003
## 163 -3.649659                   0.26236426 5.030438 0.7434918 1.679744
## 165 -3.506558                   0.18232156 5.455321 0.5598079 1.708270
## 166 -3.912023                   0.09531018 5.379897 2.0567968 1.640789
## 167 -3.963316                   0.58778666 5.342334 4.1920814 1.727834
## 168 -3.575551                   0.33647224 5.209486 4.1920814 1.708270
## 169 -3.218876                   0.09531018 5.153292 2.5785828 1.666667
## 170 -3.270169                   0.09531018 5.187386 1.5642169 1.695003
## 171 -3.296837                   0.09531018 5.117994 4.1920814 1.714286
## 172 -3.772261                   0.09531018 5.075174 1.4236758 1.671202
## 174 -3.575551                  -0.01005034 5.298317 2.0567968 1.719944
## 175 -2.975930                   0.40546511 5.476464 3.7055056 1.741801
## 176 -3.079114                  -0.06187540 5.056246 2.5595409 1.727834
## 177 -3.540459                   0.09531018 5.468060 4.1028210 1.675557
## 178 -4.509860                  -0.21072103 4.983607 2.1548454 1.622036
## 179 -2.551046                   0.26236426 5.517453 5.0000000 1.760954
## 180 -3.649659                   0.40546511 5.655992 2.5785828 1.748024
## 181 -3.506558                  -0.19845094 5.093750 3.4760910 1.708270
## 182 -3.611918                   0.18232156 5.424950 2.0567968 1.698489
## 183 -3.575551                  -0.38566248 5.365976 3.5938596 1.725279
## 184 -3.244194                   0.33647224 5.648974 2.1548454 1.705116
## 185 -3.270169                   0.47000363 5.204007 2.7763945 1.691393
## 186 -3.324236                  -0.07257069 5.198497 1.5642169 1.607768
## 189 -3.688879                   0.18232156 5.164786 2.1548454 1.657003
## 190 -3.575551                   0.09531018 5.323010 2.7763945 1.683772
## 191 -3.506558                   0.26236426 4.983607 2.7763945 1.705116
## 192 -3.381395                   0.64185389 5.327876 3.3513883 1.739622
## 193 -3.611918                   0.40546511 5.645447 2.5595409 1.698489
## 194 -3.270169                  -0.05129329 5.209486 3.9130123 1.666667
## 195 -3.649659                   0.83290912 5.303305 3.7055056 1.772079
## 197 -3.057608                   0.26236426 5.560682 2.9244660 1.717157
## 198 -3.611918                  -0.02020271 5.159055 2.0567968 1.661938
## 200 -3.912023                   0.09531018 5.323010 3.4760910 1.732739
## 201 -3.218876                   0.00000000 5.247024 3.8117017 1.708270
## 202 -3.912023                   0.00000000 5.105945 3.2187591 1.695003
## 205 -3.324236                   0.40546511 5.488938 2.3788658 1.705116
## 208 -3.611918                   0.40546511 5.192957 3.0769713 1.675557
## 210 -3.352407                   0.26236426 5.613128 0.5598079 1.683772
## 212 -4.074542                   0.09531018 5.187386 2.5595409 1.675557
## 213 -3.057608                   0.18232156 5.407172 2.1548454 1.691393
## 214 -3.772261                   0.53062825 5.293305 3.2187591 1.806653
## 215 -3.649659                   0.00000000 5.288267 2.0567968 1.719944
## 216 -3.816713                  -0.05129329 5.105945 1.7245084 1.727834
## 218 -2.847312                   0.09531018 5.327876 3.3513883 1.698489
## 219 -4.199705                  -0.11653382 5.327876 2.0567968 1.679744
## 220 -4.017384                   0.09531018 5.030438 2.5595409 1.666667
## 223 -3.575551                   0.09531018 5.303305 4.1028210 1.701858
## 224 -3.688879                   0.18232156 5.147494 2.1548454 1.657003
## 225 -3.863233                   0.40546511 5.472271 2.0567968 1.714286
## 226 -3.611918                   0.74193734 5.620401 2.3362105 1.711325
## 227 -2.864704                   0.00000000 5.293305 4.3608562 1.727834
## 228 -4.074542                  -0.44628710 5.023881 3.2187591 1.679744
## 229 -3.411248                  -0.12783337 5.192957 2.1548454 1.695003
## 230 -2.882404                   0.09531018 5.342334 2.1548454 1.719944
## 231 -3.442019                   0.09531018 5.187386 1.5642169 1.695003
## 232 -3.101093                   0.09531018 5.389072 3.0769713 1.691393
## 233 -3.352407                  -0.11653382 5.187386 1.7245084 1.687652
## 234 -3.244194                  -0.15082289 5.407172 3.4760910 1.675557
## 236 -3.688879                   0.26236426 5.081404 2.1548454 1.634852
## 237 -3.442019                   0.33647224 5.192957 3.4760910 1.732739
## 239 -4.199705                  -0.24846136 5.141664 5.7056368 1.695003
## 240 -3.411248                   0.00000000 5.093750 2.1548454 1.737387
## 241 -3.324236                   0.26236426 5.129899 3.9130123 1.657003
## 242 -2.956512                  -0.13926207 5.288267 5.1219873 1.737387
## 243 -3.381395                   0.00000000 5.252273 1.2696362 1.661938
## 244 -3.101093                   0.26236426 5.365976 1.2696362 1.797969
## 245 -2.956512                  -0.23572233 4.663439 1.7245084 1.687652
## 246 -2.937463                   0.18232156 5.583496 4.2780037 1.711325
## 247 -3.411248                  -0.08338161 5.093750 2.0567968 1.671202
## 249 -3.688879                   0.87546874 5.609472 1.5642169 1.687652
## 250 -3.146555                   0.26236426 5.303305 3.0769713 1.739622
## 251 -3.816713                   0.00000000 5.257495 1.2696362 1.691393
## 253 -3.270169                   0.00000000 5.342334 3.4760910 1.750000
## 254 -3.218876                   0.40546511 5.598422 4.3608562 1.762644
## 255 -3.506558                   0.40546511 5.472271 2.0567968 1.750000
## 256 -3.688879                   0.09531018 5.176150 2.0567968 1.646447
## 257 -3.575551                  -0.17435339 5.093750 2.0567968 1.628609
## 258 -2.937463                   0.64185389 5.351858 2.1548454 1.695003
## 260 -3.101093                   0.33647224 5.273000 3.0769713 1.741801
## 261 -3.411248                  -0.26136476 4.682131 1.2696362 1.687652
## 262 -4.017384                  -0.03045921 4.976734 1.7245084 1.666667
## 263 -3.506558                   0.33647224 5.407172 3.9130123 1.741801
## 264 -2.813411                   0.40546511 5.327876 4.5182697 1.753817
## 265 -3.540459                   0.18232156 5.252273 4.2780037 1.661938
## 267 -3.411248                   0.47000363 5.624018 2.9244660 1.719944
## 268 -3.079114                   0.18232156 5.283204 3.7055056 1.732739
## 269 -3.863233                  -0.12783337 5.262690 2.7592279 1.657003
## 270 -3.649659                   0.09531018 5.220356 2.7763945 1.739622
## 271 -2.918771                   0.53062825 5.438079 3.4760910 1.711325
## 272 -3.729701                   0.26236426 5.192957 3.7055056 1.687652
## 273 -3.057608                   0.33647224 5.594711 2.3362105 1.746000
## 274 -3.540459                   0.09531018 5.159055 0.7434918 1.675557
## 275 -3.506558                   0.09531018 5.342334 4.4408751 1.691393
## 277 -3.688879                   0.33647224 5.075174 2.5785828 1.717157
## 278 -3.506558                  -0.11653382 5.579730 3.9130123 1.719944
## 279 -3.540459                   0.09531018 5.087596 2.5785828 1.675557
## 281 -3.036554                   0.53062825 5.517453 2.5785828 1.705116
## 282 -3.352935                   0.26236426 5.288267 1.8425543 1.743926
## 283 -3.194183                   0.64185389 5.777652 3.4760910 1.753817
## 287 -3.729701                   0.58778666 5.135798 3.9130123 1.675557
## 289 -3.863233                  -0.31471074 5.087596 3.5938596 1.687652
## 290 -4.017384                   0.09531018 5.327876 2.3788658 1.698489
## 291 -3.244194                   0.58778666 5.365976 3.2187591 1.759228
## 292 -3.381395                   0.64185389 5.525453 3.5938596 1.760954
## 294 -3.688879                  -0.41551544 5.442418 3.9130123 1.671202
## 297 -3.442019                   0.00000000 5.323010 1.2696362 1.640789
## 298 -3.411248                  -0.24846136 5.521461 2.9244660 1.657003
## 299 -3.575551                   0.18232156 5.662960 2.1548454 1.675557
## 301 -3.442019                  -0.23572233 5.257495 2.1548454 1.607768
## 302 -3.649659                  -0.31471074 4.962845 2.1548454 1.708270
## 303 -3.540459                   0.47000363 5.384495 2.3362105 1.717157
## 304 -3.912023                   0.78845736 5.587249 2.1548454 1.701858
## 305 -3.688879                   0.47000363 5.693732 3.7055056 1.711325
## 306 -3.194183                   0.47000363 5.480639 4.1920814 1.743926
## 307 -2.975930                   0.33647224 5.541264 4.2780037 1.753817
## 308 -3.079114                   0.09531018 5.181784 4.6659102 1.691393
## 311 -3.688879                  -0.26136476 5.225747 4.2780037 1.730320
## 312 -3.270169                   0.26236426 5.214936 2.5595409 1.683772
## 313 -3.611918                   0.26236426 5.638355 3.0769713 1.705116
## 314 -3.816713                   0.26236426 5.236442 2.5595409 1.661938
## 315 -3.411248                  -0.04082199 5.262690 4.3608562 1.743926
## 316 -4.074542                   0.47000363 5.332719 4.1028210 1.671202
## 317 -4.074542                   0.33647224 5.505332 2.7934108 1.646447
## 320 -3.057608                   0.18232156 5.323010 4.1028210 1.666667
## 321 -3.729701                  -0.37106368 4.976734 3.7055056 1.679744
## 322 -3.057608                   0.47000363 5.402677 4.4408751 1.698489
## 323 -3.079114                   0.40546511 5.424950 2.7763945 1.675557
## 324 -3.688879                   0.18232156 5.135798 3.2187591 1.698489
## 325 -3.146555                   0.33647224 5.472271 4.4408751 1.722650
## 326 -3.473768                   0.18232156 5.389072 2.0567968 1.701858
## 327 -3.324236                   0.09531018 5.609472 2.9244660 1.725279
## 329 -3.912023                   0.40546511 5.278115 2.1548454 1.714286
## 330 -3.244194                   0.09531018 5.209486 3.7055056 1.727834
## 331 -3.101093                   0.00000000 5.087596 3.0769713 1.600000
## 332 -3.296837                  -0.01005034 5.411646 3.3513883 1.717157
## 333 -3.649659                   0.64185389 5.552960 3.9130123 1.727834
##     IP_10_Inducible_Protein_10        IgA Kidney_Injury_Molecule_1_KIM_1
## 1                     6.242223  -6.812445                      -1.204295
## 2                     5.686975  -6.377127                      -1.197703
## 3                     5.049856  -6.319969                      -1.191191
## 5                     6.369901  -4.645992                      -1.163800
## 6                     5.480639  -5.809143                      -1.123868
## 7                     5.451038  -6.645391                      -1.143534
## 8                     5.968708  -5.083206                      -1.184754
## 9                     5.375278  -6.645391                      -1.159695
## 11                    6.144186  -5.776353                      -1.155616
## 12                    5.164786  -6.502290                      -1.153587
## 14                    6.313548  -5.599422                      -1.172093
## 16                    5.598422  -5.449140                      -1.202089
## 17                    6.063785  -5.496768                      -1.123868
## 18                    5.036953  -6.214608                      -1.163800
## 19                    7.383989  -7.323271                      -1.206511
## 20                    5.375278  -4.509860                      -1.191191
## 21                    6.218600  -5.339139                      -1.147537
## 22                    5.789960  -5.403678                      -1.224597
## 23                    5.056246  -5.952244                      -1.186891
## 24                    5.683580  -6.119298                      -1.202089
## 25                    5.416100  -7.402052                      -1.155616
## 26                    5.843544  -6.165818                      -1.155616
## 28                    5.758902  -6.502290                      -1.182624
## 29                    5.480639  -6.437752                      -1.184754
## 30                    5.837730  -7.293418                      -1.143534
## 31                    6.428105  -6.074846                      -1.145532
## 34                    5.484797  -5.278515                      -1.167932
## 35                    4.905275  -5.744604                      -1.170009
## 36                    6.612041  -4.803621                      -1.174184
## 37                    6.086775  -6.074846                      -1.182624
## 38                    5.902633  -6.907755                      -1.172093
## 39                    5.181784  -6.119298                      -1.199892
## 40                    6.527958  -6.119298                      -1.172093
## 41                    5.484797  -5.496768                      -1.159695
## 42                    5.541264  -6.214608                      -1.213217
## 43                    5.937536  -6.265901                      -1.123868
## 44                    6.675823  -6.437752                      -1.210972
## 45                    6.118097  -5.744604                      -1.155616
## 46                    5.204007  -6.571283                      -1.217737
## 47                    5.389072  -6.907755                      -1.186891
## 48                    5.758902  -6.032287                      -1.165862
## 50                    5.723585  -5.572754                      -1.213217
## 51                    5.451038  -6.948577                      -1.224597
## 53                    5.983936  -5.360193                      -1.199892
## 55                    5.476464  -6.725434                      -1.204295
## 56                    5.913503  -6.437752                      -1.174184
## 57                    6.156979  -5.259097                      -1.231557
## 59                    6.565265  -5.472671                      -1.191191
## 60                    5.817111  -5.572754                      -1.184754
## 61                    5.147494  -6.502290                      -1.163800
## 62                    5.817111  -6.265901                      -1.143534
## 63                    5.981414  -6.032287                      -1.182624
## 64                    6.059123  -5.360193                      -1.157652
## 65                    5.129899  -6.645391                      -1.197703
## 67                    5.468060  -6.812445                      -1.208737
## 68                    5.318120  -6.725434                      -1.224597
## 69                    5.225747  -6.119298                      -1.170009
## 70                    5.765191  -7.236259                      -1.159695
## 71                    5.153292  -7.035589                      -1.186891
## 72                    6.565265  -5.201186                      -1.231557
## 73                    5.805135  -6.032287                      -1.193353
## 74                    5.758902  -5.572754                      -1.145532
## 75                    6.115892  -4.791500                      -1.204295
## 76                    5.141664  -6.165818                      -1.193353
## 77                    5.420535  -5.360193                      -1.217737
## 78                    6.700731  -5.744604                      -1.195524
## 80                    5.855072  -5.991465                      -1.143534
## 81                    5.891644  -7.195437                      -1.178389
## 82                    5.846439  -6.502290                      -1.172093
## 83                    5.983936  -6.437752                      -1.208737
## 84                    5.690359  -6.907755                      -1.163800
## 85                    6.359574  -5.776353                      -1.197703
## 86                    6.023448  -5.020686                      -1.182624
## 88                    5.958425  -6.502290                      -1.199892
## 90                    5.505332  -6.645391                      -1.241005
## 93                    5.799093  -5.067206                      -1.241005
## 94                    6.813445  -4.268698                      -1.213217
## 95                    5.697093  -6.725434                      -1.104733
## 96                    6.300786  -6.725434                      -1.191191
## 97                    5.905362  -6.645391                      -1.189037
## 98                    5.327876  -6.927958                      -1.167932
## 99                    5.525453  -6.437752                      -1.204295
## 100                   5.662960  -6.377127                      -1.186891
## 103                   6.115892  -8.047190                      -1.213217
## 104                   5.686975  -6.214608                      -1.217737
## 105                   5.068904  -6.645391                      -1.213217
## 107                   5.361292  -6.725434                      -1.161744
## 108                   6.326149  -6.437752                      -1.206511
## 109                   5.384495  -6.319969                      -1.193353
## 110                   5.752573  -7.250246                      -1.157652
## 111                   5.529429  -6.377127                      -1.208737
## 112                   6.423247  -5.083206                      -1.184754
## 113                   6.322565  -4.699481                      -1.159695
## 114                   5.468060  -5.521461                      -1.151564
## 115                   6.879356  -4.879607                      -1.167932
## 117                   5.793014  -6.812445                      -1.161744
## 118                   6.579251  -6.319969                      -1.178389
## 121                   5.673323  -5.318520                      -1.206511
## 123                   5.451038  -6.502290                      -1.170009
## 124                   5.075174  -6.074846                      -1.197703
## 126                   5.049856  -6.319969                      -1.165862
## 128                   6.651572  -5.914504                      -1.182624
## 129                   5.934894  -6.437752                      -1.204295
## 130                   5.793014  -5.259097                      -1.178389
## 131                   4.962845  -7.082109                      -1.180503
## 132                   5.852202  -6.214608                      -1.159695
## 133                   6.107023  -5.083206                      -1.202089
## 134                   5.743003  -5.472671                      -1.149547
## 135                   5.332719  -5.546779                      -1.159695
## 136                   6.410175  -5.083206                      -1.208737
## 137                   4.934474  -5.713833                      -1.161744
## 139                   5.501258  -6.265901                      -1.172093
## 140                   6.406880  -6.265901                      -1.182624
## 141                   5.429346  -6.645391                      -1.145532
## 143                   6.068426  -5.991465                      -1.161744
## 144                   6.013715  -6.214608                      -1.182624
## 145                   5.513429  -6.032287                      -1.174184
## 146                   6.646391  -4.879607                      -1.182624
## 147                   6.651572  -6.938214                      -1.210972
## 148                   6.588926  -5.952244                      -1.229225
## 149                   5.720312  -7.338538                      -1.202089
## 152                   6.431331  -5.683980                      -1.206511
## 153                   6.165418  -5.099467                      -1.172093
## 154                   4.990433  -7.013116                      -1.204295
## 155                   5.616771  -6.265901                      -1.161744
## 156                   5.472271  -5.240048                      -1.191191
## 157                   4.927254  -6.571283                      -1.170009
## 158                   4.997212  -5.914504                      -1.199892
## 159                   6.259581  -5.914504                      -1.174184
## 160                   4.962845  -5.496768                      -1.199892
## 161                   6.444131  -5.952244                      -1.157652
## 162                   5.846439  -7.118476                      -1.224597
## 163                   5.641907  -6.907755                      -1.217737
## 165                   6.184149  -6.645391                      -1.191191
## 166                   5.613128  -6.571283                      -1.180503
## 167                   6.220590  -6.907755                      -1.243398
## 168                   5.111988  -6.725434                      -1.184754
## 169                   5.575949  -5.599422                      -1.170009
## 170                   6.336826  -5.952244                      -1.155616
## 171                   5.899897  -5.149897                      -1.178389
## 172                   5.389072  -6.645391                      -1.147537
## 174                   5.648974  -5.521461                      -1.159695
## 175                   5.828946  -4.625373                      -1.195524
## 176                   6.169611  -6.437752                      -1.163800
## 177                   5.198497  -6.812445                      -1.204295
## 178                   5.897154  -6.907755                      -1.170009
## 179                   6.073045  -4.828314                      -1.123868
## 180                   6.220738  -6.119298                      -1.167932
## 181                   5.135798  -6.571283                      -1.224597
## 182                   5.214936 -10.519674                      -1.170009
## 183                   4.990433  -5.809143                      -1.123868
## 184                   5.739793  -6.812445                      -1.191191
## 185                   5.863631  -5.809143                      -1.174184
## 186                   4.779123  -6.265901                      -1.151564
## 189                   5.720312  -5.878136                      -1.199892
## 190                   5.968708  -5.654992                      -1.224597
## 191                   5.575949  -6.119298                      -1.236256
## 192                   6.315358  -6.165818                      -1.243398
## 193                   5.752573  -7.082109                      -1.202089
## 194                   5.493061  -6.165818                      -1.206511
## 195                   5.805135  -6.165818                      -1.204295
## 197                   5.777652  -5.449140                      -1.163800
## 198                   5.958425  -6.725434                      -1.222299
## 200                   5.549076  -6.725434                      -1.202089
## 201                   6.063785  -6.165818                      -1.184754
## 202                   5.659482  -6.991137                      -1.163800
## 205                   5.135798  -5.878136                      -1.193353
## 208                   6.903747  -6.265901                      -1.213217
## 210                   6.001415  -6.502290                      -1.202089
## 212                   5.407172  -7.799353                      -1.172093
## 213                   5.424950  -5.713833                      -1.172093
## 214                   5.298317  -6.319969                      -1.193353
## 215                   5.278115  -6.571283                      -1.161744
## 216                   5.934894  -5.878136                      -1.197703
## 218                   6.456770  -4.840893                      -1.206511
## 219                   5.986452  -6.119298                      -1.174184
## 220                   5.361292  -7.452482                      -1.186891
## 223                   5.442418  -5.298317                      -1.143534
## 224                   5.733341  -5.713833                      -1.151564
## 225                   5.752573  -6.377127                      -1.197703
## 226                   5.575949  -5.521461                      -1.243398
## 227                   5.996452  -5.318520                      -1.157652
## 228                   5.652489  -6.812445                      -1.143534
## 229                   5.648974  -5.221356                      -1.143534
## 230                   5.579730  -5.426151                      -1.172093
## 231                   5.863631  -6.502290                      -1.123868
## 232                   5.384495  -5.599422                      -1.206511
## 233                   5.937536  -7.106206                      -1.208737
## 234                   4.969813  -5.184989                      -1.147537
## 236                   5.198497  -6.812445                      -1.159695
## 237                   5.953243  -6.980326                      -1.193353
## 239                   5.030438  -5.843045                      -1.149547
## 240                   5.288267  -7.523941                      -1.163800
## 241                   5.288267  -6.319969                      -1.163800
## 242                   5.537334  -4.342806                      -1.199892
## 243                   5.093750  -5.683980                      -1.182624
## 244                   5.902633  -6.645391                      -1.165862
## 245                   4.700480  -6.377127                      -1.224597
## 246                   6.298949  -4.947660                      -1.167932
## 247                   5.817111  -6.645391                      -1.220013
## 249                   5.590987  -7.182192                      -1.182624
## 250                   5.746203  -5.914504                      -1.213217
## 251                   5.686975  -6.571283                      -1.176283
## 253                   6.003887  -4.976234                      -1.143534
## 254                   6.793466  -5.914504                      -1.184754
## 255                   5.993961  -5.184989                      -1.182624
## 256                   4.941642  -6.907755                      -1.195524
## 257                   5.123964  -7.293418                      -1.153587
## 258                   5.323010  -6.927958                      -1.199892
## 260                   5.872118  -5.878136                      -1.206511
## 261                   5.648974  -6.265901                      -1.174184
## 262                   4.844187  -6.074846                      -1.208737
## 263                   6.077642  -7.082109                      -1.220013
## 264                   6.070738  -5.472671                      -1.202089
## 265                   5.303305  -5.713833                      -1.213217
## 267                   6.063785  -5.599422                      -1.178389
## 268                   6.013715  -6.725434                      -1.224597
## 269                   5.087596  -8.145630                      -1.178389
## 270                   5.620401  -5.843045                      -1.233900
## 271                   5.924256  -5.472671                      -1.202089
## 272                   5.820083  -5.381699                      -1.191191
## 273                   6.173786  -6.119298                      -1.231557
## 274                   5.587249  -6.502290                      -1.217737
## 275                   6.122493  -5.991465                      -1.161744
## 277                   6.137727  -5.683980                      -1.167932
## 278                   6.357842  -5.878136                      -1.161744
## 279                   6.186209  -5.572754                      -1.167932
## 281                   5.631212  -5.221356                      -1.151564
## 282                   5.356586  -5.991465                      -1.193353
## 283                   6.873164  -5.744604                      -1.255574
## 287                   5.135798  -5.809143                      -1.191191
## 289                   5.501258  -5.952244                      -1.143534
## 290                   5.517453  -5.991465                      -1.204295
## 291                   5.389072  -5.381699                      -1.167932
## 292                   6.617403  -6.265901                      -1.178389
## 294                   5.840642  -6.571283                      -1.104733
## 297                   5.517453  -5.952244                      -1.176283
## 298                   4.317488  -6.119298                      -1.176283
## 299                   6.098074  -6.725434                      -1.172093
## 301                   5.590987  -7.542634                      -1.174184
## 302                   5.241747  -6.165818                      -1.143534
## 303                   5.720312  -6.119298                      -1.202089
## 304                   5.796058  -6.437752                      -1.186891
## 305                   5.361292  -5.713833                      -1.231557
## 306                   5.497168  -5.472671                      -1.161744
## 307                   6.532334  -5.546779                      -1.174184
## 308                   6.054439  -5.521461                      -1.174184
## 311                   6.278521  -5.221356                      -1.174184
## 312                   5.874931  -6.032287                      -1.208737
## 313                   6.059123  -6.502290                      -1.206511
## 314                   5.087596  -7.035589                      -1.208737
## 315                   6.208590  -5.339139                      -1.178389
## 316                   4.356709  -6.119298                      -1.213217
## 317                   5.971262  -6.907755                      -1.193353
## 320                   5.252273  -4.710531                      -1.172093
## 321                   5.111988  -7.024289                      -1.167932
## 322                   6.011267  -5.051457                      -1.186891
## 323                   6.897705  -6.214608                      -1.226905
## 324                   6.208590  -7.169120                      -1.147537
## 325                   7.501082  -6.319969                      -1.222299
## 326                   5.560682  -6.812445                      -1.248226
## 327                   5.587249  -5.240048                      -1.195524
## 329                   5.926926  -6.812445                      -1.193353
## 330                   5.267858  -4.199705                      -1.155616
## 331                   5.293305  -6.265901                      -1.206511
## 332                   5.273000  -5.914504                      -1.189037
## 333                   6.746412  -6.074846                      -1.253110
##        MCP_1     MCP_2        MIF MIP_1alpha      MMP_3     MMP10       MMP7
## 1   6.740519 1.9805094 -1.2378744  4.9684528 -2.2072749 -3.270169 -3.7735027
## 2   6.849066 1.8088944 -1.8971200  3.6901597 -2.4651040 -3.649659 -5.9681907
## 3   6.767343 0.4005958 -2.3025851  4.0495083 -2.3025851 -2.733368 -4.0302269
## 5   6.722630 2.2208309 -1.8971200  6.4527639 -1.5606477 -2.617296 -0.2222222
## 6   6.541030 2.3343863 -2.0402208  4.6034206 -3.0365543 -3.324236 -1.9223227
## 7   6.359574 2.1030230 -2.1202635  3.5512079 -2.1202635 -4.135167 -5.9681907
## 8   6.448889 2.6867663 -1.7719568  6.4527639 -2.5257286 -3.688879 -2.4721360
## 9   6.445720 1.8527528 -2.2072749  2.1623278 -2.5639499 -4.017384 -5.8446454
## 11  6.606650 4.0237466 -1.5141277  5.3589486 -2.3025851 -3.963316 -3.7735027
## 12  6.444131 1.5303762 -1.7147984  3.9611107 -2.3025851 -3.244194 -3.0000000
## 14  6.744059 2.4440754 -2.0402208  4.9684528 -2.5133061 -3.575551 -1.3806170
## 16  6.212606 1.0483341 -1.5141277  4.4785663 -2.6592600 -3.123566 -4.0302269
## 17  6.781058 2.8501989 -1.9661129  5.3589486 -3.2188758 -3.411248 -2.8507125
## 18  6.501290 1.8527528 -2.3330443  2.7632020 -2.3025851 -3.963316 -1.2879797
## 19  6.066108 2.8501989 -1.7147984  5.7354768 -3.1941832 -4.074542 -3.3452248
## 20  6.787845 1.5303762 -2.3538784  4.9684528 -1.9661129 -2.563950 -0.6037782
## 21  6.513230 2.8501989 -1.4696760  4.3519974 -2.3859667 -3.324236 -3.3452248
## 22  6.476972 1.7643559 -1.4696760  4.9285621 -1.1711830 -3.611918 -4.0302269
## 23  6.293419 1.8088944 -2.1202635  3.6901597 -2.1202635 -4.135167 -6.3770782
## 24  6.403574 1.0483341 -1.7147984  4.6034206 -2.7333680 -3.381395 -4.3245553
## 25  6.424869 2.1820549 -2.1202635  3.4097438 -2.6736488 -3.506558 -4.0302269
## 26  6.122493 2.0219013 -1.5606477  4.0495083 -1.8325815 -3.381395 -3.5470020
## 28  7.003065 1.6263611 -1.8971200  3.7359451 -2.5902672 -3.381395 -4.0302269
## 29  6.484635 2.2969819 -1.8971200  3.5043402 -2.9004221 -3.772261 -2.2640143
## 30  6.177944 2.1030230 -2.4079456  2.3321346 -2.3126354 -3.863233 -3.7735027
## 31  6.408529 2.5152196 -2.1202635  5.3589486 -2.3644605 -3.244194 -3.3452248
## 34  6.815640 2.7530556 -1.8971200  3.4097438 -2.6592600 -3.270169 -2.8507125
## 35  6.478510 1.5303762 -1.8325815  3.4097438 -2.5383074 -3.506558 -2.5883147
## 36  6.651572 1.8527528 -1.8325815  3.9611107 -2.0402208 -3.218876 -0.7216553
## 37  6.293419 1.6263611 -1.4696760  4.3519974 -1.6094379 -3.218876 -3.7735027
## 38  6.416732 1.8527528 -1.7147984  3.9611107 -2.1202635 -3.270169 -4.7040152
## 39  6.302619 0.4005958 -1.8325815  3.2656012 -2.6310892 -4.074542 -4.5938047
## 40  6.797940 2.6191813 -2.1202635  3.6901597 -2.3025851 -3.912023 -1.6514837
## 41  6.796824 1.0483341 -1.5141277  2.7632020 -2.7181005 -3.270169 -3.7735027
## 42  6.246107 1.0483341 -1.7719568  3.4097438 -2.4889147 -3.816713 -4.3245553
## 43  6.364751 1.8527528 -2.2072749  3.8717775 -2.4889147 -3.218876 -3.1639778
## 44  6.583409 1.8088944 -1.8971200  4.2236285 -2.5133061 -3.123566 -4.4888568
## 45  6.877296 3.0369315 -1.3470736  5.3589486 -1.4696760 -2.764621 -2.1702883
## 46  6.602588 1.1637797 -1.8325815  3.6901597 -1.5141277 -3.270169 -1.1622777
## 47  6.516193 1.8527528 -1.8325815  3.9611107 -3.2441936 -3.649659 -2.8507125
## 48  6.562444 1.5303762 -1.1711830  3.5512079 -1.9661129 -3.816713 -4.0302269
## 50  6.453625 3.2434918 -1.6607312  4.2236285 -2.3025851 -2.645075 -3.5470020
## 51  6.154858 1.7643559 -1.9661129  3.0188940 -2.4534080 -4.074542 -4.6666667
## 53  6.401917 1.1637797 -1.8971200  5.3589486 -2.3227878 -3.411248 -3.7735027
## 55  6.222576 1.6731213 -2.1202635  4.0495083 -2.2072749 -3.540459 -6.6874449
## 56  6.480045 1.5303762 -1.8325815  3.1185934 -2.5383074 -3.729701 -4.3245553
## 57  6.661855 1.9805094 -1.2729657  6.7959273 -1.9661129 -3.442019 -2.8507125
## 59  6.565265 2.5848812 -1.7147984  4.6857433 -2.3644605 -3.772261 -3.0000000
## 60  6.481577 1.6731213 -2.2072749  4.7266389 -3.3813948 -4.074542 -4.3887656
## 61  6.242223 1.5303762 -2.1202635  2.7632020 -3.2968374 -4.017384 -3.5470020
## 62  6.556778 1.8527528 -2.3538784  3.5512079 -3.0791139 -4.422849 -6.7705802
## 63  6.823286 2.3713615 -1.5606477  3.9611107 -2.5902672 -3.688879 -3.7735027
## 64  6.669498 2.1427912 -1.6607312  5.3589486 -3.3813948 -3.101093 -1.0151134
## 65  6.320768 1.1637797 -2.0402208  3.2656012 -2.2072749 -3.649659 -4.0302269
## 67  6.401917 1.5303762 -1.3470736  3.1185934 -2.4889147 -3.772261 -6.3045480
## 68  6.368187 1.7643559 -1.1394343  6.0996440 -2.5510465 -3.540459 -4.3245553
## 69  6.263398 1.1637797 -2.2072749  2.9685108 -4.2686979 -4.342806 -5.7849894
## 70  6.259581 2.0219013 -1.6607312  2.9685108 -1.8971200 -3.324236 -3.3452248
## 71  6.579251 1.3273591 -2.1202635  4.3519974 -2.0402208 -4.135167 -4.0302269
## 72  6.603944 2.2591348 -1.7147984  5.3589486 -1.6607312 -3.506558 -4.0302269
## 73  6.406880 1.1637797 -1.6094379  5.3589486 -1.3470736 -3.324236 -5.2074997
## 74  6.326149 2.5152196 -2.3751558  3.8717775 -2.8134107 -2.995732 -2.0000000
## 75  6.946976 1.8088944 -2.3330443  6.4527639 -1.8971200 -3.015935 -2.4721360
## 76  6.907755 1.6731213 -1.5141277  3.4097438 -1.4696760 -2.577022 -2.7140452
## 77  6.606650 1.5303762 -1.5606477  4.6034206 -2.3126354 -3.473768 -4.5582584
## 78  6.293419 2.6191813 -1.6607312  5.7354768 -1.8971200 -3.036554 -3.1639778
## 80  6.817831 1.8527528 -1.6094379  3.8717775 -1.8325815 -3.411248 -2.3643578
## 81  6.742881 0.4005958 -1.8971200  3.4097438 -3.0365543 -3.540459 -3.7735027
## 82  6.630683 2.0219013 -1.8971200  2.7632020 -2.1202635 -3.473768 -4.0302269
## 83  6.442540 2.3713615 -1.8971200  6.4527639 -1.9661129 -3.411248 -3.5470020
## 84  6.576470 2.1427912 -1.6607312  3.9611107 -3.2441936 -3.575551 -3.3452248
## 85  6.767343 2.1427912 -1.7147984  3.2656012 -2.1202635 -3.688879 -3.7735027
## 86  6.829794 2.1427912 -1.4696760  3.5512079 -1.4271164 -3.123566 -2.7140452
## 88  6.508769 2.6867663 -1.2729657  5.3589486 -2.2072749 -3.270169 -3.1639778
## 90  6.586172 2.1820549 -2.3025851  5.7354768 -3.6496587 -4.509860 -8.3975049
## 93  6.665684 1.7643559 -1.8325815  3.8717775 -2.4418472 -3.688879 -3.5470020
## 94  7.038784 3.1563503 -1.4271164  6.0996440 -1.3470736 -2.645075 -1.4299717
## 95  6.517671 2.5152196 -2.1202635  3.5512079 -2.8134107 -3.688879 -2.7140452
## 96  6.437752 2.0219013 -1.6094379  4.0495083 -2.2072749 -3.816713 -3.3452248
## 97  6.152733 2.0219013 -2.0402208  2.7632020 -2.1202635 -3.649659 -4.5938047
## 98  6.459904 1.5303762 -2.2072749  0.9345728 -3.9120230 -4.342806 -7.3250481
## 99  6.927558 1.5303762 -2.1202635  5.3589486 -1.3470736 -3.963316 -3.5935279
## 100 6.249975 1.5303762 -1.8971200  3.1185934 -2.0402208 -3.649659 -5.1611487
## 103 6.726233 1.1637797 -1.8325815  3.6901597 -1.2729657 -2.995732 -3.2335542
## 104 7.229839 2.5502306 -1.5606477  4.2666237 -2.2072749 -3.963316 -4.8199434
## 105 6.463029 1.1637797 -1.8971200  3.2656012 -2.6310892 -3.863233 -5.5592895
## 107 6.161207 1.8527528 -1.6607312  4.0495083 -2.5770219 -3.575551 -1.3806170
## 108 6.731018 2.1030230 -2.0402208  2.9685108 -2.8647040 -3.912023 -1.9223227
## 109 6.304449 0.4005958 -2.4304185  3.2656012 -3.3524072 -4.667046 -7.5346259
## 110 6.869014 1.6731213 -2.2072749  3.5512079 -3.4420194 -3.963316 -4.3245553
## 111 6.566672 1.7643559 -1.4271164  3.2656012 -2.1202635 -3.575551 -1.2879797
## 112 6.519147 2.3343863 -1.5606477  5.7354768 -1.7147984 -2.631089 -3.3452248
## 113 6.748760 2.0219013 -1.9661129  4.9684528 -2.3126354 -2.995732 -2.3643578
## 114 6.455199 2.0219013 -2.1202635  3.4097438 -3.0791139 -4.199705 -5.1156807
## 115 6.212606 2.1427912 -1.5606477  4.0933668 -2.6310892 -3.381395 -2.2640143
## 117 6.184149 1.5303762 -1.8971200  2.5513420 -1.7719568 -3.575551 -4.3564173
## 118 6.403574 2.0219013 -1.1086626  3.9165632 -0.5276327 -2.207275 -2.3643578
## 121 6.142037 2.3713615 -1.6607312  4.4785663 -1.5606477 -3.575551 -0.4253563
## 123 6.663133 2.6867663 -2.5510465  2.7632020 -3.3813948 -4.199705 -2.0000000
## 124 6.473891 1.7643559 -1.7719568  3.5043402 -1.8971200 -3.863233 -3.1639778
## 126 6.538140 1.5303762 -1.8971200  3.1185934 -1.9661129 -4.268698 -4.8199434
## 128 6.927558 2.5848812 -1.8971200  3.1185934 -2.3644605 -3.272534 -1.2025631
## 129 5.826000 0.4005958 -2.1202635  3.2656012 -3.1235656 -4.017384 -5.9056942
## 130 6.251904 2.0219013 -1.9661129  4.3519974 -1.8971200 -4.017384 -3.7735027
## 131 6.356108 0.4005958 -2.3126354  3.6901597 -2.9565116 -3.863233 -5.0710678
## 132 5.908083 1.5303762 -2.2072749  4.0495083 -1.8971200 -3.506558 -4.0302269
## 133 6.146329 2.3343863 -1.8325815  4.3519974 -2.4769385 -3.912023 -2.4721360
## 134 6.844815 1.6263611 -1.0216512  5.3589486 -1.3862944 -2.813411 -0.5000000
## 135 6.458338 1.8527528 -1.9661129  2.3321346 -3.6496587 -4.017384 -4.3245553
## 136 6.511745 2.9135187 -2.0402208  4.2666237 -2.3434071 -3.575551 -2.4721360
## 137 6.084499 0.4005958 -2.2072749  3.6901597 -2.7806209 -3.963316 -4.6299354
## 139 6.416732 2.0219013 -1.7719568  4.0495083 -2.4769385 -3.442019 -3.3452248
## 140 6.284134 1.6263611 -1.4271164  3.2169268 -2.5639499 -3.729701 -4.0302269
## 141 6.364751 1.0483341 -1.8325815  3.4097438 -2.3025851 -4.074542 -3.1639778
## 143 6.775366 2.6867663 -2.1202635  4.9684528 -2.4889147 -3.688879 -3.5470020
## 144 6.561031 2.0219013 -2.0402208  4.1804231 -3.0791139 -3.912023 -3.7735027
## 145 6.493754 1.6731213 -2.3025851  2.3321346 -3.1700857 -4.074542 -5.0272837
## 146 6.677083 2.3343863 -1.6094379  4.6034206 -1.6094379 -2.975930 -2.1702883
## 147 6.678342 2.8501989 -1.2378744  4.6034206 -1.6607312 -3.270169 -3.7735027
## 148 6.613384 2.9757467 -1.8325815  5.7354768 -2.1202635 -3.411248 -1.7139068
## 149 6.520621 1.5303762 -2.2072749  4.0495083 -2.5133061 -3.688879 -1.7139068
## 152 6.669498 2.0219013 -0.8439701  4.1804231 -1.6607312 -3.244194 -2.0824829
## 153 6.669498 2.6191813 -1.7147984  4.4785663 -2.3859667 -3.473768 -3.5470020
## 154 6.196444 0.4005958 -2.1202635  3.0689186 -2.9565116 -4.422849 -5.9681907
## 155 6.504288 2.3343863 -1.8971200  1.7449255 -3.0791139 -3.963316 -5.2547625
## 156 6.532334 0.4005958 -2.3126354  4.9684528 -2.6310892 -3.506558 -1.1622777
## 157 6.357842 1.1637797 -1.9661129  3.6901597 -2.5770219 -3.912023 -3.1639778
## 158 6.202536 1.1637797 -2.0402208  3.4571875 -2.2072749 -3.575551 -5.1611487
## 159 5.905362 3.0064666 -2.1202635  3.6901597 -2.6592600 -4.074542 -4.3245553
## 160 5.968708 1.1637797 -1.8971200  3.2656012 -1.7147984 -3.540459 -4.5582584
## 161 5.937536 2.3713615 -1.7147984  3.9611107 -2.3644605 -3.963316 -5.0710678
## 162 6.689599 2.1820549 -1.2378744  4.7673608 -2.9004221 -4.074542 -3.7735027
## 163 6.563856 1.5303762 -2.0402208  3.0188940 -3.6496587 -4.509860 -6.6874449
## 165 7.106606 2.6191813 -1.6607312  3.7359451 -2.7333680 -3.473768 -3.5470020
## 166 6.529419 1.5303762 -1.7719568  1.9277652 -2.8134107 -4.074542 -5.4023321
## 167 6.610696 2.1820549 -1.4696760  4.9285621 -1.6607312 -2.864704 -1.5921060
## 168 6.797940 1.5303762 -2.3025851  4.0495083 -2.3644605 -3.772261 -0.9814240
## 169 6.371612 2.0219013 -2.1202635  4.0495083 -2.6172958 -4.342806 -2.0000000
## 170 7.012115 2.6191813 -1.4696760  4.0495083 -3.8167128 -4.933674 -2.0000000
## 171 6.257668 1.0483341 -1.8325815  3.8267490 -1.8971200 -3.270169 -4.9421013
## 172 5.940171 1.1637797 -2.2072749  3.5512079 -2.7488722 -4.074542 -5.2074997
## 174 6.937314 2.7530556 -1.7147984  4.4785663 -1.7719568 -3.101093 -1.5921060
## 175 6.590301 2.6191813 -1.8325815  4.3519974 -2.1202635 -2.343407 -2.5883147
## 176 6.697034 1.5303762 -1.7147984  4.5619880 -2.8647040 -3.912023 -5.0710678
## 177 6.714171 1.7643559 -1.8325815  4.6034206 -1.6607312 -3.473768 -4.7419986
## 178 6.047372 1.9805094 -1.9661129  2.7632020 -2.7181005 -3.688879 -4.0302269
## 179 6.347389 2.0219013 -2.3751558  4.9684528 -2.7333680 -2.659260 -2.1884251
## 180 6.369901 2.8501989 -1.8971200  5.7354768 -2.3434071 -3.649659 -2.0000000
## 181 6.626718 1.7643559 -2.1202635  5.3589486 -3.0365543 -4.135167 -5.5592895
## 182 6.200509 0.4005958 -1.8971200  3.1679268 -2.2072749 -3.912023 -5.0710678
## 183 6.621406 2.1030230 -2.5133061  2.3321346 -2.7488722 -3.611918 -3.7735027
## 184 6.333280 2.0219013 -1.3093333  4.6034206 -2.4769385 -3.473768 -5.4023321
## 185 6.778785 1.0483341 -2.0402208  4.5619880 -2.5133061 -3.324236 -4.4549722
## 186 6.729824 1.6263611 -1.8325815  3.9165632 -2.6172958 -3.688879 -5.0272837
## 189 6.016157 1.0483341 -1.6607312  3.7359451 -2.6736488 -3.772261 -6.0321933
## 190 6.429719 1.2195081 -1.6607312  5.3589486 -1.5606477 -3.912023 -4.0302269
## 191 6.556778 1.7643559 -1.7147984  4.6034206 -2.2072749 -3.101093 -6.8561489
## 192 7.012115 2.1820549 -1.4271164  4.2666237 -2.7968814 -3.473768 -4.3245553
## 193 6.214608 0.4005958 -1.4696760  2.3876751 -2.3644605 -3.473768 -3.5470020
## 194 6.320768 1.7643559 -2.0402208  3.5043402 -3.0791139 -3.688879 -2.8507125
## 195 6.701960 2.0219013 -2.0402208  2.8151156 -1.5606477 -3.473768 -1.1234752
## 197 6.366470 1.6263611 -0.9416085  4.1804231 -2.3025851 -3.575551 -2.2640143
## 198 6.212606 1.9805094 -2.1202635  3.2656012 -2.7646206 -4.135167 -5.5058663
## 200 6.297109 1.5303762 -1.6607312  2.3321346 -2.6310892 -3.575551 -4.0302269
## 201 6.345636 1.9805094 -1.8325815  5.7354768 -2.3434071 -3.540459 -3.3452248
## 202 6.246107 1.5303762 -2.2072749  2.7632020 -3.2968374 -4.074542 -6.6066297
## 205 6.937314 1.8088944 -1.8971200  4.6857433 -1.8971200 -3.411248 -2.0000000
## 208 6.075346 2.6867663 -2.0402208  4.9285621 -2.9957323 -3.816713 -5.0710678
## 210 6.504288 4.0237466 -2.2072749  4.1804231 -2.1202635 -3.170086 -3.0000000
## 212 6.629363 1.0483341 -1.8325815  2.3876751 -2.4889147 -4.342806 -4.0302269
## 213 6.637258 1.6263611 -1.9661129  4.6034206 -1.4696760 -3.101093 -3.0000000
## 214 6.685861 2.0219013 -2.0402208  4.8079117 -2.9565116 -3.218876 -3.3452248
## 215 6.622736 2.1030230 -1.9661129  3.5512079 -1.8971200 -3.912023 -1.6514837
## 216 6.513230 4.0237466 -2.1202635  5.7354768 -2.7030627 -3.473768 -4.4549722
## 218 6.393591 2.1820549 -1.9661129  5.7354768 -2.5010360 -3.381395 -2.2640143
## 219 6.089045 2.1427912 -1.8971200  3.1185934 -2.9374634 -4.199705 -5.1611487
## 220 6.679599 1.0483341 -1.8325815  3.1185934 -2.5902672 -3.816713 -5.8446454
## 223 6.156979 1.6731213 -2.1202635  4.1804231 -2.6310892 -3.575551 -3.3452248
## 224 6.212606 1.8527528 -2.0402208  3.5512079 -1.8971200 -3.912023 -5.8446454
## 225 6.253829 1.5303762 -1.8971200  2.5513420 -2.5770219 -4.135167 -5.5058663
## 226 6.839476 1.9805094 -1.7147984  5.7354768 -1.1394343 -3.575551 -3.0000000
## 227 6.184149 2.3343863 -2.3859667  3.8717775 -1.8325815 -3.649659 -3.0000000
## 228 6.434547 1.9805094 -2.3025851  2.5513420 -2.6310892 -3.963316 -1.4299717
## 229 6.042633 1.0483341 -2.0402208  3.4097438 -2.4534080 -3.270169 -0.4077171
## 230 6.816736 2.1820549 -1.2729657  5.3589486 -2.2072749 -3.123566 -2.7140452
## 231 6.282267 2.6191813 -1.9661129  3.7359451 -3.3524072 -3.912023 -4.4888568
## 232 6.898715 2.6867663 -1.7719568  4.2666237 -2.5510465 -4.135167 -5.3521462
## 233 6.214608 2.9135187 -2.1202635  4.2666237 -2.6450754 -3.688879 -5.3029674
## 234 6.154858 1.0483341 -1.8971200  2.4972636 -2.1202635 -3.352407 -3.3452248
## 236 6.493754 2.0219013 -2.0402208  3.2169268 -2.5639499 -3.575551 -4.0302269
## 237 6.447306 1.5303762 -1.8971200  3.1185934 -2.3644605 -3.688879 -4.0302269
## 239 7.012115 1.8527528 -2.3859667  4.6034206 -3.3813948 -4.199705 -4.0302269
## 240 6.089045 1.5303762 -2.1202635  3.1679268 -2.6310892 -4.017384 -4.0302269
## 241 6.018593 1.6263611 -1.6607312  2.7632020 -2.3126354 -3.611918 -3.7735027
## 242 6.862758 1.5303762 -2.6736488  4.0495083 -2.7030627 -3.506558 -1.7796447
## 243 6.739337 0.4005958 -2.0402208  3.6901597 -3.2441936 -3.772261 -4.6299354
## 244 6.693324 2.3713615 -1.7147984  3.2656012 -2.1202635 -3.079114 -3.7735027
## 245 6.405228 1.9805094 -2.3968958  5.3589486 -3.4737681 -4.342806 -6.4515425
## 246 6.684612 3.1563503 -2.3330443  4.7266389 -2.6310892 -3.324236 -2.7140452
## 247 6.248043 2.1820549 -1.8325815  4.2666237 -3.4737681 -3.863233 -4.7806350
## 249 6.580639 1.0483341 -1.4696760  3.7359451 -2.2072749 -3.863233 -5.4023321
## 250 6.608001 1.8088944 -2.3025851  2.8151156 -2.6310892 -3.611918 -4.5582584
## 251 6.363028 1.8527528 -1.8325815  3.1185934 -3.1700857 -4.017384 -4.6299354
## 253 6.385194 1.5303762 -1.8325815  4.9684528 -2.9374634 -3.863233 -2.7140452
## 254 6.376727 1.8527528 -1.8325815  5.3589486 -1.6094379 -3.036554 -2.3643578
## 255 6.690842 1.0483341 -1.4271164  2.3876751 -2.1202635 -3.270169 -2.2640143
## 256 6.317165 0.4005958 -1.7719568  2.3876751 -3.0365543 -4.342806 -6.3770782
## 257 6.424869 1.0483341 -2.3330443  3.1185934 -2.4079456 -3.863233 -5.7266741
## 258 6.864848 2.5152196 -1.8971200  5.7354768 -2.4191189 -3.270169 -3.1639778
## 260 6.553933 2.3713615 -1.7719568  4.9285621 -2.1202635 -3.611918 -6.6066297
## 261 6.620073 1.8527528 -2.3751558  3.4097438 -3.2968374 -4.342806 -7.1287093
## 262 6.269096 2.5502306 -1.6094379  2.4972636 -2.5510465 -4.422849 -5.7266741
## 263 6.439350 1.9805094 -1.2378744  3.2656012 -2.2072749 -3.772261 -1.2879797
## 264 6.892642 2.5848812 -2.0402208  3.8267490 -2.0402208 -3.442019 -2.0824829
## 265 6.182085 1.2195081 -1.9661129  3.0188940 -2.3126354 -3.863233 -6.0977633
## 267 6.568078 2.0219013 -1.4696760  4.8482939 -2.2072749 -3.816713 -2.0000000
## 268 6.530878 1.9805094 -1.2729657  4.2666237 -2.5510465 -3.296837 -3.5470020
## 269 6.787845 1.5303762 -2.2072749  4.1804231 -3.1700857 -4.342806 -5.5058663
## 270 6.525030 2.3713615 -1.5606477  4.9285621 -2.5639499 -4.135167 -1.8490018
## 271 6.674561 1.9805094 -1.5606477  5.7354768 -2.3227878 -3.352407 -2.2640143
## 272 6.656727 2.1820549 -1.5141277  4.4365713 -2.2072749 -4.605170 -4.4216130
## 273 6.582025 2.3713615 -1.3862944  4.7673608 -2.5902672 -3.506558 -3.0000000
## 274 6.652863 1.9805094 -1.6094379  4.0933668 -2.1202635 -3.963316 -5.6696499
## 275 6.975414 1.8527528 -1.7719568  3.1679268 -1.9661129 -3.540459 -4.0302269
## 277 6.419995 2.0219013 -1.9661129  4.6034206 -2.3025851 -3.611918 -1.7139068
## 278 6.593045 2.1030230 -2.2072749  4.4785663 -2.3025851 -3.772261 -3.1639778
## 279 6.469250 1.6263611 -1.8971200  3.4097438 -4.4228486 -4.017384 -3.1639778
## 281 6.697034 2.7200688 -1.7719568  4.7266389 -2.7030627 -3.170086 -3.3452248
## 282 6.734592 1.1637797 -1.8971200  4.3519974 -2.7806209 -3.194183 -3.7735027
## 283 6.632002 3.3286939 -1.5545112  4.6034206 -2.0402208 -3.473768 -4.0302269
## 287 6.366470 1.1637797 -2.1202635  3.6901597 -2.4191189 -3.218876 -3.7735027
## 289 6.120297 2.1030230 -2.5383074  3.5512079 -3.2968374 -4.342806 -5.3029674
## 290 7.047517 2.2591348 -2.1202635  4.9684528 -3.0159350 -3.649659 -3.5470020
## 291 6.317165 1.6263611 -1.4271164  4.6034206 -0.9416085 -2.830218 -0.9814240
## 292 6.464588 1.8527528 -1.8325815  4.9684528 -1.8325815 -3.381395 -4.0302269
## 294 6.975414 1.8527528 -2.4769385  4.6034206 -3.2968374 -3.963316 -6.0977633
## 297 6.045005 2.1427912 -2.0402208  2.3876751 -2.4889147 -4.199705 -4.3887656
## 298 6.450470 0.4005958 -2.5010360  4.3519974 -2.6310892 -3.963316 -5.5058663
## 299 5.826000 2.0219013 -1.4271164  3.7359451 -2.9374634 -3.772261 -5.1156807
## 301 6.625392 1.8527528 -1.8325815  2.1623278 -2.7181005 -4.268698 -4.4549722
## 302 6.481577 2.1030230 -2.8473123  4.0495083 -2.7488722 -3.863233 -4.0302269
## 303 6.755769 1.7643559 -1.9661129  5.3589486 -2.7333680 -4.268698 -5.2547625
## 304 6.519147 1.5303762 -1.6094379  3.6901597 -1.9661129 -3.079114 -3.0000000
## 305 6.445720 1.7643559 -1.3862944  5.3589486 -2.1202635 -3.540459 -3.7735027
## 306 6.356108 1.8527528 -1.7147984  6.0996440 -1.6094379 -3.729701 -4.4216130
## 307 6.699500 2.3343863 -1.8325815  5.7354768 -2.2072749 -3.324236 -3.5470020
## 308 6.716595 1.8527528 -1.7719568  4.1804231 -2.3227878 -3.816713 -6.9442719
## 311 6.376727 1.8527528 -2.1202635  3.6901597 -3.0365543 -3.649659 -3.7735027
## 312 6.527958 1.8527528 -1.6607312  4.3519974 -1.9661129 -3.296837 -3.7735027
## 313 6.255750 1.5303762 -1.7719568  3.5043402 -2.8647040 -4.074542 -5.0710678
## 314 5.958425 1.5303762 -1.5141277  2.4972636 -2.7333680 -3.863233 -6.5280287
## 315 6.481577 1.5303762 -1.9661129  4.1804231 -3.4420194 -3.688879 -3.7735027
## 316 6.089045 0.4005958 -2.0402208  3.0689186 -3.0791139 -3.688879 -5.1611487
## 317 7.146772 1.8088944 -2.2072749  4.2236285 -2.2072749 -3.381395 -4.9421013
## 320 6.184149 1.1637797 -2.3025851  4.6857433 -2.2072749 -3.381395 -4.6299354
## 321 6.687109 0.4005958 -2.6310892  3.6901597 -3.1941832 -4.199705 -4.6666667
## 322 6.661855 1.5303762 -1.8971200  4.6857433 -2.2072749 -3.649659 -0.8867513
## 323 6.440947 1.9805094 -1.3862944  5.3589486 -2.0402208 -3.540459 -3.5470020
## 324 6.393591 1.8527528 -1.6607312  3.5512079 -2.6882476 -3.963316 -6.3045480
## 325 6.543912 1.8959582 -1.7719568  3.8717775 -2.3025851 -3.352407 -4.3245553
## 326 6.075346 2.1030230 -1.9661129  5.3589486 -3.0791139 -3.352407 -3.7735027
## 327 6.493754 2.3343863 -1.1086626  5.3589486 -1.6094379 -3.381395 -0.7472113
## 329 6.648985 2.1427912 -1.8971200  3.4097438 -2.1202635 -3.506558 -4.9843030
## 330 6.699500 2.3343863 -2.5010360  4.4785663 -2.4304185 -3.352407 -1.2025631
## 331 6.375025 1.8959582 -1.6607312  3.2656012 -2.9957323 -3.912023 -6.1649658
## 332 6.218600 1.7643559 -1.2729657  4.2666237 -2.5510465 -3.816713 -3.7735027
## 333 6.472346 2.6867663 -1.3093333  4.9285621 -1.8971200 -3.772261 -5.5058663
##     NT_proBNP Osteopontin       PAI_1     PLGF Pancreatic_polypeptide Protein_S
## 1    4.553877    5.356586  1.00350156 4.442651             0.57878085 -1.784998
## 2    4.219508    6.003887 -0.03059880 4.025352             0.33647224 -2.463991
## 3    4.248495    5.017280  0.43837211 4.510860            -0.89159812 -2.259135
## 5    4.465908    5.693732  0.25230466 4.795791             0.26236426 -1.659842
## 6    4.189655    4.736198  0.43837211 4.394449            -0.47803580 -2.357788
## 7    4.330733    5.318120  0.00000000 3.367296            -0.59783700 -2.259135
## 8    3.828641    4.983607  0.49054798 4.343805            -0.31471074 -2.081112
## 9    5.043425    5.049856 -0.47754210 3.526361            -0.52763274 -2.167156
## 11   4.875197    5.533389  0.25230466 4.356709            -1.27296568 -2.081112
## 12   4.727388    5.099866  0.25230466 3.871201             1.16315081 -2.259135
## 14   4.691348    5.023881  0.32004747 4.330733            -0.37106368 -2.081112
## 16   5.323010    5.690359  0.49054798 4.189655             0.33647224 -2.463991
## 17   4.595120    5.043425  0.32004747 4.219508             0.78845736 -2.000377
## 18   3.931826    4.927254  0.32004747 4.189655            -0.59783700 -2.703458
## 19   4.290459    4.804021  0.53887915 3.784190             0.18232156 -2.357788
## 20   3.784190    4.969813  0.85893499 4.454347            -0.26136476 -1.852753
## 21   5.262690    4.997212 -0.65480247 4.007333             0.69314718 -2.259135
## 22   4.828314    6.308098 -0.15428707 3.258097            -1.23787436 -2.357788
## 23   3.663562    5.351858 -0.04107298 4.262680            -0.82098055 -2.578792
## 24   4.709530    5.743003 -0.21752413 3.465736            -0.04082199 -2.357788
## 25   4.672829    4.653960 -0.72247798 3.433987            -1.27296568 -2.578792
## 26   4.499810    5.568345  0.09396047 3.688879             0.09531018 -2.357788
## 28   4.465908    5.609472 -0.05168998 3.713572             0.40546511 -2.000377
## 29   3.931826    4.615121 -0.87443088 3.912023             0.09531018 -2.839536
## 30   4.317488    5.087596 -0.14221210 3.583519             0.09531018 -2.703458
## 31   4.828314    5.236442  0.09396047 4.488636             0.33647224 -1.852753
## 34   4.770685    4.919981  0.58384004 4.727388             0.91629073 -2.167156
## 35   4.605170    4.744932  0.00000000 4.110874             0.53062825 -2.000377
## 36   4.718499    4.812184  0.00000000 4.499810            -0.75502258 -1.720797
## 37   4.595120    5.826000  0.09396047 3.912023            -0.10536052 -2.463991
## 38   4.605170    4.976734  0.25230466 3.871201            -0.63487827 -2.167156
## 39   4.262680    5.529429  0.09396047 3.332205            -0.71334989 -2.463991
## 40   4.499810    4.890349  0.32004747 3.891820            -0.51082562 -2.167156
## 41   4.983607    5.081404  0.25230466 4.094345             0.18232156 -2.000377
## 42   4.700480    5.262690 -0.11859478 4.025352            -1.27296568 -2.259135
## 43   4.304065    5.323010 -0.28605071 3.806662             0.00000000 -2.357788
## 44   4.736198    5.147494  0.62582535 4.532599             0.47000363 -2.259135
## 45   4.634729    5.192957  0.17742506 4.143135             0.64185389 -1.784998
## 46   4.499810    5.529429  0.17742506 4.382027            -0.26136476 -2.081112
## 47   4.976734    4.727388 -0.11859478 3.828641             0.18232156 -2.463991
## 48   4.919981    5.765191  0.49054798 4.248495             0.69314718 -2.000377
## 50   5.129899    5.214936  0.17742506 4.127134            -0.41551544 -2.081112
## 51   4.795791    5.416100 -0.40885871 3.295837            -0.96758403 -2.357788
## 53   4.127134    5.283204  0.09396047 4.007333            -0.34249031 -2.357788
## 55   4.127134    4.882802  0.09396047 3.871201             0.26236426 -2.357788
## 56   5.062595    5.017280  0.17742506 4.290459            -0.46203546 -1.852753
## 57   4.574711    5.323010  0.49054798 4.499810             1.06471074 -1.924411
## 59   5.036953    5.062595  1.10005082 4.663439            -0.32850407 -2.000377
## 60   4.736198    5.062595 -0.27188464 3.806662             0.95551145 -3.338046
## 61   4.488636    5.023881 -0.25795574 3.931826            -0.09431068 -2.703458
## 62   4.574711    4.653960 -0.55204550 3.496508            -0.73396918 -2.703458
## 63   4.948760    5.493061 -0.01006550 4.077537             0.91629073 -2.578792
## 64   5.181784    5.318120  0.76993928 4.343805             0.83290912 -2.000377
## 65   4.143135    5.117994  0.09396047 3.332205             0.83290912 -2.463991
## 67   4.859812    5.771441 -0.16654597 3.850148            -0.32850407 -2.357788
## 68   3.610918    5.521461 -0.04107298 3.663562             0.26236426 -2.167156
## 69   4.304065    4.718499 -0.11859478 3.555348            -0.16251893 -3.154089
## 70   5.003946    5.105945  0.17742506 3.737670             0.26236426 -2.463991
## 71   4.605170    4.941642  0.73700033 4.369448             0.40546511 -2.000377
## 72   4.634729    5.549076  0.09396047 4.369448            -0.59783700 -1.395242
## 73   4.795791    5.605802  0.58384004 4.615121             0.26236426 -1.924411
## 74   4.406719    4.290459  0.49054798 3.871201             0.53062825 -2.357788
## 75   4.820282    5.288267  0.58384004 4.605170             0.69314718 -1.924411
## 76   4.770685    5.921578  0.73700033 4.043051             1.02961942 -1.720797
## 77   4.727388    5.501258  0.76993928 3.761200             0.83290912 -2.167156
## 78   4.990433    5.921578  0.83076041 4.418841             1.52605630 -1.262002
## 80   4.770685    5.068904  0.17742506 3.891820             0.33647224 -2.259135
## 81   4.859812    5.081404 -0.14221210 4.189655            -0.63487827 -2.259135
## 82   4.406719    5.252273  0.17742506 3.135494             0.09531018 -2.578792
## 83   4.595120    4.770685 -0.16654597 3.970292            -0.40047757 -2.081112
## 84   4.543295    5.332719  0.32004747 3.871201            -0.63487827 -2.357788
## 85   5.468060    5.442418  0.43837211 3.761200            -0.32850407 -2.000377
## 86   5.117994    5.318120  0.25230466 4.317488             1.93152141 -1.546611
## 88   4.727388    5.365976  0.38177502 4.634729             0.47000363 -1.720797
## 90   3.178054    4.234107 -0.63330256 3.555348            -0.40047757 -3.154089
## 93   4.317488    4.779123  0.38177502 3.761200             0.18232156 -2.000377
## 94   5.886104    5.780744  0.80114069 4.844187             1.25276297 -1.220997
## 95   4.762174    4.867534  0.17742506 3.806662             0.47000363 -2.167156
## 96   4.521789    5.384495 -0.23078200 3.713572            -0.79850770 -2.357788
## 97   4.543295    5.288267 -0.05168998 3.218876            -0.67334455 -2.578792
## 98   4.477337    5.087596 -0.51401261 3.496508            -1.02165125 -2.703458
## 99   4.290459    5.840642  0.62582535 4.465908             0.91629073 -2.259135
## 100  4.634729    5.351858  0.25230466 3.828641            -0.23572233 -2.357788
## 103  4.663439    5.407172  0.43837211 4.382027            -0.19845094 -2.000377
## 104  4.430817    4.934474 -0.17899381 3.891820             0.26236426 -2.259135
## 105  4.454347    5.351858 -0.27188464 3.044522             0.26236426 -2.167156
## 107  4.369448    4.976734  0.00000000 3.332205            -0.16251893 -2.463991
## 108  4.682131    5.438079  0.09396047 3.713572            -0.03045921 -2.000377
## 109  4.465908    4.882802 -0.24425708 3.433987            -0.71334989 -3.338046
## 110  4.043051    5.220356 -0.06245326 3.713572            -2.12026354 -2.988944
## 111  4.110874    5.159055 -0.47754210 3.784190            -0.40047757 -2.357788
## 112  5.323010    5.857933  0.17742506 3.951244             1.64865863 -1.852753
## 113  4.787492    5.303305  0.70214496 4.595120             0.69314718 -1.720797
## 114  4.543295    4.595120 -0.24425708 3.526361            -0.73396918 -2.703458
## 115  4.700480    4.912655 -0.13031621 4.465908             1.09861229 -2.000377
## 117  4.812184    5.605802  0.38177502 3.784190             0.18232156 -2.357788
## 118  4.700480    5.662960  0.83076041 3.988984            -1.27296568 -2.259135
## 121  5.062595    5.863631  0.53887915 4.330733             0.18232156 -2.081112
## 123  4.304065    4.795791 -0.42552800 3.526361            -0.23572233 -2.578792
## 124  4.875197    5.010635  0.00000000 4.094345             0.09531018 -2.167156
## 126  4.912655    4.983607 -0.19163579 3.465736            -0.52763274 -2.463991
## 128  4.962845    5.488938  0.95939061 3.828641             0.47000363 -1.720797
## 129  4.624973    4.605170 -0.57168558 3.433987            -0.75502258 -2.578792
## 130  5.159055    5.099866  0.25230466 4.143135             0.58778666 -2.000377
## 131  4.025352    5.129899 -0.34523643 2.995732             0.78845736 -2.578792
## 132  4.442651    5.017280 -0.08443323 3.806662            -0.31471074 -2.167156
## 133  4.672829    4.859812  0.09396047 4.204693            -0.52763274 -1.924411
## 134  4.727388    5.602119  0.43837211 4.204693             1.25276297 -2.000377
## 135  4.584967    5.257495  0.00000000 3.637586            -0.31471074 -2.357788
## 136  4.727388    4.110874  0.43837211 4.094345             0.69314718 -2.578792
## 137  4.488636    4.976734 -0.01006550 4.094345            -0.34249031 -2.703458
## 139  4.543295    5.017280 -0.59176325 3.761200            -0.47803580 -2.839536
## 140  4.406719    5.187386  0.00000000 3.828641             1.19392247 -2.259135
## 141  4.820282    5.509388  0.25230466 3.332205             0.18232156 -2.081112
## 143  4.574711    4.867534  0.00000000 4.317488             0.99325177 -2.081112
## 144  4.276666    5.030438  0.49054798 3.610918             0.58778666 -2.578792
## 145  4.276666    5.187386 -0.63330256 3.295837            -0.86750057 -2.703458
## 146  4.406719    4.836282  0.43837211 3.663562             1.33500107 -1.852753
## 147  4.634729    5.743003  0.43837211 3.496508             0.78845736 -2.081112
## 148  4.543295    5.537334  0.09396047 4.189655             0.00000000 -1.852753
## 149  4.290459    4.897840 -0.27188464 3.761200            -1.10866262 -2.703458
## 152  4.682131    5.634790  0.88578467 4.488636             1.13140211 -2.167156
## 153  4.672829    5.323010  0.00000000 4.158883             0.64185389 -1.443483
## 154  3.806662    5.442418 -0.36070366 3.496508            -0.71334989 -2.578792
## 155  4.442651    5.164786 -0.24425708 3.784190            -0.86750057 -2.259135
## 156  4.369448    5.176150  0.43837211 4.262680            -0.26136476 -1.924411
## 157  4.770685    5.568345  1.00350156 4.304065             0.26236426 -2.167156
## 158  3.828641    4.962845 -0.51401261 4.077537            -0.96758403 -2.578792
## 159  4.859812    4.941642  0.17742506 4.043051             0.18232156 -2.259135
## 160  4.454347    5.564520 -0.07336643 3.828641             0.33647224 -2.081112
## 161  5.081404    5.361292 -0.69936731 4.025352            -1.27296568 -1.924411
## 162  4.406719    6.144186 -0.07336643 3.367296            -0.40047757 -2.357788
## 163  4.262680    5.429346 -0.57168558 2.944439            -0.96758403 -2.703458
## 165  4.499810    5.484797  0.25230466 3.218876            -1.07880966 -2.463991
## 166  4.624973    5.257495 -0.31512364 3.737670            -0.23572233 -2.578792
## 167  4.605170    5.783825 -0.42552800 3.401197            -1.34707365 -2.259135
## 168  4.025352    4.962845 -0.42552800 3.610918            -0.82098055 -2.357788
## 169  4.465908    5.164786  0.00000000 3.737670            -0.47803580 -2.578792
## 170  4.499810    5.159055 -0.10704332 3.737670            -0.61618614 -2.259135
## 171  4.948760    5.187386 -0.45985790 3.367296            -0.09431068 -1.720797
## 172  4.510860    5.318120 -0.65480247 3.526361            -0.16251893 -2.578792
## 174  4.595120    5.176150  0.17742506 4.624973             0.83290912 -1.659842
## 175  4.584967    5.323010  0.58384004 3.850148             0.33647224 -1.852753
## 176  5.003946    4.934474  0.32004747 4.762174             0.64185389 -2.463991
## 177  4.770685    5.375278  0.25230466 4.007333            -0.16251893 -2.259135
## 178  4.682131    4.820282 -0.82104815 3.433987            -0.99425227 -2.703458
## 179  4.983607    4.442651 -0.01006550 4.077537            -0.34249031 -1.493883
## 180  4.727388    5.568345 -0.10704332 4.007333             0.58194114 -2.167156
## 181  4.382027    4.356709  0.17742506 3.610918            -0.47803580 -2.703458
## 182  4.553877    5.187386  0.49054798 3.761200            -0.09431068 -2.357788
## 183  4.406719    4.248495  0.17742506 4.077537            -1.42711636 -2.000377
## 184  4.653960    5.225747  0.38177502 4.143135            -0.31471074 -2.259135
## 185  4.948760    5.278115  0.49054798 4.007333             0.78845736 -2.081112
## 186  4.304065    5.214936 -0.08443323 3.806662             0.64185389 -2.463991
## 189  4.672829    5.710427  0.09396047 2.484907             1.56861592 -2.578792
## 190  4.174387    5.509388  0.32004747 3.583519            -0.40047757 -2.167156
## 191  4.700480    5.332719 -0.63330256 4.077537            -1.96611286 -2.357788
## 192  4.382027    5.899897  0.25230466 3.295837             1.30833282 -2.081112
## 193  5.283204    5.488938  1.00350156 4.836282             0.87546874 -1.852753
## 194  4.787492    4.927254  0.17742506 3.713572            -0.52763274 -2.357788
## 195  4.488636    5.978886  0.43837211 4.234107            -0.46203546 -2.167156
## 197  5.204007    5.313206 -0.25795574 3.713572            -0.23572233 -2.000377
## 198  4.077537    5.288267 -0.82104815 2.995732            -1.23787436 -2.578792
## 200  4.812184    5.370638  0.00000000 3.496508            -0.49429632 -2.703458
## 201  4.204693    4.962845 -0.06245326 4.127134            -0.23572233 -2.357788
## 202  4.204693    5.293305 -0.49558921 3.091042            -0.86750057 -2.988944
## 205  4.369448    5.332719  0.32004747 4.499810            -0.41551544 -2.167156
## 208  4.382027    5.379897 -0.27188464 3.737670             0.00000000 -2.259135
## 210  5.241747    5.278115  0.53887915 4.394449             0.47000363 -2.167156
## 212  4.644391    4.948760 -0.20447735 3.850148             1.93152141 -2.578792
## 213  4.836282    5.181784 -0.08443323 3.737670             1.19392247 -2.081112
## 214  4.304065    5.093750  1.16610855 4.219508             0.87546874 -2.081112
## 215  4.430817    5.676754 -0.39250510 3.218876             0.47000363 -2.463991
## 216  3.663562    5.187386  0.25230466 4.189655            -0.31471074 -2.167156
## 218  4.204693    4.997212  0.66516665 4.234107            -0.01005034 -2.000377
## 219  4.787492    5.214936 -0.15428707 3.610918             0.87546874 -2.463991
## 220  4.897840    5.384495 -0.65480247 3.970292            -0.37106368 -2.463991
## 223  4.828314    5.583496 -0.51401261 3.218876             0.91629073 -2.463991
## 224  4.304065    5.293305  0.00000000 3.496508            -0.73396918 -2.578792
## 225  4.394449    5.826000  0.17742506 3.806662            -0.49429632 -2.259135
## 226  4.442651    5.693732  0.43837211 3.401197             0.18232156 -2.357788
## 227  4.077537    4.969813  0.00000000 4.127134             1.19392247 -1.659842
## 228  4.553877    5.429346 -0.63330256 3.806662            -0.31471074 -2.463991
## 229  4.248495    4.990433 -0.21752413 3.850148            -0.73396918 -2.463991
## 230  4.691348    4.499810  0.43837211 4.276666             1.62924054 -1.924411
## 231  4.595120    4.948760  0.00000000 4.330733            -0.67334455 -2.357788
## 232  4.143135    4.934474  0.00000000 4.077537            -0.40047757 -2.357788
## 233  4.043051    5.030438 -0.24425708 4.127134            -0.63487827 -2.703458
## 234  4.521789    4.890349 -0.61229604 3.828641             0.74193734 -1.720797
## 236  4.382027    5.488938 -0.65480247 3.295837            -0.94160854 -2.703458
## 237  4.574711    5.153292 -0.09565753 4.060443             1.09861229 -1.924411
## 239  4.394449    4.584967  0.09396047 3.806662            -0.16251893 -2.839536
## 240  4.442651    4.795791 -0.42552800 3.784190             0.18232156 -2.463991
## 241  4.859812    5.117994  0.00000000 3.258097            -0.31471074 -2.357788
## 242  3.828641    4.330733  0.25230466 4.208969             0.99325177 -1.262002
## 243  5.075174    4.787492  0.49054798 4.219508            -0.02020271 -2.357788
## 244  5.225747    5.003946  0.85893499 4.060443             0.74193734 -2.081112
## 245  3.871201    4.317488 -0.16654597 3.850148            -0.40047757 -2.988944
## 246  4.510860    5.105945  0.25230466 3.988984             0.58778666 -1.924411
## 247  4.553877    5.049856 -0.57168558 3.828641            -0.16251893 -2.578792
## 249  4.820282    6.102559  0.00000000 3.465736            -1.07880966 -2.259135
## 250  4.234107    5.093750  0.09396047 4.110874            -0.82098055 -2.463991
## 251  4.553877    4.779123 -0.55204550 3.737670             0.09531018 -2.259135
## 253  4.962845    5.135798  0.58384004 4.644391             0.33647224 -2.000377
## 254  5.411646    5.739793  0.09396047 4.025352            -0.59783700 -1.546611
## 255  4.875197    5.170484  0.09396047 4.060443            -0.63487827 -1.852753
## 256  4.859812    5.262690 -0.59176325 3.367296             0.53062825 -2.578792
## 257  4.543295    4.700480 -0.37645673 3.737670            -0.09431068 -2.463991
## 258  4.553877    5.549076  0.09396047 4.317488             0.33647224 -1.784998
## 260  4.204693    4.844187  0.09396047 3.713572            -0.69314718 -2.081112
## 261  4.406719    4.948760 -0.07336643 3.713572             0.00000000 -2.703458
## 262  4.077537    4.672829 -0.53282641 3.713572            -0.69314718 -2.839536
## 263  3.871201    5.645447 -0.15428707 3.871201            -1.13943428 -1.852753
## 264  5.707110    5.267858  0.17742506 4.382027             0.60449978 -1.784998
## 265  3.433987    5.214936  0.09396047 3.784190             0.91629073 -2.463991
## 267  4.882802    5.739793  0.66516665 4.234107             0.83290912 -1.852753
## 268  4.465908    5.525453 -0.47754210 3.555348             0.40546511 -2.357788
## 269  4.624973    4.852030 -0.99084860 3.737670            -1.42711636 -2.578792
## 270  4.025352    5.945421 -0.07336643 3.737670            -0.47803580 -2.357788
## 271  4.488636    5.616771 -0.02026405 5.170484            -0.23572233 -1.852753
## 272  4.564348    4.962845 -0.10704332 3.218876            -0.23572233 -2.259135
## 273  4.043051    5.247024  0.32004747 4.110874             0.09531018 -2.000377
## 274  3.970292    5.147494 -0.03059880 3.555348            -1.13943428 -2.463991
## 275  4.442651    5.370638  0.17742506 3.433987            -0.49429632 -2.357788
## 277  4.143135    5.010635  0.53887915 4.110874             0.53062825 -2.357788
## 278  4.663439    5.225747 -0.10704332 3.871201             0.18232156 -2.081112
## 279  4.753590    4.976734 -0.13031621 3.091042            -0.94160854 -2.703458
## 281  4.276666    5.521461  0.70214496 4.499810             0.18232156 -2.000377
## 282  3.828641    4.644391  0.38177502 3.931826             0.33647224 -2.081112
## 283  4.477337    5.679253  0.43837211 3.850148             0.58778666 -1.852753
## 287  4.454347    5.886104  0.09396047 3.610918             0.26236426 -2.259135
## 289  3.951244    4.912655 -0.23078200 4.158883            -0.59783700 -2.703458
## 290  3.610918    5.147494  0.09396047 4.510860             0.33647224 -2.463991
## 291  4.356709    5.472271  0.70214496 3.850148            -0.10536052 -2.259135
## 292  4.779123    5.556828  0.32004747 3.610918            -0.23572233 -1.546611
## 294  4.553877    5.257495 -0.55204550 4.094345            -1.02165125 -2.703458
## 297  4.564348    4.663439 -0.16654597 3.912023             0.74193734 -2.167156
## 298  3.951244    4.532599  0.00000000 4.510860             0.09531018 -2.167156
## 299  4.927254    5.560682  0.09396047 3.465736            -0.94160854 -2.000377
## 301  4.356709    4.875197 -0.17899381 3.828641            -0.41551544 -2.357788
## 302  4.343805    4.343805 -0.63330256 3.526361            -0.86750057 -2.703458
## 303  4.442651    5.288267 -0.20447735 4.127134            -0.16251893 -2.081112
## 304  5.111988    6.304449  0.62582535 4.304065             0.18232156 -2.167156
## 305  4.682131    5.662960  0.73700033 4.477337             0.09531018 -1.784998
## 306  4.595120    5.267858  0.38177502 4.219508             0.18232156 -1.659842
## 307  4.779123    6.129050  0.85893499 4.110874             0.99325177 -1.924411
## 308  4.595120    5.135798  0.09396047 3.637586             0.99325177 -2.259135
## 311  4.770685    4.828314 -0.11859478 4.174387            -0.41551544 -2.000377
## 312  4.912655    5.164786  0.32004747 4.025352             0.78845736 -2.167156
## 313  4.317488    5.288267  0.17742506 4.127134             0.00000000 -2.259135
## 314  4.709530    5.293305 -0.17899381 3.555348            -0.96758403 -2.578792
## 315  4.418841    5.093750 -0.09565753 3.931826            -0.16251893 -2.167156
## 316  4.290459    5.411646  0.25230466 3.784190             0.09531018 -2.463991
## 317  4.653960    5.081404 -0.04107298 3.295837            -0.34249031 -2.259135
## 320  4.465908    4.304065 -0.28605071 3.784190             0.40546511 -1.659842
## 321  3.784190    4.454347 -0.10704332 4.043051             0.26236426 -2.357788
## 322  4.912655    5.393628  0.49054798 4.454347            -0.52763274 -1.546611
## 323  5.135798    5.236442  0.32004747 4.158883             0.53062825 -2.259135
## 324  4.875197    5.170484  0.25230466 3.663562             0.58778666 -2.357788
## 325  4.488636    4.941642  0.85893499 4.234107             0.78845736 -2.167156
## 326  4.510860    5.288267  0.09396047 3.135494            -0.04082199 -2.463991
## 327  4.890349    5.236442  0.53887915 4.304065             0.78845736 -1.601860
## 329  4.465908    5.416100  0.17742506 4.330733             0.33647224 -2.357788
## 330  4.744932    4.488636  0.09396047 4.317488             0.78845736 -1.720797
## 331  4.304065    4.762174 -0.09565753 3.610918            -0.96758403 -2.578792
## 332  4.189655    4.859812  0.17742506 4.276666            -1.34707365 -2.259135
## 333  4.465908    6.102559 -0.53282641 3.583519            -0.52763274 -2.167156
##     Pulmonary_and_Activation_Regulat   Resistin     S100b Sortilin    TIMP_1
## 1                         -0.8439701 -16.475315 1.5618560 4.908629 15.204651
## 2                         -2.3025851 -16.025283 1.7566212 5.478731 11.266499
## 3                         -1.6607312 -16.475315 1.4357282 3.810182 12.282857
## 5                         -0.5621189 -11.092838 1.3012972 3.402176 13.748016
## 6                         -1.1711830 -11.291369 1.0546073 2.978813 11.266499
## 7                         -1.5606477 -20.660678 1.3012972 4.037285 12.422205
## 8                         -1.1086626  -6.048172 1.0546073 2.665456 14.492423
## 9                         -1.6607312 -28.434991 1.0011977 2.141223 10.000000
## 11                        -1.2039728 -11.291369 1.7566212 4.802628 10.489996
## 12                        -0.8439701 -14.824999 1.5206598 4.093428 10.961481
## 14                        -1.0498221 -16.954608 1.5206598 3.752748 13.491933
## 16                        -1.0216512 -15.202379 1.1570961 4.479850 12.696938
## 17                        -1.0498221 -10.901667 1.5206598 4.093428 10.961481
## 18                        -2.2072749 -24.395099 1.1065417 2.916923 10.328828
## 19                        -0.5798185 -16.475315 0.5751964 2.341451 13.620499
## 20                        -1.1711830 -10.717434 1.5206598 2.728930 13.748016
## 21                        -1.1394343 -14.824999 0.7704814 2.601557 10.165525
## 22                        -1.9661129 -32.139553 1.1570961 4.315608 10.961481
## 23                        -2.0402208 -16.954608 1.7566212 3.040333  9.661904
## 24                        -1.3862944 -22.351393 1.5618560 6.225224 11.266499
## 25                        -2.1202635 -23.322142 1.3471128 3.695039  9.832160
## 26                        -1.8971200 -13.807280 1.5206598 4.855724 10.649111
## 28                        -1.7719568 -19.235033 1.3012972 4.802628 11.416408
## 29                        -1.8325815 -24.395099 0.8309909 2.791992 10.165525
## 30                        -1.8971200 -22.351393 1.0011977 3.461346  9.313708
## 31                        -1.6094379 -18.014017 1.2063562 2.978813 13.099669
## 34                        -1.2039728 -18.014017 0.8895156 2.916923 11.856406
## 35                        -0.9942523 -15.202379 1.4357282 3.695039 10.328828
## 36                        -0.7985077 -14.467762 1.3012972 3.342694 12.696938
## 37                        -1.8971200 -16.025283 1.4786312 4.802628 10.806248
## 38                        -1.5141277 -26.925298 1.0011977 3.520211 12.000000
## 39                        -2.2072749 -23.322142 1.5618560 5.325310 12.142136
## 40                        -2.1202635 -18.601960 1.0546073 3.101492 12.966630
## 41                        -1.1394343  -8.576675 1.3919052 3.924249 13.748016
## 42                        -0.8915981 -16.954608 0.8309909 3.637051 10.961481
## 43                        -0.9942523 -25.588488 1.1065417 3.282892 10.328828
## 44                        -1.8325815  -9.592564 1.1570961 4.093428 13.748016
## 45                        -1.0498221 -12.782746 1.5618560 3.461346 12.142136
## 46                        -1.2729657 -16.954608 1.3471128 4.093428 13.099669
## 47                        -1.2039728 -17.466301 0.5047530 2.472433 10.000000
## 48                        -1.8325815 -18.014017 1.6808260 5.325310 11.856406
## 50                        -1.3862944 -10.202587 1.1065417 5.170380 11.266499
## 51                        -2.2072749 -11.092838 1.1570961 3.578777 10.649111
## 53                        -1.2378744  -3.316155 1.0546073 3.342694 13.620499
## 55                        -1.9661129 -18.601960 1.2543998 3.520211 11.266499
## 56                        -1.6607312 -13.807280 1.0011977 3.867347 14.370706
## 57                        -0.2744368 -16.025283 0.9462067 4.370576 14.613248
## 59                        -1.1711830 -13.807280 1.7935512 3.867347 14.000000
## 60                        -1.5606477 -25.588488 0.9462067 2.275226 12.560220
## 61                        -1.3862944 -18.601960 1.0546073 2.791992 10.165525
## 62                        -1.9661129 -24.395099 1.2543998 2.472433  9.661904
## 63                        -1.1394343 -18.601960 1.3471128 3.402176 11.564660
## 64                        -0.6161861 -12.168957 1.8656036 4.534163 13.099669
## 65                        -1.9661129 -20.660678 1.3919052 4.425322 10.489996
## 67                        -0.6539265 -25.588488 1.3919052 4.425322  9.832160
## 68                        -0.3011051 -20.660678 1.3012972 3.637051 12.560220
## 69                        -1.6094379 -16.475315 0.5751964 2.407182  9.489125
## 70                        -1.8971200 -19.918999 1.2063562 3.924249 10.328828
## 71                        -1.4696760 -18.014017 1.1570961 3.867347 12.000000
## 72                        -0.5447272 -11.712400 1.4786312 3.980894 16.439089
## 73                        -1.5141277  -9.737717 1.4786312 3.924249 12.560220
## 74                        -1.6094379 -15.601770 1.0546073 1.866476 10.489996
## 75                        -0.7765288 -21.468210 1.4786312 2.728930 15.320508
## 76                        -1.4696760  -3.509845 1.7190552 5.427755 14.970563
## 77                        -1.5606477 -12.931637 1.9353985 4.315608 13.874508
## 78                        -0.7985077 -12.931637 1.2543998 4.695848 14.970563
## 80                        -1.5141277 -18.601960 1.5206598 4.315608 10.489996
## 81                        -1.2378744 -25.588488 1.1065417 4.370576 10.806248
## 82                        -2.2072749 -20.660678 1.8656036 4.315608 11.266499
## 83                        -0.4942963 -13.807280 1.2543998 3.867347 11.266499
## 84                        -1.3862944 -20.660678 1.2543998 3.637051 10.649111
## 85                        -0.9416085 -19.235033 1.6022588 5.170380 13.491933
## 86                        -1.2039728  -9.737717 1.5618560 4.479850 14.124515
## 88                        -0.7550226 -11.712400 1.3919052 3.520211 14.000000
## 90                        -0.8439701 -26.925298 0.3540404 1.653813  8.954451
## 93                        -1.5606477 -11.935945 1.3012972 2.978813 13.620499
## 94                        -0.5108256  -9.887603 1.7190552 4.204987 18.880613
## 95                        -1.9661129 -18.014017 1.6022588 3.867347  9.661904
## 96                        -1.7719568 -18.601960 1.3919052 4.749337 11.416408
## 97                        -2.5010360 -19.918999 0.9462067 4.425322 10.328828
## 98                        -1.8971200 -22.351393 0.7704814 3.040333  9.489125
## 99                        -1.2729657 -11.935945 1.2543998 3.402176 14.733201
## 100                       -1.7719568 -24.395099 1.3012972 5.066223 11.114877
## 103                       -1.6607312 -12.168957 1.2543998 3.810182 13.362291
## 104                       -1.6607312 -23.322142 1.3012972 3.040333 12.696938
## 105                       -2.5133061 -28.434991 1.5206598 4.908629 11.711309
## 107                       -1.2729657 -19.235033 1.2063562 4.479850 11.266499
## 108                       -1.8325815 -18.014017 1.5206598 4.908629 12.142136
## 109                       -2.1202635 -21.468210 1.0546073 3.461346 10.000000
## 110                       -1.6094379 -19.918999 1.0546073 3.402176  9.313708
## 111                       -2.0402208 -19.918999 1.2063562 3.520211 11.114877
## 112                       -0.6161861 -11.497723 1.6022588 4.479850 12.282857
## 113                       -1.3862944 -13.209714 1.6419042 4.908629 12.696938
## 114                       -1.5141277 -25.588488 0.8309909 2.665456  8.770330
## 115                       -0.7133499 -14.824999 1.1065417 2.854653 11.856406
## 117                       -2.0402208 -12.931637 1.6022588 5.427755 10.961481
## 118                       -1.7719568 -14.129014 1.5618560 5.118391 14.733201
## 121                       -1.2039728 -13.501240 1.3012972 4.908629 14.970563
## 123                       -1.6094379 -32.139553 0.5047530 1.653813 10.165525
## 124                       -1.7147984 -18.014017 0.7704814 2.472433 12.832397
## 126                       -1.6094379 -20.660678 0.5751964 2.854653 10.000000
## 128                       -1.5606477 -16.475315 1.5618560 4.204987 17.390719
## 129                       -1.3470736 -22.351393 0.8309909 3.162299 10.000000
## 130                       -1.3093333 -11.092838 1.1570961 3.867347 11.114877
## 131                       -1.3862944 -26.925298 1.3919052 3.637051 10.328828
## 132                       -1.5141277 -12.931637 1.1065417 2.791992 11.266499
## 133                       -1.7147984 -12.168957 1.5206598 4.260413 12.422205
## 134                       -0.7985077 -10.901667 1.7935512 5.118391 12.282857
## 135                       -1.7719568 -14.129014 1.0546073 3.695039 12.000000
## 136                       -1.7719568  -3.509845 0.9462067 2.728930 12.696938
## 137                       -1.8325815 -21.468210 1.3471128 3.752748 10.489996
## 139                       -1.0498221 -20.660678 1.0546073 3.752748 10.165525
## 140                       -1.9661129  -9.737717 1.2543998 3.695039 11.114877
## 141                       -1.8971200 -18.014017 1.2543998 5.681052 11.856406
## 143                       -1.1086626 -21.468210 0.6427959 2.208489 11.856406
## 144                       -1.4696760 -18.601960 1.2063562 3.637051 11.114877
## 145                       -2.1202635 -28.434991 0.8895156 4.260413 10.165525
## 146                       -1.3862944 -13.209714 1.2063562 3.695039 13.099669
## 147                       -1.9661129  -2.239355 1.4786312 5.478731 11.856406
## 148                       -0.5447272 -16.025283 1.8298706 3.867347 14.733201
## 149                       -1.3093333 -23.322142 0.8309909 3.924249 11.416408
## 152                       -0.9675840 -15.601770 1.3919052 5.478731 14.370706
## 153                       -0.8209806 -19.235033 2.3725662 4.749337 13.231546
## 154                       -1.6607312 -22.351393 1.3919052 3.980894 10.489996
## 155                       -1.6607312 -20.660678 1.2543998 4.260413  9.313708
## 156                       -1.2729657 -15.601770 1.6808260 4.037285 14.000000
## 157                       -1.5141277 -13.807280 1.0546073 4.370576 14.733201
## 158                       -2.0402208 -20.660678 1.1065417 3.695039 10.489996
## 159                       -1.3862944 -20.460441 1.1065417 3.637051  9.661904
## 160                       -1.8971200  -8.047964 1.7935512 6.225224 12.142136
## 161                       -1.0216512 -10.368242 1.3012972 4.149327 10.489996
## 162                       -1.8325815 -20.660678 1.4357282 3.810182 10.806248
## 163                       -2.3025851 -25.588488 1.3012972 4.093428  8.583005
## 165                       -2.3025851 -19.235033 1.3919052 3.867347 11.856406
## 166                       -1.7719568 -28.434991 1.2063562 4.315608  9.313708
## 167                       -1.3470736 -12.666051 1.6022588 5.222195 11.564660
## 168                       -1.2039728 -18.601960 1.5618560 3.924249 11.856406
## 169                       -1.3470736 -20.660678 0.6427959 4.149327  9.489125
## 170                       -1.5606477 -15.601770 1.5618560 4.315608  9.832160
## 171                       -1.0498221 -10.717434 1.5206598 4.425322 11.266499
## 172                       -1.7719568 -22.351393 0.8309909 3.695039  9.135529
## 174                       -0.7339692 -10.539746 1.3012972 4.370576 14.000000
## 175                       -1.5141277 -10.539746 1.3919052 3.810182 14.613248
## 176                       -0.7985077 -16.954608 0.9462067 3.578777 11.564660
## 177                       -1.5606477 -19.918999 0.9462067 3.282892 11.856406
## 178                       -1.1711830 -19.235033 0.6427959 2.791992  8.392305
## 179                       -1.3862944  -6.464363 1.7190552 4.204987 14.492423
## 180                       -1.2729657 -14.824999 1.2543998 3.924249 11.266499
## 181                       -1.0216512 -26.925298 0.7078153 2.275226 11.564660
## 182                       -1.5141277 -25.588488 0.9462067 3.924249 11.564660
## 183                       -2.4304185 -18.014017 0.6427959 2.005028 11.266499
## 184                       -1.2729657 -16.025283 1.3012972 3.752748 12.560220
## 185                       -0.7133499 -13.209714 1.3919052 3.461346 12.696938
## 186                       -1.6607312 -21.468210 1.3471128 3.867347  9.489125
## 189                       -2.0402208 -18.601960 0.9462067 4.479850  9.661904
## 190                       -0.9942523 -23.322142 1.3471128 3.867347 12.282857
## 191                       -1.7719568 -23.322142 1.4786312 3.282892 11.114877
## 192                       -1.9661129 -19.918999 1.8656036 4.037285 13.362291
## 193                       -1.3862944 -14.824999 1.7190552 4.961345 15.320508
## 194                       -1.5141277 -17.466301 0.9462067 3.402176 12.000000
## 195                       -1.8325815 -21.468210 1.7190552 5.731246 12.000000
## 197                       -1.5606477 -11.935945 1.3012972 5.630705 11.266499
## 198                       -1.8971200 -23.322142 0.6427959 3.162299  9.489125
## 200                       -2.3538784 -19.918999 1.9695015 5.222195 10.806248
## 201                       -0.8915981 -22.351393 0.9462067 2.916923 12.560220
## 202                       -1.6094379 -34.966595 0.9462067 3.867347  9.832160
## 205                       -1.6607312 -15.601770 1.6419042 4.315608 11.114877
## 208                       -1.5141277 -26.925298 1.1570961 4.315608 12.282857
## 210                       -1.8325815  -2.450735 1.6808260 4.749337 13.099669
## 212                       -2.2072749 -22.351393 1.4357282 3.924249 10.489996
## 213                       -1.5141277 -18.014017 1.4357282 4.149327  9.661904
## 214                       -1.1394343 -10.539746 0.7704814 3.101492 16.547237
## 215                       -1.2378744 -16.475315 1.1065417 3.695039  9.832160
## 216                       -1.3470736 -12.931637 1.6022588 3.222763 10.649111
## 218                       -0.8675006 -23.322142 1.3919052 3.461346 13.362291
## 219                       -1.3862944 -19.235033 0.8309909 3.162299 10.806248
## 220                       -1.4271164 -30.156007 0.6427959 4.260413 10.489996
## 223                       -1.4696760 -14.467762 1.6808260 4.149327 11.564660
## 224                       -1.9661129 -13.807280 1.0546073 4.204987 11.266499
## 225                       -2.3859667 -25.588488 1.9007725 5.325310 12.000000
## 226                       -1.3862944 -12.931637 1.6022588 4.642159 13.231546
## 227                       -1.7719568 -16.475315 1.5618560 3.461346 11.711309
## 228                       -2.0402208 -13.501240 0.8309909 3.342694  9.661904
## 229                       -1.8325815 -25.588488 1.0011977 3.402176  9.489125
## 230                       -0.7133499 -11.935945 0.8309909 2.791992 12.282857
## 231                       -1.7719568 -16.025283 1.5206598 3.461346  1.741657
## 232                       -1.8325815 -26.925298 0.9462067 4.149327 11.856406
## 233                       -1.6094379 -21.468210 0.8895156 2.978813 10.649111
## 234                       -2.0402208 -14.467762 1.1065417 3.578777 10.328828
## 236                       -2.2072749 -23.322142 1.0546073 3.752748  8.954451
## 237                       -1.4271164 -14.467762 1.4357282 5.118391 11.856406
## 239                       -1.4271164 -18.601960 0.1873999 1.725381  9.661904
## 240                       -1.4696760 -14.129014 0.9462067 3.402176 10.165525
## 241                       -2.1202635 -21.468210 1.1065417 4.749337 10.000000
## 242                       -1.8325815  -9.592564 1.4357282 2.728930 12.422205
## 243                       -1.0498221 -21.468210 1.1570961 4.315608 11.711309
## 244                       -1.5141277 -14.824999 1.0546073 3.461346 12.000000
## 245                       -1.0788097 -13.501240 1.0546073 2.341451  9.135529
## 246                       -1.1086626 -13.209714 0.9462067 3.282892 13.620499
## 247                       -1.5606477 -17.466301 0.7704814 3.222763  9.832160
## 249                       -1.7147984 -16.954608 1.8298706 5.731246 11.114877
## 250                       -1.7147984 -17.466301 1.6022588 3.461346 11.856406
## 251                       -1.7719568 -24.395099 1.1065417 2.854653  9.832160
## 253                       -0.8915981 -16.025283 1.3471128 3.810182 15.888544
## 254                       -1.3862944 -12.931637 1.7935512 4.425322 12.966630
## 255                       -1.4271164 -18.601960 1.3471128 4.802628 12.832397
## 256                       -1.9661129 -25.588488 1.1570961 3.980894  8.954451
## 257                       -1.4696760 -25.588488 1.0546073 3.342694  9.135529
## 258                       -0.6539265  -4.873381 1.6022588 4.370576 13.099669
## 260                       -1.1711830 -23.322142 1.3471128 4.425322 12.142136
## 261                       -1.6607312 -16.954608 1.0011977 3.637051  8.954451
## 262                       -2.2072749 -23.322142 1.0011977 3.101492  9.135529
## 263                       -2.0402208 -15.202379 1.1570961 3.980894 14.492423
## 264                       -1.0788097 -11.291369 1.5618560 4.479850 14.248077
## 265                       -1.7147984 -23.322142 0.9462067 3.101492 12.696938
## 267                       -1.7147984 -10.539746 1.8298706 5.013876 13.099669
## 268                       -1.6094379 -15.601770 1.3919052 4.479850 10.165525
## 269                       -1.3470736 -28.434991 0.9462067 2.472433  9.489125
## 270                       -1.7147984 -14.824999 0.7704814 3.578777 10.649111
## 271                       -0.7550226 -12.666051 1.4786312 4.093428 17.899749
## 272                       -1.5606477 -15.601770 1.4357282 3.980894 10.328828
## 273                       -1.1086626 -12.666051 1.2543998 3.980894 12.560220
## 274                       -1.8325815 -28.434991 0.9462067 3.461346 11.416408
## 275                       -1.6094379 -28.434991 1.7935512 4.695848 13.231546
## 277                       -1.4271164 -14.129014 1.2543998 4.749337 12.142136
## 278                       -1.7147984 -14.467762 0.9462067 3.637051 12.560220
## 279                       -1.6094379 -16.954608 1.4357282 3.924249 10.328828
## 281                       -1.3862944  -3.723928 1.3919052 5.170380 12.282857
## 282                       -1.5141277 -20.660678 1.1570961 2.791992 13.491933
## 283                       -1.7719568  -7.247686 1.4786312 5.170380 15.088007
## 287                       -2.2072749 -18.014017 1.3919052 4.370576 11.266499
## 289                       -1.9661129 -19.235033 0.7078153 2.665456  9.489125
## 290                       -1.8971200 -16.025283 1.0011977 2.728930 11.114877
## 291                       -0.7133499 -20.660678 1.1570961 4.204987 14.370706
## 292                       -1.4271164 -26.925298 1.1065417 4.749337 13.362291
## 294                       -1.0216512 -22.293116 1.0011977 2.854653 10.165525
## 297                       -1.7147984 -16.475315 0.9462067 3.342694 10.806248
## 298                       -1.3862944 -22.351393 0.5047530 2.341451 12.282857
## 299                       -1.6607312 -26.925298 0.9462067 3.578777 10.961481
## 301                       -1.8971200 -19.235033 0.8309909 2.916923  9.832160
## 302                       -1.3862944 -19.235033 0.9462067 2.073409  9.489125
## 303                       -1.2039728 -18.014017 1.3012972 3.578777 11.564660
## 304                       -1.9661129 -22.351393 1.9695015 5.478731 11.564660
## 305                       -1.5141277 -16.954608 1.6419042 5.066223 14.970563
## 306                       -0.5447272 -12.412086 1.6419042 4.037285 13.874508
## 307                       -1.4696760 -11.497723 1.9695015 5.118391 16.110770
## 308                       -1.7147984 -13.501240 1.5206598 4.855724 12.142136
## 311                       -1.1394343 -16.954608 1.0546073 3.461346 11.114877
## 312                       -1.3470736 -18.601960 1.4357282 4.425322 12.422205
## 313                       -1.9661129 -19.235033 1.2543998 3.637051 12.000000
## 314                       -2.3434071 -26.925298 0.8895156 4.370576 11.416408
## 315                       -1.2729657 -16.475315 1.3471128 3.924249 12.142136
## 316                       -2.1202635 -26.925298 1.1570961 3.695039 11.711309
## 317                       -1.7719568 -21.468210 1.0546073 3.402176 12.000000
## 320                       -1.0788097 -13.501240 1.0546073 3.282892 11.856406
## 321                       -1.8971200 -14.467762 1.1570961 2.854653 11.114877
## 322                       -0.9942523  -8.930136 1.8656036 4.749337 10.961481
## 323                       -1.2729657 -12.666051 1.0011977 3.222763 12.696938
## 324                       -1.8971200 -16.954608 1.2063562 3.637051 11.416408
## 325                       -1.7147984 -23.322142 0.9462067 3.222763 14.733201
## 326                       -1.5141277 -13.501240 1.3012972 3.637051 11.711309
## 327                       -0.8915981 -14.467762 1.3471128 3.752748 12.142136
## 329                       -1.4271164 -28.434991 0.8895156 4.037285 10.961481
## 330                       -1.5141277 -14.824999 1.2063562 3.402176 10.961481
## 331                       -1.7147984 -20.660678 1.0546073 3.752748 10.165525
## 332                       -1.0216512 -18.601960 0.8895156 3.222763 12.560220
## 333                       -1.8971200 -19.918999 1.9007725 5.273838 11.564660
##         TNF_RII    TRAIL_R3 Thrombomodulin Thrombopoietin
## 1   -0.06187540 -0.18290044     -1.3405665     -0.1026334
## 2   -0.32850407 -0.50074709     -1.6752524     -0.6733501
## 3   -0.41551544 -0.92403445     -1.5342758     -0.9229670
## 5   -0.34249031 -0.85825911     -1.2107086      0.0976177
## 6   -0.94160854 -0.73800921     -1.4516659     -1.0000000
## 7   -0.77652879 -0.62997381     -1.6752524     -0.3386752
## 8   -0.91629073 -0.56347899     -1.2107086     -0.6583592
## 9   -0.94160854 -0.75712204     -1.4130880     -0.8864471
## 11  -0.51082562 -0.37116408     -1.5342758     -0.8000000
## 12  -0.71334989 -0.68264012     -1.2733760     -0.5577795
## 14  -0.61618614 -0.54746226     -1.2733760     -1.0834849
## 16  -0.28768207 -0.48559774     -1.3761017     -0.8000000
## 17  -0.69314718  0.00000000     -1.4130880     -0.6885123
## 18  -0.77652879 -0.75712204     -2.0376622     -1.0619168
## 19  -0.79850770 -0.41274719     -1.7844998     -0.9801961
## 20  -0.75502258 -0.85825911     -1.1238408     -1.2254033
## 21  -0.65392647  0.26936976     -1.7280531     -1.1282202
## 22  -0.04082199 -0.20634242     -1.5787229     -0.5857864
## 23  -0.59783700 -0.56347899     -1.6752524     -1.0834849
## 24  -0.43078292 -0.25465110     -1.3405665     -0.7193752
## 25  -0.82098055 -0.70078093     -1.5787229     -1.0619168
## 26  -0.43078292 -0.37116408     -1.4516659     -0.8000000
## 28  -0.22314355 -0.70078093     -1.5787229     -0.8000000
## 29  -1.02165125 -0.83723396     -1.6256074     -0.5577795
## 30  -0.89159812 -0.94693458     -1.7844998     -0.6435340
## 31  -0.73396918 -0.62997381     -1.4130880     -0.4900331
## 34  -0.65392647 -0.13734056     -1.2415199     -1.5395654
## 35  -0.89159812 -0.64724718     -1.2733760     -0.7038519
## 36  -0.67334455 -0.68264012     -1.1238408     -0.4508067
## 37  -0.30110509 -0.34425042     -1.5787229     -0.6885123
## 38  -0.65392647 -0.56347899     -1.3405665     -0.7038519
## 39  -0.46203546 -0.57973042     -1.4516659     -0.7038519
## 40  -0.44628710 -0.47064906     -1.3761017     -0.9607695
## 41  -0.75502258 -0.47064906     -1.3405665     -0.8000000
## 42  -0.69314718 -0.73800921     -1.4516659     -1.1753789
## 43  -0.86750057 -0.48559774     -1.6752524     -0.7350889
## 44  -0.24846136 -0.64724718     -1.2107086     -0.7038519
## 45  -0.02020271 -0.21823750     -1.5342758     -0.7193752
## 46  -0.38566248 -0.57973042     -1.4516659     -0.9607695
## 47  -0.79850770 -0.64724718     -1.5787229     -1.0202041
## 48  -0.27443685 -0.13734056     -1.5787229     -0.3629294
## 50  -0.54472718  0.00000000     -1.1808680     -0.8338096
## 51  -0.38566248 -0.73800921     -1.6752524     -0.7510004
## 53  -0.71334989 -0.53167272     -1.4516659     -0.7834475
## 55  -0.63487827 -0.47064906     -1.5342758     -0.9607695
## 56  -0.63487827 -0.37116408     -1.1238408     -0.8864471
## 57  -0.31471074 -0.27956244     -1.5787229     -0.4637709
## 59  -0.30110509 -0.56347899     -1.3761017     -1.0202041
## 60  -0.59783700 -0.53167272     -1.9461072     -0.7834475
## 61  -1.04982212 -0.79641472     -1.8452133     -0.8510875
## 62  -1.20397280 -1.09654116     -1.8708654     -0.2111456
## 63  -0.27443685 -0.33102365     -1.4130880     -0.8864471
## 64  -0.44628710 -0.44133043     -1.2733760     -0.8864471
## 65  -0.73396918 -0.68264012     -1.7280531     -0.9607695
## 67  -0.18632958 -0.56347899     -1.4130880     -1.1753789
## 68  -0.51082562 -0.31794508     -1.2733760     -0.5303062
## 69  -1.04982212 -1.09654116     -1.9248483     -0.6733501
## 70  -0.61618614 -0.39871863     -1.5342758     -0.8510875
## 71  -0.46203546 -0.61296931     -1.4919984     -0.9607695
## 72   0.33647224 -0.21823750     -1.3761017     -0.3147700
## 73  -0.03045921 -0.30501103     -1.3063602     -0.8686292
## 74  -1.34707365 -0.90163769     -1.6752524     -1.0619168
## 75  -0.67334455 -0.77658561     -1.3063602     -0.6288691
## 76   0.00000000 -0.30501103     -1.2733760     -0.8864471
## 77  -0.41551544 -0.31794508     -1.2107086     -0.6583592
## 78  -0.06187540 -0.10425819     -1.3405665     -0.7193752
## 80  -0.65392647 -0.47064906     -1.6256074     -0.7350889
## 81  -0.59783700 -0.62997381     -1.3063602     -0.6288691
## 82  -0.44628710 -0.68264012     -1.6256074     -0.8000000
## 83  -0.82098055 -0.44133043     -1.2415199     -0.6583592
## 84  -0.57981850 -0.54746226     -1.3405665     -0.8864471
## 85  -0.31471074 -0.37116408     -1.3063602     -0.6288691
## 86  -0.26136476 -0.30501103     -1.2415199     -0.2679492
## 88  -0.30110509 -0.17134851     -1.3405665     -0.8510875
## 90  -1.38629436 -0.81662520     -2.0295903     -0.9045549
## 93  -0.24846136 -0.44133043     -1.4919984     -0.8510875
## 94   0.47000363  0.00000000     -0.8166252     -0.7510004
## 95  -0.63487827 -0.54746226     -1.4130880     -0.5577795
## 96  -0.63487827 -0.54746226     -1.5787229     -0.8000000
## 97  -0.51082562 -0.71923319     -1.5787229     -1.1282202
## 98  -1.10866262 -0.92403445     -1.9109957     -0.7350889
## 99  -0.19845094 -0.57973042     -1.6256074     -0.6288691
## 100 -0.49429632 -0.48559774     -1.3063602     -1.1753789
## 103 -0.05129329 -0.38485910     -1.4516659     -0.5717143
## 104 -0.44628710 -0.45589516     -1.5787229     -0.6583592
## 105 -0.59783700 -0.75712204     -1.5787229     -0.7834475
## 107 -0.59783700 -0.47064906     -1.6752524     -0.4379501
## 108 -0.51082562 -0.61296931     -1.4919984     -0.2911993
## 109 -0.94160854 -1.21070858     -1.5787229     -0.9607695
## 110 -0.89159812 -0.75712204     -1.9109957     -0.8510875
## 111 -0.77652879 -0.75712204     -1.6752524     -0.6583592
## 112 -0.27443685 -0.27956244     -1.4516659     -0.3147700
## 113  0.00000000 -0.42694948     -1.3405665     -0.4251984
## 114 -1.07880966 -0.83723396     -1.6752524     -1.2788897
## 115 -0.71334989 -0.42694948     -1.0965412     -1.0202041
## 117 -0.47803580 -0.42694948     -1.7280531     -0.5577795
## 118 -0.18632958 -0.42694948     -1.4516659     -0.8864471
## 121  0.09531018 -0.13734056     -1.2415199     -0.8338096
## 123 -1.13943428 -0.99435191     -1.8708654     -0.6733501
## 124 -0.44628710 -0.20634242     -1.4919984     -0.7038519
## 126 -0.84397007 -0.38485910     -1.4130880     -0.7038519
## 128 -0.43078292 -0.27956244     -1.1808680     -0.8338096
## 129 -1.23787436 -0.70078093     -1.4130880     -1.3071797
## 130 -0.44628710 -0.39871863     -1.3761017     -0.8864471
## 131 -0.94160854 -0.87972006     -1.7280531     -0.7038519
## 132 -0.67334455 -0.62997381     -1.4919984     -0.5577795
## 133 -0.57981850 -0.92403445     -1.4130880     -0.6583592
## 134 -0.44628710 -0.31794508     -1.3405665     -0.8864471
## 135 -0.52763274 -0.53167272     -1.7844998     -0.7350889
## 136 -0.65392647 -0.38485910     -1.4516659     -0.5857864
## 137 -1.13943428 -1.04412698     -1.7280531     -1.0202041
## 139 -0.86750057 -0.47064906     -1.7844998     -1.0000000
## 140 -0.69314718 -0.48559774     -1.5342758     -0.9416995
## 141 -0.41551544 -0.34425042     -1.3063602     -1.0000000
## 143 -1.02165125 -0.61296931     -1.4919984     -0.5577795
## 144 -0.52763274 -0.64724718     -1.6752524     -1.0000000
## 145 -0.89159812 -0.39871863     -1.7844998     -0.7350889
## 146 -0.17435339 -0.53167272     -1.3063602     -0.6583592
## 147 -0.15082289 -0.47064906     -1.3761017     -0.8000000
## 148 -0.52763274 -0.94693458     -1.2415199     -0.2564404
## 149 -0.71334989 -0.97036428     -1.5787229     -0.7038519
## 152  0.00000000 -0.18290044     -1.2415199     -0.2679492
## 153 -0.56211892 -0.41274719     -1.0441270     -0.7193752
## 154 -0.86750057 -0.85825911     -1.9461072     -1.0834849
## 155 -0.79850770 -0.75712204     -1.7280531     -0.7350889
## 156 -0.41551544 -0.61296931     -1.2107086     -0.6733501
## 157 -0.67334455 -0.42694948     -1.4919984     -0.4125492
## 158 -0.79850770 -0.81662520     -1.7280531     -1.0834849
## 159 -0.91629073 -0.75712204     -1.3761017     -0.8864471
## 160 -0.26136476 -0.59622443     -1.3405665     -0.5717143
## 161 -0.43078292 -0.30501103     -1.3405665     -1.1753789
## 162 -0.38566248 -0.42694948     -1.6256074     -0.6583592
## 163 -0.94160854 -0.75712204     -1.6752524     -0.8510875
## 165 -0.40047757 -0.44133043     -1.7280531     -1.0000000
## 166 -0.75502258 -0.79641472     -1.6256074     -1.0202041
## 167 -0.26136476 -0.30501103     -1.5342758     -0.5303062
## 168 -0.38566248 -0.62997381     -1.3761017     -0.7038519
## 169 -0.86750057 -0.51610326     -1.6256074     -0.8000000
## 170 -0.75502258 -0.47064906     -1.5342758     -0.9416995
## 171 -0.59783700 -0.38485910     -1.0189283     -0.7038519
## 172 -1.10866262 -0.62997381     -1.7844998     -0.7350889
## 174 -0.51082562 -0.51610326     -1.1238408     -0.8000000
## 175 -0.24846136 -0.31794508     -1.4919984     -0.8864471
## 176 -0.69314718 -0.56347899     -1.3063602     -0.8864471
## 177 -0.54472718 -0.68264012     -1.7280531     -0.3147700
## 178 -1.30933332 -0.51610326     -1.4130880     -1.1753789
## 179 -0.26136476 -0.54746226     -1.0965412     -0.1026334
## 180  0.09531018 -0.21823750     -1.5342758     -0.7193752
## 181 -0.91629073 -0.97036428     -1.9041616     -0.7510004
## 182 -0.75502258 -0.61296931     -1.7280531     -0.6435340
## 183 -0.86750057 -0.68264012     -1.5342758     -0.5577795
## 184 -0.63487827 -0.37116408     -1.4130880     -0.5303062
## 185 -0.56211892 -0.15990607     -1.3405665     -1.0202041
## 186 -0.82098055 -0.30501103     -1.6256074     -1.0000000
## 189 -0.52763274 -0.68264012     -1.7280531     -1.0619168
## 190 -0.35667494 -0.47064906     -1.5342758     -0.6583592
## 191 -0.69314718 -0.68264012     -1.6256074     -0.8510875
## 192 -0.15082289 -0.38485910     -1.2733760     -0.8000000
## 193 -0.32850407 -0.47064906     -1.3761017     -0.6288691
## 194 -0.75502258 -0.70078093     -1.4130880     -0.5303062
## 195 -0.24846136 -0.47064906     -1.3405665     -0.7834475
## 197 -0.24846136 -0.06149412     -1.3063602     -0.6583592
## 198 -0.91629073 -0.79641472     -1.6752524     -0.6583592
## 200 -0.59783700 -0.79641472     -1.8452133     -0.6435340
## 201 -0.77652879 -0.38485910     -1.4919984     -0.7510004
## 202 -1.13943428 -0.79641472     -1.9754065     -0.8510875
## 205 -0.73396918 -0.59622443     -1.2733760     -0.9607695
## 208 -0.54472718 -0.62997381     -1.4516659     -0.6288691
## 210 -0.28768207 -0.21823750     -1.2733760     -1.0000000
## 212 -0.89159812 -0.71923319     -1.6256074     -1.1753789
## 213 -0.46203546 -0.41274719     -1.4516659     -0.8000000
## 214 -0.32850407 -0.71923319     -1.7280531     -0.8686292
## 215 -0.75502258 -0.68264012     -1.8452133     -0.7350889
## 216 -1.07880966 -0.38485910     -1.5342758     -1.0619168
## 218 -0.82098055 -0.51610326     -1.5342758     -0.4125492
## 219 -1.02165125 -0.68264012     -1.5787229     -1.1753789
## 220 -0.96758403 -0.71923319     -1.3405665     -0.8864471
## 223 -0.59783700 -0.62997381     -1.6256074     -0.3875485
## 224 -0.89159812 -0.70078093     -1.8708654     -0.5577795
## 225 -0.26136476 -0.34425042     -1.5342758     -0.7350889
## 226  0.09531018 -0.41274719     -1.9389551     -0.6583592
## 227 -0.63487827 -0.50074709     -1.3405665     -0.3875485
## 228 -0.94160854 -0.71923319     -1.9606157     -0.5303062
## 229 -1.07880966 -0.57973042     -1.7844998     -1.0000000
## 230 -0.26136476 -0.42694948     -1.4130880     -0.8000000
## 231 -0.65392647 -0.51610326     -1.3761017     -0.8864471
## 232 -0.73396918 -0.42694948     -1.4919984     -0.8510875
## 233 -0.96758403 -0.90163769     -1.6752524     -0.8510875
## 234 -0.79850770 -0.56347899     -1.3761017     -0.7193752
## 236 -0.84397007 -0.56347899     -1.6256074     -0.8864471
## 237 -0.67334455 -0.51610326     -1.4130880     -0.8000000
## 239 -0.99425227 -0.77658561     -1.9248483     -0.3875485
## 240 -0.96758403 -0.83723396     -1.9248483     -0.4900331
## 241 -0.65392647 -0.54746226     -1.5342758     -0.5857864
## 242 -0.44628710 -0.35762924     -1.2415199     -0.2000000
## 243 -1.07880966 -0.75712204     -1.4130880     -0.8338096
## 244 -0.30110509 -0.41274719     -1.2733760     -1.0202041
## 245 -1.38629436 -0.77658561     -1.9041616     -0.9045549
## 246 -0.51082562 -0.41274719     -1.5787229     -0.3386752
## 247 -1.07880966 -0.70078093     -1.6256074     -0.8510875
## 249 -0.03045921 -0.15990607     -1.6256074     -0.8000000
## 250 -0.51082562 -0.50074709     -1.8452133     -1.0834849
## 251 -0.82098055 -0.68264012     -1.4919984     -0.7510004
## 253 -0.41551544 -0.42694948     -1.1519318     -0.6288691
## 254  0.26236426  0.18568645     -1.2733760     -0.4900331
## 255 -0.22314355  0.00000000     -1.1519318     -1.0834849
## 256 -1.04982212 -0.64724718     -1.5342758     -0.8864471
## 257 -1.13943428 -0.64724718     -1.6752524     -0.6733501
## 258 -0.34249031 -0.34425042     -1.4130880     -1.2254033
## 260 -0.69314718 -0.41274719     -1.7844998     -0.5857864
## 261 -0.91629073 -0.71923319     -1.5342758     -1.0202041
## 262 -1.10866262 -0.90163769     -1.7844998     -0.7510004
## 263 -0.47803580 -0.47064906     -1.6256074     -0.4379501
## 264 -0.38566248 -0.06149412     -0.8582591     -0.5577795
## 265 -0.75502258 -0.81662520     -1.8452133     -0.6583592
## 267 -0.02020271 -0.18290044     -1.3405665     -0.7193752
## 268 -0.34249031 -0.44133043     -1.5787229     -0.8510875
## 269 -0.75502258 -0.34425042     -1.9754065     -1.0619168
## 270 -0.19845094 -0.41274719     -1.5787229     -0.5857864
## 271 -0.17435339 -0.20634242     -1.3063602     -0.6583592
## 272 -0.77652879 -0.53167272     -1.4130880     -0.5577795
## 273 -0.22314355 -0.38485910     -1.3405665     -0.6583592
## 274 -0.57981850 -0.38485910     -1.9389551     -0.7510004
## 275 -0.26136476 -0.85825911     -1.4919984     -0.3386752
## 277 -0.57981850 -0.48559774     -1.4516659     -1.0000000
## 278 -0.41551544 -0.53167272     -1.8452133     -0.4900331
## 279 -0.61618614 -0.57973042     -1.6256074     -0.7671172
## 281 -0.44628710 -0.21823750     -1.6752524     -0.8864471
## 282 -0.82098055 -0.73800921     -1.4130880     -0.7834475
## 283 -0.10536052 -0.29221795     -1.0189283     -0.9801961
## 287 -0.40047757 -0.42694948     -1.5342758     -0.7834475
## 289 -1.07880966 -0.92403445     -1.7844998     -1.0619168
## 290 -0.71334989 -0.42694948     -1.6752524     -0.9607695
## 291 -0.17435339 -0.35762924     -1.5787229     -0.8864471
## 292 -0.26136476 -0.37116408     -1.3063602     -0.4900331
## 294 -1.02165125 -0.50074709     -1.9248483     -0.4379501
## 297 -0.89159812 -0.64724718     -1.4919984     -0.8864471
## 298 -0.96758403 -0.77658561     -1.5342758     -0.7834475
## 299 -0.54472718 -0.37116408     -1.5787229     -1.0000000
## 301 -0.99425227 -0.71923319     -1.5787229     -1.0202041
## 302 -1.66073121 -0.87972006     -1.4919984     -0.4900331
## 303 -0.82098055 -0.70078093     -1.5787229     -0.6288691
## 304 -0.19845094 -0.29221795     -1.5342758     -1.0202041
## 305 -0.40047757 -0.54746226     -1.4919984     -0.3147700
## 306 -0.15082289 -0.48559774     -1.3063602     -0.5577795
## 307 -0.16251893 -0.21823750     -1.2415199     -0.3147700
## 308 -0.56211892 -0.56347899     -1.6256074     -0.2450071
## 311 -0.67334455 -0.35762924     -1.2733760     -0.5303062
## 312 -0.46203546 -0.21823750     -1.2733760     -1.0202041
## 313 -0.82098055 -0.83723396     -1.5787229     -0.6583592
## 314 -0.77652879 -0.66479918     -1.7280531     -0.8510875
## 315 -0.67334455 -0.56347899     -1.5342758     -0.4900331
## 316 -0.52763274 -1.15193183     -1.4516659     -0.8686292
## 317 -0.37106368 -0.59622443     -1.3761017     -1.0834849
## 320 -0.91629073 -0.75712204     -1.1808680     -0.6288691
## 321 -1.02165125 -1.01892829     -1.5787229     -0.7834475
## 322 -0.40047757 -0.37116408     -0.9943519     -0.4508067
## 323 -0.46203546 -0.31794508     -1.3405665     -0.8510875
## 324 -0.71334989 -0.59622443     -1.5787229     -0.7350889
## 325 -0.47803580 -0.68264012     -1.7844998     -0.4379501
## 326 -0.40047757 -0.42694948     -1.6256074     -1.2000000
## 327 -0.27443685 -0.41274719     -1.2107086     -0.7193752
## 329 -0.61618614 -0.68264012     -1.4919984     -0.8864471
## 330 -0.79850770 -0.77658561     -1.2107086     -0.5717143
## 331 -1.17118298 -1.01892829     -1.5787229     -0.7510004
## 332 -1.02165125 -0.94693458     -1.4516659     -0.5857864
## 333 -0.21072103 -0.38485910     -1.5787229     -0.6583592
##     Thymus_Expressed_Chemokine_TECK     VEGF E4 E2
## 1                          4.149327 22.03456  1  1
## 2                          3.810182 18.60184  2  1
## 3                          2.791992 17.47619  2  1
## 5                          4.534163 20.77860  1  1
## 6                          4.534163 13.19761  2  1
## 7                          3.342694 17.91139  1  2
## 8                          4.037285 13.26878  1  2
## 9                          3.637051 15.77258  1  1
## 11                         4.908629 15.65264  2  1
## 12                         3.637051 17.16420  1  2
## 14                         4.534163 15.95757  2  1
## 16                         4.093428 17.47619  2  1
## 17                         5.273838 13.14977  1  1
## 18                         2.407182 14.00853  2  1
## 19                         4.260413 15.09899  1  1
## 20                         3.810182 17.29317  2  2
## 21                         4.908629 13.72601  2  1
## 22                         3.578777 19.75007  1  1
## 23                         3.810182 14.83572  2  1
## 24                         4.534163 17.17862  1  1
## 25                         2.472433 15.38951  2  1
## 26                         4.149327 16.85569  2  1
## 28                         3.282892 16.42640  1  1
## 29                         3.578777 14.70067  2  1
## 30                         2.407182 15.08048  1  2
## 31                         2.854653 17.09173  1  1
## 34                         4.093428 15.53091  2  1
## 35                         4.093428 14.98724  2  1
## 36                         4.479850 15.72139  1  2
## 37                         4.149327 17.14975  2  1
## 38                         4.093428 15.66988  1  1
## 39                         4.315608 18.65101  1  1
## 40                         1.936058 16.10590  1  1
## 41                         3.637051 14.91184  1  1
## 42                         4.093428 17.34988  2  1
## 43                         3.342694 14.96846  1  1
## 44                         2.791992 18.23746  2  1
## 45                         4.908629 17.09173  1  1
## 46                         4.315608 18.91693  1  1
## 47                         3.867347 15.35377  1  1
## 48                         3.752748 19.83721  1  2
## 50                         4.093428 17.14975  1  1
## 51                         3.810182 19.04716  1  1
## 53                         3.810182 17.76415  1  1
## 55                         2.791992 18.18606  2  1
## 56                         2.601557 16.78059  1  1
## 57                         6.225224 19.62899  1  1
## 59                         3.101492 16.05675  2  1
## 60                         1.796259 15.77258  1  1
## 61                         2.854653 15.53091  1  1
## 62                         2.854653 16.61303  1  1
## 63                         4.479850 16.70483  1  1
## 64                         4.479850 15.75555  2  1
## 65                         3.810182 16.42640  1  1
## 67                         4.855724 17.44828  2  1
## 68                         6.225224 18.14732  1  1
## 69                         2.854653 14.70067  1  1
## 70                         2.791992 18.25027  1  1
## 71                         3.810182 17.81797  1  2
## 72                         4.749337 19.86969  1  1
## 73                         4.961345 19.29097  1  2
## 74                         3.752748 13.98717  1  1
## 75                         3.810182 15.02467  1  1
## 76                         4.479850 18.14732  2  1
## 77                         5.325310 17.53176  2  1
## 78                         6.225224 20.00922  2  1
## 80                         3.342694 19.12912  1  1
## 81                         3.637051 15.77258  1  1
## 82                         3.282892 16.28369  2  1
## 83                         4.908629 17.50402  1  2
## 84                         3.637051 16.95974  2  1
## 85                         4.479850 20.15734  1  1
## 86                         4.479850 16.73521  1  2
## 88                         4.149327 17.84476  2  1
## 90                         3.040333 14.07222  1  1
## 93                         4.037285 18.09542  2  1
## 94                         5.222195 20.79835  1  1
## 95                         3.752748 15.80652  1  1
## 96                         3.980894 17.61447  2  1
## 97                         4.149327 17.23608  2  1
## 98                         1.508487 16.02382  1  2
## 99                         3.810182 17.62818  1  1
## 100                        3.101492 18.36473  2  1
## 103                        4.534163 20.92578  1  2
## 104                        4.037285 19.23348  2  1
## 105                        3.810182 18.41515  1  1
## 107                        3.752748 18.12141  2  1
## 108                        3.342694 18.67549  1  1
## 109                        2.208489 15.75555  1  2
## 110                        2.854653 13.38584  1  2
## 111                        3.040333 19.35952  2  1
## 112                        4.149327 18.88110  1  1
## 113                        4.149327 15.68709  2  1
## 114                        2.791992 13.36258  2  1
## 115                        3.637051 15.13589  2  1
## 117                        4.315608 17.92466  1  1
## 118                        4.149327 17.66918  1  1
## 121                        3.637051 16.82573  2  1
## 123                        2.854653 14.19800  2  1
## 124                        3.040333 16.94495  1  1
## 126                        3.867347 15.99076  2  1
## 128                        4.093428 18.65101  2  1
## 129                        3.101492 13.92275  2  1
## 130                        4.908629 17.46224  1  1
## 131                        3.578777 17.01865  1  1
## 132                        3.752748 18.17317  2  1
## 133                        4.149327 16.26768  2  1
## 134                        6.225224 17.40624  2  1
## 135                        3.342694 18.51518  1  2
## 136                        3.578777 17.68281  2  1
## 137                        2.791992 16.61303  2  2
## 139                        3.282892 15.82344  2  1
## 140                        4.149327 16.75036  2  2
## 141                        4.149327 17.96435  2  1
## 143                        3.752748 16.65905  1  1
## 144                        3.752748 14.19800  2  1
## 145                        2.854653 16.07317  1  1
## 146                        3.980894 17.62818  2  1
## 147                        3.752748 17.37811  2  1
## 148                        4.479850 18.63874  1  1
## 149                        3.342694 16.68960  1  2
## 152                        5.580204 17.76415  2  1
## 153                        4.149327 16.81071  1  1
## 154                        2.537220 16.13851  1  1
## 155                        3.342694 15.40733  2  1
## 156                        4.315608 18.62646  1  1
## 157                        3.752748 17.07716  1  2
## 158                        3.342694 17.89810  2  1
## 159                        3.637051 14.70067  1  1
## 160                        4.315608 19.49518  1  2
## 161                        4.479850 17.61447  1  1
## 162                        3.578777 18.42771  1  1
## 163                        4.479850 16.10590  2  1
## 165                        3.040333 16.47344  2  1
## 166                        3.637051 16.18718  1  1
## 167                        4.908629 19.88049  1  1
## 168                        3.342694 16.95974  1  1
## 169                        3.282892 15.51337  1  2
## 170                        3.752748 13.85775  1  1
## 171                        4.855724 16.41066  1  1
## 172                        3.752748 17.60073  1  1
## 174                        4.093428 16.73521  1  1
## 175                        4.149327 16.56675  1  1
## 176                        4.093428 16.25164  1  1
## 177                        3.578777 18.49027  1  1
## 178                        3.637051 15.02467  1  1
## 179                        5.273838 18.27583  1  2
## 180                        5.580204 15.87400  1  1
## 181                        4.037285 16.28369  1  1
## 182                        3.520211 18.41515  1  2
## 183                        2.407182 14.54339  2  1
## 184                        4.908629 18.33941  2  1
## 185                        4.093428 18.06935  2  1
## 186                        4.149327 15.42510  2  1
## 189                        3.520211 17.47619  1  1
## 190                        4.479850 19.25652  1  2
## 191                        4.037285 16.88555  2  1
## 192                        4.479850 19.21038  2  2
## 193                        3.637051 15.78957  2  1
## 194                        4.037285 16.44211  2  1
## 195                        3.810182 17.64187  1  1
## 197                        3.980894 17.95114  2  1
## 198                        4.037285 15.75555  2  2
## 200                        2.854653 19.40495  2  1
## 201                        4.908629 18.08239  1  1
## 202                        3.342694 14.23946  2  1
## 205                        4.315608 16.93014  1  1
## 208                        4.037285 17.96435  2  1
## 210                        4.534163 16.88555  2  1
## 212                        1.936058 15.17262  2  1
## 213                        4.534163 16.72003  2  1
## 214                        3.342694 16.08955  1  1
## 215                        3.752748 17.06257  1  1
## 216                        4.479850 17.60073  2  1
## 218                        4.908629 16.28369  1  1
## 219                        3.637051 16.55127  1  1
## 220                        3.637051 15.40733  1  1
## 223                        4.149327 17.14975  2  1
## 224                        2.854653 17.83137  1  1
## 225                        3.752748 20.29296  1  1
## 226                        4.037285 21.33654  1  1
## 227                        3.752748 18.37736  1  1
## 228                        1.796259 14.75884  1  1
## 229                        3.520211 12.70378  2  1
## 230                        4.908629 18.03012  1  2
## 231                        3.752748 17.17862  1  1
## 232                        4.479850 18.19894  1  2
## 233                        3.040333 15.19092  2  1
## 234                        3.752748 15.75555  1  2
## 236                        3.282892 15.63536  1  1
## 237                        3.637051 16.78059  1  1
## 239                        3.342694 11.83075  1  1
## 240                        2.854653 15.58331  1  1
## 241                        4.149327 17.88480  1  1
## 242                        2.791992 14.34213  1  1
## 243                        3.637051 14.05105  1  1
## 244                        4.093428 17.43429  2  1
## 245                        4.479850 13.50102  1  1
## 246                        3.752748 17.23608  1  2
## 247                        4.479850 16.26768  2  1
## 249                        4.149327 19.12912  2  2
## 250                        3.040333 17.88480  2  2
## 251                        3.101492 17.32157  2  1
## 253                        4.093428 17.50402  1  1
## 254                        4.149327 22.38015  1  1
## 255                        3.637051 17.26467  2  1
## 256                        3.101492 14.83572  2  1
## 257                        3.637051 14.89288  2  1
## 258                        5.580204 18.73643  2  1
## 260                        4.037285 17.26467  1  1
## 261                        3.101492 14.13537  1  1
## 262                        4.037285 16.90044  1  1
## 263                        4.037285 19.52881  1  1
## 264                        4.093428 17.51790  2  1
## 265                        3.810182 17.89810  1  1
## 267                        4.149327 18.18606  2  1
## 268                        4.479850 18.60184  1  1
## 269                        3.520211 16.85569  2  1
## 270                        3.578777 18.19894  1  1
## 271                        4.908629 18.09542  2  1
## 272                        4.908629 18.73643  1  2
## 273                        4.479850 17.51790  1  1
## 274                        3.578777 17.20740  1  1
## 275                        3.342694 18.21180  1  2
## 277                        4.534163 16.10590  1  1
## 278                        3.101492 17.61447  1  1
## 279                        3.980894 16.39490  2  1
## 281                        4.908629 15.90753  2  1
## 282                        4.315608 17.12079  2  1
## 283                        4.479850 21.12839  1  2
## 287                        2.791992 17.87147  1  2
## 289                        2.407182 14.91184  1  1
## 290                        3.342694 14.77813  1  1
## 291                        5.580204 15.22740  1  2
## 292                        4.149327 19.42759  1  1
## 294                        2.407182 13.92275  1  2
## 297                        2.601557 16.62839  1  1
## 298                        2.208489 16.37910  1  1
## 299                        4.534163 16.87063  2  1
## 301                        3.101492 15.19092  2  1
## 302                        3.342694 14.40307  1  1
## 303                        4.908629 17.76415  1  1
## 304                        3.867347 17.80454  2  1
## 305                        4.908629 21.09010  1  1
## 306                        4.534163 19.25652  1  2
## 307                        4.315608 18.45279  1  1
## 308                        1.796259 17.92466  2  1
## 311                        4.479850 15.42510  2  1
## 312                        3.637051 20.78848  2  2
## 313                        3.040333 16.41066  1  1
## 314                        4.037285 16.88555  1  1
## 315                        2.854653 16.58220  1  1
## 316                        3.810182 17.49011  1  1
## 317                        3.810182 17.61447  1  1
## 320                        3.342694 16.41066  2  1
## 321                        2.791992 12.70378  1  1
## 322                        4.093428 17.73712  1  2
## 323                        4.037285 18.54002  1  1
## 324                        3.342694 15.87400  2  1
## 325                        3.578777 18.42771  1  2
## 326                        4.037285 16.97451  2  1
## 327                        5.273838 19.05891  2  1
## 329                        3.637051 17.51790  1  1
## 330                        4.534163 15.61805  2  1
## 331                        4.260413 14.54339  1  1
## 332                        4.479850 16.36327  1  1
## 333                        4.037285 22.34608  2  1
## 
## $usekernel
## [1] TRUE
## 
## $varnames
##  [1] "Adiponectin"                      "Alpha_1_Antichymotrypsin"        
##  [3] "Alpha_1_Antitrypsin"              "Alpha_1_Microglobulin"           
##  [5] "Alpha_2_Macroglobulin"            "Apolipoprotein_CIII"             
##  [7] "Apolipoprotein_D"                 "B_Lymphocyte_Chemoattractant_BL" 
##  [9] "CD5L"                             "Clusterin_Apo_J"                 
## [11] "Complement_3"                     "Cortisol"                        
## [13] "Creatine_Kinase_MB"               "Cystatin_C"                      
## [15] "Eotaxin_3"                        "FAS"                             
## [17] "Fas_Ligand"                       "Fatty_Acid_Binding_Protein"      
## [19] "Ferritin"                         "Fetuin_A"                        
## [21] "Fibrinogen"                       "GRO_alpha"                       
## [23] "Gamma_Interferon_induced_Monokin" "HB_EGF"                          
## [25] "HCC_4"                            "Hepatocyte_Growth_Factor_HGF"    
## [27] "IGF_BP_2"                         "IL_7"                            
## [29] "IL_8"                             "IP_10_Inducible_Protein_10"      
## [31] "IgA"                              "Kidney_Injury_Molecule_1_KIM_1"  
## [33] "MCP_1"                            "MCP_2"                           
## [35] "MIF"                              "MIP_1alpha"                      
## [37] "MMP_3"                            "MMP10"                           
## [39] "MMP7"                             "NT_proBNP"                       
## [41] "Osteopontin"                      "PAI_1"                           
## [43] "PLGF"                             "Pancreatic_polypeptide"          
## [45] "Protein_S"                        "Pulmonary_and_Activation_Regulat"
## [47] "Resistin"                         "S100b"                           
## [49] "Sortilin"                         "TIMP_1"                          
## [51] "TNF_RII"                          "TRAIL_R3"                        
## [53] "Thrombomodulin"                   "Thrombopoietin"                  
## [55] "Thymus_Expressed_Chemokine_TECK"  "VEGF"                            
## [57] "E4"                               "E2"                              
## 
## attr(,"class")
## [1] "NaiveBayes"
NB_UF_NAC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa     ROCSD    SensSD
## 1 0.7471053 0.6232143 0.7571053 0.7195971 0.3572929 0.1071313 0.2240579
##      SpecSD AccuracySD   KappaSD
## 1 0.1565098  0.1193185 0.2260639
(NB_UF_NAC_Train_ROCCurveAUC <- NB_UF_NAC_Tune$results[NB_UF_NAC_Tune$results$ROC==max(NB_UF_NAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7471053
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
NB_UF_NAC_Test <- data.frame(NB_UF_NAC_Observed = PMA_PreModelling_Test$Class,
                              NB_UF_NAC_Predicted = predict(NB_UF_NAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

NB_UF_NAC_Test
##     NB_UF_NAC_Observed NB_UF_NAC_Predicted.pred NB_UF_NAC_Predicted.Impaired
## 4              Control                  Control                 1.400274e-06
## 10            Impaired                 Impaired                 7.818761e-01
## 13            Impaired                  Control                 2.352140e-06
## 15             Control                  Control                 1.420617e-05
## 27            Impaired                  Control                 4.927035e-06
## 32            Impaired                  Control                 1.865568e-06
## 33            Impaired                  Control                 1.162765e-04
## 49             Control                  Control                 1.950693e-05
## 52            Impaired                 Impaired                 1.000000e+00
## 54             Control                  Control                 1.433671e-07
## 58             Control                 Impaired                 9.999997e-01
## 66             Control                  Control                 5.360085e-03
## 79             Control                  Control                 1.725940e-02
## 87            Impaired                  Control                 1.607240e-05
## 89             Control                  Control                 5.572745e-03
## 91             Control                 Impaired                 9.996713e-01
## 92             Control                  Control                 7.051775e-02
## 101           Impaired                 Impaired                 1.000000e+00
## 102            Control                  Control                 3.737509e-06
## 106            Control                  Control                 3.051701e-16
## 116            Control                  Control                 2.662206e-19
## 119            Control                  Control                 1.252846e-06
## 120            Control                  Control                 6.208372e-05
## 122            Control                  Control                 1.097313e-05
## 125            Control                  Control                 2.467253e-03
## 127            Control                 Impaired                 9.443785e-01
## 138            Control                  Control                 3.670545e-02
## 142            Control                 Impaired                 9.722734e-01
## 150            Control                  Control                 6.253153e-04
## 151            Control                  Control                 2.016424e-06
## 164           Impaired                  Control                 8.547045e-08
## 173            Control                  Control                 1.295968e-03
## 187            Control                  Control                 3.090229e-06
## 188            Control                  Control                 1.045783e-07
## 196            Control                 Impaired                 8.385839e-01
## 199            Control                  Control                 3.958251e-06
## 203            Control                  Control                 2.633234e-15
## 204            Control                 Impaired                 9.997024e-01
## 206           Impaired                 Impaired                 1.000000e+00
## 207            Control                  Control                 4.346014e-07
## 209            Control                  Control                 6.440882e-11
## 211            Control                  Control                 1.556912e-06
## 217            Control                 Impaired                 7.556338e-01
## 221           Impaired                 Impaired                 9.996024e-01
## 222            Control                  Control                 1.861250e-01
## 235            Control                  Control                 6.260685e-11
## 238            Control                  Control                 2.051786e-04
## 248           Impaired                  Control                 2.058479e-08
## 252            Control                  Control                 9.521381e-11
## 259           Impaired                  Control                 2.196703e-01
## 266            Control                 Impaired                 5.006431e-01
## 276           Impaired                 Impaired                 1.000000e+00
## 280           Impaired                  Control                 2.689492e-01
## 284            Control                  Control                 5.434017e-02
## 285            Control                  Control                 5.155616e-09
## 286            Control                  Control                 2.642772e-09
## 288            Control                  Control                 8.343882e-07
## 293           Impaired                  Control                 4.572430e-02
## 295            Control                  Control                 1.366094e-03
## 296           Impaired                 Impaired                 9.999769e-01
## 300            Control                 Impaired                 9.997906e-01
## 309            Control                  Control                 6.898648e-03
## 310           Impaired                 Impaired                 9.786435e-01
## 318            Control                  Control                 1.692328e-09
## 319            Control                  Control                 4.934387e-01
## 328            Control                  Control                 2.175427e-09
##     NB_UF_NAC_Predicted.Control
## 4                  9.999986e-01
## 10                 2.181239e-01
## 13                 9.999976e-01
## 15                 9.999858e-01
## 27                 9.999951e-01
## 32                 9.999981e-01
## 33                 9.998837e-01
## 49                 9.999805e-01
## 52                 9.275901e-11
## 54                 9.999999e-01
## 58                 2.507423e-07
## 66                 9.946399e-01
## 79                 9.827406e-01
## 87                 9.999839e-01
## 89                 9.944273e-01
## 91                 3.287346e-04
## 92                 9.294823e-01
## 101                3.485466e-13
## 102                9.999963e-01
## 106                1.000000e+00
## 116                1.000000e+00
## 119                9.999987e-01
## 120                9.999379e-01
## 122                9.999890e-01
## 125                9.975327e-01
## 127                5.562154e-02
## 138                9.632946e-01
## 142                2.772658e-02
## 150                9.993747e-01
## 151                9.999980e-01
## 164                9.999999e-01
## 173                9.987040e-01
## 187                9.999969e-01
## 188                9.999999e-01
## 196                1.614161e-01
## 199                9.999960e-01
## 203                1.000000e+00
## 204                2.976329e-04
## 206                3.914062e-09
## 207                9.999996e-01
## 209                1.000000e+00
## 211                9.999984e-01
## 217                2.443662e-01
## 221                3.975900e-04
## 222                8.138750e-01
## 235                1.000000e+00
## 238                9.997948e-01
## 248                1.000000e+00
## 252                1.000000e+00
## 259                7.803297e-01
## 266                4.993569e-01
## 276                1.527967e-08
## 280                7.310508e-01
## 284                9.456598e-01
## 285                1.000000e+00
## 286                1.000000e+00
## 288                9.999992e-01
## 293                9.542757e-01
## 295                9.986339e-01
## 296                2.314151e-05
## 300                2.093846e-04
## 309                9.931014e-01
## 310                2.135648e-02
## 318                1.000000e+00
## 319                5.065613e-01
## 328                1.000000e+00
##################################
# Reporting the independent evaluation results
# for the test set
##################################
NB_UF_NAC_Test_ROC <- roc(response = NB_UF_NAC_Test$NB_UF_NAC_Observed,
                           predictor = NB_UF_NAC_Test$NB_UF_NAC_Predicted.Impaired,
                           levels = rev(levels(NB_UF_NAC_Test$NB_UF_NAC_Observed)))

(NB_UF_NAC_Test_ROCCurveAUC <- auc(NB_UF_NAC_Test_ROC)[1])
## [1] 0.6979167

1.5.13 Naive Bayes With UF Using Bonferroni-Adjusted P-Values and With Correlated Predictors (NB_UF_BAC)


Naive Bayes Classifier categorizes instances by applying Bayes Theorem in determining posterior probabilities as conditioned by the likelihood of features, and prior probabilities pertaining to both events and features. The algorithm naively assumes independence between features and assigns the same weight (degree of significance) to all given features. The class conditional probabilities and the prior probabilities are calculated to yield the posterior probability, and operates by returning the class, which has the maximum posterior probability out of a group of classes.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. The presence of highly correlated features during the modeling process may lead to model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The Naive Bayes model from the klaR package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and correlated predictors through the caret package.

[B] The model contains 3 hyperparameters:
     [B.1] fL = laplace correction held constant at a value of 0
     [B.2] adjust = bandwidth adjustment held constant at a value of TRUE
     [B.3] usekernel = distribution type held constant at a value of TRUE

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model peNBormance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.76025

[E] The independent test model peNBormance of the final model is summarized as follows:
     [E.1] AUROC = 0.76273

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with bonferroni-adjusted 
# p-values greater than 0.05
##################################
NBPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = NBPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the naive bayes model
# by setting the caret method to 'nb'
# with implementation of univariate filter
##################################
set.seed(12345678)
NB_UF_BAC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
NB_UF_BAC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy Kappa   ROCSD SensSD SpecSD AccuracySD KappaSD
##  0.7609 0.5964 0.7774   0.7273 0.363 0.09855 0.2223 0.1597     0.1319  0.2715
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
NB_UF_BAC_Tune$fit
## $apriori
## grouping
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## $tables
## $tables$Eotaxin_3
## $tables$Eotaxin_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.556
## 
##        x                 y            
##  Min.   :  9.332   Min.   :1.337e-05  
##  1st Qu.: 37.166   1st Qu.:1.129e-03  
##  Median : 65.000   Median :5.511e-03  
##  Mean   : 65.000   Mean   :8.964e-03  
##  3rd Qu.: 92.834   3rd Qu.:1.491e-02  
##  Max.   :120.668   Max.   :2.988e-02  
## 
## $tables$Eotaxin_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 4.684
## 
##        x                 y            
##  Min.   : -7.052   Min.   :4.901e-06  
##  1st Qu.: 22.224   1st Qu.:4.092e-04  
##  Median : 51.500   Median :4.572e-03  
##  Mean   : 51.500   Mean   :8.523e-03  
##  3rd Qu.: 80.776   3rd Qu.:1.856e-02  
##  Max.   :110.052   Max.   :2.364e-02  
## 
## 
## $tables$FAS
## $tables$FAS$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.112
## 
##        x                 y            
##  Min.   :-1.3860   Min.   :0.0005482  
##  1st Qu.:-0.8713   1st Qu.:0.0744882  
##  Median :-0.3567   Median :0.4050701  
##  Mean   :-0.3567   Mean   :0.4847868  
##  3rd Qu.: 0.1580   3rd Qu.:0.8069833  
##  Max.   : 0.6726   Max.   :1.3560508  
## 
## $tables$FAS$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08631
## 
##        x                 y            
##  Min.   :-1.7731   Min.   :0.0002668  
##  1st Qu.:-1.2412   1st Qu.:0.0228707  
##  Median :-0.7094   Median :0.3094483  
##  Mean   :-0.7094   Mean   :0.4691546  
##  3rd Qu.:-0.1776   3rd Qu.:0.8467171  
##  Max.   : 0.3542   Max.   :1.4115039  
## 
## 
## $tables$Fibrinogen
## $tables$Fibrinogen$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2039
## 
##        x                y            
##  Min.   :-9.352   Min.   :0.0002994  
##  1st Qu.:-8.340   1st Qu.:0.0297491  
##  Median :-7.327   Median :0.1176966  
##  Mean   :-7.327   Mean   :0.2464541  
##  3rd Qu.:-6.315   3rd Qu.:0.4605718  
##  Max.   :-5.303   Max.   :0.7646276  
## 
## $tables$Fibrinogen$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1616
## 
##        x                y            
##  Min.   :-9.359   Min.   :0.0001768  
##  1st Qu.:-8.359   1st Qu.:0.0386225  
##  Median :-7.358   Median :0.1268076  
##  Mean   :-7.358   Mean   :0.2494747  
##  3rd Qu.:-6.358   3rd Qu.:0.4809641  
##  Max.   :-5.358   Max.   :0.7047324  
## 
## 
## $tables$GRO_alpha
## $tables$GRO_alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01539
## 
##        x               y           
##  Min.   :1.263   Min.   : 0.00406  
##  1st Qu.:1.332   1st Qu.: 0.54230  
##  Median :1.402   Median : 2.71917  
##  Mean   :1.402   Mean   : 3.59086  
##  3rd Qu.:1.471   3rd Qu.: 6.17618  
##  Max.   :1.541   Max.   :10.69562  
## 
## $tables$GRO_alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01113
## 
##        x               y            
##  Min.   :1.238   Min.   : 0.002945  
##  1st Qu.:1.300   1st Qu.: 0.969398  
##  Median :1.363   Median : 3.049909  
##  Mean   :1.363   Mean   : 3.994613  
##  3rd Qu.:1.425   3rd Qu.: 7.200400  
##  Max.   :1.488   Max.   :10.071952  
## 
## 
## $tables$Gamma_Interferon_induced_Monokin
## $tables$Gamma_Interferon_induced_Monokin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03894
## 
##        x               y          
##  Min.   :2.497   Min.   :0.00164  
##  1st Qu.:2.669   1st Qu.:0.17739  
##  Median :2.840   Median :1.25904  
##  Mean   :2.840   Mean   :1.45720  
##  3rd Qu.:3.011   3rd Qu.:2.70076  
##  Max.   :3.182   Max.   :3.51052  
## 
## $tables$Gamma_Interferon_induced_Monokin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.03562
## 
##        x               y           
##  Min.   :2.286   Min.   :0.000645  
##  1st Qu.:2.496   1st Qu.:0.054709  
##  Median :2.707   Median :0.799942  
##  Mean   :2.707   Mean   :1.187958  
##  3rd Qu.:2.917   3rd Qu.:2.388599  
##  Max.   :3.127   Max.   :3.377959  
## 
## 
## $tables$MIF
## $tables$MIF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1116
## 
##        x                 y            
##  Min.   :-2.7318   Min.   :0.0005472  
##  1st Qu.:-2.1761   1st Qu.:0.0505520  
##  Median :-1.6204   Median :0.1858068  
##  Mean   :-1.6204   Mean   :0.4490134  
##  3rd Qu.:-1.0648   3rd Qu.:0.9965195  
##  Max.   :-0.5091   Max.   :1.1763069  
## 
## $tables$MIF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09496
## 
##        x                 y            
##  Min.   :-3.1322   Min.   :0.0002408  
##  1st Qu.:-2.5133   1st Qu.:0.0326868  
##  Median :-1.8945   Median :0.2730891  
##  Mean   :-1.8945   Mean   :0.4031727  
##  3rd Qu.:-1.2756   3rd Qu.:0.7351494  
##  Max.   :-0.6567   Max.   :1.2561687  
## 
## 
## $tables$MMP10
## $tables$MMP10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                y            
##  Min.   :-5.343   Min.   :0.0004474  
##  1st Qu.:-4.457   1st Qu.:0.0326114  
##  Median :-3.570   Median :0.1316350  
##  Mean   :-3.570   Mean   :0.2814658  
##  3rd Qu.:-2.684   3rd Qu.:0.4407209  
##  Max.   :-1.798   Max.   :1.1131115  
## 
## $tables$MMP10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1146
## 
##        x                y            
##  Min.   :-5.011   Min.   :0.0002376  
##  1st Qu.:-4.313   1st Qu.:0.0639220  
##  Median :-3.615   Median :0.1883134  
##  Mean   :-3.615   Mean   :0.3575896  
##  3rd Qu.:-2.918   3rd Qu.:0.7256202  
##  Max.   :-2.220   Max.   :0.9695254  
## 
## 
## $tables$MMP7
## $tables$MMP7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4298
## 
##        x                 y            
##  Min.   :-7.8961   Min.   :0.0001877  
##  1st Qu.:-5.7017   1st Qu.:0.0296373  
##  Median :-3.5072   Median :0.0703373  
##  Mean   :-3.5072   Mean   :0.1136922  
##  3rd Qu.:-1.3127   3rd Qu.:0.2118599  
##  Max.   : 0.8818   Max.   :0.3283795  
## 
## $tables$MMP7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4545
## 
##        x                y            
##  Min.   :-9.761   Min.   :5.049e-05  
##  1st Qu.:-7.035   1st Qu.:7.595e-03  
##  Median :-4.310   Median :7.733e-02  
##  Mean   :-4.310   Mean   :9.155e-02  
##  3rd Qu.:-1.584   3rd Qu.:1.513e-01  
##  Max.   : 1.141   Max.   :2.707e-01  
## 
## 
## $tables$NT_proBNP
## $tables$NT_proBNP$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1278
## 
##        x               y            
##  Min.   :3.488   Min.   :0.0004799  
##  1st Qu.:4.183   1st Qu.:0.0472861  
##  Median :4.879   Median :0.1644620  
##  Mean   :4.879   Mean   :0.3587442  
##  3rd Qu.:5.574   3rd Qu.:0.6206068  
##  Max.   :6.270   Max.   :1.2352851  
## 
## $tables$NT_proBNP$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09443
## 
##        x               y            
##  Min.   :2.895   Min.   :0.0002446  
##  1st Qu.:3.609   1st Qu.:0.0257804  
##  Median :4.323   Median :0.1530335  
##  Mean   :4.323   Mean   :0.3493812  
##  3rd Qu.:5.037   3rd Qu.:0.5785926  
##  Max.   :5.751   Max.   :1.3532174  
## 
## 
## $tables$PAI_1
## $tables$PAI_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1684
## 
##        x                 y            
##  Min.   :-1.3796   Min.   :0.0003683  
##  1st Qu.:-0.6169   1st Qu.:0.0433878  
##  Median : 0.1458   Median :0.2047515  
##  Mean   : 0.1458   Mean   :0.3271269  
##  3rd Qu.: 0.9085   3rd Qu.:0.6651820  
##  Max.   : 1.6713   Max.   :0.7845451  
## 
## $tables$PAI_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1155
## 
##        x                   y            
##  Min.   :-1.337358   Min.   :0.0002009  
##  1st Qu.:-0.665516   1st Qu.:0.0465423  
##  Median : 0.006326   Median :0.2552360  
##  Mean   : 0.006326   Mean   :0.3713764  
##  3rd Qu.: 0.678169   3rd Qu.:0.6258449  
##  Max.   : 1.350011   Max.   :1.0998865  
## 
## 
## $tables$Pancreatic_polypeptide
## $tables$Pancreatic_polypeptide$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2937
## 
##        x                 y            
##  Min.   :-2.1541   Min.   :0.0004183  
##  1st Qu.:-0.9124   1st Qu.:0.0345638  
##  Median : 0.3293   Median :0.1788613  
##  Mean   : 0.3293   Mean   :0.2009313  
##  3rd Qu.: 1.5710   3rd Qu.:0.3209413  
##  Max.   : 2.8126   Max.   :0.5212213  
## 
## $tables$Pancreatic_polypeptide$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2106
## 
##        x                 y            
##  Min.   :-2.7520   Min.   :0.0001181  
##  1st Qu.:-1.4939   1st Qu.:0.0177924  
##  Median :-0.2358   Median :0.1181308  
##  Mean   :-0.2358   Mean   :0.1983245  
##  3rd Qu.: 1.0223   3rd Qu.:0.3748847  
##  Max.   : 2.2803   Max.   :0.5971506  
## 
## 
## $tables$TNF_RII
## $tables$TNF_RII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1287
## 
##        x                 y            
##  Min.   :-1.7724   Min.   :0.0004729  
##  1st Qu.:-1.1153   1st Qu.:0.0399146  
##  Median :-0.4581   Median :0.1767396  
##  Mean   :-0.4581   Mean   :0.3796843  
##  3rd Qu.: 0.1990   3rd Qu.:0.7846294  
##  Max.   : 0.8561   Max.   :1.0878833  
## 
## $tables$TNF_RII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09976
## 
##        x                  y            
##  Min.   :-1.96002   Min.   :0.0002298  
##  1st Qu.:-1.31108   1st Qu.:0.0216834  
##  Median :-0.66213   Median :0.1367883  
##  Mean   :-0.66213   Mean   :0.3844817  
##  3rd Qu.:-0.01318   3rd Qu.:0.7880589  
##  Max.   : 0.63577   Max.   :1.1788242  
## 
## 
## $tables$TRAIL_R3
## $tables$TRAIL_R3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08757
## 
##        x                 y            
##  Min.   :-1.1644   Min.   :0.0006967  
##  1st Qu.:-0.7402   1st Qu.:0.0605912  
##  Median :-0.3161   Median :0.3641310  
##  Mean   :-0.3161   Mean   :0.5882954  
##  3rd Qu.: 0.1080   3rd Qu.:1.1507193  
##  Max.   : 0.5321   Max.   :1.6012376  
## 
## $tables$TRAIL_R3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.071
## 
##        x                  y            
##  Min.   :-1.42370   Min.   :0.0003239  
##  1st Qu.:-0.96810   1st Qu.:0.0299211  
##  Median :-0.51251   Median :0.2241354  
##  Mean   :-0.51251   Mean   :0.5476573  
##  3rd Qu.:-0.05692   3rd Qu.:1.1322475  
##  Max.   : 0.39867   Max.   :1.6594882  
## 
## 
## $tables$Thymus_Expressed_Chemokine_TECK
## $tables$Thymus_Expressed_Chemokine_TECK$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2555
## 
##        x               y           
##  Min.   :1.170   Min.   :0.000239  
##  1st Qu.:2.625   1st Qu.:0.017862  
##  Median :4.081   Median :0.079276  
##  Mean   :4.081   Mean   :0.171420  
##  3rd Qu.:5.536   3rd Qu.:0.310995  
##  Max.   :6.992   Max.   :0.559876  
## 
## $tables$Thymus_Expressed_Chemokine_TECK$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1889
## 
##        x                y            
##  Min.   :0.9418   Min.   :0.0001233  
##  1st Qu.:2.4043   1st Qu.:0.0171002  
##  Median :3.8669   Median :0.0722106  
##  Mean   :3.8669   Mean   :0.1705975  
##  3rd Qu.:5.3294   3rd Qu.:0.2912266  
##  Max.   :6.7920   Max.   :0.5967206  
## 
## 
## $tables$E4
## $tables$E4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.189
## 
##        x                y          
##  Min.   :0.4329   Min.   :0.00965  
##  1st Qu.:0.9664   1st Qu.:0.11395  
##  Median :1.5000   Median :0.37933  
##  Mean   :1.5000   Mean   :0.46703  
##  3rd Qu.:2.0336   3rd Qu.:0.78142  
##  Max.   :2.5671   Max.   :1.24269  
## 
## $tables$E4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1479
## 
##        x                y           
##  Min.   :0.5562   Min.   :0.008364  
##  1st Qu.:1.0281   1st Qu.:0.071217  
##  Median :1.5000   Median :0.345225  
##  Mean   :1.5000   Mean   :0.528053  
##  3rd Qu.:1.9719   3rd Qu.:0.833414  
##  Max.   :2.4438   Max.   :1.806542  
## 
## 
## 
## $levels
## [1] "Impaired" "Control" 
## 
## $call
## NaiveBayes.default(x = x, grouping = y, usekernel = TRUE, fL = 2, 
##     metric = "ROC")
## 
## $x
##     Eotaxin_3         FAS Fibrinogen GRO_alpha Gamma_Interferon_induced_Monokin
## 1          53 -0.08338161  -7.035589  1.381830                         2.949822
## 2          62 -0.52763274  -8.047190  1.372438                         2.721793
## 3          62 -0.63487827  -7.195437  1.412679                         2.762231
## 5          64 -0.12783337  -6.980326  1.398431                         2.851987
## 6          57 -0.32850407  -6.437752  1.398431                         2.822442
## 7          64 -0.71334989  -7.621105  1.338425                         2.739315
## 8          64 -0.71334989  -6.502290  1.350892                         2.966101
## 9          64 -0.82098055  -7.902008  1.381830                         2.584357
## 11         82 -0.02020271  -7.523941  1.412679                         2.701785
## 12         73 -0.71334989  -7.278819  1.398431                         2.769220
## 14         67 -0.44628710  -6.991137  1.440955                         2.924402
## 16         69 -0.41551544  -7.222466  1.412679                         2.911527
## 17         76 -0.02020271  -6.319969  1.419083                         2.845167
## 18         33 -0.82098055  -7.402052  1.324552                         2.956388
## 19         54 -0.47803580  -6.959049  1.405814                         3.019718
## 20         77 -0.63487827  -5.843045  1.430692                         2.708297
## 21         64 -0.07257069  -7.182192  1.398431                         2.929867
## 22         73 -0.30110509  -7.385791  1.405814                         2.724975
## 23         30 -0.86750057  -7.641724  1.338425                         2.568127
## 24         82 -0.07257069  -7.600902  1.372438                         2.614139
## 25         82 -0.57981850  -7.435388  1.308996                         2.667835
## 26         70 -0.16251893  -7.452482  1.381830                         2.788951
## 28         76 -0.49429632  -7.323271  1.350892                         2.680311
## 29         34 -1.04982212  -7.875339  1.338425                         2.713850
## 30         43 -0.96758403  -7.875339  1.398431                         2.766469
## 31         64 -0.82098055  -6.645391  1.381830                         2.790112
## 34         44 -0.82098055  -6.969631  1.458333                         2.883453
## 35         44 -0.82098055  -7.236259  1.362172                         2.802914
## 36         64 -0.49429632  -6.571283  1.445658                         2.848747
## 37         70 -0.28768207  -7.505592  1.398431                         2.786199
## 38         34 -0.82098055  -7.561682  1.398431                         2.919789
## 39         62 -0.44628710  -8.111728  1.291400                         2.620513
## 40         62 -0.63487827  -7.824046  1.430692                         2.876049
## 41         54 -0.52763274  -6.377127  1.398431                         2.825646
## 42         92 -0.61618614  -7.487574  1.398431                         2.603403
## 43         43 -0.57981850  -7.143478  1.362172                         2.927719
## 44         72 -0.63487827  -6.812445  1.362172                         2.908388
## 45         82 -0.05129329  -6.571283  1.425073                         2.792403
## 46         72 -0.44628710  -8.180721  1.372438                         2.762231
## 47         64 -0.75502258  -7.505592  1.405814                         2.757357
## 48         96 -0.30110509  -8.111728  1.405814                         2.879640
## 50         73 -0.44628710  -7.354042  1.435976                         2.787386
## 51         54 -0.65392647  -7.278819  1.338425                         2.829324
## 53         52 -0.52763274  -6.907755  1.390462                         2.848276
## 55         30 -0.63487827  -7.641724  1.372438                         2.637144
## 56         54 -0.71334989  -7.208860  1.390462                         2.852215
## 57         49 -0.11653382  -7.264430  1.338425                         2.864362
## 59         64 -0.71334989  -7.082109  1.430692                         2.974175
## 60         53 -0.82098055  -6.812445  1.381830                         2.936028
## 61         43 -0.71334989  -7.013116  1.362172                         2.742679
## 62         33 -1.10866262  -7.662778  1.324552                         2.684529
## 63         64 -0.37106368  -7.250246  1.390462                         2.726228
## 64         54 -0.44628710  -7.195437  1.430692                         3.065368
## 65         52 -0.73396918  -8.254829  1.372438                         2.632564
## 67         54 -0.44628710  -7.523941  1.390462                         2.674201
## 68         64 -0.08338161  -7.278819  1.308996                         2.713850
## 69         43 -0.96758403  -7.957577  1.308996                         2.732330
## 70         70 -0.44628710  -7.957577  1.381830                         2.809013
## 71         52 -0.52763274  -7.505592  1.350892                         2.780093
## 72         83  0.09531018  -6.505132  1.372438                         2.928799
## 73         83 -0.15082289  -7.354042  1.338425                         2.939917
## 74         53 -0.89159812  -7.143478  1.362172                         2.916177
## 75         83 -0.52763274  -6.437752  1.430692                         2.939917
## 76         54 -0.31471074  -7.130899  1.430692                         2.818539
## 77         44 -0.47803580  -6.319969  1.462144                         2.946345
## 78         70  0.33647224  -6.502290  1.445658                         2.943646
## 80         53 -0.52763274  -6.917806  1.338425                         2.735867
## 81         44 -0.71334989  -7.902008  1.419083                         2.760303
## 82         70 -0.57981850  -7.338538  1.350892                         2.757852
## 83         44 -0.26136476  -8.804875  1.372438                         2.668760
## 84         69 -0.94160854  -7.250246  1.435976                         2.774554
## 85         44 -0.31471074  -7.182192  1.362172                         2.851530
## 86         78 -0.31471074  -6.214608  1.435976                         2.851530
## 88         64 -0.24846136  -6.917806  1.430692                         2.909446
## 90         39 -0.71334989  -8.873868  1.350892                         2.668760
## 93         64 -0.47803580  -6.959049  1.372438                         2.881737
## 94         83  0.09531018  -6.502290  1.475713                         3.032417
## 95         43 -0.82098055  -7.469874  1.405814                         2.868085
## 96         70 -0.32850407  -7.986565  1.381830                         2.827923
## 97         70 -0.57981850  -7.875339  1.381830                         2.778414
## 98         33 -1.51412773  -8.468403  1.324552                         2.694967
## 99         83 -0.63487827  -6.812445  1.405814                         2.873869
## 100        39 -0.71334989  -7.751725  1.362172                         2.722435
## 103        93 -0.35667494  -7.799353  1.405814                         2.876049
## 104        44 -0.71334989  -7.323271  1.372438                         2.705439
## 105        52 -0.52763274  -7.706263  1.372438                         2.579644
## 107        48 -0.52763274  -7.208860  1.398431                         2.752296
## 108        64 -0.61618614  -7.070274  1.338425                         2.832888
## 109        41 -0.94160854  -8.517193  1.350892                         2.646995
## 110        38 -1.02165125  -8.334872  1.435976                         2.750740
## 111        64 -0.34249031  -7.293418  1.350892                         2.636011
## 112        59 -0.18632958  -6.214608  1.425073                         2.893035
## 113        70 -0.02020271  -5.991465  1.390462                         2.875131
## 114        70 -0.69314718  -7.035589  1.381830                         2.694190
## 115        64 -0.71334989  -6.437752  1.450108                         2.845409
## 117        64 -0.52763274  -7.452482  1.398431                         2.806678
## 118        95 -0.26136476  -7.452482  1.435976                         2.968193
## 121        64 -0.56211892  -7.250246  1.398431                         3.000719
## 123        69 -1.10866262  -8.334872  1.350892                         2.706159
## 124        44 -1.04982212  -7.182192  1.338425                         2.872708
## 126        59 -0.61618614  -7.195437  1.381830                         2.715877
## 128        44 -0.31471074  -6.725434  1.454327                         2.763185
## 129        54 -1.07880966  -7.600902  1.338425                         2.690241
## 130        57 -0.07257069  -6.571283  1.372438                         2.901221
## 131        52 -0.57981850  -7.418581  1.372438                         2.532501
## 132        64 -0.71334989  -7.143478  1.362172                         2.766469
## 133        82 -0.32850407  -5.914504  1.271288                         2.786199
## 134        70  0.18232156  -6.812445  1.398431                         2.791263
## 135        64 -0.57981850  -7.250246  1.308996                         2.893035
## 136        64 -1.04982212  -6.907755  1.412679                         2.905282
## 137        41 -0.73396918  -7.902008  1.381830                         2.568127
## 139        57 -0.49429632  -7.662778  1.338425                         2.665023
## 140        70 -0.26136476  -7.250246  1.398431                         2.860121
## 141        70 -0.22314355  -6.437752  1.419083                         2.604783
## 143        64 -0.82098055  -7.561682  1.350892                         2.767852
## 144        64 -0.32850407  -7.070274  1.372438                         2.911270
## 145        33 -0.96758403  -8.180721  1.350892                         2.674201
## 146        88 -0.18632958  -6.725434  1.381830                         2.950670
## 147        70 -0.32850407  -7.024289  1.412679                         2.858842
## 148        73 -0.30110509  -6.907755  1.425073                         2.908918
## 149        52 -0.52763274  -7.875339  1.381830                         2.790112
## 152       107  0.09531018  -6.571283  1.494568                         2.984412
## 153        95 -0.18632958  -8.111728  1.372438                         2.731131
## 154        62 -0.73396918  -7.542634  1.308996                         2.579644
## 155        59 -0.96758403  -7.986565  1.372438                         2.691833
## 156        67 -0.63487827  -6.991137  1.390462                         2.926626
## 157        85 -0.52763274  -7.957577  1.324552                         2.903482
## 158        62 -0.73396918  -7.799353  1.350892                         2.557619
## 159        23 -0.71334989  -6.917806  1.450108                         2.845892
## 160        62 -0.28768207  -7.452482  1.350892                         2.769220
## 161        64 -0.31471074  -7.706263  1.419083                         2.843211
## 162        49 -0.30110509  -7.751725  1.405814                         2.875866
## 163        34 -1.27296568  -7.561682  1.390462                         2.678590
## 165        57 -0.75502258  -7.402052  1.390462                         2.788951
## 166        64 -0.94160854  -7.728736  1.350892                         2.662160
## 167        64 -0.18632958  -7.875339  1.372438                         2.843948
## 168        46 -0.28768207  -7.418581  1.350892                         2.681164
## 169        70 -0.32850407  -7.182192  1.324552                         2.824491
## 170        82 -0.32850407  -7.013116  1.372438                         2.881391
## 171        54 -0.44628710  -7.323271  1.381830                         2.823909
## 172        43 -0.71334989  -7.323271  1.381830                         2.694967
## 174        54 -0.24846136  -8.421883  1.412679                         2.886307
## 175        70 -0.26136476  -5.914504  1.435976                         2.786199
## 176        64 -0.37106368  -8.873868  1.419083                         2.823031
## 177        44 -0.57981850  -8.016418  1.338425                         2.760303
## 178        34 -0.94160854  -7.799353  1.412679                         2.704715
## 179        70 -0.02020271  -7.323271  1.398431                         2.891000
## 180        82 -0.12783337  -7.369791  1.398431                         3.008161
## 181        29 -0.57981850  -8.254829  1.291400                         2.596327
## 182        64 -0.44628710  -7.435388  1.324552                         2.773241
## 183        64 -0.96758403  -6.645391  1.372438                         2.823325
## 184        70  0.00000000  -7.561682  1.372438                         2.654255
## 185        59 -0.31471074  -6.812445  1.435976                         2.771914
## 186        45 -0.26136476  -7.208860  1.308996                         2.701785
## 189        33 -0.57981850  -7.487574  1.338425                         2.777140
## 190        54 -0.38566248  -7.293418  1.291400                         2.839703
## 191        44 -0.57981850  -7.338538  1.308996                         2.715205
## 192        54 -0.22314355  -7.684284  1.425073                         2.845409
## 193        73 -0.52763274  -7.278819  1.405814                         2.852896
## 194        44 -0.71334989  -7.469874  1.308996                         2.771023
## 195        67 -0.28768207  -7.523941  1.412679                         2.708297
## 197        82 -0.26136476  -7.118476  1.405814                         2.815134
## 198        44 -1.04982212  -7.418581  1.350892                         2.743782
## 200        43 -0.96758403  -7.662778  1.372438                         2.735867
## 201        44 -0.34249031  -7.561682  1.381830                         2.785402
## 202        48 -0.96758403  -8.294050  1.308996                         2.712482
## 205        77 -0.63487827  -7.487574  1.390462                         2.557619
## 208        44 -0.57981850  -6.948577  1.291400                         2.824491
## 210        76 -0.18632958  -7.106206  1.398431                         2.919789
## 212        44 -0.94160854  -7.621105  1.390462                         2.700297
## 213        70 -0.12783337  -6.812445  1.405814                         2.754850
## 214        41 -0.35667494  -7.013116  1.462144                         2.874020
## 215        43 -0.44628710  -7.824046  1.324552                         2.656269
## 216        44 -0.47803580  -6.119298  1.425073                         2.752811
## 218        54 -0.26136476  -6.571283  1.398431                         2.890046
## 219        44 -1.07880966  -7.684284  1.412679                         2.687819
## 220        44 -0.71334989  -7.849364  1.390462                         2.594876
## 223        43 -0.61618614  -6.917806  1.338425                         2.710405
## 224        43 -0.96758403  -7.264430  1.308996                         2.735867
## 225        53 -0.37106368  -7.418581  1.372438                         2.744330
## 226        83 -0.15082289  -7.024289  1.398431                         2.768310
## 227        74 -0.44628710  -6.214608  1.398431                         2.763659
## 228        33 -0.96758403  -7.070274  1.362172                         2.653238
## 229        45 -0.57981850  -7.621105  1.381830                         2.665023
## 230        70 -0.02020271  -7.293418  1.390462                         2.963228
## 231        57 -0.26136476  -6.907755  1.381830                         2.767393
## 232        54 -0.86750057  -7.143478  1.362172                         2.697275
## 233        34 -1.04982212  -7.469874  1.398431                         2.771023
## 234        70 -0.40047757  -7.250246  1.271288                         2.715877
## 236        57 -0.40047757  -7.621105  1.324552                         2.767393
## 237        44 -0.61618614  -7.182192  1.390462                         2.763185
## 239        33 -0.96758403  -8.217089  1.271288                         2.875683
## 240        43 -0.96758403  -8.145630  1.324552                         2.791263
## 241        45 -0.40047757  -8.047190  1.338425                         2.724975
## 242        72 -0.67334455  -7.600902  1.372438                         2.654255
## 243        44 -0.82098055  -6.938214  1.362172                         2.665966
## 244        64 -0.71334989  -7.799353  1.435976                         2.783386
## 245        23 -0.47803580  -8.740337  1.390462                         2.692623
## 246        64 -0.49429632  -7.208860  1.362172                         2.883623
## 247        39 -0.65392647  -8.180721  1.398431                         2.792403
## 249        82 -0.05129329  -7.581100  1.398431                         2.665023
## 250        72 -0.52763274  -7.600902  1.381830                         2.870614
## 251        54 -1.07880966  -7.775256  1.362172                         2.737602
## 253        64 -0.52763274  -6.502290  1.405814                         3.008576
## 254        80 -0.03045921  -7.250246  1.398431                         3.011822
## 255        73 -0.52763274  -8.740337  1.405814                         2.769220
## 256        34 -1.07880966  -8.334872  1.324552                         2.393337
## 257        44 -0.82098055  -7.775256  1.362172                         2.584357
## 258        72 -0.35667494  -6.948577  1.390462                         2.906102
## 260        64 -0.30110509  -6.938214  1.440955                         2.822737
## 261         7 -1.07880966  -8.111728  1.398431                         2.695741
## 262        39 -0.86750057  -7.308233  1.390462                         2.530419
## 263        64 -0.30110509  -7.561682  1.372438                         2.807684
## 264        69 -0.52763274  -6.502290  1.350892                         2.763185
## 265        54 -0.57981850  -7.775256  1.350892                         2.611519
## 267        70 -0.02020271  -7.047017  1.390462                         3.009810
## 268        44 -0.57981850  -7.600902  1.362172                         2.906780
## 269        33 -0.71334989  -7.875339  1.324552                         2.524026
## 270        49 -0.22314355  -7.662778  1.440955                         2.735284
## 271        64 -0.30110509  -6.959049  1.398431                         2.910232
## 272        49 -0.57981850  -7.824046  1.350892                         2.735284
## 273        78 -0.22314355  -7.222466  1.350892                         2.842468
## 274        39 -0.47803580  -7.505592  1.398431                         2.785402
## 275        53 -0.61618614  -8.047190  1.338425                         2.825933
## 277        33 -0.32850407  -6.725434  1.405814                         2.943646
## 278        53 -0.96758403  -6.725434  1.324552                         2.937016
## 279        51 -0.40047757  -7.706263  1.381830                         2.788951
## 281        82 -0.07257069  -6.571283  1.398431                         2.875131
## 282        72 -0.52763274  -8.740337  1.419083                         2.900935
## 283        92 -0.38566248  -6.725434  1.435976                         2.953166
## 287        52 -0.63487827  -7.775256  1.372438                         2.666903
## 289        33 -0.96758403  -7.542634  1.338425                         2.786596
## 290        46 -0.63487827  -7.824046  1.445658                         2.701785
## 291        57  0.00000000  -7.058578  1.475713                         2.839193
## 292        74 -0.37106368  -7.236259  1.350892                         2.848747
## 294        43 -0.82098055  -7.662778  1.308996                         2.627850
## 297        54 -0.94160854  -8.016418  1.350892                         2.751261
## 298        62 -0.94160854  -7.082109  1.291400                         2.657266
## 299        82 -0.40047757  -7.581100  1.372438                         2.788951
## 301        54 -0.94160854  -8.047190  1.362172                         2.620513
## 302        33 -0.96758403  -7.469874  1.271288                         2.584357
## 303        54 -0.38566248  -7.156217  1.308996                         2.760303
## 304        59 -0.31471074  -7.728736  1.445658                         2.700297
## 305        73 -0.30110509  -6.980326  1.390462                         2.905965
## 306        74 -0.24846136  -7.106206  1.412679                         2.732330
## 307        64 -0.37106368  -5.914504  1.372438                         2.945455
## 308        33 -0.96758403  -6.725434  1.381830                         2.781750
## 311        54 -0.71334989  -7.600902  1.412679                         2.854245
## 312        64 -0.52763274  -7.293418  1.390462                         2.810980
## 313        54 -0.71334989  -7.505592  1.440955                         2.800812
## 314        44 -0.38566248  -8.334872  1.324552                         2.568127
## 315        48 -0.61618614  -7.024289  1.372438                         2.846133
## 316        41 -0.57981850  -7.799353  1.338425                         2.603403
## 317        62 -0.52763274  -7.581100  1.350892                         2.766469
## 320        62 -0.44628710  -6.725434  1.308996                         2.666903
## 321        52 -0.86750057  -7.728736  1.324552                         2.738746
## 322        64 -0.41551544  -6.377127  1.398431                         2.863047
## 323        54 -0.15082289  -7.195437  1.338425                         2.913692
## 324        43 -0.71334989  -8.468403  1.271288                         2.847566
## 325        54 -0.47803580  -6.907755  1.398431                         3.006900
## 326        44 -0.71334989  -7.986565  1.398431                         2.864685
## 327        82 -0.02020271  -7.293418  1.398431                         2.897137
## 329        44 -0.61618614  -7.775256  1.405814                         2.749166
## 330        70 -0.26136476  -6.571283  1.381830                         2.713850
## 331        49 -0.71334989  -7.236259  1.372438                         2.678590
## 332        54 -0.57981850  -7.024289  1.362172                         2.748106
## 333        69 -0.08338161  -7.236259  1.350892                         2.862841
##            MIF     MMP10       MMP7 NT_proBNP       PAI_1
## 1   -1.2378744 -3.270169 -3.7735027  4.553877  1.00350156
## 2   -1.8971200 -3.649659 -5.9681907  4.219508 -0.03059880
## 3   -2.3025851 -2.733368 -4.0302269  4.248495  0.43837211
## 5   -1.8971200 -2.617296 -0.2222222  4.465908  0.25230466
## 6   -2.0402208 -3.324236 -1.9223227  4.189655  0.43837211
## 7   -2.1202635 -4.135167 -5.9681907  4.330733  0.00000000
## 8   -1.7719568 -3.688879 -2.4721360  3.828641  0.49054798
## 9   -2.2072749 -4.017384 -5.8446454  5.043425 -0.47754210
## 11  -1.5141277 -3.963316 -3.7735027  4.875197  0.25230466
## 12  -1.7147984 -3.244194 -3.0000000  4.727388  0.25230466
## 14  -2.0402208 -3.575551 -1.3806170  4.691348  0.32004747
## 16  -1.5141277 -3.123566 -4.0302269  5.323010  0.49054798
## 17  -1.9661129 -3.411248 -2.8507125  4.595120  0.32004747
## 18  -2.3330443 -3.963316 -1.2879797  3.931826  0.32004747
## 19  -1.7147984 -4.074542 -3.3452248  4.290459  0.53887915
## 20  -2.3538784 -2.563950 -0.6037782  3.784190  0.85893499
## 21  -1.4696760 -3.324236 -3.3452248  5.262690 -0.65480247
## 22  -1.4696760 -3.611918 -4.0302269  4.828314 -0.15428707
## 23  -2.1202635 -4.135167 -6.3770782  3.663562 -0.04107298
## 24  -1.7147984 -3.381395 -4.3245553  4.709530 -0.21752413
## 25  -2.1202635 -3.506558 -4.0302269  4.672829 -0.72247798
## 26  -1.5606477 -3.381395 -3.5470020  4.499810  0.09396047
## 28  -1.8971200 -3.381395 -4.0302269  4.465908 -0.05168998
## 29  -1.8971200 -3.772261 -2.2640143  3.931826 -0.87443088
## 30  -2.4079456 -3.863233 -3.7735027  4.317488 -0.14221210
## 31  -2.1202635 -3.244194 -3.3452248  4.828314  0.09396047
## 34  -1.8971200 -3.270169 -2.8507125  4.770685  0.58384004
## 35  -1.8325815 -3.506558 -2.5883147  4.605170  0.00000000
## 36  -1.8325815 -3.218876 -0.7216553  4.718499  0.00000000
## 37  -1.4696760 -3.218876 -3.7735027  4.595120  0.09396047
## 38  -1.7147984 -3.270169 -4.7040152  4.605170  0.25230466
## 39  -1.8325815 -4.074542 -4.5938047  4.262680  0.09396047
## 40  -2.1202635 -3.912023 -1.6514837  4.499810  0.32004747
## 41  -1.5141277 -3.270169 -3.7735027  4.983607  0.25230466
## 42  -1.7719568 -3.816713 -4.3245553  4.700480 -0.11859478
## 43  -2.2072749 -3.218876 -3.1639778  4.304065 -0.28605071
## 44  -1.8971200 -3.123566 -4.4888568  4.736198  0.62582535
## 45  -1.3470736 -2.764621 -2.1702883  4.634729  0.17742506
## 46  -1.8325815 -3.270169 -1.1622777  4.499810  0.17742506
## 47  -1.8325815 -3.649659 -2.8507125  4.976734 -0.11859478
## 48  -1.1711830 -3.816713 -4.0302269  4.919981  0.49054798
## 50  -1.6607312 -2.645075 -3.5470020  5.129899  0.17742506
## 51  -1.9661129 -4.074542 -4.6666667  4.795791 -0.40885871
## 53  -1.8971200 -3.411248 -3.7735027  4.127134  0.09396047
## 55  -2.1202635 -3.540459 -6.6874449  4.127134  0.09396047
## 56  -1.8325815 -3.729701 -4.3245553  5.062595  0.17742506
## 57  -1.2729657 -3.442019 -2.8507125  4.574711  0.49054798
## 59  -1.7147984 -3.772261 -3.0000000  5.036953  1.10005082
## 60  -2.2072749 -4.074542 -4.3887656  4.736198 -0.27188464
## 61  -2.1202635 -4.017384 -3.5470020  4.488636 -0.25795574
## 62  -2.3538784 -4.422849 -6.7705802  4.574711 -0.55204550
## 63  -1.5606477 -3.688879 -3.7735027  4.948760 -0.01006550
## 64  -1.6607312 -3.101093 -1.0151134  5.181784  0.76993928
## 65  -2.0402208 -3.649659 -4.0302269  4.143135  0.09396047
## 67  -1.3470736 -3.772261 -6.3045480  4.859812 -0.16654597
## 68  -1.1394343 -3.540459 -4.3245553  3.610918 -0.04107298
## 69  -2.2072749 -4.342806 -5.7849894  4.304065 -0.11859478
## 70  -1.6607312 -3.324236 -3.3452248  5.003946  0.17742506
## 71  -2.1202635 -4.135167 -4.0302269  4.605170  0.73700033
## 72  -1.7147984 -3.506558 -4.0302269  4.634729  0.09396047
## 73  -1.6094379 -3.324236 -5.2074997  4.795791  0.58384004
## 74  -2.3751558 -2.995732 -2.0000000  4.406719  0.49054798
## 75  -2.3330443 -3.015935 -2.4721360  4.820282  0.58384004
## 76  -1.5141277 -2.577022 -2.7140452  4.770685  0.73700033
## 77  -1.5606477 -3.473768 -4.5582584  4.727388  0.76993928
## 78  -1.6607312 -3.036554 -3.1639778  4.990433  0.83076041
## 80  -1.6094379 -3.411248 -2.3643578  4.770685  0.17742506
## 81  -1.8971200 -3.540459 -3.7735027  4.859812 -0.14221210
## 82  -1.8971200 -3.473768 -4.0302269  4.406719  0.17742506
## 83  -1.8971200 -3.411248 -3.5470020  4.595120 -0.16654597
## 84  -1.6607312 -3.575551 -3.3452248  4.543295  0.32004747
## 85  -1.7147984 -3.688879 -3.7735027  5.468060  0.43837211
## 86  -1.4696760 -3.123566 -2.7140452  5.117994  0.25230466
## 88  -1.2729657 -3.270169 -3.1639778  4.727388  0.38177502
## 90  -2.3025851 -4.509860 -8.3975049  3.178054 -0.63330256
## 93  -1.8325815 -3.688879 -3.5470020  4.317488  0.38177502
## 94  -1.4271164 -2.645075 -1.4299717  5.886104  0.80114069
## 95  -2.1202635 -3.688879 -2.7140452  4.762174  0.17742506
## 96  -1.6094379 -3.816713 -3.3452248  4.521789 -0.23078200
## 97  -2.0402208 -3.649659 -4.5938047  4.543295 -0.05168998
## 98  -2.2072749 -4.342806 -7.3250481  4.477337 -0.51401261
## 99  -2.1202635 -3.963316 -3.5935279  4.290459  0.62582535
## 100 -1.8971200 -3.649659 -5.1611487  4.634729  0.25230466
## 103 -1.8325815 -2.995732 -3.2335542  4.663439  0.43837211
## 104 -1.5606477 -3.963316 -4.8199434  4.430817 -0.17899381
## 105 -1.8971200 -3.863233 -5.5592895  4.454347 -0.27188464
## 107 -1.6607312 -3.575551 -1.3806170  4.369448  0.00000000
## 108 -2.0402208 -3.912023 -1.9223227  4.682131  0.09396047
## 109 -2.4304185 -4.667046 -7.5346259  4.465908 -0.24425708
## 110 -2.2072749 -3.963316 -4.3245553  4.043051 -0.06245326
## 111 -1.4271164 -3.575551 -1.2879797  4.110874 -0.47754210
## 112 -1.5606477 -2.631089 -3.3452248  5.323010  0.17742506
## 113 -1.9661129 -2.995732 -2.3643578  4.787492  0.70214496
## 114 -2.1202635 -4.199705 -5.1156807  4.543295 -0.24425708
## 115 -1.5606477 -3.381395 -2.2640143  4.700480 -0.13031621
## 117 -1.8971200 -3.575551 -4.3564173  4.812184  0.38177502
## 118 -1.1086626 -2.207275 -2.3643578  4.700480  0.83076041
## 121 -1.6607312 -3.575551 -0.4253563  5.062595  0.53887915
## 123 -2.5510465 -4.199705 -2.0000000  4.304065 -0.42552800
## 124 -1.7719568 -3.863233 -3.1639778  4.875197  0.00000000
## 126 -1.8971200 -4.268698 -4.8199434  4.912655 -0.19163579
## 128 -1.8971200 -3.272534 -1.2025631  4.962845  0.95939061
## 129 -2.1202635 -4.017384 -5.9056942  4.624973 -0.57168558
## 130 -1.9661129 -4.017384 -3.7735027  5.159055  0.25230466
## 131 -2.3126354 -3.863233 -5.0710678  4.025352 -0.34523643
## 132 -2.2072749 -3.506558 -4.0302269  4.442651 -0.08443323
## 133 -1.8325815 -3.912023 -2.4721360  4.672829  0.09396047
## 134 -1.0216512 -2.813411 -0.5000000  4.727388  0.43837211
## 135 -1.9661129 -4.017384 -4.3245553  4.584967  0.00000000
## 136 -2.0402208 -3.575551 -2.4721360  4.727388  0.43837211
## 137 -2.2072749 -3.963316 -4.6299354  4.488636 -0.01006550
## 139 -1.7719568 -3.442019 -3.3452248  4.543295 -0.59176325
## 140 -1.4271164 -3.729701 -4.0302269  4.406719  0.00000000
## 141 -1.8325815 -4.074542 -3.1639778  4.820282  0.25230466
## 143 -2.1202635 -3.688879 -3.5470020  4.574711  0.00000000
## 144 -2.0402208 -3.912023 -3.7735027  4.276666  0.49054798
## 145 -2.3025851 -4.074542 -5.0272837  4.276666 -0.63330256
## 146 -1.6094379 -2.975930 -2.1702883  4.406719  0.43837211
## 147 -1.2378744 -3.270169 -3.7735027  4.634729  0.43837211
## 148 -1.8325815 -3.411248 -1.7139068  4.543295  0.09396047
## 149 -2.2072749 -3.688879 -1.7139068  4.290459 -0.27188464
## 152 -0.8439701 -3.244194 -2.0824829  4.682131  0.88578467
## 153 -1.7147984 -3.473768 -3.5470020  4.672829  0.00000000
## 154 -2.1202635 -4.422849 -5.9681907  3.806662 -0.36070366
## 155 -1.8971200 -3.963316 -5.2547625  4.442651 -0.24425708
## 156 -2.3126354 -3.506558 -1.1622777  4.369448  0.43837211
## 157 -1.9661129 -3.912023 -3.1639778  4.770685  1.00350156
## 158 -2.0402208 -3.575551 -5.1611487  3.828641 -0.51401261
## 159 -2.1202635 -4.074542 -4.3245553  4.859812  0.17742506
## 160 -1.8971200 -3.540459 -4.5582584  4.454347 -0.07336643
## 161 -1.7147984 -3.963316 -5.0710678  5.081404 -0.69936731
## 162 -1.2378744 -4.074542 -3.7735027  4.406719 -0.07336643
## 163 -2.0402208 -4.509860 -6.6874449  4.262680 -0.57168558
## 165 -1.6607312 -3.473768 -3.5470020  4.499810  0.25230466
## 166 -1.7719568 -4.074542 -5.4023321  4.624973 -0.31512364
## 167 -1.4696760 -2.864704 -1.5921060  4.605170 -0.42552800
## 168 -2.3025851 -3.772261 -0.9814240  4.025352 -0.42552800
## 169 -2.1202635 -4.342806 -2.0000000  4.465908  0.00000000
## 170 -1.4696760 -4.933674 -2.0000000  4.499810 -0.10704332
## 171 -1.8325815 -3.270169 -4.9421013  4.948760 -0.45985790
## 172 -2.2072749 -4.074542 -5.2074997  4.510860 -0.65480247
## 174 -1.7147984 -3.101093 -1.5921060  4.595120  0.17742506
## 175 -1.8325815 -2.343407 -2.5883147  4.584967  0.58384004
## 176 -1.7147984 -3.912023 -5.0710678  5.003946  0.32004747
## 177 -1.8325815 -3.473768 -4.7419986  4.770685  0.25230466
## 178 -1.9661129 -3.688879 -4.0302269  4.682131 -0.82104815
## 179 -2.3751558 -2.659260 -2.1884251  4.983607 -0.01006550
## 180 -1.8971200 -3.649659 -2.0000000  4.727388 -0.10704332
## 181 -2.1202635 -4.135167 -5.5592895  4.382027  0.17742506
## 182 -1.8971200 -3.912023 -5.0710678  4.553877  0.49054798
## 183 -2.5133061 -3.611918 -3.7735027  4.406719  0.17742506
## 184 -1.3093333 -3.473768 -5.4023321  4.653960  0.38177502
## 185 -2.0402208 -3.324236 -4.4549722  4.948760  0.49054798
## 186 -1.8325815 -3.688879 -5.0272837  4.304065 -0.08443323
## 189 -1.6607312 -3.772261 -6.0321933  4.672829  0.09396047
## 190 -1.6607312 -3.912023 -4.0302269  4.174387  0.32004747
## 191 -1.7147984 -3.101093 -6.8561489  4.700480 -0.63330256
## 192 -1.4271164 -3.473768 -4.3245553  4.382027  0.25230466
## 193 -1.4696760 -3.473768 -3.5470020  5.283204  1.00350156
## 194 -2.0402208 -3.688879 -2.8507125  4.787492  0.17742506
## 195 -2.0402208 -3.473768 -1.1234752  4.488636  0.43837211
## 197 -0.9416085 -3.575551 -2.2640143  5.204007 -0.25795574
## 198 -2.1202635 -4.135167 -5.5058663  4.077537 -0.82104815
## 200 -1.6607312 -3.575551 -4.0302269  4.812184  0.00000000
## 201 -1.8325815 -3.540459 -3.3452248  4.204693 -0.06245326
## 202 -2.2072749 -4.074542 -6.6066297  4.204693 -0.49558921
## 205 -1.8971200 -3.411248 -2.0000000  4.369448  0.32004747
## 208 -2.0402208 -3.816713 -5.0710678  4.382027 -0.27188464
## 210 -2.2072749 -3.170086 -3.0000000  5.241747  0.53887915
## 212 -1.8325815 -4.342806 -4.0302269  4.644391 -0.20447735
## 213 -1.9661129 -3.101093 -3.0000000  4.836282 -0.08443323
## 214 -2.0402208 -3.218876 -3.3452248  4.304065  1.16610855
## 215 -1.9661129 -3.912023 -1.6514837  4.430817 -0.39250510
## 216 -2.1202635 -3.473768 -4.4549722  3.663562  0.25230466
## 218 -1.9661129 -3.381395 -2.2640143  4.204693  0.66516665
## 219 -1.8971200 -4.199705 -5.1611487  4.787492 -0.15428707
## 220 -1.8325815 -3.816713 -5.8446454  4.897840 -0.65480247
## 223 -2.1202635 -3.575551 -3.3452248  4.828314 -0.51401261
## 224 -2.0402208 -3.912023 -5.8446454  4.304065  0.00000000
## 225 -1.8971200 -4.135167 -5.5058663  4.394449  0.17742506
## 226 -1.7147984 -3.575551 -3.0000000  4.442651  0.43837211
## 227 -2.3859667 -3.649659 -3.0000000  4.077537  0.00000000
## 228 -2.3025851 -3.963316 -1.4299717  4.553877 -0.63330256
## 229 -2.0402208 -3.270169 -0.4077171  4.248495 -0.21752413
## 230 -1.2729657 -3.123566 -2.7140452  4.691348  0.43837211
## 231 -1.9661129 -3.912023 -4.4888568  4.595120  0.00000000
## 232 -1.7719568 -4.135167 -5.3521462  4.143135  0.00000000
## 233 -2.1202635 -3.688879 -5.3029674  4.043051 -0.24425708
## 234 -1.8971200 -3.352407 -3.3452248  4.521789 -0.61229604
## 236 -2.0402208 -3.575551 -4.0302269  4.382027 -0.65480247
## 237 -1.8971200 -3.688879 -4.0302269  4.574711 -0.09565753
## 239 -2.3859667 -4.199705 -4.0302269  4.394449  0.09396047
## 240 -2.1202635 -4.017384 -4.0302269  4.442651 -0.42552800
## 241 -1.6607312 -3.611918 -3.7735027  4.859812  0.00000000
## 242 -2.6736488 -3.506558 -1.7796447  3.828641  0.25230466
## 243 -2.0402208 -3.772261 -4.6299354  5.075174  0.49054798
## 244 -1.7147984 -3.079114 -3.7735027  5.225747  0.85893499
## 245 -2.3968958 -4.342806 -6.4515425  3.871201 -0.16654597
## 246 -2.3330443 -3.324236 -2.7140452  4.510860  0.25230466
## 247 -1.8325815 -3.863233 -4.7806350  4.553877 -0.57168558
## 249 -1.4696760 -3.863233 -5.4023321  4.820282  0.00000000
## 250 -2.3025851 -3.611918 -4.5582584  4.234107  0.09396047
## 251 -1.8325815 -4.017384 -4.6299354  4.553877 -0.55204550
## 253 -1.8325815 -3.863233 -2.7140452  4.962845  0.58384004
## 254 -1.8325815 -3.036554 -2.3643578  5.411646  0.09396047
## 255 -1.4271164 -3.270169 -2.2640143  4.875197  0.09396047
## 256 -1.7719568 -4.342806 -6.3770782  4.859812 -0.59176325
## 257 -2.3330443 -3.863233 -5.7266741  4.543295 -0.37645673
## 258 -1.8971200 -3.270169 -3.1639778  4.553877  0.09396047
## 260 -1.7719568 -3.611918 -6.6066297  4.204693  0.09396047
## 261 -2.3751558 -4.342806 -7.1287093  4.406719 -0.07336643
## 262 -1.6094379 -4.422849 -5.7266741  4.077537 -0.53282641
## 263 -1.2378744 -3.772261 -1.2879797  3.871201 -0.15428707
## 264 -2.0402208 -3.442019 -2.0824829  5.707110  0.17742506
## 265 -1.9661129 -3.863233 -6.0977633  3.433987  0.09396047
## 267 -1.4696760 -3.816713 -2.0000000  4.882802  0.66516665
## 268 -1.2729657 -3.296837 -3.5470020  4.465908 -0.47754210
## 269 -2.2072749 -4.342806 -5.5058663  4.624973 -0.99084860
## 270 -1.5606477 -4.135167 -1.8490018  4.025352 -0.07336643
## 271 -1.5606477 -3.352407 -2.2640143  4.488636 -0.02026405
## 272 -1.5141277 -4.605170 -4.4216130  4.564348 -0.10704332
## 273 -1.3862944 -3.506558 -3.0000000  4.043051  0.32004747
## 274 -1.6094379 -3.963316 -5.6696499  3.970292 -0.03059880
## 275 -1.7719568 -3.540459 -4.0302269  4.442651  0.17742506
## 277 -1.9661129 -3.611918 -1.7139068  4.143135  0.53887915
## 278 -2.2072749 -3.772261 -3.1639778  4.663439 -0.10704332
## 279 -1.8971200 -4.017384 -3.1639778  4.753590 -0.13031621
## 281 -1.7719568 -3.170086 -3.3452248  4.276666  0.70214496
## 282 -1.8971200 -3.194183 -3.7735027  3.828641  0.38177502
## 283 -1.5545112 -3.473768 -4.0302269  4.477337  0.43837211
## 287 -2.1202635 -3.218876 -3.7735027  4.454347  0.09396047
## 289 -2.5383074 -4.342806 -5.3029674  3.951244 -0.23078200
## 290 -2.1202635 -3.649659 -3.5470020  3.610918  0.09396047
## 291 -1.4271164 -2.830218 -0.9814240  4.356709  0.70214496
## 292 -1.8325815 -3.381395 -4.0302269  4.779123  0.32004747
## 294 -2.4769385 -3.963316 -6.0977633  4.553877 -0.55204550
## 297 -2.0402208 -4.199705 -4.3887656  4.564348 -0.16654597
## 298 -2.5010360 -3.963316 -5.5058663  3.951244  0.00000000
## 299 -1.4271164 -3.772261 -5.1156807  4.927254  0.09396047
## 301 -1.8325815 -4.268698 -4.4549722  4.356709 -0.17899381
## 302 -2.8473123 -3.863233 -4.0302269  4.343805 -0.63330256
## 303 -1.9661129 -4.268698 -5.2547625  4.442651 -0.20447735
## 304 -1.6094379 -3.079114 -3.0000000  5.111988  0.62582535
## 305 -1.3862944 -3.540459 -3.7735027  4.682131  0.73700033
## 306 -1.7147984 -3.729701 -4.4216130  4.595120  0.38177502
## 307 -1.8325815 -3.324236 -3.5470020  4.779123  0.85893499
## 308 -1.7719568 -3.816713 -6.9442719  4.595120  0.09396047
## 311 -2.1202635 -3.649659 -3.7735027  4.770685 -0.11859478
## 312 -1.6607312 -3.296837 -3.7735027  4.912655  0.32004747
## 313 -1.7719568 -4.074542 -5.0710678  4.317488  0.17742506
## 314 -1.5141277 -3.863233 -6.5280287  4.709530 -0.17899381
## 315 -1.9661129 -3.688879 -3.7735027  4.418841 -0.09565753
## 316 -2.0402208 -3.688879 -5.1611487  4.290459  0.25230466
## 317 -2.2072749 -3.381395 -4.9421013  4.653960 -0.04107298
## 320 -2.3025851 -3.381395 -4.6299354  4.465908 -0.28605071
## 321 -2.6310892 -4.199705 -4.6666667  3.784190 -0.10704332
## 322 -1.8971200 -3.649659 -0.8867513  4.912655  0.49054798
## 323 -1.3862944 -3.540459 -3.5470020  5.135798  0.32004747
## 324 -1.6607312 -3.963316 -6.3045480  4.875197  0.25230466
## 325 -1.7719568 -3.352407 -4.3245553  4.488636  0.85893499
## 326 -1.9661129 -3.352407 -3.7735027  4.510860  0.09396047
## 327 -1.1086626 -3.381395 -0.7472113  4.890349  0.53887915
## 329 -1.8971200 -3.506558 -4.9843030  4.465908  0.17742506
## 330 -2.5010360 -3.352407 -1.2025631  4.744932  0.09396047
## 331 -1.6607312 -3.912023 -6.1649658  4.304065 -0.09565753
## 332 -1.2729657 -3.816713 -3.7735027  4.189655  0.17742506
## 333 -1.3093333 -3.772261 -5.5058663  4.465908 -0.53282641
##     Pancreatic_polypeptide     TNF_RII    TRAIL_R3
## 1               0.57878085 -0.06187540 -0.18290044
## 2               0.33647224 -0.32850407 -0.50074709
## 3              -0.89159812 -0.41551544 -0.92403445
## 5               0.26236426 -0.34249031 -0.85825911
## 6              -0.47803580 -0.94160854 -0.73800921
## 7              -0.59783700 -0.77652879 -0.62997381
## 8              -0.31471074 -0.91629073 -0.56347899
## 9              -0.52763274 -0.94160854 -0.75712204
## 11             -1.27296568 -0.51082562 -0.37116408
## 12              1.16315081 -0.71334989 -0.68264012
## 14             -0.37106368 -0.61618614 -0.54746226
## 16              0.33647224 -0.28768207 -0.48559774
## 17              0.78845736 -0.69314718  0.00000000
## 18             -0.59783700 -0.77652879 -0.75712204
## 19              0.18232156 -0.79850770 -0.41274719
## 20             -0.26136476 -0.75502258 -0.85825911
## 21              0.69314718 -0.65392647  0.26936976
## 22             -1.23787436 -0.04082199 -0.20634242
## 23             -0.82098055 -0.59783700 -0.56347899
## 24             -0.04082199 -0.43078292 -0.25465110
## 25             -1.27296568 -0.82098055 -0.70078093
## 26              0.09531018 -0.43078292 -0.37116408
## 28              0.40546511 -0.22314355 -0.70078093
## 29              0.09531018 -1.02165125 -0.83723396
## 30              0.09531018 -0.89159812 -0.94693458
## 31              0.33647224 -0.73396918 -0.62997381
## 34              0.91629073 -0.65392647 -0.13734056
## 35              0.53062825 -0.89159812 -0.64724718
## 36             -0.75502258 -0.67334455 -0.68264012
## 37             -0.10536052 -0.30110509 -0.34425042
## 38             -0.63487827 -0.65392647 -0.56347899
## 39             -0.71334989 -0.46203546 -0.57973042
## 40             -0.51082562 -0.44628710 -0.47064906
## 41              0.18232156 -0.75502258 -0.47064906
## 42             -1.27296568 -0.69314718 -0.73800921
## 43              0.00000000 -0.86750057 -0.48559774
## 44              0.47000363 -0.24846136 -0.64724718
## 45              0.64185389 -0.02020271 -0.21823750
## 46             -0.26136476 -0.38566248 -0.57973042
## 47              0.18232156 -0.79850770 -0.64724718
## 48              0.69314718 -0.27443685 -0.13734056
## 50             -0.41551544 -0.54472718  0.00000000
## 51             -0.96758403 -0.38566248 -0.73800921
## 53             -0.34249031 -0.71334989 -0.53167272
## 55              0.26236426 -0.63487827 -0.47064906
## 56             -0.46203546 -0.63487827 -0.37116408
## 57              1.06471074 -0.31471074 -0.27956244
## 59             -0.32850407 -0.30110509 -0.56347899
## 60              0.95551145 -0.59783700 -0.53167272
## 61             -0.09431068 -1.04982212 -0.79641472
## 62             -0.73396918 -1.20397280 -1.09654116
## 63              0.91629073 -0.27443685 -0.33102365
## 64              0.83290912 -0.44628710 -0.44133043
## 65              0.83290912 -0.73396918 -0.68264012
## 67             -0.32850407 -0.18632958 -0.56347899
## 68              0.26236426 -0.51082562 -0.31794508
## 69             -0.16251893 -1.04982212 -1.09654116
## 70              0.26236426 -0.61618614 -0.39871863
## 71              0.40546511 -0.46203546 -0.61296931
## 72             -0.59783700  0.33647224 -0.21823750
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## 74              0.53062825 -1.34707365 -0.90163769
## 75              0.69314718 -0.67334455 -0.77658561
## 76              1.02961942  0.00000000 -0.30501103
## 77              0.83290912 -0.41551544 -0.31794508
## 78              1.52605630 -0.06187540 -0.10425819
## 80              0.33647224 -0.65392647 -0.47064906
## 81             -0.63487827 -0.59783700 -0.62997381
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## 83             -0.40047757 -0.82098055 -0.44133043
## 84             -0.63487827 -0.57981850 -0.54746226
## 85             -0.32850407 -0.31471074 -0.37116408
## 86              1.93152141 -0.26136476 -0.30501103
## 88              0.47000363 -0.30110509 -0.17134851
## 90             -0.40047757 -1.38629436 -0.81662520
## 93              0.18232156 -0.24846136 -0.44133043
## 94              1.25276297  0.47000363  0.00000000
## 95              0.47000363 -0.63487827 -0.54746226
## 96             -0.79850770 -0.63487827 -0.54746226
## 97             -0.67334455 -0.51082562 -0.71923319
## 98             -1.02165125 -1.10866262 -0.92403445
## 99              0.91629073 -0.19845094 -0.57973042
## 100            -0.23572233 -0.49429632 -0.48559774
## 103            -0.19845094 -0.05129329 -0.38485910
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## 105             0.26236426 -0.59783700 -0.75712204
## 107            -0.16251893 -0.59783700 -0.47064906
## 108            -0.03045921 -0.51082562 -0.61296931
## 109            -0.71334989 -0.94160854 -1.21070858
## 110            -2.12026354 -0.89159812 -0.75712204
## 111            -0.40047757 -0.77652879 -0.75712204
## 112             1.64865863 -0.27443685 -0.27956244
## 113             0.69314718  0.00000000 -0.42694948
## 114            -0.73396918 -1.07880966 -0.83723396
## 115             1.09861229 -0.71334989 -0.42694948
## 117             0.18232156 -0.47803580 -0.42694948
## 118            -1.27296568 -0.18632958 -0.42694948
## 121             0.18232156  0.09531018 -0.13734056
## 123            -0.23572233 -1.13943428 -0.99435191
## 124             0.09531018 -0.44628710 -0.20634242
## 126            -0.52763274 -0.84397007 -0.38485910
## 128             0.47000363 -0.43078292 -0.27956244
## 129            -0.75502258 -1.23787436 -0.70078093
## 130             0.58778666 -0.44628710 -0.39871863
## 131             0.78845736 -0.94160854 -0.87972006
## 132            -0.31471074 -0.67334455 -0.62997381
## 133            -0.52763274 -0.57981850 -0.92403445
## 134             1.25276297 -0.44628710 -0.31794508
## 135            -0.31471074 -0.52763274 -0.53167272
## 136             0.69314718 -0.65392647 -0.38485910
## 137            -0.34249031 -1.13943428 -1.04412698
## 139            -0.47803580 -0.86750057 -0.47064906
## 140             1.19392247 -0.69314718 -0.48559774
## 141             0.18232156 -0.41551544 -0.34425042
## 143             0.99325177 -1.02165125 -0.61296931
## 144             0.58778666 -0.52763274 -0.64724718
## 145            -0.86750057 -0.89159812 -0.39871863
## 146             1.33500107 -0.17435339 -0.53167272
## 147             0.78845736 -0.15082289 -0.47064906
## 148             0.00000000 -0.52763274 -0.94693458
## 149            -1.10866262 -0.71334989 -0.97036428
## 152             1.13140211  0.00000000 -0.18290044
## 153             0.64185389 -0.56211892 -0.41274719
## 154            -0.71334989 -0.86750057 -0.85825911
## 155            -0.86750057 -0.79850770 -0.75712204
## 156            -0.26136476 -0.41551544 -0.61296931
## 157             0.26236426 -0.67334455 -0.42694948
## 158            -0.96758403 -0.79850770 -0.81662520
## 159             0.18232156 -0.91629073 -0.75712204
## 160             0.33647224 -0.26136476 -0.59622443
## 161            -1.27296568 -0.43078292 -0.30501103
## 162            -0.40047757 -0.38566248 -0.42694948
## 163            -0.96758403 -0.94160854 -0.75712204
## 165            -1.07880966 -0.40047757 -0.44133043
## 166            -0.23572233 -0.75502258 -0.79641472
## 167            -1.34707365 -0.26136476 -0.30501103
## 168            -0.82098055 -0.38566248 -0.62997381
## 169            -0.47803580 -0.86750057 -0.51610326
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## 171            -0.09431068 -0.59783700 -0.38485910
## 172            -0.16251893 -1.10866262 -0.62997381
## 174             0.83290912 -0.51082562 -0.51610326
## 175             0.33647224 -0.24846136 -0.31794508
## 176             0.64185389 -0.69314718 -0.56347899
## 177            -0.16251893 -0.54472718 -0.68264012
## 178            -0.99425227 -1.30933332 -0.51610326
## 179            -0.34249031 -0.26136476 -0.54746226
## 180             0.58194114  0.09531018 -0.21823750
## 181            -0.47803580 -0.91629073 -0.97036428
## 182            -0.09431068 -0.75502258 -0.61296931
## 183            -1.42711636 -0.86750057 -0.68264012
## 184            -0.31471074 -0.63487827 -0.37116408
## 185             0.78845736 -0.56211892 -0.15990607
## 186             0.64185389 -0.82098055 -0.30501103
## 189             1.56861592 -0.52763274 -0.68264012
## 190            -0.40047757 -0.35667494 -0.47064906
## 191            -1.96611286 -0.69314718 -0.68264012
## 192             1.30833282 -0.15082289 -0.38485910
## 193             0.87546874 -0.32850407 -0.47064906
## 194            -0.52763274 -0.75502258 -0.70078093
## 195            -0.46203546 -0.24846136 -0.47064906
## 197            -0.23572233 -0.24846136 -0.06149412
## 198            -1.23787436 -0.91629073 -0.79641472
## 200            -0.49429632 -0.59783700 -0.79641472
## 201            -0.23572233 -0.77652879 -0.38485910
## 202            -0.86750057 -1.13943428 -0.79641472
## 205            -0.41551544 -0.73396918 -0.59622443
## 208             0.00000000 -0.54472718 -0.62997381
## 210             0.47000363 -0.28768207 -0.21823750
## 212             1.93152141 -0.89159812 -0.71923319
## 213             1.19392247 -0.46203546 -0.41274719
## 214             0.87546874 -0.32850407 -0.71923319
## 215             0.47000363 -0.75502258 -0.68264012
## 216            -0.31471074 -1.07880966 -0.38485910
## 218            -0.01005034 -0.82098055 -0.51610326
## 219             0.87546874 -1.02165125 -0.68264012
## 220            -0.37106368 -0.96758403 -0.71923319
## 223             0.91629073 -0.59783700 -0.62997381
## 224            -0.73396918 -0.89159812 -0.70078093
## 225            -0.49429632 -0.26136476 -0.34425042
## 226             0.18232156  0.09531018 -0.41274719
## 227             1.19392247 -0.63487827 -0.50074709
## 228            -0.31471074 -0.94160854 -0.71923319
## 229            -0.73396918 -1.07880966 -0.57973042
## 230             1.62924054 -0.26136476 -0.42694948
## 231            -0.67334455 -0.65392647 -0.51610326
## 232            -0.40047757 -0.73396918 -0.42694948
## 233            -0.63487827 -0.96758403 -0.90163769
## 234             0.74193734 -0.79850770 -0.56347899
## 236            -0.94160854 -0.84397007 -0.56347899
## 237             1.09861229 -0.67334455 -0.51610326
## 239            -0.16251893 -0.99425227 -0.77658561
## 240             0.18232156 -0.96758403 -0.83723396
## 241            -0.31471074 -0.65392647 -0.54746226
## 242             0.99325177 -0.44628710 -0.35762924
## 243            -0.02020271 -1.07880966 -0.75712204
## 244             0.74193734 -0.30110509 -0.41274719
## 245            -0.40047757 -1.38629436 -0.77658561
## 246             0.58778666 -0.51082562 -0.41274719
## 247            -0.16251893 -1.07880966 -0.70078093
## 249            -1.07880966 -0.03045921 -0.15990607
## 250            -0.82098055 -0.51082562 -0.50074709
## 251             0.09531018 -0.82098055 -0.68264012
## 253             0.33647224 -0.41551544 -0.42694948
## 254            -0.59783700  0.26236426  0.18568645
## 255            -0.63487827 -0.22314355  0.00000000
## 256             0.53062825 -1.04982212 -0.64724718
## 257            -0.09431068 -1.13943428 -0.64724718
## 258             0.33647224 -0.34249031 -0.34425042
## 260            -0.69314718 -0.69314718 -0.41274719
## 261             0.00000000 -0.91629073 -0.71923319
## 262            -0.69314718 -1.10866262 -0.90163769
## 263            -1.13943428 -0.47803580 -0.47064906
## 264             0.60449978 -0.38566248 -0.06149412
## 265             0.91629073 -0.75502258 -0.81662520
## 267             0.83290912 -0.02020271 -0.18290044
## 268             0.40546511 -0.34249031 -0.44133043
## 269            -1.42711636 -0.75502258 -0.34425042
## 270            -0.47803580 -0.19845094 -0.41274719
## 271            -0.23572233 -0.17435339 -0.20634242
## 272            -0.23572233 -0.77652879 -0.53167272
## 273             0.09531018 -0.22314355 -0.38485910
## 274            -1.13943428 -0.57981850 -0.38485910
## 275            -0.49429632 -0.26136476 -0.85825911
## 277             0.53062825 -0.57981850 -0.48559774
## 278             0.18232156 -0.41551544 -0.53167272
## 279            -0.94160854 -0.61618614 -0.57973042
## 281             0.18232156 -0.44628710 -0.21823750
## 282             0.33647224 -0.82098055 -0.73800921
## 283             0.58778666 -0.10536052 -0.29221795
## 287             0.26236426 -0.40047757 -0.42694948
## 289            -0.59783700 -1.07880966 -0.92403445
## 290             0.33647224 -0.71334989 -0.42694948
## 291            -0.10536052 -0.17435339 -0.35762924
## 292            -0.23572233 -0.26136476 -0.37116408
## 294            -1.02165125 -1.02165125 -0.50074709
## 297             0.74193734 -0.89159812 -0.64724718
## 298             0.09531018 -0.96758403 -0.77658561
## 299            -0.94160854 -0.54472718 -0.37116408
## 301            -0.41551544 -0.99425227 -0.71923319
## 302            -0.86750057 -1.66073121 -0.87972006
## 303            -0.16251893 -0.82098055 -0.70078093
## 304             0.18232156 -0.19845094 -0.29221795
## 305             0.09531018 -0.40047757 -0.54746226
## 306             0.18232156 -0.15082289 -0.48559774
## 307             0.99325177 -0.16251893 -0.21823750
## 308             0.99325177 -0.56211892 -0.56347899
## 311            -0.41551544 -0.67334455 -0.35762924
## 312             0.78845736 -0.46203546 -0.21823750
## 313             0.00000000 -0.82098055 -0.83723396
## 314            -0.96758403 -0.77652879 -0.66479918
## 315            -0.16251893 -0.67334455 -0.56347899
## 316             0.09531018 -0.52763274 -1.15193183
## 317            -0.34249031 -0.37106368 -0.59622443
## 320             0.40546511 -0.91629073 -0.75712204
## 321             0.26236426 -1.02165125 -1.01892829
## 322            -0.52763274 -0.40047757 -0.37116408
## 323             0.53062825 -0.46203546 -0.31794508
## 324             0.58778666 -0.71334989 -0.59622443
## 325             0.78845736 -0.47803580 -0.68264012
## 326            -0.04082199 -0.40047757 -0.42694948
## 327             0.78845736 -0.27443685 -0.41274719
## 329             0.33647224 -0.61618614 -0.68264012
## 330             0.78845736 -0.79850770 -0.77658561
## 331            -0.96758403 -1.17118298 -1.01892829
## 332            -1.34707365 -1.02165125 -0.94693458
## 333            -0.52763274 -0.21072103 -0.38485910
##     Thymus_Expressed_Chemokine_TECK E4
## 1                          4.149327  1
## 2                          3.810182  2
## 3                          2.791992  2
## 5                          4.534163  1
## 6                          4.534163  2
## 7                          3.342694  1
## 8                          4.037285  1
## 9                          3.637051  1
## 11                         4.908629  2
## 12                         3.637051  1
## 14                         4.534163  2
## 16                         4.093428  2
## 17                         5.273838  1
## 18                         2.407182  2
## 19                         4.260413  1
## 20                         3.810182  2
## 21                         4.908629  2
## 22                         3.578777  1
## 23                         3.810182  2
## 24                         4.534163  1
## 25                         2.472433  2
## 26                         4.149327  2
## 28                         3.282892  1
## 29                         3.578777  2
## 30                         2.407182  1
## 31                         2.854653  1
## 34                         4.093428  2
## 35                         4.093428  2
## 36                         4.479850  1
## 37                         4.149327  2
## 38                         4.093428  1
## 39                         4.315608  1
## 40                         1.936058  1
## 41                         3.637051  1
## 42                         4.093428  2
## 43                         3.342694  1
## 44                         2.791992  2
## 45                         4.908629  1
## 46                         4.315608  1
## 47                         3.867347  1
## 48                         3.752748  1
## 50                         4.093428  1
## 51                         3.810182  1
## 53                         3.810182  1
## 55                         2.791992  2
## 56                         2.601557  1
## 57                         6.225224  1
## 59                         3.101492  2
## 60                         1.796259  1
## 61                         2.854653  1
## 62                         2.854653  1
## 63                         4.479850  1
## 64                         4.479850  2
## 65                         3.810182  1
## 67                         4.855724  2
## 68                         6.225224  1
## 69                         2.854653  1
## 70                         2.791992  1
## 71                         3.810182  1
## 72                         4.749337  1
## 73                         4.961345  1
## 74                         3.752748  1
## 75                         3.810182  1
## 76                         4.479850  2
## 77                         5.325310  2
## 78                         6.225224  2
## 80                         3.342694  1
## 81                         3.637051  1
## 82                         3.282892  2
## 83                         4.908629  1
## 84                         3.637051  2
## 85                         4.479850  1
## 86                         4.479850  1
## 88                         4.149327  2
## 90                         3.040333  1
## 93                         4.037285  2
## 94                         5.222195  1
## 95                         3.752748  1
## 96                         3.980894  2
## 97                         4.149327  2
## 98                         1.508487  1
## 99                         3.810182  1
## 100                        3.101492  2
## 103                        4.534163  1
## 104                        4.037285  2
## 105                        3.810182  1
## 107                        3.752748  2
## 108                        3.342694  1
## 109                        2.208489  1
## 110                        2.854653  1
## 111                        3.040333  2
## 112                        4.149327  1
## 113                        4.149327  2
## 114                        2.791992  2
## 115                        3.637051  2
## 117                        4.315608  1
## 118                        4.149327  1
## 121                        3.637051  2
## 123                        2.854653  2
## 124                        3.040333  1
## 126                        3.867347  2
## 128                        4.093428  2
## 129                        3.101492  2
## 130                        4.908629  1
## 131                        3.578777  1
## 132                        3.752748  2
## 133                        4.149327  2
## 134                        6.225224  2
## 135                        3.342694  1
## 136                        3.578777  2
## 137                        2.791992  2
## 139                        3.282892  2
## 140                        4.149327  2
## 141                        4.149327  2
## 143                        3.752748  1
## 144                        3.752748  2
## 145                        2.854653  1
## 146                        3.980894  2
## 147                        3.752748  2
## 148                        4.479850  1
## 149                        3.342694  1
## 152                        5.580204  2
## 153                        4.149327  1
## 154                        2.537220  1
## 155                        3.342694  2
## 156                        4.315608  1
## 157                        3.752748  1
## 158                        3.342694  2
## 159                        3.637051  1
## 160                        4.315608  1
## 161                        4.479850  1
## 162                        3.578777  1
## 163                        4.479850  2
## 165                        3.040333  2
## 166                        3.637051  1
## 167                        4.908629  1
## 168                        3.342694  1
## 169                        3.282892  1
## 170                        3.752748  1
## 171                        4.855724  1
## 172                        3.752748  1
## 174                        4.093428  1
## 175                        4.149327  1
## 176                        4.093428  1
## 177                        3.578777  1
## 178                        3.637051  1
## 179                        5.273838  1
## 180                        5.580204  1
## 181                        4.037285  1
## 182                        3.520211  1
## 183                        2.407182  2
## 184                        4.908629  2
## 185                        4.093428  2
## 186                        4.149327  2
## 189                        3.520211  1
## 190                        4.479850  1
## 191                        4.037285  2
## 192                        4.479850  2
## 193                        3.637051  2
## 194                        4.037285  2
## 195                        3.810182  1
## 197                        3.980894  2
## 198                        4.037285  2
## 200                        2.854653  2
## 201                        4.908629  1
## 202                        3.342694  2
## 205                        4.315608  1
## 208                        4.037285  2
## 210                        4.534163  2
## 212                        1.936058  2
## 213                        4.534163  2
## 214                        3.342694  1
## 215                        3.752748  1
## 216                        4.479850  2
## 218                        4.908629  1
## 219                        3.637051  1
## 220                        3.637051  1
## 223                        4.149327  2
## 224                        2.854653  1
## 225                        3.752748  1
## 226                        4.037285  1
## 227                        3.752748  1
## 228                        1.796259  1
## 229                        3.520211  2
## 230                        4.908629  1
## 231                        3.752748  1
## 232                        4.479850  1
## 233                        3.040333  2
## 234                        3.752748  1
## 236                        3.282892  1
## 237                        3.637051  1
## 239                        3.342694  1
## 240                        2.854653  1
## 241                        4.149327  1
## 242                        2.791992  1
## 243                        3.637051  1
## 244                        4.093428  2
## 245                        4.479850  1
## 246                        3.752748  1
## 247                        4.479850  2
## 249                        4.149327  2
## 250                        3.040333  2
## 251                        3.101492  2
## 253                        4.093428  1
## 254                        4.149327  1
## 255                        3.637051  2
## 256                        3.101492  2
## 257                        3.637051  2
## 258                        5.580204  2
## 260                        4.037285  1
## 261                        3.101492  1
## 262                        4.037285  1
## 263                        4.037285  1
## 264                        4.093428  2
## 265                        3.810182  1
## 267                        4.149327  2
## 268                        4.479850  1
## 269                        3.520211  2
## 270                        3.578777  1
## 271                        4.908629  2
## 272                        4.908629  1
## 273                        4.479850  1
## 274                        3.578777  1
## 275                        3.342694  1
## 277                        4.534163  1
## 278                        3.101492  1
## 279                        3.980894  2
## 281                        4.908629  2
## 282                        4.315608  2
## 283                        4.479850  1
## 287                        2.791992  1
## 289                        2.407182  1
## 290                        3.342694  1
## 291                        5.580204  1
## 292                        4.149327  1
## 294                        2.407182  1
## 297                        2.601557  1
## 298                        2.208489  1
## 299                        4.534163  2
## 301                        3.101492  2
## 302                        3.342694  1
## 303                        4.908629  1
## 304                        3.867347  2
## 305                        4.908629  1
## 306                        4.534163  1
## 307                        4.315608  1
## 308                        1.796259  2
## 311                        4.479850  2
## 312                        3.637051  2
## 313                        3.040333  1
## 314                        4.037285  1
## 315                        2.854653  1
## 316                        3.810182  1
## 317                        3.810182  1
## 320                        3.342694  2
## 321                        2.791992  1
## 322                        4.093428  1
## 323                        4.037285  1
## 324                        3.342694  2
## 325                        3.578777  1
## 326                        4.037285  2
## 327                        5.273838  2
## 329                        3.637051  1
## 330                        4.534163  2
## 331                        4.260413  1
## 332                        4.479850  1
## 333                        4.037285  2
## 
## $usekernel
## [1] TRUE
## 
## $varnames
##  [1] "Eotaxin_3"                        "FAS"                             
##  [3] "Fibrinogen"                       "GRO_alpha"                       
##  [5] "Gamma_Interferon_induced_Monokin" "MIF"                             
##  [7] "MMP10"                            "MMP7"                            
##  [9] "NT_proBNP"                        "PAI_1"                           
## [11] "Pancreatic_polypeptide"           "TNF_RII"                         
## [13] "TRAIL_R3"                         "Thymus_Expressed_Chemokine_TECK" 
## [15] "E4"                              
## 
## attr(,"class")
## [1] "NaiveBayes"
NB_UF_BAC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa      ROCSD    SensSD
## 1 0.7608835 0.5964286 0.7773684 0.7272589 0.3629829 0.09855478 0.2222718
##      SpecSD AccuracySD  KappaSD
## 1 0.1597416  0.1318832 0.271492
(NB_UF_BAC_Train_ROCCurveAUC <- NB_UF_BAC_Tune$results[NB_UF_BAC_Tune$results$ROC==max(NB_UF_BAC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7608835
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
NB_UF_BAC_Test <- data.frame(NB_UF_BAC_Observed = PMA_PreModelling_Test$Class,
                              NB_UF_BAC_Predicted = predict(NB_UF_BAC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

NB_UF_BAC_Test
##     NB_UF_BAC_Observed NB_UF_BAC_Predicted.pred NB_UF_BAC_Predicted.Impaired
## 4              Control                  Control                 5.632315e-03
## 10            Impaired                 Impaired                 6.651407e-01
## 13            Impaired                  Control                 8.707208e-03
## 15             Control                  Control                 1.487077e-01
## 27            Impaired                  Control                 7.939411e-04
## 32            Impaired                  Control                 1.485874e-03
## 33            Impaired                  Control                 3.446246e-02
## 49             Control                  Control                 2.100594e-03
## 52            Impaired                 Impaired                 9.997817e-01
## 54             Control                  Control                 5.522491e-04
## 58             Control                 Impaired                 9.994767e-01
## 66             Control                  Control                 2.788699e-02
## 79             Control                 Impaired                 6.341560e-01
## 87            Impaired                  Control                 3.576120e-02
## 89             Control                  Control                 2.844986e-03
## 91             Control                 Impaired                 9.772660e-01
## 92             Control                  Control                 1.527913e-02
## 101           Impaired                 Impaired                 9.999964e-01
## 102            Control                  Control                 1.580457e-02
## 106            Control                  Control                 1.931847e-06
## 116            Control                  Control                 2.085484e-08
## 119            Control                  Control                 1.317679e-03
## 120            Control                  Control                 1.358139e-04
## 122            Control                  Control                 1.927715e-03
## 125            Control                  Control                 1.861225e-03
## 127            Control                 Impaired                 6.511296e-01
## 138            Control                  Control                 2.355854e-02
## 142            Control                 Impaired                 6.400248e-01
## 150            Control                  Control                 5.411305e-03
## 151            Control                  Control                 2.651866e-04
## 164           Impaired                  Control                 2.379547e-03
## 173            Control                  Control                 3.256414e-03
## 187            Control                  Control                 7.526947e-03
## 188            Control                  Control                 5.590376e-05
## 196            Control                 Impaired                 5.437344e-01
## 199            Control                  Control                 1.790208e-02
## 203            Control                  Control                 1.893850e-05
## 204            Control                  Control                 4.850850e-01
## 206           Impaired                 Impaired                 9.996230e-01
## 207            Control                  Control                 4.642039e-04
## 209            Control                  Control                 3.034025e-03
## 211            Control                  Control                 9.954540e-03
## 217            Control                  Control                 1.785411e-01
## 221           Impaired                 Impaired                 9.583480e-01
## 222            Control                  Control                 3.068938e-02
## 235            Control                  Control                 1.237792e-05
## 238            Control                  Control                 9.674535e-04
## 248           Impaired                  Control                 1.386177e-03
## 252            Control                  Control                 5.051121e-06
## 259           Impaired                 Impaired                 7.537449e-01
## 266            Control                 Impaired                 9.643205e-01
## 276           Impaired                 Impaired                 9.990248e-01
## 280           Impaired                  Control                 1.342288e-01
## 284            Control                 Impaired                 5.357456e-01
## 285            Control                  Control                 2.642314e-06
## 286            Control                  Control                 4.417479e-05
## 288            Control                  Control                 8.028474e-03
## 293           Impaired                 Impaired                 9.356737e-01
## 295            Control                  Control                 1.419271e-03
## 296           Impaired                 Impaired                 9.949968e-01
## 300            Control                 Impaired                 9.386018e-01
## 309            Control                  Control                 1.153954e-02
## 310           Impaired                 Impaired                 6.572325e-01
## 318            Control                  Control                 3.474728e-05
## 319            Control                  Control                 1.046663e-01
## 328            Control                  Control                 7.180657e-04
##     NB_UF_BAC_Predicted.Control
## 4                  9.943677e-01
## 10                 3.348593e-01
## 13                 9.912928e-01
## 15                 8.512923e-01
## 27                 9.992061e-01
## 32                 9.985141e-01
## 33                 9.655375e-01
## 49                 9.978994e-01
## 52                 2.182819e-04
## 54                 9.994478e-01
## 58                 5.233017e-04
## 66                 9.721130e-01
## 79                 3.658440e-01
## 87                 9.642388e-01
## 89                 9.971550e-01
## 91                 2.273403e-02
## 92                 9.847209e-01
## 101                3.597812e-06
## 102                9.841954e-01
## 106                9.999981e-01
## 116                1.000000e+00
## 119                9.986823e-01
## 120                9.998642e-01
## 122                9.980723e-01
## 125                9.981388e-01
## 127                3.488704e-01
## 138                9.764415e-01
## 142                3.599752e-01
## 150                9.945887e-01
## 151                9.997348e-01
## 164                9.976205e-01
## 173                9.967436e-01
## 187                9.924731e-01
## 188                9.999441e-01
## 196                4.562656e-01
## 199                9.820979e-01
## 203                9.999811e-01
## 204                5.149150e-01
## 206                3.770085e-04
## 207                9.995358e-01
## 209                9.969660e-01
## 211                9.900455e-01
## 217                8.214589e-01
## 221                4.165204e-02
## 222                9.693106e-01
## 235                9.999876e-01
## 238                9.990325e-01
## 248                9.986138e-01
## 252                9.999949e-01
## 259                2.462551e-01
## 266                3.567954e-02
## 276                9.751987e-04
## 280                8.657712e-01
## 284                4.642544e-01
## 285                9.999974e-01
## 286                9.999558e-01
## 288                9.919715e-01
## 293                6.432631e-02
## 295                9.985807e-01
## 296                5.003191e-03
## 300                6.139820e-02
## 309                9.884605e-01
## 310                3.427675e-01
## 318                9.999653e-01
## 319                8.953337e-01
## 328                9.992819e-01
##################################
# Reporting the independent evaluation results
# for the test set
##################################
NB_UF_BAC_Test_ROC <- roc(response = NB_UF_BAC_Test$NB_UF_BAC_Observed,
                           predictor = NB_UF_BAC_Test$NB_UF_BAC_Predicted.Impaired,
                           levels = rev(levels(NB_UF_BAC_Test$NB_UF_BAC_Observed)))

(NB_UF_BAC_Test_ROCCurveAUC <- auc(NB_UF_BAC_Test_ROC)[1])
## [1] 0.7627315

1.5.14 Naive Bayes With UF Using No P-Value Adjustment and No Correlated Predictors (NB_UF_NANC)


Naive Bayes Classifier categorizes instances by applying Bayes Theorem in determining posterior probabilities as conditioned by the likelihood of features, and prior probabilities pertaining to both events and features. The algorithm naively assumes independence between features and assigns the same weight (degree of significance) to all given features. The class conditional probabilities and the prior probabilities are calculated to yield the posterior probability, and operates by returning the class, which has the maximum posterior probability out of a group of classes.

Unadjusted P-Values define the probability of obtaining an effect during hypothesis testing, at least as large as the one actually observed in the sample data, specifically assuming that the null hypothesis is true. For a T-Test, the means of a numeric variable are evaluated between two categories if they significantly differ from each another. For a Chi-Square Test for independence, the distributions of categorical variables in a contingency table are evaluated if they significantly differ from each another.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The Naive Bayes model from the klaR package was implemented with univariate filters using no adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model contains 3 hyperparameters:
     [B.1] fL = laplace correction held constant at a value of 0
     [B.2] adjust = bandwidth adjustment held constant at a value of TRUE
     [B.3] usekernel = distribution type held constant at a value of TRUE

[C] Univariate filtering was applied with results as follows:
     [C.1] 54 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 52 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model peNBormance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=45 to 59
     [D.2] AUROC = 0.74847

[E] The independent test model peNBormance of the final model is summarized as follows:
     [E.1] AUROC = 0.69907

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
NBPValue$filter <- function (Score, x, y){
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = NBPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the naive bayes model
# by setting the caret method to 'nb'
# with implementation of univariate filter
##################################
set.seed(12345678)
NB_UF_NANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
NB_UF_NANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy Kappa  ROCSD SensSD SpecSD AccuracySD KappaSD
##  0.7485 0.6232 0.7674   0.7271  0.37 0.1077 0.2241 0.1548     0.1227  0.2348
## 
## Using the training set, 54 variables were selected:
##    Alpha_1_Antichymotrypsin, Alpha_1_Antitrypsin, Alpha_1_Microglobulin, Alpha_2_Macroglobulin, Apolipoprotein_CIII...
## 
## During resampling, the top 5 selected variables (out of a possible 68):
##    Alpha_1_Antichymotrypsin (100%), Alpha_1_Antitrypsin (100%), B_Lymphocyte_Chemoattractant_BL (100%), Complement_3 (100%), Cortisol (100%)
## 
## On average, 51.7 variables were selected (min = 45, max = 59)
NB_UF_NANC_Tune$fit
## $apriori
## grouping
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## $tables
## $tables$Alpha_1_Antichymotrypsin
## $tables$Alpha_1_Antichymotrypsin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.137
## 
##        x                   y            
##  Min.   :-0.005415   Min.   :0.0004458  
##  1st Qu.: 0.674305   1st Qu.:0.0430018  
##  Median : 1.354025   Median :0.2037227  
##  Mean   : 1.354025   Mean   :0.3670632  
##  3rd Qu.: 2.033745   3rd Qu.:0.7057813  
##  Max.   : 2.713465   Max.   :1.0974955  
## 
## $tables$Alpha_1_Antichymotrypsin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1039
## 
##        x                  y            
##  Min.   :-0.04928   Min.   :0.0002224  
##  1st Qu.: 0.60377   1st Qu.:0.0337927  
##  Median : 1.25683   Median :0.1887951  
##  Mean   : 1.25683   Mean   :0.3820623  
##  3rd Qu.: 1.90988   3rd Qu.:0.7159872  
##  Max.   : 2.56294   Max.   :1.1195436  
## 
## 
## $tables$Alpha_1_Antitrypsin
## $tables$Alpha_1_Antitrypsin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4782
## 
##        x                 y            
##  Min.   :-17.980   Min.   :0.0001293  
##  1st Qu.:-15.174   1st Qu.:0.0145127  
##  Median :-12.369   Median :0.0298018  
##  Mean   :-12.369   Mean   :0.0889250  
##  3rd Qu.: -9.563   3rd Qu.:0.1573948  
##  Max.   : -6.757   Max.   :0.2894396  
## 
## $tables$Alpha_1_Antitrypsin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4461
## 
##        x                 y            
##  Min.   :-18.367   Min.   :5.246e-05  
##  1st Qu.:-15.545   1st Qu.:6.361e-03  
##  Median :-12.723   Median :4.263e-02  
##  Mean   :-12.723   Mean   :8.842e-02  
##  3rd Qu.: -9.901   3rd Qu.:1.639e-01  
##  Max.   : -7.079   Max.   :2.904e-01  
## 
## 
## $tables$Alpha_1_Microglobulin
## $tables$Alpha_1_Microglobulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1673
## 
##        x                y            
##  Min.   :-4.414   Min.   :0.0003698  
##  1st Qu.:-3.643   1st Qu.:0.0406102  
##  Median :-2.872   Median :0.2123210  
##  Mean   :-2.872   Mean   :0.3237022  
##  3rd Qu.:-2.102   3rd Qu.:0.6327584  
##  Max.   :-1.331   Max.   :0.8444216  
## 
## $tables$Alpha_1_Microglobulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1525
## 
##        x                y            
##  Min.   :-4.800   Min.   :0.0001505  
##  1st Qu.:-3.929   1st Qu.:0.0220770  
##  Median :-3.057   Median :0.1808985  
##  Mean   :-3.057   Mean   :0.2863190  
##  3rd Qu.:-2.186   3rd Qu.:0.5640564  
##  Max.   :-1.315   Max.   :0.8166444  
## 
## 
## $tables$Alpha_2_Macroglobulin
## $tables$Alpha_2_Macroglobulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 11.24
## 
##        x                 y            
##  Min.   :-287.01   Min.   :5.480e-06  
##  1st Qu.:-221.69   1st Qu.:6.888e-04  
##  Median :-156.37   Median :1.894e-03  
##  Mean   :-156.37   Mean   :3.820e-03  
##  3rd Qu.: -91.06   3rd Qu.:6.271e-03  
##  Max.   : -25.74   Max.   :1.127e-02  
## 
## $tables$Alpha_2_Macroglobulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 11.74
## 
##        x                y            
##  Min.   :-324.9   Min.   :1.956e-06  
##  1st Qu.:-251.7   1st Qu.:2.978e-04  
##  Median :-178.5   Median :2.373e-03  
##  Mean   :-178.5   Mean   :3.409e-03  
##  3rd Qu.:-105.3   3rd Qu.:6.138e-03  
##  Max.   : -32.1   Max.   :9.772e-03  
## 
## 
## $tables$Apolipoprotein_CIII
## $tables$Apolipoprotein_CIII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1455
## 
##        x                 y            
##  Min.   :-3.9768   Min.   :0.0004594  
##  1st Qu.:-3.2303   1st Qu.:0.0769950  
##  Median :-2.4838   Median :0.1626602  
##  Mean   :-2.4838   Mean   :0.3342151  
##  3rd Qu.:-1.7373   3rd Qu.:0.6342758  
##  Max.   :-0.9907   Max.   :1.0259670  
## 
## $tables$Apolipoprotein_CIII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                 y            
##  Min.   :-4.0596   Min.   :0.0001868  
##  1st Qu.:-3.2615   1st Qu.:0.0384294  
##  Median :-2.4634   Median :0.1446462  
##  Mean   :-2.4634   Mean   :0.3126263  
##  3rd Qu.:-1.6653   3rd Qu.:0.5920527  
##  Max.   :-0.8672   Max.   :1.0140099  
## 
## 
## $tables$Apolipoprotein_D
## $tables$Apolipoprotein_D$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1309
## 
##        x                y            
##  Min.   :0.3494   Min.   :0.0005284  
##  1st Qu.:0.9282   1st Qu.:0.0738700  
##  Median :1.5070   Median :0.3572737  
##  Mean   :1.5070   Mean   :0.4310411  
##  3rd Qu.:2.0859   3rd Qu.:0.8265433  
##  Max.   :2.6647   Max.   :1.0110736  
## 
## $tables$Apolipoprotein_D$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09731
## 
##        x                y            
##  Min.   :0.1781   Min.   :0.0002366  
##  1st Qu.:0.7445   1st Qu.:0.0418393  
##  Median :1.3109   Median :0.3065151  
##  Mean   :1.3109   Mean   :0.4405095  
##  3rd Qu.:1.8773   3rd Qu.:0.7824477  
##  Max.   :2.4437   Max.   :1.2350084  
## 
## 
## $tables$B_Lymphocyte_Chemoattractant_BL
## $tables$B_Lymphocyte_Chemoattractant_BL$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1786
## 
##        x                y            
##  Min.   :0.2631   Min.   :0.0003411  
##  1st Qu.:1.2047   1st Qu.:0.0344897  
##  Median :2.1462   Median :0.2154676  
##  Mean   :2.1462   Mean   :0.2649772  
##  3rd Qu.:3.0878   3rd Qu.:0.4189822  
##  Max.   :4.0294   Max.   :0.7283596  
## 
## $tables$B_Lymphocyte_Chemoattractant_BL$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1635
## 
##        x                y            
##  Min.   :0.2412   Min.   :0.0001404  
##  1st Qu.:1.3095   1st Qu.:0.0158056  
##  Median :2.3778   Median :0.1517980  
##  Mean   :2.3778   Mean   :0.2335554  
##  3rd Qu.:3.4460   3rd Qu.:0.4260135  
##  Max.   :4.5143   Max.   :0.7412313  
## 
## 
## $tables$CD5L
## $tables$CD5L$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.172
## 
##        x                 y            
##  Min.   :-1.6871   Min.   :0.0004209  
##  1st Qu.:-0.9073   1st Qu.:0.0656876  
##  Median :-0.1274   Median :0.2613718  
##  Mean   :-0.1274   Mean   :0.3199414  
##  3rd Qu.: 0.6524   3rd Qu.:0.5479588  
##  Max.   : 1.4322   Max.   :0.8452315  
## 
## $tables$CD5L$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.133
## 
##        x                  y            
##  Min.   :-1.63693   Min.   :0.0002106  
##  1st Qu.:-0.83715   1st Qu.:0.0421442  
##  Median :-0.03736   Median :0.1637532  
##  Mean   :-0.03736   Mean   :0.3119687  
##  3rd Qu.: 0.76242   3rd Qu.:0.5640367  
##  Max.   : 1.56221   Max.   :0.9668307  
## 
## 
## $tables$Clusterin_Apo_J
## $tables$Clusterin_Apo_J$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1155
## 
##        x               y            
##  Min.   :1.525   Min.   :0.0005269  
##  1st Qu.:2.127   1st Qu.:0.0219539  
##  Median :2.728   Median :0.1830742  
##  Mean   :2.728   Mean   :0.4150646  
##  3rd Qu.:3.329   3rd Qu.:0.8290506  
##  Max.   :3.930   Max.   :1.2069046  
## 
## $tables$Clusterin_Apo_J$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0788
## 
##        x               y            
##  Min.   :1.724   Min.   :0.0002915  
##  1st Qu.:2.248   1st Qu.:0.0430777  
##  Median :2.772   Median :0.2921669  
##  Mean   :2.772   Mean   :0.4761093  
##  3rd Qu.:3.296   3rd Qu.:0.7752340  
##  Max.   :3.820   Max.   :1.5112165  
## 
## 
## $tables$Complement_3
## $tables$Complement_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.9024
## 
##        x                 y            
##  Min.   :-23.309   Min.   :6.925e-05  
##  1st Qu.:-19.196   1st Qu.:6.933e-03  
##  Median :-15.082   Median :4.532e-02  
##  Mean   :-15.082   Mean   :6.066e-02  
##  3rd Qu.:-10.969   3rd Qu.:1.205e-01  
##  Max.   : -6.855   Max.   :1.458e-01  
## 
## $tables$Complement_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.7662
## 
##        x                 y            
##  Min.   :-25.686   Min.   :2.994e-05  
##  1st Qu.:-21.269   1st Qu.:2.573e-03  
##  Median :-16.853   Median :4.057e-02  
##  Mean   :-16.853   Mean   :5.649e-02  
##  3rd Qu.:-12.436   3rd Qu.:1.164e-01  
##  Max.   : -8.019   Max.   :1.468e-01  
## 
## 
## $tables$Cortisol
## $tables$Cortisol$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 1.139
## 
##        x                 y            
##  Min.   : 0.5829   Min.   :5.413e-05  
##  1st Qu.: 8.5415   1st Qu.:3.530e-03  
##  Median :16.5000   Median :9.513e-03  
##  Mean   :16.5000   Mean   :3.135e-02  
##  3rd Qu.:24.4585   3rd Qu.:4.559e-02  
##  Max.   :32.4171   Max.   :1.342e-01  
## 
## $tables$Cortisol$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.095
## 
##        x                y            
##  Min.   :-3.185   Min.   :6.292e-05  
##  1st Qu.: 3.933   1st Qu.:5.135e-03  
##  Median :11.050   Median :1.130e-02  
##  Mean   :11.050   Mean   :3.506e-02  
##  3rd Qu.:18.167   3rd Qu.:6.465e-02  
##  Max.   :25.285   Max.   :1.183e-01  
## 
## 
## $tables$Creatine_Kinase_MB
## $tables$Creatine_Kinase_MB$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.02774
## 
##        x                y           
##  Min.   :-1.955   Min.   :0.002195  
##  1st Qu.:-1.810   1st Qu.:0.178288  
##  Median :-1.666   Median :0.807714  
##  Mean   :-1.666   Mean   :1.724376  
##  3rd Qu.:-1.521   3rd Qu.:3.478317  
##  Max.   :-1.376   Max.   :5.171466  
## 
## $tables$Creatine_Kinase_MB$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.02971
## 
##        x                y           
##  Min.   :-1.961   Min.   :0.000774  
##  1st Qu.:-1.794   1st Qu.:0.209347  
##  Median :-1.628   Median :0.920239  
##  Mean   :-1.628   Mean   :1.497037  
##  3rd Qu.:-1.461   3rd Qu.:2.710941  
##  Max.   :-1.294   Max.   :4.648178  
## 
## 
## $tables$Cystatin_C
## $tables$Cystatin_C$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1319
## 
##        x               y            
##  Min.   :7.037   Min.   :0.0004624  
##  1st Qu.:7.712   1st Qu.:0.0413703  
##  Median :8.387   Median :0.2488927  
##  Mean   :8.387   Mean   :0.3695760  
##  3rd Qu.:9.062   3rd Qu.:0.6297262  
##  Max.   :9.737   Max.   :1.2524724  
## 
## $tables$Cystatin_C$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1193
## 
##        x                y            
##  Min.   : 7.258   Min.   :0.0003623  
##  1st Qu.: 7.956   1st Qu.:0.0677002  
##  Median : 8.655   Median :0.2241862  
##  Mean   : 8.655   Mean   :0.3571722  
##  3rd Qu.: 9.353   3rd Qu.:0.6483143  
##  Max.   :10.052   Max.   :0.9827179  
## 
## 
## $tables$Eotaxin_3
## $tables$Eotaxin_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.556
## 
##        x                 y            
##  Min.   :  9.332   Min.   :1.337e-05  
##  1st Qu.: 37.166   1st Qu.:1.129e-03  
##  Median : 65.000   Median :5.511e-03  
##  Mean   : 65.000   Mean   :8.964e-03  
##  3rd Qu.: 92.834   3rd Qu.:1.491e-02  
##  Max.   :120.668   Max.   :2.988e-02  
## 
## $tables$Eotaxin_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 4.684
## 
##        x                 y            
##  Min.   : -7.052   Min.   :4.901e-06  
##  1st Qu.: 22.224   1st Qu.:4.092e-04  
##  Median : 51.500   Median :4.572e-03  
##  Mean   : 51.500   Mean   :8.523e-03  
##  3rd Qu.: 80.776   3rd Qu.:1.856e-02  
##  Max.   :110.052   Max.   :2.364e-02  
## 
## 
## $tables$FAS
## $tables$FAS$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.112
## 
##        x                 y            
##  Min.   :-1.3860   Min.   :0.0005482  
##  1st Qu.:-0.8713   1st Qu.:0.0744882  
##  Median :-0.3567   Median :0.4050701  
##  Mean   :-0.3567   Mean   :0.4847868  
##  3rd Qu.: 0.1580   3rd Qu.:0.8069833  
##  Max.   : 0.6726   Max.   :1.3560508  
## 
## $tables$FAS$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08631
## 
##        x                 y            
##  Min.   :-1.7731   Min.   :0.0002668  
##  1st Qu.:-1.2412   1st Qu.:0.0228707  
##  Median :-0.7094   Median :0.3094483  
##  Mean   :-0.7094   Mean   :0.4691546  
##  3rd Qu.:-0.1776   3rd Qu.:0.8467171  
##  Max.   : 0.3542   Max.   :1.4115039  
## 
## 
## $tables$Fas_Ligand
## $tables$Fas_Ligand$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3972
## 
##        x                 y            
##  Min.   :-0.9036   Min.   :0.0001532  
##  1st Qu.: 1.5284   1st Qu.:0.0075761  
##  Median : 3.9604   Median :0.0323509  
##  Mean   : 3.9604   Mean   :0.1025914  
##  3rd Qu.: 6.3924   3rd Qu.:0.1765223  
##  Max.   : 8.8244   Max.   :0.3745872  
## 
## $tables$Fas_Ligand$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3209
## 
##        x                 y            
##  Min.   :-1.1164   Min.   :0.0000717  
##  1st Qu.: 0.8362   1st Qu.:0.0099146  
##  Median : 2.7888   Median :0.0732924  
##  Mean   : 2.7888   Mean   :0.1277836  
##  3rd Qu.: 4.7414   3rd Qu.:0.2410426  
##  Max.   : 6.6940   Max.   :0.3644452  
## 
## 
## $tables$Fatty_Acid_Binding_Protein
## $tables$Fatty_Acid_Binding_Protein$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3218
## 
##        x                 y            
##  Min.   :-1.1366   Min.   :0.0001909  
##  1st Qu.: 0.3152   1st Qu.:0.0229681  
##  Median : 1.7671   Median :0.1194680  
##  Mean   : 1.7671   Mean   :0.1718472  
##  3rd Qu.: 3.2189   3rd Qu.:0.3272007  
##  Max.   : 4.6708   Max.   :0.4306972  
## 
## $tables$Fatty_Acid_Binding_Protein$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2219
## 
##        x                 y            
##  Min.   :-1.7098   Min.   :0.0001066  
##  1st Qu.:-0.3112   1st Qu.:0.0178705  
##  Median : 1.0873   Median :0.0844530  
##  Mean   : 1.0873   Mean   :0.1784060  
##  3rd Qu.: 2.4859   3rd Qu.:0.3437516  
##  Max.   : 3.8844   Max.   :0.5058790  
## 
## 
## $tables$Fetuin_A
## $tables$Fetuin_A$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1072
## 
##        x                y            
##  Min.   :0.2090   Min.   :0.0005703  
##  1st Qu.:0.7837   1st Qu.:0.0670041  
##  Median :1.3583   Median :0.2997970  
##  Mean   :1.3583   Mean   :0.4341721  
##  3rd Qu.:1.9330   3rd Qu.:0.6852882  
##  Max.   :2.5077   Max.   :1.3338471  
## 
## $tables$Fetuin_A$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1175
## 
##        x                y            
##  Min.   :0.1176   Min.   :0.0002735  
##  1st Qu.:0.7391   1st Qu.:0.0572785  
##  Median :1.3606   Median :0.3238185  
##  Mean   :1.3606   Mean   :0.4014570  
##  3rd Qu.:1.9821   3rd Qu.:0.7106765  
##  Max.   :2.6037   Max.   :1.0633923  
## 
## 
## $tables$Fibrinogen
## $tables$Fibrinogen$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2039
## 
##        x                y            
##  Min.   :-9.352   Min.   :0.0002994  
##  1st Qu.:-8.340   1st Qu.:0.0297491  
##  Median :-7.327   Median :0.1176966  
##  Mean   :-7.327   Mean   :0.2464541  
##  3rd Qu.:-6.315   3rd Qu.:0.4605718  
##  Max.   :-5.303   Max.   :0.7646276  
## 
## $tables$Fibrinogen$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1616
## 
##        x                y            
##  Min.   :-9.359   Min.   :0.0001768  
##  1st Qu.:-8.359   1st Qu.:0.0386225  
##  Median :-7.358   Median :0.1268076  
##  Mean   :-7.358   Mean   :0.2494747  
##  3rd Qu.:-6.358   3rd Qu.:0.4809641  
##  Max.   :-5.358   Max.   :0.7047324  
## 
## 
## $tables$GRO_alpha
## $tables$GRO_alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01539
## 
##        x               y           
##  Min.   :1.263   Min.   : 0.00406  
##  1st Qu.:1.332   1st Qu.: 0.54230  
##  Median :1.402   Median : 2.71917  
##  Mean   :1.402   Mean   : 3.59086  
##  3rd Qu.:1.471   3rd Qu.: 6.17618  
##  Max.   :1.541   Max.   :10.69562  
## 
## $tables$GRO_alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01113
## 
##        x               y            
##  Min.   :1.238   Min.   : 0.002945  
##  1st Qu.:1.300   1st Qu.: 0.969398  
##  Median :1.363   Median : 3.049909  
##  Mean   :1.363   Mean   : 3.994613  
##  3rd Qu.:1.425   3rd Qu.: 7.200400  
##  Max.   :1.488   Max.   :10.071952  
## 
## 
## $tables$Gamma_Interferon_induced_Monokin
## $tables$Gamma_Interferon_induced_Monokin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03894
## 
##        x               y          
##  Min.   :2.497   Min.   :0.00164  
##  1st Qu.:2.669   1st Qu.:0.17739  
##  Median :2.840   Median :1.25904  
##  Mean   :2.840   Mean   :1.45720  
##  3rd Qu.:3.011   3rd Qu.:2.70076  
##  Max.   :3.182   Max.   :3.51052  
## 
## $tables$Gamma_Interferon_induced_Monokin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.03562
## 
##        x               y           
##  Min.   :2.286   Min.   :0.000645  
##  1st Qu.:2.496   1st Qu.:0.054709  
##  Median :2.707   Median :0.799942  
##  Mean   :2.707   Mean   :1.187958  
##  3rd Qu.:2.917   3rd Qu.:2.388599  
##  Max.   :3.127   Max.   :3.377959  
## 
## 
## $tables$HCC_4
## $tables$HCC_4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1258
## 
##        x                y            
##  Min.   :-4.513   Min.   :0.0004839  
##  1st Qu.:-3.842   1st Qu.:0.0263764  
##  Median :-3.171   Median :0.1774249  
##  Mean   :-3.171   Mean   :0.3720055  
##  3rd Qu.:-2.501   3rd Qu.:0.7266870  
##  Max.   :-1.830   Max.   :1.1547574  
## 
## $tables$HCC_4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1143
## 
##        x                y            
##  Min.   :-4.853   Min.   :0.0002017  
##  1st Qu.:-4.084   1st Qu.:0.0155689  
##  Median :-3.315   Median :0.0898749  
##  Mean   :-3.315   Mean   :0.3244994  
##  3rd Qu.:-2.546   3rd Qu.:0.6477835  
##  Max.   :-1.777   Max.   :1.1126875  
## 
## 
## $tables$Hepatocyte_Growth_Factor_HGF
## $tables$Hepatocyte_Growth_Factor_HGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1039
## 
##        x                 y            
##  Min.   :-0.6264   Min.   :0.0006633  
##  1st Qu.:-0.1730   1st Qu.:0.0918928  
##  Median : 0.2804   Median :0.4436919  
##  Mean   : 0.2804   Mean   :0.5503010  
##  3rd Qu.: 0.7338   3rd Qu.:0.9880750  
##  Max.   : 1.1871   Max.   :1.3558632  
## 
## $tables$Hepatocyte_Growth_Factor_HGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08115
## 
##        x                 y            
##  Min.   :-0.8783   Min.   :0.0002835  
##  1st Qu.:-0.3790   1st Qu.:0.0433307  
##  Median : 0.1203   Median :0.3791272  
##  Mean   : 0.1203   Mean   :0.4996986  
##  3rd Qu.: 0.6196   3rd Qu.:0.8912429  
##  Max.   : 1.1189   Max.   :1.4189093  
## 
## 
## $tables$IL_7
## $tables$IL_7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4111
## 
##        x                 y            
##  Min.   :-0.6736   Min.   :0.0004557  
##  1st Qu.: 0.9327   1st Qu.:0.0442524  
##  Median : 2.5390   Median :0.1448168  
##  Mean   : 2.5390   Mean   :0.1553058  
##  3rd Qu.: 4.1454   3rd Qu.:0.2582007  
##  Max.   : 5.7517   Max.   :0.3416548  
## 
## $tables$IL_7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3193
## 
##        x                y            
##  Min.   :-0.273   Min.   :0.0000734  
##  1st Qu.: 1.461   1st Qu.:0.0170904  
##  Median : 3.195   Median :0.0965725  
##  Mean   : 3.195   Mean   :0.1438786  
##  3rd Qu.: 4.929   3rd Qu.:0.2850512  
##  Max.   : 6.664   Max.   :0.3481015  
## 
## 
## $tables$IL_8
## $tables$IL_8$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01351
## 
##        x               y            
##  Min.   :1.567   Min.   : 0.004518  
##  1st Qu.:1.637   1st Qu.: 0.483051  
##  Median :1.707   Median : 1.878064  
##  Mean   :1.707   Mean   : 3.565088  
##  3rd Qu.:1.777   3rd Qu.: 6.302757  
##  Max.   :1.847   Max.   :10.732067  
## 
## $tables$IL_8$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.0109
## 
##        x               y           
##  Min.   :1.541   Min.   : 0.00211  
##  1st Qu.:1.607   1st Qu.: 0.23979  
##  Median :1.674   Median : 2.00436  
##  Mean   :1.674   Mean   : 3.76132  
##  3rd Qu.:1.740   3rd Qu.: 7.23914  
##  Max.   :1.806   Max.   :11.18418  
## 
## 
## $tables$IP_10_Inducible_Protein_10
## $tables$IP_10_Inducible_Protein_10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1863
## 
##        x               y            
##  Min.   :4.142   Min.   :0.0004185  
##  1st Qu.:4.966   1st Qu.:0.0475262  
##  Median :5.790   Median :0.2376800  
##  Mean   :5.790   Mean   :0.3027442  
##  3rd Qu.:6.614   3rd Qu.:0.5357255  
##  Max.   :7.438   Max.   :0.7587120  
## 
## $tables$IP_10_Inducible_Protein_10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1494
## 
##        x               y            
##  Min.   :3.869   Min.   :0.0001646  
##  1st Qu.:4.889   1st Qu.:0.0185718  
##  Median :5.909   Median :0.0913245  
##  Mean   :5.909   Mean   :0.2446043  
##  3rd Qu.:6.929   3rd Qu.:0.5129381  
##  Max.   :7.949   Max.   :0.7715558  
## 
## 
## $tables$IgA
## $tables$IgA$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2723
## 
##        x                y           
##  Min.   :-8.616   Min.   :0.000224  
##  1st Qu.:-7.325   1st Qu.:0.018891  
##  Median :-6.034   Median :0.131555  
##  Mean   :-6.034   Mean   :0.193252  
##  3rd Qu.:-4.743   3rd Qu.:0.394834  
##  Max.   :-3.452   Max.   :0.502000  
## 
## $tables$IgA$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2182
## 
##        x                 y           
##  Min.   :-11.174   Min.   :0.000000  
##  1st Qu.: -9.267   1st Qu.:0.001335  
##  Median : -7.360   Median :0.019659  
##  Mean   : -7.360   Mean   :0.130822  
##  3rd Qu.: -5.452   3rd Qu.:0.241560  
##  Max.   : -3.545   Max.   :0.560047  
## 
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1
## $tables$Kidney_Injury_Molecule_1_KIM_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.00858
## 
##        x                y            
##  Min.   :-1.257   Min.   : 0.007559  
##  1st Qu.:-1.218   1st Qu.: 0.913827  
##  Median :-1.178   Median : 3.938927  
##  Mean   :-1.178   Mean   : 6.270026  
##  3rd Qu.:-1.138   3rd Qu.:11.635131  
##  Max.   :-1.098   Max.   :16.890980  
## 
## $tables$Kidney_Injury_Molecule_1_KIM_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.009108
## 
##        x                y            
##  Min.   :-1.283   Min.   : 0.003825  
##  1st Qu.:-1.232   1st Qu.: 0.593889  
##  Median :-1.180   Median : 2.994047  
##  Mean   :-1.180   Mean   : 4.856747  
##  3rd Qu.:-1.129   3rd Qu.:10.109607  
##  Max.   :-1.077   Max.   :12.453354  
## 
## 
## $tables$MCP_1
## $tables$MCP_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08204
## 
##        x               y           
##  Min.   :5.580   Min.   :0.000742  
##  1st Qu.:6.023   1st Qu.:0.076306  
##  Median :6.466   Median :0.334402  
##  Mean   :6.466   Mean   :0.562949  
##  3rd Qu.:6.910   3rd Qu.:0.983386  
##  Max.   :7.353   Max.   :1.659696  
## 
## $tables$MCP_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08365
## 
##        x               y            
##  Min.   :5.575   Min.   :0.0002833  
##  1st Qu.:6.051   1st Qu.:0.0503598  
##  Median :6.528   Median :0.3496635  
##  Mean   :6.528   Mean   :0.5236990  
##  3rd Qu.:7.004   3rd Qu.:1.0131174  
##  Max.   :7.481   Max.   :1.4058374  
## 
## 
## $tables$MCP_2
## $tables$MCP_2$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.258
## 
##        x                 y            
##  Min.   :-0.3735   Min.   :0.0002363  
##  1st Qu.: 0.9194   1st Qu.:0.0270400  
##  Median : 2.2122   Median :0.0879011  
##  Mean   : 2.2122   Mean   :0.1929878  
##  3rd Qu.: 3.5050   3rd Qu.:0.3588776  
##  Max.   : 4.7978   Max.   :0.6183413  
## 
## $tables$MCP_2$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1411
## 
##        x                  y            
##  Min.   :-0.02269   Min.   :0.0001634  
##  1st Qu.: 1.09474   1st Qu.:0.0145562  
##  Median : 2.21217   Median :0.1157047  
##  Mean   : 2.21217   Mean   :0.2232678  
##  3rd Qu.: 3.32960   3rd Qu.:0.3212348  
##  Max.   : 4.44703   Max.   :0.8582897  
## 
## 
## $tables$MIF
## $tables$MIF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1116
## 
##        x                 y            
##  Min.   :-2.7318   Min.   :0.0005472  
##  1st Qu.:-2.1761   1st Qu.:0.0505520  
##  Median :-1.6204   Median :0.1858068  
##  Mean   :-1.6204   Mean   :0.4490134  
##  3rd Qu.:-1.0648   3rd Qu.:0.9965195  
##  Max.   :-0.5091   Max.   :1.1763069  
## 
## $tables$MIF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09496
## 
##        x                 y            
##  Min.   :-3.1322   Min.   :0.0002408  
##  1st Qu.:-2.5133   1st Qu.:0.0326868  
##  Median :-1.8945   Median :0.2730891  
##  Mean   :-1.8945   Mean   :0.4031727  
##  3rd Qu.:-1.2756   3rd Qu.:0.7351494  
##  Max.   :-0.6567   Max.   :1.2561687  
## 
## 
## $tables$MIP_1alpha
## $tables$MIP_1alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2821
## 
##        x               y           
##  Min.   :1.541   Min.   :0.000224  
##  1st Qu.:2.893   1st Qu.:0.035600  
##  Median :4.244   Median :0.136544  
##  Mean   :4.244   Mean   :0.184656  
##  3rd Qu.:5.595   3rd Qu.:0.299992  
##  Max.   :6.946   Max.   :0.496062  
## 
## $tables$MIP_1alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.3311
## 
##        x                  y            
##  Min.   :-0.05885   Min.   :0.0000694  
##  1st Qu.: 1.90320   1st Qu.:0.0071115  
##  Median : 3.86525   Median :0.0755098  
##  Mean   : 3.86525   Mean   :0.1271673  
##  3rd Qu.: 5.82730   3rd Qu.:0.2387466  
##  Max.   : 7.78935   Max.   :0.3768545  
## 
## 
## $tables$MMP_3
## $tables$MMP_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1763
## 
##        x                   y            
##  Min.   :-4.345539   Min.   :0.0003472  
##  1st Qu.:-3.258856   1st Qu.:0.0319547  
##  Median :-2.172173   Median :0.1425696  
##  Mean   :-2.172173   Mean   :0.2296006  
##  3rd Qu.:-1.085490   3rd Qu.:0.3262705  
##  Max.   : 0.001193   Max.   :0.7708525  
## 
## $tables$MMP_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1614
## 
##        x                 y            
##  Min.   :-4.9069   Min.   :0.0001477  
##  1st Qu.:-3.8440   1st Qu.:0.0202014  
##  Median :-2.7811   Median :0.1192796  
##  Mean   :-2.7811   Mean   :0.2347424  
##  3rd Qu.:-1.7182   3rd Qu.:0.4079722  
##  Max.   :-0.6553   Max.   :0.7543996  
## 
## 
## $tables$MMP10
## $tables$MMP10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                y            
##  Min.   :-5.343   Min.   :0.0004474  
##  1st Qu.:-4.457   1st Qu.:0.0326114  
##  Median :-3.570   Median :0.1316350  
##  Mean   :-3.570   Mean   :0.2814658  
##  3rd Qu.:-2.684   3rd Qu.:0.4407209  
##  Max.   :-1.798   Max.   :1.1131115  
## 
## $tables$MMP10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1146
## 
##        x                y            
##  Min.   :-5.011   Min.   :0.0002376  
##  1st Qu.:-4.313   1st Qu.:0.0639220  
##  Median :-3.615   Median :0.1883134  
##  Mean   :-3.615   Mean   :0.3575896  
##  3rd Qu.:-2.918   3rd Qu.:0.7256202  
##  Max.   :-2.220   Max.   :0.9695254  
## 
## 
## $tables$MMP7
## $tables$MMP7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4298
## 
##        x                 y            
##  Min.   :-7.8961   Min.   :0.0001877  
##  1st Qu.:-5.7017   1st Qu.:0.0296373  
##  Median :-3.5072   Median :0.0703373  
##  Mean   :-3.5072   Mean   :0.1136922  
##  3rd Qu.:-1.3127   3rd Qu.:0.2118599  
##  Max.   : 0.8818   Max.   :0.3283795  
## 
## $tables$MMP7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4545
## 
##        x                y            
##  Min.   :-9.761   Min.   :5.049e-05  
##  1st Qu.:-7.035   1st Qu.:7.595e-03  
##  Median :-4.310   Median :7.733e-02  
##  Mean   :-4.310   Mean   :9.155e-02  
##  3rd Qu.:-1.584   3rd Qu.:1.513e-01  
##  Max.   : 1.141   Max.   :2.707e-01  
## 
## 
## $tables$NT_proBNP
## $tables$NT_proBNP$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1278
## 
##        x               y            
##  Min.   :3.488   Min.   :0.0004799  
##  1st Qu.:4.183   1st Qu.:0.0472861  
##  Median :4.879   Median :0.1644620  
##  Mean   :4.879   Mean   :0.3587442  
##  3rd Qu.:5.574   3rd Qu.:0.6206068  
##  Max.   :6.270   Max.   :1.2352851  
## 
## $tables$NT_proBNP$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09443
## 
##        x               y            
##  Min.   :2.895   Min.   :0.0002446  
##  1st Qu.:3.609   1st Qu.:0.0257804  
##  Median :4.323   Median :0.1530335  
##  Mean   :4.323   Mean   :0.3493812  
##  3rd Qu.:5.037   3rd Qu.:0.5785926  
##  Max.   :5.751   Max.   :1.3532174  
## 
## 
## $tables$Osteopontin
## $tables$Osteopontin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1546
## 
##        x               y            
##  Min.   :3.647   Min.   :0.0003974  
##  1st Qu.:4.427   1st Qu.:0.0424181  
##  Median :5.208   Median :0.1382530  
##  Mean   :5.208   Mean   :0.3197770  
##  3rd Qu.:5.988   3rd Qu.:0.6681657  
##  Max.   :6.768   Max.   :0.9236408  
## 
## $tables$Osteopontin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.104
## 
##        x               y            
##  Min.   :3.922   Min.   :0.0002219  
##  1st Qu.:4.597   1st Qu.:0.0539899  
##  Median :5.271   Median :0.2050811  
##  Mean   :5.271   Mean   :0.3698778  
##  3rd Qu.:5.946   3rd Qu.:0.6549779  
##  Max.   :6.620   Max.   :1.1054060  
## 
## 
## $tables$PAI_1
## $tables$PAI_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1684
## 
##        x                 y            
##  Min.   :-1.3796   Min.   :0.0003683  
##  1st Qu.:-0.6169   1st Qu.:0.0433878  
##  Median : 0.1458   Median :0.2047515  
##  Mean   : 0.1458   Mean   :0.3271269  
##  3rd Qu.: 0.9085   3rd Qu.:0.6651820  
##  Max.   : 1.6713   Max.   :0.7845451  
## 
## $tables$PAI_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1155
## 
##        x                   y            
##  Min.   :-1.337358   Min.   :0.0002009  
##  1st Qu.:-0.665516   1st Qu.:0.0465423  
##  Median : 0.006326   Median :0.2552360  
##  Mean   : 0.006326   Mean   :0.3713764  
##  3rd Qu.: 0.678169   3rd Qu.:0.6258449  
##  Max.   : 1.350011   Max.   :1.0998865  
## 
## 
## $tables$PLGF
## $tables$PLGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1622
## 
##        x               y            
##  Min.   :1.998   Min.   :0.0003764  
##  1st Qu.:2.831   1st Qu.:0.0253091  
##  Median :3.665   Median :0.1725115  
##  Mean   :3.665   Mean   :0.2994872  
##  3rd Qu.:4.498   3rd Qu.:0.5687072  
##  Max.   :5.331   Max.   :0.8938577  
## 
## $tables$PLGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1243
## 
##        x               y            
##  Min.   :2.571   Min.   :0.0001842  
##  1st Qu.:3.314   1st Qu.:0.0166082  
##  Median :4.057   Median :0.1947426  
##  Mean   :4.057   Mean   :0.3357975  
##  3rd Qu.:4.800   3rd Qu.:0.6666717  
##  Max.   :5.544   Max.   :0.9763553  
## 
## 
## $tables$Pancreatic_polypeptide
## $tables$Pancreatic_polypeptide$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2937
## 
##        x                 y            
##  Min.   :-2.1541   Min.   :0.0004183  
##  1st Qu.:-0.9124   1st Qu.:0.0345638  
##  Median : 0.3293   Median :0.1788613  
##  Mean   : 0.3293   Mean   :0.2009313  
##  3rd Qu.: 1.5710   3rd Qu.:0.3209413  
##  Max.   : 2.8126   Max.   :0.5212213  
## 
## $tables$Pancreatic_polypeptide$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2106
## 
##        x                 y            
##  Min.   :-2.7520   Min.   :0.0001181  
##  1st Qu.:-1.4939   1st Qu.:0.0177924  
##  Median :-0.2358   Median :0.1181308  
##  Mean   :-0.2358   Mean   :0.1983245  
##  3rd Qu.: 1.0223   3rd Qu.:0.3748847  
##  Max.   : 2.2803   Max.   :0.5971506  
## 
## 
## $tables$Protein_S
## $tables$Protein_S$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.132
## 
##        x                 y            
##  Min.   :-3.3850   Min.   :0.0006362  
##  1st Qu.:-2.7450   1st Qu.:0.0736674  
##  Median :-2.1050   Median :0.2180317  
##  Mean   :-2.1050   Mean   :0.3898316  
##  3rd Qu.:-1.4650   3rd Qu.:0.7054700  
##  Max.   :-0.8249   Max.   :1.1810831  
## 
## $tables$Protein_S$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08967
## 
##        x                y           
##  Min.   :-3.607   Min.   :0.000257  
##  1st Qu.:-2.954   1st Qu.:0.046951  
##  Median :-2.300   Median :0.164772  
##  Mean   :-2.300   Mean   :0.381793  
##  3rd Qu.:-1.647   3rd Qu.:0.696743  
##  Max.   :-0.993   Max.   :1.360841  
## 
## 
## $tables$Pulmonary_and_Activation_Regulat
## $tables$Pulmonary_and_Activation_Regulat$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1511
## 
##        x                  y            
##  Min.   :-2.75588   Min.   :0.0004523  
##  1st Qu.:-2.08129   1st Qu.:0.0628626  
##  Median :-1.40671   Median :0.2968929  
##  Mean   :-1.40671   Mean   :0.3698564  
##  3rd Qu.:-0.73212   3rd Qu.:0.6547507  
##  Max.   :-0.05753   Max.   :0.8981923  
## 
## $tables$Pulmonary_and_Activation_Regulat$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1424
## 
##        x                 y            
##  Min.   :-2.9405   Min.   :0.0002526  
##  1st Qu.:-2.1672   1st Qu.:0.0460465  
##  Median :-1.3939   Median :0.2339307  
##  Mean   :-1.3939   Mean   :0.3226469  
##  3rd Qu.:-0.6206   3rd Qu.:0.5587706  
##  Max.   : 0.1527   Max.   :0.8758486  
## 
## 
## $tables$Resistin
## $tables$Resistin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 2.203
## 
##        x                 y            
##  Min.   :-41.576   Min.   :2.761e-05  
##  1st Qu.:-30.090   1st Qu.:2.149e-03  
##  Median :-18.603   Median :1.134e-02  
##  Mean   :-18.603   Mean   :2.172e-02  
##  3rd Qu.: -7.116   3rd Qu.:4.033e-02  
##  Max.   :  4.370   Max.   :7.083e-02  
## 
## $tables$Resistin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 1.737
## 
##        x                 y            
##  Min.   :-37.350   Min.   :1.384e-05  
##  1st Qu.:-27.539   1st Qu.:2.849e-03  
##  Median :-17.728   Median :1.740e-02  
##  Mean   :-17.728   Mean   :2.543e-02  
##  3rd Qu.: -7.917   3rd Qu.:4.768e-02  
##  Max.   :  1.895   Max.   :6.878e-02  
## 
## 
## $tables$S100b
## $tables$S100b$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1279
## 
##        x                y            
##  Min.   :0.1209   Min.   :0.0004874  
##  1st Qu.:0.6790   1st Qu.:0.0631170  
##  Median :1.2371   Median :0.3857408  
##  Mean   :1.2371   Mean   :0.4470420  
##  3rd Qu.:1.7952   3rd Qu.:0.8295527  
##  Max.   :2.3533   Max.   :1.0532003  
## 
## $tables$S100b$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1065
## 
##        x                 y           
##  Min.   :-0.1322   Min.   :0.000216  
##  1st Qu.: 0.5739   1st Qu.:0.016795  
##  Median : 1.2800   Median :0.151859  
##  Mean   : 1.2800   Mean   :0.353361  
##  3rd Qu.: 1.9861   3rd Qu.:0.729348  
##  Max.   : 2.6922   Max.   :1.068651  
## 
## 
## $tables$Sortilin
## $tables$Sortilin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.3258
## 
##        x               y            
##  Min.   :1.364   Min.   :0.0001872  
##  1st Qu.:2.824   1st Qu.:0.0196961  
##  Median :4.283   Median :0.1410954  
##  Mean   :4.283   Mean   :0.1709258  
##  3rd Qu.:5.743   3rd Qu.:0.3170583  
##  Max.   :7.203   Max.   :0.4402174  
## 
## $tables$Sortilin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2559
## 
##        x               y            
##  Min.   :0.886   Min.   :0.0000898  
##  1st Qu.:2.413   1st Qu.:0.0185340  
##  Median :3.940   Median :0.1083839  
##  Mean   :3.940   Mean   :0.1634219  
##  3rd Qu.:5.466   3rd Qu.:0.2843334  
##  Max.   :6.993   Max.   :0.4845338  
## 
## 
## $tables$TIMP_1
## $tables$TIMP_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.7631
## 
##        x                y            
##  Min.   : 6.665   Min.   :7.996e-05  
##  1st Qu.:10.291   1st Qu.:5.927e-03  
##  Median :13.918   Median :4.027e-02  
##  Mean   :13.918   Mean   :6.880e-02  
##  3rd Qu.:17.544   3rd Qu.:1.315e-01  
##  Max.   :21.170   Max.   :1.901e-01  
## 
## $tables$TIMP_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.5226
## 
##        x                 y            
##  Min.   : 0.1739   Min.   :0.0000000  
##  1st Qu.: 4.9973   1st Qu.:0.0002628  
##  Median : 9.8207   Median :0.0066975  
##  Mean   : 9.8207   Mean   :0.0517288  
##  3rd Qu.:14.6441   3rd Qu.:0.0812559  
##  Max.   :19.4675   Max.   :0.2370685  
## 
## 
## $tables$TNF_RII
## $tables$TNF_RII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1287
## 
##        x                 y            
##  Min.   :-1.7724   Min.   :0.0004729  
##  1st Qu.:-1.1153   1st Qu.:0.0399146  
##  Median :-0.4581   Median :0.1767396  
##  Mean   :-0.4581   Mean   :0.3796843  
##  3rd Qu.: 0.1990   3rd Qu.:0.7846294  
##  Max.   : 0.8561   Max.   :1.0878833  
## 
## $tables$TNF_RII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09976
## 
##        x                  y            
##  Min.   :-1.96002   Min.   :0.0002298  
##  1st Qu.:-1.31108   1st Qu.:0.0216834  
##  Median :-0.66213   Median :0.1367883  
##  Mean   :-0.66213   Mean   :0.3844817  
##  3rd Qu.:-0.01318   3rd Qu.:0.7880589  
##  Max.   : 0.63577   Max.   :1.1788242  
## 
## 
## $tables$TRAIL_R3
## $tables$TRAIL_R3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08757
## 
##        x                 y            
##  Min.   :-1.1644   Min.   :0.0006967  
##  1st Qu.:-0.7402   1st Qu.:0.0605912  
##  Median :-0.3161   Median :0.3641310  
##  Mean   :-0.3161   Mean   :0.5882954  
##  3rd Qu.: 0.1080   3rd Qu.:1.1507193  
##  Max.   : 0.5321   Max.   :1.6012376  
## 
## $tables$TRAIL_R3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.071
## 
##        x                  y            
##  Min.   :-1.42370   Min.   :0.0003239  
##  1st Qu.:-0.96810   1st Qu.:0.0299211  
##  Median :-0.51251   Median :0.2241354  
##  Mean   :-0.51251   Mean   :0.5476573  
##  3rd Qu.:-0.05692   3rd Qu.:1.1322475  
##  Max.   : 0.39867   Max.   :1.6594882  
## 
## 
## $tables$Thrombomodulin
## $tables$Thrombomodulin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08265
## 
##        x                 y            
##  Min.   :-2.2233   Min.   :0.0007774  
##  1st Qu.:-1.8097   1st Qu.:0.0789252  
##  Median :-1.3960   Median :0.2423543  
##  Mean   :-1.3960   Mean   :0.6031489  
##  3rd Qu.:-0.9823   3rd Qu.:1.2846085  
##  Max.   :-0.5687   Max.   :1.8615329  
## 
## $tables$Thrombomodulin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07006
## 
##        x                 y            
##  Min.   :-2.2478   Min.   :0.0005748  
##  1st Qu.:-1.8819   1st Qu.:0.1113643  
##  Median :-1.5160   Median :0.5888401  
##  Mean   :-1.5160   Mean   :0.6818655  
##  3rd Qu.:-1.1501   3rd Qu.:1.1895943  
##  Max.   :-0.7842   Max.   :1.7639707  
## 
## 
## $tables$Thrombopoietin
## $tables$Thrombopoietin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.06773
## 
##        x                  y            
##  Min.   :-1.74275   Min.   :0.0009015  
##  1st Qu.:-1.32325   1st Qu.:0.0451482  
##  Median :-0.90376   Median :0.3488088  
##  Mean   :-0.90376   Mean   :0.5947557  
##  3rd Qu.:-0.48426   3rd Qu.:0.9909795  
##  Max.   :-0.06476   Max.   :2.1026315  
## 
## $tables$Thrombopoietin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.07041
## 
##        x                 y            
##  Min.   :-1.5184   Min.   :0.0003267  
##  1st Qu.:-1.0616   1st Qu.:0.0348825  
##  Median :-0.6048   Median :0.3479396  
##  Mean   :-0.6048   Mean   :0.5461857  
##  3rd Qu.:-0.1480   3rd Qu.:0.9234895  
##  Max.   : 0.3089   Max.   :1.7648531  
## 
## 
## $tables$Thymus_Expressed_Chemokine_TECK
## $tables$Thymus_Expressed_Chemokine_TECK$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2555
## 
##        x               y           
##  Min.   :1.170   Min.   :0.000239  
##  1st Qu.:2.625   1st Qu.:0.017862  
##  Median :4.081   Median :0.079276  
##  Mean   :4.081   Mean   :0.171420  
##  3rd Qu.:5.536   3rd Qu.:0.310995  
##  Max.   :6.992   Max.   :0.559876  
## 
## $tables$Thymus_Expressed_Chemokine_TECK$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1889
## 
##        x                y            
##  Min.   :0.9418   Min.   :0.0001233  
##  1st Qu.:2.4043   1st Qu.:0.0171002  
##  Median :3.8669   Median :0.0722106  
##  Mean   :3.8669   Mean   :0.1705975  
##  3rd Qu.:5.3294   3rd Qu.:0.2912266  
##  Max.   :6.7920   Max.   :0.5967206  
## 
## 
## $tables$VEGF
## $tables$VEGF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.5539
## 
##        x               y            
##  Min.   :11.04   Min.   :0.0001229  
##  1st Qu.:13.97   1st Qu.:0.0183212  
##  Median :16.90   Median :0.0446594  
##  Mean   :16.90   Mean   :0.0852277  
##  3rd Qu.:19.82   3rd Qu.:0.1613336  
##  Max.   :22.75   Max.   :0.2622160  
## 
## $tables$VEGF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.523
## 
##        x               y            
##  Min.   :10.26   Min.   :4.404e-05  
##  1st Qu.:13.68   1st Qu.:8.378e-03  
##  Median :17.11   Median :3.543e-02  
##  Mean   :17.11   Mean   :7.292e-02  
##  3rd Qu.:20.53   3rd Qu.:1.279e-01  
##  Max.   :23.95   Max.   :2.297e-01  
## 
## 
## $tables$E4
## $tables$E4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.189
## 
##        x                y          
##  Min.   :0.4329   Min.   :0.00965  
##  1st Qu.:0.9664   1st Qu.:0.11395  
##  Median :1.5000   Median :0.37933  
##  Mean   :1.5000   Mean   :0.46703  
##  3rd Qu.:2.0336   3rd Qu.:0.78142  
##  Max.   :2.5671   Max.   :1.24269  
## 
## $tables$E4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1479
## 
##        x                y           
##  Min.   :0.5562   Min.   :0.008364  
##  1st Qu.:1.0281   1st Qu.:0.071217  
##  Median :1.5000   Median :0.345225  
##  Mean   :1.5000   Mean   :0.528053  
##  3rd Qu.:1.9719   3rd Qu.:0.833414  
##  Max.   :2.4438   Max.   :1.806542  
## 
## 
## $tables$E2
## $tables$E2$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1055
## 
##        x                y           
##  Min.   :0.6834   Min.   :0.000027  
##  1st Qu.:1.0917   1st Qu.:0.010496  
##  Median :1.5000   Median :0.130505  
##  Mean   :1.5000   Mean   :0.610325  
##  3rd Qu.:1.9083   3rd Qu.:0.529965  
##  Max.   :2.3166   Max.   :3.468090  
## 
## $tables$E2$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1236
## 
##        x                y            
##  Min.   :0.6292   Min.   :0.0007015  
##  1st Qu.:1.0646   1st Qu.:0.0369939  
##  Median :1.5000   Median :0.2460256  
##  Mean   :1.5000   Mean   :0.5723030  
##  3rd Qu.:1.9354   3rd Qu.:0.6137616  
##  Max.   :2.3708   Max.   :2.6115594  
## 
## 
## 
## $levels
## [1] "Impaired" "Control" 
## 
## $call
## NaiveBayes.default(x = x, grouping = y, usekernel = TRUE, fL = 2, 
##     metric = "ROC")
## 
## $x
##     Alpha_1_Antichymotrypsin Alpha_1_Antitrypsin Alpha_1_Microglobulin
## 1                  1.7404662          -12.631361             -2.577022
## 2                  1.4586150          -11.909882             -3.244194
## 3                  1.1939225          -13.642963             -2.882404
## 5                  2.1282317          -11.133063             -2.343407
## 6                  1.3083328          -12.134638             -2.551046
## 7                  0.8329091          -12.813142             -3.270169
## 8                  1.5260563          -13.310348             -2.900422
## 9                  0.7419373          -12.907477             -3.649659
## 11                 1.0986123          -13.310348             -3.079114
## 12                 1.9021075          -11.838035             -2.353878
## 14                 1.3862944          -11.909882             -2.513306
## 16                 1.4109870          -11.983227             -2.900422
## 17                 1.8245493          -11.499497             -2.733368
## 18                 1.2237754          -14.135373             -3.296837
## 19                 1.3083328          -12.292758             -2.975930
## 20                 2.1633230           -8.932463             -2.590267
## 21                 0.9555114          -14.135373             -2.937463
## 22                 1.3609766          -15.344812             -3.688879
## 23                 1.1314021          -13.642963             -3.575551
## 24                 1.3083328          -13.310348             -3.411248
## 25                 0.7884574          -13.528896             -3.170086
## 26                 1.0986123          -13.205557             -3.218876
## 28                 1.5260563          -11.909882             -3.057608
## 29                 0.9932518          -14.135373             -3.816713
## 30                 1.1314021          -13.760451             -3.270169
## 31                 1.5475625          -12.058126             -2.617296
## 34                 1.4109870          -11.435607             -2.563950
## 35                 1.2237754          -12.458129             -2.453408
## 36                 2.1041342          -11.909882             -2.040221
## 37                 1.1314021          -14.548755             -3.324236
## 38                 1.3609766          -13.528896             -3.015935
## 39                 0.8754687          -16.321511             -3.194183
## 40                 1.7749524          -13.418078             -2.796881
## 41                 1.8870696           -8.191715             -2.501036
## 42                 1.1314021          -13.881545             -2.796881
## 43                 1.0647107          -13.004247             -3.575551
## 44                 1.5892352          -12.907477             -2.645075
## 45                 1.8082888          -12.058126             -2.748872
## 46                 1.3862944          -15.008176             -3.270169
## 47                 1.3862944          -11.630963             -3.079114
## 48                 1.4816045          -15.344812             -3.057608
## 50                 1.3862944          -11.698625             -2.590267
## 51                 1.3609766          -12.374500             -3.270169
## 53                 1.5892352          -13.881545             -2.918771
## 55                 1.3862944          -15.344812             -2.918771
## 56                 1.5260563          -11.698625             -2.419119
## 57                 1.8405496          -12.212827             -2.525729
## 59                 1.6486586          -11.250842             -2.441847
## 60                 1.4586150          -13.103567             -3.123566
## 61                 1.1631508          -14.006447             -3.411248
## 62                 0.8329091          -15.008176             -3.772261
## 63                 1.3350011          -12.907477             -2.780621
## 64                 1.7749524          -12.631361             -2.453408
## 65                 0.7419373          -15.523564             -3.352407
## 67                 1.4350845          -14.406260             -3.324236
## 68                 1.3862944          -14.268559             -2.659260
## 69                 0.8329091          -15.008176             -3.473768
## 70                 0.9932518          -14.406260             -3.729701
## 71                 1.7047481          -12.134638             -2.441847
## 72                 2.2082744          -10.963846             -1.832581
## 73                 1.5892352          -14.135373             -1.897120
## 74                 1.4109870          -10.802885             -2.813411
## 75                 2.0412203          -12.907477             -2.419119
## 76                 1.5260563          -10.363053             -2.718101
## 77                 1.6292405          -11.564602             -2.688248
## 78                 1.5892352          -11.311317             -2.353878
## 80                 1.4350845          -13.205557             -2.830218
## 81                 1.3862944          -12.292758             -3.170086
## 82                 1.1939225          -12.292758             -3.015935
## 83                 1.1631508          -12.374500             -2.673649
## 84                 1.2809338          -11.564602             -3.146555
## 85                 1.5686159          -12.212827             -2.590267
## 86                 2.1633230          -11.019298             -1.832581
## 88                 1.4350845          -13.418078             -2.441847
## 90                 0.9932518          -14.849365             -4.342806
## 93                 1.8082888          -13.004247             -2.780621
## 94                 2.2823824          -12.292758             -2.333044
## 95                 1.2527630          -12.058126             -3.244194
## 96                 1.0986123          -14.406260             -3.015935
## 97                 0.9162907          -13.881545             -3.170086
## 98                 0.9932518          -15.344812             -3.816713
## 99                 1.5040774          -14.268559             -2.703063
## 100                1.1939225          -15.008176             -3.170086
## 103                1.3609766          -13.310348             -3.218876
## 104                1.2237754          -13.881545             -3.194183
## 105                1.1939225          -12.374500             -3.057608
## 107                1.2809338          -13.004247             -2.813411
## 108                1.7047481          -13.103567             -2.353878
## 109                0.4054651          -16.780588             -3.688879
## 110                0.7884574          -15.173178             -4.017384
## 111                1.2527630          -14.268559             -2.956512
## 112                1.9169226          -12.058126             -1.966113
## 113                1.8718022          -11.191436             -2.419119
## 114                1.2237754          -13.418078             -3.296837
## 115                1.7227666          -11.499497             -2.718101
## 117                1.2237754          -14.006447             -3.688879
## 118                1.4350845          -13.881545             -2.937463
## 121                1.9315214           -9.562842             -2.631089
## 123                0.9555114          -13.103567             -3.649659
## 124                1.6292405          -13.004247             -2.375156
## 126                0.9932518          -13.418078             -3.324236
## 128                1.9169226          -10.750945             -2.590267
## 129                1.1939225          -13.103567             -3.079114
## 130                1.4350845          -10.363053             -2.302585
## 131                1.0647107          -13.642963             -3.079114
## 132                1.7578579          -12.058126             -2.733368
## 133                1.7047481          -11.983227             -2.353878
## 134                1.6677068          -12.813142             -2.441847
## 135                1.4816045          -11.499497             -3.079114
## 136                1.4350845          -12.374500             -3.015935
## 137                0.9162907          -14.135373             -3.575551
## 139                1.0986123          -14.406260             -3.244194
## 140                1.2237754          -13.881545             -2.830218
## 141                1.4109870          -11.250842             -2.956512
## 143                1.5260563          -12.134638             -2.900422
## 144                1.4816045          -13.528896             -2.659260
## 145                0.7884574          -14.696346             -3.688879
## 146                1.7404662          -13.103567             -2.120264
## 147                1.5040774          -13.881545             -2.995732
## 148                2.2512918          -12.907477             -2.040221
## 149                0.6931472          -15.008176             -3.057608
## 152                1.8082888          -12.458129             -2.302585
## 153                1.6094379          -12.374500             -2.577022
## 154                0.9162907          -14.696346             -3.244194
## 155                1.1314021          -12.631361             -3.270169
## 156                1.7227666          -12.543721             -2.385967
## 157                1.2527630          -13.310348             -3.296837
## 158                1.0647107          -14.268559             -3.381395
## 159                1.6292405          -11.838035             -3.506558
## 160                1.7404662          -12.721137             -2.882404
## 161                1.3609766          -12.458129             -2.302585
## 162                1.2237754          -15.523564             -3.729701
## 163                0.6931472          -15.709974             -4.017384
## 165                1.0986123          -14.135373             -3.352407
## 166                0.7419373          -14.135373             -3.352407
## 167                1.0647107          -14.406260             -2.813411
## 168                1.4816045          -14.006447             -3.244194
## 169                1.0647107          -13.205557             -3.146555
## 170                1.1314021          -12.134638             -2.995732
## 171                1.5040774          -10.599937             -2.780621
## 172                1.0296194          -12.631361             -3.411248
## 174                1.6292405          -11.435607             -1.897120
## 175                1.9021075          -11.838035             -2.343407
## 176                1.6863990          -11.133063             -2.688248
## 177                1.4586150          -14.548755             -3.540459
## 178                0.9555114          -14.135373             -3.411248
## 179                1.9021075          -13.103567             -2.120264
## 180                1.6292405          -13.103567             -2.688248
## 181                0.6931472          -15.173178             -3.381395
## 182                1.4109870          -15.173178             -3.296837
## 183                1.3862944          -13.205557             -2.780621
## 184                1.2809338          -12.813142             -2.918771
## 185                1.4109870          -12.212827             -2.476938
## 186                1.0647107          -16.545310             -3.244194
## 189                0.9932518          -13.205557             -3.649659
## 190                1.6292405          -14.406260             -2.937463
## 191                1.4109870          -13.528896             -3.352407
## 192                1.5040774          -13.881545             -2.631089
## 193                1.7749524          -11.191436             -2.796881
## 194                1.2237754          -12.907477             -2.847312
## 195                0.9932518          -12.907477             -3.101093
## 197                1.5040774          -11.983227             -2.120264
## 198                0.8329091          -15.904641             -3.611918
## 200                1.1939225          -12.721137             -3.381395
## 201                1.0986123          -13.642963             -3.411248
## 202                0.8329091          -14.696346             -3.688879
## 205                1.3609766          -17.028429             -2.673649
## 208                1.4816045          -13.881545             -2.918771
## 210                1.5040774          -10.699822             -2.501036
## 212                1.6677068          -12.631361             -2.748872
## 213                1.4109870          -12.458129             -2.453408
## 214                1.6863990          -12.543721             -2.796881
## 215                1.1631508          -14.696346             -3.611918
## 216                1.5475625          -13.004247             -2.780621
## 218                1.7047481          -13.103567             -2.207275
## 219                0.8754687          -13.760451             -3.270169
## 220                1.0986123          -14.406260             -3.411248
## 223                1.3862944          -12.212827             -2.563950
## 224                1.2809338          -12.721137             -3.244194
## 225                1.2809338          -13.528896             -3.473768
## 226                1.6486586          -13.205557             -3.244194
## 227                2.0541237          -12.813142             -1.966113
## 228                1.0647107          -14.696346             -3.352407
## 229                1.1939225          -14.006447             -3.170086
## 230                1.4350845          -12.292758             -1.966113
## 231                1.0647107          -11.767633             -3.123566
## 232                1.2809338          -12.907477             -2.975930
## 233                1.2809338          -13.205557             -3.036554
## 234                1.1939225          -11.983227             -2.673649
## 236                0.7419373          -13.004247             -3.352407
## 237                1.7047481          -10.185537             -2.563950
## 239                1.0296194          -13.418078             -3.863233
## 240                0.9162907          -14.548755             -2.617296
## 241                1.1939225          -11.983227             -3.244194
## 242                1.6781472          -14.135373             -1.771957
## 243                1.7227666          -10.317725             -2.733368
## 244                1.4109870          -11.698625             -2.673649
## 245                0.4054651          -15.904641             -3.912023
## 246                1.5892352          -11.698625             -2.322788
## 247                0.5877867          -15.709974             -3.729701
## 249                1.2237754          -14.849365             -2.995732
## 250                1.1631508          -13.310348             -2.813411
## 251                0.8754687          -12.721137             -3.218876
## 253                1.8718022          -10.750945             -2.525729
## 254                1.7578579          -12.721137             -2.430418
## 255                1.7749524          -11.191436             -2.617296
## 256                1.1314021          -15.523564             -3.611918
## 257                0.6418539          -15.523564             -3.218876
## 258                1.2809338          -10.802885             -2.302585
## 260                1.1939225          -13.310348             -2.900422
## 261                0.7884574          -13.004247             -3.270169
## 262                1.1314021          -14.135373             -3.411248
## 263                1.5040774          -13.004247             -2.796881
## 264                2.3025851           -8.191715             -2.353878
## 265                1.2809338          -14.406260             -3.352407
## 267                1.3350011          -13.310348             -2.813411
## 268                1.6486586          -13.103567             -2.385967
## 269                0.9162907          -14.696346             -3.816713
## 270                1.3609766          -14.268559             -3.146555
## 271                1.3083328          -12.458129             -2.501036
## 272                1.5260563          -11.564602             -2.780621
## 273                1.4586150          -13.881545             -3.244194
## 274                0.2623643          -13.418078             -3.411248
## 275                1.5260563          -13.205557             -2.864704
## 277                1.4586150          -11.838035             -2.748872
## 278                1.4350845          -12.292758             -2.813411
## 279                1.3862944          -12.058126             -3.244194
## 281                1.1314021          -13.205557             -3.057608
## 282                1.5892352          -12.458129             -2.513306
## 283                1.3609766          -12.907477             -2.513306
## 287                1.3350011          -14.548755             -3.079114
## 289                1.0986123          -13.004247             -3.270169
## 290                1.3609766          -14.268559             -3.146555
## 291                1.4586150          -12.721137             -2.703063
## 292                1.3083328          -12.374500             -2.995732
## 294                1.0296194          -15.709974             -3.244194
## 297                1.3609766          -14.006447             -2.577022
## 298                0.8754687          -13.205557             -2.617296
## 299                0.8754687          -12.721137             -3.540459
## 301                0.8754687          -12.721137             -2.864704
## 302                1.0986123          -11.311317             -3.324236
## 303                1.3083328          -13.310348             -3.057608
## 304                1.7047481          -11.499497             -3.381395
## 305                1.5475625          -15.904641             -2.718101
## 306                1.4586150          -11.133063             -2.040221
## 307                2.1747517          -11.191436             -2.120264
## 308                1.7404662          -12.458129             -2.419119
## 311                1.5475625          -11.019298             -2.764621
## 312                1.4109870           -8.417032             -2.688248
## 313                1.3083328          -14.406260             -3.057608
## 314                0.7884574          -15.523564             -3.772261
## 315                2.0014800          -12.721137             -2.538307
## 316                1.0296194          -13.310348             -3.381395
## 317                1.3350011          -13.418078             -3.244194
## 320                1.6863990          -11.630963             -2.040221
## 321                1.1939225          -12.292758             -2.813411
## 322                2.1162555          -10.551134             -2.120264
## 323                1.7227666          -13.418078             -2.430418
## 324                0.9162907          -14.849365             -3.649659
## 325                1.6677068          -12.907477             -2.813411
## 326                1.4586150          -14.006447             -3.123566
## 327                1.4586150          -11.838035             -2.419119
## 329                1.0986123          -16.321511             -3.324236
## 330                1.6094379          -11.838035             -2.120264
## 331                1.1939225          -14.406260             -3.170086
## 332                1.7047481          -12.543721             -3.036554
## 333                1.2809338          -12.907477             -2.995732
##     Alpha_2_Macroglobulin Apolipoprotein_CIII Apolipoprotein_D
## 1               -72.65029           -2.312635        2.0794415
## 2              -154.61228           -2.343407        1.3350011
## 3              -136.52918           -2.748872        1.3350011
## 5              -144.94460           -1.514128        1.6292405
## 6              -154.61228           -2.312635        1.9169226
## 7              -149.60441           -2.375156        1.5260563
## 8              -144.94460           -2.120264        1.7227666
## 9              -194.94684           -2.476938        0.9555114
## 11              -91.36978           -2.322788        1.4109870
## 12             -132.71508           -1.832581        1.2809338
## 14             -104.44595           -2.563950        1.3350011
## 16              -94.72274           -2.577022        1.3609766
## 17             -149.60441           -2.312635        1.0986123
## 18             -225.75583           -3.057608        1.4109870
## 19             -179.08749           -2.120264        1.3609766
## 20             -186.64150           -1.771957        1.3862944
## 21             -149.60441           -2.322788        0.9162907
## 22             -165.84824           -3.036554        1.3083328
## 23             -238.63748           -2.780621        0.4700036
## 24             -179.08749           -2.465104        1.9021075
## 25             -194.94684           -2.333044        1.8245493
## 26             -186.64150           -2.577022        0.8754687
## 28             -165.84824           -2.590267        1.7227666
## 29             -238.63748           -2.975930        1.1631508
## 30             -225.75583           -2.385967        1.4586150
## 31             -172.18413           -2.040221        1.5040774
## 34             -186.64150           -1.897120        1.3083328
## 35             -179.08749           -1.966113        1.2809338
## 36             -140.59662           -1.560648        1.9600948
## 37             -172.18413           -2.703063        1.6292405
## 38             -154.61228           -2.733368        1.0986123
## 39             -144.94460           -3.057608        1.1314021
## 40             -140.59662           -2.659260        1.4586150
## 41             -106.66533           -1.427116        1.6486586
## 42             -125.75495           -2.830218        1.1314021
## 43             -194.94684           -2.900422        1.0647107
## 44              -89.78989           -2.900422        1.4109870
## 45             -136.52918           -2.322788        1.7404662
## 46             -125.75495           -3.079114        0.9555114
## 47             -100.30070           -2.551046        0.9932518
## 48              -71.69519           -2.525729        1.1631508
## 50              -93.01273           -2.120264        1.2809338
## 51             -125.75495           -2.513306        1.6677068
## 53              -82.71675           -2.476938        1.0296194
## 55             -160.01040           -2.563950        1.2237754
## 56             -140.59662           -2.513306        1.6677068
## 57              -67.30674           -2.937463        1.5475625
## 59             -108.99239           -1.966113        1.7227666
## 60              -84.03131           -2.796881        1.5892352
## 61             -179.08749           -2.864704        0.9555114
## 62             -225.75583           -2.513306        1.1631508
## 63              -96.50416           -2.659260        0.9932518
## 64             -165.84824           -1.897120        1.3350011
## 65             -160.01040           -2.830218        0.9555114
## 67             -122.56978           -2.603690        1.0647107
## 68              -75.69273           -2.476938        1.6486586
## 69             -122.56978           -2.617296        0.9932518
## 70             -149.60441           -3.015935        1.3350011
## 71             -179.08749           -2.563950        0.7419373
## 72             -138.25835           -1.714763        1.8718022
## 73              -81.44692           -2.207275        1.0296194
## 74             -186.64150           -2.120264        1.3862944
## 75             -129.13061           -2.120264        1.2527630
## 76             -154.61228           -2.513306        1.6094379
## 77             -165.84824           -2.207275        1.3862944
## 78             -140.59662           -2.733368        2.0794415
## 80              -91.36978           -2.476938        1.5040774
## 81             -160.01040           -2.780621        1.3862944
## 82             -149.60441           -2.590267        1.7917595
## 83             -165.84824           -2.645075        1.6292405
## 84             -154.61228           -2.847312        1.2809338
## 85             -136.52918           -2.551046        1.7047481
## 86             -140.59662           -2.207275        1.6863990
## 88              -74.64766           -2.645075        1.6863990
## 90             -253.28958           -3.473768        1.0296194
## 93             -140.59662           -2.780621        1.5475625
## 94             -102.32669           -1.832581        2.1633230
## 95             -214.33276           -1.966113        1.3350011
## 96             -172.18413           -2.748872        1.4586150
## 97             -172.18413           -2.830218        1.7917595
## 98             -186.64150           -2.590267        1.0986123
## 99             -140.59662           -2.590267        1.6094379
## 100            -154.61228           -2.975930        1.5686159
## 103            -116.70786           -2.453408        1.5686159
## 104            -154.61228           -2.830218        1.4350845
## 105            -172.18413           -2.631089        1.3609766
## 107             -93.01273           -2.501036        1.5686159
## 108            -165.84824           -2.207275        2.1517622
## 109            -204.12656           -2.995732        1.1314021
## 110            -225.75583           -3.688879        0.8754687
## 111            -102.32669           -2.659260        1.4816045
## 112             -93.01273           -1.609438        1.8405496
## 113            -102.32669           -1.897120        1.4816045
## 114            -194.94684           -2.302585        1.5686159
## 115            -104.44595           -2.120264        1.8082888
## 117            -253.28958           -2.207275        1.3862944
## 118            -100.30070           -2.590267        1.7404662
## 121            -116.70786           -2.207275        2.0794415
## 123            -225.75583           -2.703063        1.1939225
## 124            -160.01040           -2.525729        1.8718022
## 126            -165.84824           -3.079114        0.8329091
## 128            -132.71508           -1.237874        1.7917595
## 129            -194.94684           -3.324236        1.3609766
## 130            -144.94460           -2.120264        1.2237754
## 131            -186.64150           -2.538307        0.9162907
## 132            -204.12656           -2.577022        1.3862944
## 133            -149.60441           -1.660731        2.1162555
## 134             -94.72274           -2.120264        1.7227666
## 135            -119.55888           -2.207275        1.8082888
## 136            -165.84824           -2.407946        1.5260563
## 137            -194.94684           -2.733368        0.7419373
## 139            -172.18413           -2.441847        1.2527630
## 140            -108.99239           -2.645075        1.8718022
## 141            -165.84824           -2.302585        1.6486586
## 143            -204.12656           -2.396896        1.1939225
## 144            -165.84824           -2.748872        1.5260563
## 145            -225.75583           -2.847312        1.0647107
## 146            -140.59662           -2.302585        2.0412203
## 147             -89.78989           -2.733368        1.8082888
## 148            -136.52918           -2.302585        2.0281482
## 149            -179.08749           -2.780621        1.1314021
## 152             -59.45638           -2.040221        2.1972246
## 153            -116.70786           -2.465104        2.0918641
## 154            -172.18413           -2.513306        0.9555114
## 155            -160.01040           -2.120264        1.5892352
## 156            -165.84824           -2.120264        1.3862944
## 157            -165.84824           -2.577022        1.4586150
## 158            -194.94684           -2.937463        1.1939225
## 159            -194.94684           -2.513306        0.6931472
## 160            -136.52918           -2.375156        1.3350011
## 161            -149.60441           -2.577022        1.1939225
## 162            -119.55888           -3.057608        1.0986123
## 163            -194.94684           -3.411248        0.9555114
## 165            -154.61228           -3.506558        1.1314021
## 166            -149.60441           -2.718101        1.1631508
## 167            -140.59662           -2.882404        1.5475625
## 168            -186.64150           -2.120264        1.2809338
## 169            -194.94684           -2.645075        1.5475625
## 170            -186.64150           -2.353878        1.2809338
## 171            -154.61228           -2.703063        1.6486586
## 172            -225.75583           -2.302585        1.3609766
## 174             -71.69519           -1.386294        1.9600948
## 175            -119.55888           -1.609438        2.2721259
## 176            -125.75495           -2.718101        1.3609766
## 177            -165.84824           -2.937463        1.5475625
## 178            -225.75583           -2.577022        0.7884574
## 179            -116.70786           -1.469676        1.8562980
## 180            -160.01040           -2.501036        1.9878743
## 181            -225.75583           -3.352407        1.1631508
## 182            -194.94684           -2.207275        1.4109870
## 183            -214.33276           -1.832581        2.0014800
## 184            -149.60441           -2.673649        1.6863990
## 185            -144.94460           -2.120264        1.4816045
## 186            -194.94684           -2.796881        1.3083328
## 189            -186.64150           -2.796881        1.3862944
## 190            -132.71508           -2.995732        1.7917595
## 191            -179.08749           -2.617296        1.7404662
## 192            -149.60441           -2.847312        1.4109870
## 193            -140.59662           -2.385967        1.4350845
## 194            -160.01040           -2.488915        1.5475625
## 195            -172.18413           -2.703063        1.0986123
## 197             -94.72274           -2.302585        1.7917595
## 198            -186.64150           -3.146555        1.3083328
## 200            -165.84824           -2.419119        1.5892352
## 201            -144.94460           -2.733368        1.4586150
## 202            -225.75583           -2.617296        0.8754687
## 205            -172.18413           -2.937463        1.2527630
## 208            -149.60441           -2.577022        1.7047481
## 210             -98.36175           -1.966113        1.7404662
## 212            -186.64150           -2.563950        1.0647107
## 213            -179.08749           -2.364460        1.6486586
## 214            -160.01040           -2.040221        1.1631508
## 215            -136.52918           -2.937463        0.7419373
## 216            -194.94684           -2.673649        1.3083328
## 218            -165.84824           -2.120264        1.7917595
## 219            -179.08749           -2.488915        1.0986123
## 220            -172.18413           -2.995732        1.1939225
## 223            -194.94684           -1.966113        1.8718022
## 224            -214.33276           -2.396896        1.2809338
## 225            -179.08749           -2.703063        1.3083328
## 226            -136.52918           -3.123566        1.8870696
## 227            -179.08749           -1.771957        2.0412203
## 228            -214.33276           -3.194183        0.7884574
## 229            -225.75583           -2.937463        1.6486586
## 230             -75.69273           -2.207275        1.5260563
## 231            -144.94460           -2.563950        1.2527630
## 232            -140.59662           -3.079114        1.3083328
## 233            -186.64150           -2.501036        1.5686159
## 234            -129.13061           -2.040221        1.8405496
## 236            -204.12656           -3.170086        1.1631508
## 237            -149.60441           -2.385967        1.7404662
## 239            -253.28958           -3.057608        1.1631508
## 240            -116.70786           -2.577022        0.9932518
## 241            -179.08749           -2.040221        1.3350011
## 242            -160.01040           -1.469676        1.5040774
## 243            -179.08749           -2.419119        1.4350845
## 244            -172.18413           -2.396896        1.3862944
## 245            -253.28958           -3.540459        0.8329091
## 246            -149.60441           -2.120264        1.8562980
## 247            -204.12656           -3.473768        0.6418539
## 249            -160.01040           -3.411248        1.1631508
## 250            -179.08749           -2.748872        1.1939225
## 251            -179.08749           -2.918771        1.2527630
## 253            -144.94460           -2.207275        1.6486586
## 254            -132.71508           -2.207275        1.8870696
## 255            -106.66533           -2.040221        1.8082888
## 256            -186.64150           -3.079114        0.8754687
## 257            -214.33276           -2.631089        1.0647107
## 258            -160.01040           -2.322788        0.8754687
## 260            -179.08749           -2.577022        1.4816045
## 261            -214.33276           -2.631089        0.9932518
## 262            -194.94684           -2.918771        1.2527630
## 263            -104.44595           -2.040221        1.6863990
## 264            -144.94460           -1.897120        2.0014800
## 265            -186.64150           -2.780621        1.4109870
## 267            -160.01040           -2.525729        1.8718022
## 268             -79.03231           -2.353878        1.4109870
## 269            -194.94684           -3.101093        1.1314021
## 270            -129.13061           -3.244194        1.5686159
## 271            -122.56978           -2.465104        1.6094379
## 272            -194.94684           -2.441847        1.5686159
## 273            -116.70786           -3.036554        1.4109870
## 274            -149.60441           -2.864704        1.3083328
## 275            -179.08749           -2.513306        1.6094379
## 277            -186.64150           -2.207275        1.4586150
## 278            -154.61228           -2.430418        1.5475625
## 279            -204.12656           -2.302585        1.5686159
## 281            -186.64150           -2.551046        1.5892352
## 282            -194.94684           -2.040221        1.2527630
## 283            -111.43549           -2.207275        1.6094379
## 287            -172.18413           -2.120264        1.1314021
## 289            -253.28958           -2.764621        1.4586150
## 290            -214.33276           -2.688248        0.9555114
## 291            -140.59662           -2.631089        1.6863990
## 292            -179.08749           -2.525729        1.8405496
## 294            -253.28958           -2.207275        1.5040774
## 297            -179.08749           -2.864704        1.4350845
## 298            -186.64150           -2.590267        1.2809338
## 299            -132.71508           -2.364460        1.7047481
## 301            -194.94684           -2.864704        1.2527630
## 302            -289.68493           -2.603690        1.3609766
## 303            -172.18413           -2.918771        1.5686159
## 304            -172.18413           -2.617296        1.3862944
## 305            -132.71508           -2.538307        1.7227666
## 306            -165.84824           -1.609438        1.8870696
## 307            -140.59662           -1.560648        2.2512918
## 308            -122.56978           -1.832581        1.7917595
## 311            -165.84824           -2.040221        1.5686159
## 312            -160.01040           -2.040221        1.3609766
## 313            -186.64150           -2.302585        1.6486586
## 314            -172.18413           -3.352407        1.3083328
## 315            -149.60441           -1.560648        1.5892352
## 316            -154.61228           -2.476938        1.1939225
## 317            -160.01040           -2.617296        1.2527630
## 320            -179.08749           -1.386294        1.4350845
## 321            -165.84824           -2.207275        1.3350011
## 322            -154.61228           -2.120264        1.4109870
## 323            -119.55888           -2.764621        1.3083328
## 324            -125.75495           -3.101093        1.2237754
## 325            -140.59662           -2.847312        1.6677068
## 326            -165.84824           -2.918771        1.3083328
## 327             -86.80482           -2.120264        1.9740810
## 329            -160.01040           -2.796881        1.1939225
## 330            -154.61228           -1.514128        1.9169226
## 331            -179.08749           -2.733368        1.2809338
## 332            -132.71508           -2.617296        1.6863990
## 333            -194.94684           -2.385967        1.5475625
##     B_Lymphocyte_Chemoattractant_BL        CD5L Clusterin_Apo_J Complement_3
## 1                         2.2969819  0.09531018        3.555348   -10.363053
## 2                         1.6731213 -0.67334455        3.044522   -16.108237
## 3                         1.6731213  0.09531018        2.772589   -16.108237
## 5                         2.2969819  0.36331197        3.044522   -12.813142
## 6                         2.4798381  0.40546511        2.564949   -11.983227
## 7                         1.6731213 -0.24846136        3.178054   -16.545310
## 8                         3.7036702  0.53062825        2.772589   -14.406260
## 9                         2.3713615 -0.75502258        2.564949   -19.247713
## 11                        1.8527528 -0.01005034        3.091042   -11.838035
## 12                        2.6867663  0.83290912        2.833213   -15.709974
## 14                        1.6731213  0.26236426        2.890372   -12.134638
## 16                        2.9757467 -0.26136476        3.044522   -12.721137
## 17                        3.0064666  0.33647224        2.944439   -12.813142
## 18                        1.2740115 -0.16251893        2.302585   -17.860668
## 19                        2.2786154  0.00000000        2.397895   -16.780588
## 20                        2.0627326 -0.05129329        2.708050   -15.523564
## 21                        1.4308338  0.18232156        2.484907   -13.528896
## 22                        1.9805094 -0.86750057        2.944439   -16.108237
## 23                        0.7317775 -0.61618614        2.564949   -18.506668
## 24                        1.8527528 -0.75502258        3.401197   -17.860668
## 25                        1.8527528 -0.52763274        2.708050   -20.111728
## 26                        1.8527528 -0.63487827        2.995732   -17.860668
## 28                        1.8527528  0.18232156        3.332205   -16.321511
## 29                        2.3713615 -0.15082289        2.564949   -17.860668
## 30                        0.7987698 -0.38566248        2.564949   -18.863805
## 31                        2.0219013  0.33647224        2.995732   -16.108237
## 34                        2.3713615 -0.16251893        2.772589   -16.108237
## 35                        1.9805094  0.18232156        2.484907   -16.545310
## 36                        3.4937139  0.87546874        2.833213   -13.881545
## 37                        2.1820549 -0.57981850        3.044522   -17.860668
## 38                        2.3713615 -0.75502258        2.708050   -16.545310
## 39                        2.0627326 -0.32850407        3.295837   -16.545310
## 40                        2.0627326  0.00000000        2.833213   -14.548755
## 41                        2.6867663  0.47000363        2.890372    -9.562842
## 42                        2.5152196 -0.77652879        2.890372   -14.696346
## 43                        2.1427912  0.18232156        2.397895   -18.506668
## 44                        1.6731213  0.53062825        2.995732   -12.134638
## 45                        2.1820549  0.00000000        3.218876   -12.212827
## 46                        2.6531400 -0.54472718        2.772589   -14.406260
## 47                        2.3713615  0.26236426        2.564949   -13.528896
## 48                        2.5848812 -0.17435339        3.496508   -11.909882
## 50                        2.3713615  0.18232156        3.496508   -12.631361
## 51                        1.9805094 -0.34249031        2.833213   -14.696346
## 53                        1.2740115  0.18232156        2.890372   -12.374500
## 55                        0.7317775 -0.26136476        2.833213   -15.709974
## 56                        2.6867663  0.47000363        2.772589   -15.709974
## 57                        2.6867663  0.18232156        3.332205   -11.191436
## 59                        2.9757467  0.33647224        2.890372   -12.721137
## 60                        1.6731213  0.26236426        2.772589   -13.004247
## 61                        1.2740115 -0.35667494        2.772589   -18.506668
## 62                        1.2740115 -0.38566248        2.708050   -20.111728
## 63                        2.3713615 -0.65392647        2.639057   -12.374500
## 64                        2.9757467  0.78845736        2.890372   -13.004247
## 65                        1.6731213 -0.41551544        2.708050   -17.860668
## 67                        1.9805094 -0.23572233        2.833213   -14.406260
## 68                        2.3713615 -0.59783700        2.890372   -12.631361
## 69                        1.2740115 -0.04082199        2.302585   -14.696346
## 70                        2.1820549 -0.96758403        3.044522   -17.028429
## 71                        2.0627326  0.18232156        2.639057   -16.545310
## 72                        2.6531400  0.91629073        3.401197   -13.746698
## 73                        2.0627326  1.09861229        2.944439   -12.212827
## 74                        2.0219013 -0.19845094        2.397895   -14.006447
## 75                        2.3713615 -0.13926207        2.944439   -14.135373
## 76                        2.6867663  0.00000000        3.295837   -15.008176
## 77                        1.9805094  0.53062825        3.044522   -15.344812
## 78                        1.8527528  0.64185389        3.332205   -13.205557
## 80                        2.0219013 -0.82098055        2.772589   -10.909311
## 81                        1.9805094 -0.44628710        2.944439   -17.860668
## 82                        2.7530556  0.18232156        3.135494   -14.696346
## 83                        2.3713615  0.33647224        2.772589   -15.523564
## 84                        1.9805094 -0.31471074        2.708050   -15.344812
## 85                        1.9805094 -0.24846136        3.401197   -14.849365
## 86                        3.4937139  0.69314718        3.295837   -14.696346
## 88                        2.4440754  0.69314718        3.135494   -10.599937
## 90                        1.5303762 -0.44628710        2.151762   -19.662161
## 93                        2.6867663  0.33647224        3.091042   -15.904641
## 94                        2.9757467  0.58778666        3.367296   -13.418078
## 95                        1.2740115 -0.21072103        2.833213   -17.860668
## 96                        2.1820549 -0.19845094        3.295837   -16.321511
## 97                        2.1820549 -0.52763274        3.091042   -18.863805
## 98                        0.7987698 -0.40047757        2.484907   -17.860668
## 99                        2.6531400  0.09531018        2.833213   -16.545310
## 100                       1.9805094 -0.24846136        3.091042   -16.780588
## 103                       2.3713615 -0.07257069        3.044522   -16.545310
## 104                       1.9805094  0.00000000        2.890372   -16.321511
## 105                       1.2740115 -0.49429632        3.178054   -17.566939
## 107                       1.8527528  0.00000000        2.944439   -11.909882
## 108                       2.0219013  0.26236426        2.995732   -15.008176
## 109                       1.2740115 -0.84397007        2.639057   -20.602047
## 110                       1.4810717 -0.49429632        2.302585   -23.387329
## 111                       2.3713615 -0.22314355        3.091042   -13.310348
## 112                       2.2969819  1.16315081        3.295837   -11.983227
## 113                       2.1820549  0.47000363        3.218876   -11.191436
## 114                       2.1820549 -0.11653382        2.484907   -16.108237
## 115                       2.9757467  0.47000363        2.833213   -11.698625
## 117                       2.2969819 -0.24846136        3.135494   -18.173167
## 118                       1.8527528 -0.24846136        3.367296   -12.543721
## 121                       2.6867663  0.09531018        2.944439   -13.760451
## 123                       1.6731213 -0.30110509        2.397895   -19.662161
## 124                       2.3713615  0.26236426        2.708050   -13.881545
## 126                       2.3713615 -0.28768207        2.302585   -18.173167
## 128                       2.3713615  0.18232156        2.890372   -14.268559
## 129                       2.6867663 -0.59783700        2.708050   -19.662161
## 130                       3.0064666 -0.59783700        2.833213   -14.548755
## 131                       2.2208309  0.00000000        2.708050   -18.863805
## 132                       1.6731213  0.64185389        2.890372   -15.523564
## 133                       2.1820549  0.47000363        3.218876   -12.721137
## 134                       2.7530556  0.64185389        3.091042   -11.075694
## 135                       1.6731213  0.18232156        2.995732   -14.696346
## 136                       2.3713615  0.26236426        2.890372   -15.904641
## 137                       0.7317775 -0.34249031        2.564949   -18.863805
## 139                       2.1820549 -0.12783337        2.564949   -15.523564
## 140                       1.8527528 -0.05129329        3.091042   -11.838035
## 141                       2.1820549 -0.16251893        2.995732   -14.849365
## 143                       1.8527528  0.74193734        2.890372   -15.173178
## 144                       1.8527528  0.33647224        2.639057   -15.344812
## 145                       0.7987698 -0.28768207        2.708050   -19.662161
## 146                       2.4798381  0.09531018        3.218876   -13.760451
## 147                       1.8527528 -0.04082199        3.332205   -11.564602
## 148                       3.4937139 -0.03045921        3.258097   -13.881545
## 149                       1.2740115 -0.44628710        2.639057   -19.662161
## 152                       2.4798381  0.53062825        3.583519   -10.455704
## 153                       2.1820549  0.64185389        3.258097   -12.212827
## 154                       1.2740115  0.00000000        2.944439   -18.173167
## 155                       1.6731213 -0.05129329        2.639057   -14.268559
## 156                       1.6731213 -0.26136476        3.044522   -16.321511
## 157                       2.0219013 -0.19845094        2.772589   -16.780588
## 158                       1.4810717 -0.94160854        2.833213   -15.173178
## 159                       1.8813120 -0.11653382        2.484907   -18.863805
## 160                       2.0627326  0.09531018        3.583519   -15.008176
## 161                       2.3713615  0.69314718        2.833213   -14.006447
## 162                       1.9805094 -0.35667494        3.044522   -15.344812
## 163                       1.9805094 -0.56211892        2.639057   -18.506668
## 165                       1.4308338 -0.73396918        2.833213   -16.545310
## 166                       0.9269604 -0.63487827        2.995732   -15.344812
## 167                       2.5152196 -0.17435339        3.332205   -16.780588
## 168                       2.0627326 -0.19845094        3.178054   -18.173167
## 169                       1.8527528 -0.15082289        2.639057   -17.860668
## 170                       1.4308338  0.18232156        2.772589   -14.849365
## 171                       1.9805094 -0.02020271        3.135494   -13.760451
## 172                       1.6731213 -0.10536052        2.772589   -18.863805
## 174                       2.3713615  0.69314718        2.772589   -10.317725
## 175                       2.0219013  0.91629073        2.995732   -13.205557
## 176                       2.6867663 -1.23787436        2.639057   -15.523564
## 177                       1.5303762 -0.05129329        2.708050   -16.780588
## 178                       1.9805094 -0.43078292        2.174752   -20.111728
## 179                       2.4798381  0.58778666        2.995732   -12.721137
## 180                       3.0064666  0.40546511        2.995732   -16.545310
## 181                       1.7643559 -0.28768207        2.219203   -18.863805
## 182                       1.6731213 -0.51082562        2.833213   -18.863805
## 183                       1.8527528 -0.52763274        2.639057   -17.860668
## 184                       2.1820549 -0.43078292        2.944439   -15.709974
## 185                       2.3713615 -0.17435339        2.833213   -15.904641
## 186                       1.4308338  0.00000000        2.772589   -18.506668
## 189                       1.4308338 -0.28768207        2.833213   -18.173167
## 190                       1.9805094  0.09531018        2.944439   -15.008176
## 191                       1.9805094 -0.30110509        2.890372   -17.028429
## 192                       1.9805094 -0.06187540        3.295837   -16.108237
## 193                       2.3713615  0.40546511        3.332205   -16.545310
## 194                       1.9805094 -0.57981850        2.833213   -15.523564
## 195                       1.2740115 -0.35667494        3.295837   -16.545310
## 197                       2.1820549 -0.17435339        3.178054   -11.075694
## 198                       0.9269604  0.00000000        2.708050   -17.290073
## 200                       2.0219013 -0.11653382        3.295837   -15.523564
## 201                       2.3713615  0.00000000        2.772589   -14.696346
## 202                       0.7987698 -0.52763274        2.639057   -19.662161
## 205                       1.8527528  0.09531018        3.258097   -18.173167
## 208                       1.9805094 -0.40047757        3.044522   -15.344812
## 210                       1.8527528  0.26236426        3.135494   -11.698625
## 212                       1.9805094 -0.57981850        2.890372   -18.173167
## 213                       1.4308338  0.09531018        3.044522   -15.173178
## 214                       1.2740115  0.26236426        2.708050   -17.290073
## 215                       1.2740115 -0.57981850        2.772589   -16.545310
## 216                       2.3713615  0.00000000        2.484907   -15.523564
## 218                       2.9757467  0.47000363        2.995732   -13.642963
## 219                       1.9805094 -0.04082199        2.564949   -18.173167
## 220                       2.3713615 -0.02020271        2.772589   -19.247713
## 223                       1.6731213  0.18232156        2.944439   -15.904641
## 224                       1.2740115  0.09531018        2.772589   -18.173167
## 225                       1.2740115 -0.37106368        3.044522   -18.173167
## 226                       2.6867663 -1.10866262        2.944439   -16.321511
## 227                       2.2969819  0.35333823        3.044522   -14.006447
## 228                       0.7987698 -0.46203546        2.484907   -18.863805
## 229                       1.4308338  0.26236426        2.484907   -17.566939
## 230                       1.8527528 -0.03045921        2.708050   -13.103567
## 231                       1.8527528 -0.07257069        2.944439   -14.406260
## 232                       2.6867663 -0.16251893        2.944439   -12.813142
## 233                       1.9805094 -0.13926207        2.564949   -15.904641
## 234                       1.4308338  0.26236426        2.890372   -13.310348
## 236                       1.4308338 -1.04982212        2.772589   -18.863805
## 237                       2.6867663  0.33647224        2.995732   -16.108237
## 239                       0.7987698 -0.17435339        1.960095   -20.602047
## 240                       0.7987698 -0.11653382        2.564949   -14.548755
## 241                       1.8527528 -0.44628710        2.890372   -16.108237
## 242                       2.2208309  0.99325177        3.044522   -14.006447
## 243                       2.6867663 -0.08338161        2.564949   -14.696346
## 244                       2.3713615  0.09531018        2.772589   -17.028429
## 245                       1.5303762 -1.17118298        1.871802   -20.602047
## 246                       1.6731213  0.58778666        2.833213   -15.173178
## 247                       1.5303762 -0.51082562        2.484907   -19.247713
## 249                       2.1820549 -0.37106368        3.178054   -15.904641
## 250                       2.0627326  0.18232156        2.772589   -16.321511
## 251                       2.1820549 -0.19845094        2.708050   -17.566939
## 253                       2.8501989  0.33647224        2.890372   -14.406260
## 254                       2.2969819  0.26236426        3.295837   -15.904641
## 255                       2.3713615  0.40546511        3.091042   -14.135373
## 256                       1.9805094 -0.18632958        2.708050   -19.662161
## 257                       1.5303762 -0.30110509        2.484907   -20.602047
## 258                       2.3713615  0.58778666        2.772589   -16.545310
## 260                       2.3713615  0.40546511        2.995732   -15.709974
## 261                       1.5303762 -0.23572233        2.397895   -20.111728
## 262                       1.9805094 -0.47803580        2.564949   -17.566939
## 263                       2.3713615 -0.44628710        3.178054   -12.458129
## 264                       2.3713615  0.26236426        3.178054   -13.310348
## 265                       2.3713615 -0.06187540        2.995732   -14.849365
## 267                       2.1820549 -0.23572233        3.496508   -14.849365
## 268                       1.9805094  0.83290912        2.944439   -12.458129
## 269                       0.7987698 -0.13926207        2.639057   -18.173167
## 270                       1.5303762  0.83290912        2.708050   -14.696346
## 271                       1.9805094  0.87546874        2.944439   -13.760451
## 272                       2.3713615  0.09531018        2.833213   -14.006447
## 273                       2.6867663 -0.07257069        3.135494   -14.135373
## 274                       1.5303762 -0.47803580        2.890372   -15.173178
## 275                       1.6731213 -0.67334455        3.044522   -14.268559
## 277                       1.4308338  0.53062825        2.772589   -13.642963
## 278                       1.2740115 -0.54472718        2.890372   -14.548755
## 279                       0.9884391 -0.19845094        2.833213   -16.545310
## 281                       1.8527528  0.00000000        2.995732   -16.780588
## 282                       2.3713615  0.26236426        2.995732   -16.545310
## 283                       4.0237466 -0.16251893        3.401197   -13.418078
## 287                       1.2740115 -0.61618614        2.944439   -17.860668
## 289                       1.2740115 -0.35667494        2.484907   -18.506668
## 290                       1.0483341  0.00000000        2.397895   -18.863805
## 291                       1.8527528  0.18232156        2.708050   -13.760451
## 292                       2.2969819 -0.04082199        3.295837   -15.709974
## 294                       1.6731213 -0.40047757        2.639057   -17.566939
## 297                       2.1820549 -1.17118298        2.944439   -18.506668
## 298                       1.6731213  0.09531018        2.708050   -18.506668
## 299                       1.8527528 -0.19845094        3.044522   -14.006447
## 301                       2.3713615 -0.35667494        2.639057   -17.860668
## 302                       0.7987698 -0.18632958        2.230014   -17.860668
## 303                       1.9805094  0.53062825        2.772589   -15.709974
## 304                       1.9805094 -1.04982212        2.995732   -17.290073
## 305                       1.9805094 -0.03045921        3.401197   -14.548755
## 306                       2.2969819  0.33647224        2.833213   -14.406260
## 307                       2.0219013  0.87546874        3.044522   -14.696346
## 308                       1.2740115  0.33647224        3.091042   -11.435607
## 311                       2.6867663 -0.09431068        2.639057   -16.780588
## 312                       2.3713615 -0.06187540        3.044522   -15.173178
## 313                       2.6867663 -0.28768207        2.890372   -17.028429
## 314                       1.5303762 -0.71334989        2.833213   -18.173167
## 315                       1.6731213  0.09531018        3.044522   -12.292758
## 316                       1.6731213 -0.40047757        2.833213   -14.696346
## 317                       1.2740115 -0.63487827        2.995732   -18.173167
## 320                       2.0627326  0.40546511        2.833213   -13.881545
## 321                       1.2740115  0.09531018        2.397895   -16.321511
## 322                       2.6867663  0.69314718        3.332205   -14.548755
## 323                       2.3713615  0.09531018        2.995732   -13.103567
## 324                       1.6731213 -0.37106368        2.890372   -15.709974
## 325                       2.9757467 -0.23572233        2.995732   -13.642963
## 326                       2.5152196 -0.46203546        2.772589   -17.860668
## 327                       2.7530556 -0.37106368        3.135494   -11.133063
## 329                       1.9805094 -0.49429632        3.091042   -17.028429
## 330                       1.8527528  0.26236426        2.639057   -12.543721
## 331                       2.3713615  0.09531018        2.564949   -16.780588
## 332                       2.6867663  0.26236426        2.833213   -12.458129
## 333                       2.6867663  0.18232156        3.465736   -14.696346
##     Cortisol Creatine_Kinase_MB Cystatin_C Eotaxin_3         FAS Fas_Ligand
## 1       10.0          -1.710172   9.041922        53 -0.08338161  3.1014922
## 2       12.0          -1.751002   9.067624        62 -0.52763274  2.9788133
## 3       10.0          -1.383559   8.954157        62 -0.63487827  1.3600098
## 5       11.0          -1.625834   8.977146        64 -0.12783337  4.0372847
## 6       13.0          -1.671366   7.835975        57 -0.32850407  2.4071818
## 7        4.9          -1.739232   8.740337        64 -0.71334989  3.1014922
## 8       13.0          -1.571048   7.736307        64 -0.71334989  1.8664764
## 9       12.0          -1.671366   8.357024        64 -0.82098055  3.5787773
## 11       6.8          -1.751002   8.375630        82 -0.02020271  3.9808937
## 12      12.0          -1.671366   8.061487        73 -0.71334989  2.6654557
## 14      15.0          -1.683772   8.692826        67 -0.44628710  3.8673473
## 16      12.0          -1.671366   8.326033        69 -0.41551544  3.5787773
## 17      12.0          -1.871938   8.055158        76 -0.02020271  2.4071818
## 18       0.1          -1.780911   8.373323        33 -0.82098055  2.7919923
## 19      10.0          -1.647864   7.615791        54 -0.47803580  3.2828922
## 20      18.0          -1.518336   8.696176        77 -0.63487827  1.0522633
## 21      26.0          -1.671366   7.944492        64 -0.07257069  4.4253224
## 22      14.0          -1.647864   8.972083        73 -0.30110509  0.3794001
## 23      16.0          -1.590122   8.373323        30 -0.86750057  2.8546530
## 24       7.8          -1.751002   8.765615        82 -0.07257069  3.6950395
## 25       8.6          -1.724319   8.035926        82 -0.57981850  2.4071818
## 26      14.0          -1.724319   8.163371        70 -0.16251893  3.1014922
## 28       8.9          -1.755051   8.737132        76 -0.49429632  3.1014922
## 29      15.0          -1.647864   8.019613        34 -1.04982212  1.8664764
## 30       1.8          -1.710172   8.092545        43 -0.96758403  4.3156075
## 31      19.0          -1.653590   8.564077        64 -0.82098055  3.8673473
## 34      14.0          -1.625834   8.407378        44 -0.82098055  3.4613463
## 35      14.0          -1.625834   7.965546        44 -0.82098055  2.9788133
## 36       9.8          -1.671366   8.357024        64 -0.49429632  3.8673473
## 37      14.0          -1.780911   8.359369        70 -0.28768207  2.6015565
## 38       9.5          -1.585271   8.294050        34 -0.82098055  3.5787773
## 39      15.0          -1.683772   9.268609        62 -0.44628710  2.0050277
## 40      12.0          -1.590122   8.782630        62 -0.63487827  2.8546530
## 41      13.0          -1.671366   8.352319        54 -0.52763274  2.6654557
## 42      11.0          -1.724319   8.538955        92 -0.61618614  4.9086293
## 43      10.0          -1.710172   8.055158        43 -0.57981850  4.0372847
## 44       9.5          -1.590122   8.980927        72 -0.63487827  4.2049870
## 45      15.0          -1.780911   8.720950        82 -0.05129329  2.4071818
## 46      15.0          -1.590122   9.341369        72 -0.44628710  1.3600098
## 47      15.0          -1.868851   7.791523        64 -0.75502258  2.5372201
## 48      15.0          -1.780911   8.972083        96 -0.30110509  3.2828922
## 50       9.8          -1.671366   8.519191        73 -0.44628710  7.6327510
## 51      10.0          -1.571048   8.954157        54 -0.65392647  1.7253811
## 53      11.0          -1.518336   8.730690        52 -0.52763274  3.1014922
## 55      15.0          -1.590122   8.884610        30 -0.63487827  2.2752257
## 56      12.0          -1.696685   8.490849        54 -0.71334989  4.4253224
## 57      11.0          -1.571048   9.441452        49 -0.11653382  1.5084870
## 59      11.0          -1.671366   8.438150        64 -0.71334989  4.6958484
## 60       7.0          -1.653590   8.405144        53 -0.82098055  3.1014922
## 61      17.0          -1.710172   8.311398        43 -0.71334989  3.1014922
## 62       7.1          -1.653590   8.188689        33 -1.10866262  2.7919923
## 63      13.0          -1.724319   8.218787        64 -0.37106368  3.5787773
## 64      10.0          -1.671366   8.470102        54 -0.44628710  2.9788133
## 65      13.0          -1.590122   8.679312        52 -0.73396918  1.6538133
## 67      18.0          -1.868851   8.821732        54 -0.44628710  3.5787773
## 68      15.0          -1.647864   8.919988        64 -0.08338161  2.2084887
## 69       7.4          -1.653590   8.407378        43 -0.96758403  3.4613463
## 70      14.0          -1.755051   8.634087        70 -0.44628710  3.2227633
## 71      15.0          -1.683772   8.646466        52 -0.52763274  2.2752257
## 72      15.0          -1.751002   9.694000        83  0.09531018  2.6654557
## 73      11.0          -1.459630   9.230143        83 -0.15082289  4.8026281
## 74      13.0          -1.605032   7.992945        53 -0.89159812  3.1014922
## 75      16.0          -1.631218   8.398410        83 -0.52763274  2.2752257
## 76      12.0          -1.755051   8.929303        54 -0.31471074  2.6654557
## 77      17.0          -1.751002   8.843615        44 -0.47803580  2.2084887
## 78      11.0          -1.780911   8.811354        70  0.33647224  4.1493268
## 80      11.0          -1.605032   8.171882        53 -0.52763274  4.5882647
## 81      12.0          -1.780911   8.656955        44 -0.71334989  2.3414512
## 82      14.0          -1.871938   8.496990        70 -0.57981850  3.1014922
## 83      12.0          -1.441430   8.391630        44 -0.26136476  3.6950395
## 84      14.0          -1.671366   8.301522        69 -0.94160854  3.2828922
## 85      12.0          -1.671366   9.203316        44 -0.31471074  3.2828922
## 86      12.0          -1.724319   9.072227        78 -0.31471074  3.8673473
## 88      12.0          -1.710172   8.790269        64 -0.24846136  4.9613454
## 90       9.9          -1.571048   7.625595        39 -0.71334989  1.5084870
## 93      12.0          -1.830294   8.634087        64 -0.47803580  2.2084887
## 94      18.0          -1.724319   9.196241        83  0.09531018  3.2828922
## 95       5.9          -1.751002   8.064636        43 -0.82098055  3.4613463
## 96      11.0          -1.724319   8.625150        70 -0.32850407  2.7919923
## 97       8.2          -1.780911   8.681011        70 -0.57981850  3.4021763
## 98       8.3          -1.710172   8.229511        33 -1.51412773  1.7962595
## 99      15.0          -1.590122   9.065315        83 -0.63487827  0.7271504
## 100      6.5          -1.724319   9.061840        39 -0.71334989  2.3414512
## 103     16.0          -1.590122   9.546813        93 -0.35667494  2.0050277
## 104     14.0          -1.830294   9.220291        44 -0.71334989  3.4021763
## 105      9.0          -1.751002   9.375855        52 -0.52763274  1.0522633
## 107     10.0          -1.653590   8.877661        48 -0.52763274  1.4346609
## 108     13.0          -1.653590   8.895630        64 -0.61618614  2.7919923
## 109     14.0          -1.552786   8.612503        41 -0.94160854  2.2752257
## 110     11.0          -1.653590   8.194229        38 -1.02165125  3.2828922
## 111      9.1          -1.647864   8.767173        64 -0.34249031  1.8664764
## 112     13.0          -1.653590   8.987197        59 -0.18632958  3.4613463
## 113     13.0          -1.821115   8.448914        70 -0.02020271  4.5341630
## 114     13.0          -1.780911   8.032685        70 -0.69314718  2.7919923
## 115     29.0          -1.724319   8.237479        64 -0.71334989  3.8673473
## 117     13.0          -1.653590   8.706159        64 -0.52763274  3.4613463
## 118     11.0          -1.755051   8.616133        95 -0.26136476  3.6950395
## 121     18.0          -1.671366   8.839277        64 -0.56211892  2.3414512
## 123      9.5          -1.677510   8.151910        69 -1.10866262  3.4613463
## 124     13.0          -1.647864   8.767173        44 -1.04982212  2.5372201
## 126     10.0          -1.671366   8.737132        59 -0.61618614  4.1493268
## 128      8.9          -1.868851   8.724207        44 -0.31471074  3.2828922
## 129      8.4          -1.671366   8.122668        54 -1.07880966  3.5787773
## 130      4.0          -1.696685   8.294050        57 -0.07257069  3.4021763
## 131     10.0          -1.590122   8.722580        52 -0.57981850  0.7271504
## 132     12.0          -1.653590   8.649974        64 -0.71334989  2.7919923
## 133     13.0          -1.780911   8.416267        82 -0.32850407  3.5202111
## 134     12.0          -1.631218   8.669056        70  0.18232156  3.4021763
## 135      8.7          -1.710172   8.760923        64 -0.57981850  3.1014922
## 136     29.0          -1.647864   8.328451        64 -1.04982212  1.1306711
## 137      9.7          -1.747018   8.143227        41 -0.73396918  2.1412227
## 139     13.0          -1.671366   8.294050        57 -0.49429632  1.7253811
## 140     22.0          -1.871938   8.674197        70 -0.26136476  3.9808937
## 141     12.0          -1.871938   8.422883        70 -0.22314355  3.9808937
## 143      7.1          -1.653590   8.266164        64 -0.82098055  3.7527477
## 144     12.0          -1.751002   8.242756        64 -0.32850407  3.6950395
## 145      9.8          -1.710172   8.760923        33 -0.96758403  2.4724332
## 146     15.0          -1.631218   8.558335        88 -0.18632958  1.7253811
## 147     11.0          -1.755051   8.738735        70 -0.32850407  3.9808937
## 148      9.7          -1.571048   8.582981        73 -0.30110509  2.5372201
## 149      8.9          -1.518336   8.625150        52 -0.52763274  1.6538133
## 152     14.0          -1.724319   9.096051       107  0.09531018  5.7312462
## 153      8.8          -1.724319   8.474286        95 -0.18632958  2.7919923
## 154      8.9          -1.518336   8.759355        62 -0.73396918  0.7271504
## 155      8.1          -1.605032   8.509161        59 -0.96758403  4.0372847
## 156      9.0          -1.631218   9.002085        67 -0.63487827  2.8546530
## 157     11.0          -1.653590   8.887376        85 -0.52763274  2.3414512
## 158      7.0          -1.590122   8.865029        62 -0.73396918  1.0522633
## 159      9.3          -1.585271   7.933797        23 -0.71334989  4.1493268
## 160      8.5          -1.683772   9.341369        62 -0.28768207  4.0934276
## 161     13.0          -1.671366   8.887376        64 -0.31471074  4.9086293
## 162      9.1          -1.647864   8.930626        49 -0.30110509  3.6950395
## 163     11.0          -1.647864   8.501064        34 -1.27296568  1.5084870
## 165     14.0          -1.653590   8.677610        57 -0.75502258  4.8026281
## 166     13.0          -1.868851   8.649974        64 -0.94160854  2.6654557
## 167     10.0          -1.647864   9.694000        64 -0.18632958  4.2049870
## 168      7.7          -1.683772   8.894259        46 -0.28768207  2.8546530
## 169     12.0          -1.631218   8.174703        70 -0.32850407  2.7919923
## 170     14.0          -1.724319   7.922986        82 -0.32850407  3.1014922
## 171     13.0          -1.671366   9.014325        54 -0.44628710  3.8673473
## 172      8.5          -1.677510   8.692826        43 -0.71334989  3.1014922
## 174     12.0          -1.625834   8.684401        54 -0.24846136  4.1493268
## 175     18.0          -1.724319   8.503094        70 -0.26136476  2.2752257
## 176     17.0          -1.671366   8.511175        64 -0.37106368  3.2828922
## 177     12.0          -1.647864   8.776476        44 -0.57981850  1.1306711
## 178      8.3          -1.724319   8.154788        34 -0.94160854  3.5787773
## 179     13.0          -1.671366   8.188689        70 -0.02020271  3.6950395
## 180     16.0          -1.653590   8.357024        82 -0.12783337  4.8026281
## 181     11.0          -1.478464   8.347590        29 -0.57981850  1.5084870
## 182     11.0          -1.710172   8.837826        64 -0.44628710  2.4724332
## 183      6.5          -1.653590   8.048788        64 -0.96758403  3.2828922
## 184     14.0          -1.590122   8.692826        70  0.00000000  2.4071818
## 185     12.0          -1.585271   8.180321        59 -0.31471074  2.6654557
## 186     18.0          -1.724319   8.242756        45 -0.26136476  0.5565448
## 189     13.0          -1.653590   8.345218        33 -0.57981850  2.7919923
## 190     14.0          -1.647864   8.840725        54 -0.38566248  2.2084887
## 191      8.1          -1.647864   8.846497        44 -0.57981850  2.5372201
## 192     19.0          -1.441430   9.433484        54 -0.22314355  4.7493371
## 193     11.0          -1.671366   9.002085        73 -0.52763274  4.1493268
## 194      9.5          -1.647864   8.472196        44 -0.71334989  2.2084887
## 195     12.0          -1.751002   9.367344        67 -0.28768207  3.3426940
## 197     15.0          -1.780911   8.774931        82 -0.26136476  3.4021763
## 198      5.2          -1.518336   8.478452        44 -1.04982212  3.1014922
## 200     12.0          -1.653590   8.565983        43 -0.96758403  4.0372847
## 201     14.0          -1.605032   8.470102        44 -0.34249031  0.8103017
## 202     10.0          -1.710172   8.323608        48 -0.96758403  2.4724332
## 205     12.0          -1.751002   9.037177        77 -0.63487827  3.8673473
## 208     20.0          -1.571048   8.823206        44 -0.57981850  2.2084887
## 210     18.0          -1.780911   8.273847        76 -0.18632958  4.9613454
## 212     11.0          -1.780911   8.224164        44 -0.94160854  2.3414512
## 213     11.0          -1.590122   8.465900        70 -0.12783337  3.1014922
## 214      5.5          -1.459630   9.097172        41 -0.35667494  0.2880017
## 215     11.0          -1.653590   8.691146        43 -0.44628710  3.1014922
## 216     11.0          -1.647864   8.064636        44 -0.47803580  2.5372201
## 218     14.0          -1.543930   8.283999        54 -0.26136476  3.6950395
## 219     14.0          -1.671366   8.308938        44 -1.07880966  2.3414512
## 220     11.0          -1.671366   8.492900        44 -0.71334989  2.0050277
## 223     12.0          -1.605032   8.558335        43 -0.61618614  2.7919923
## 224     11.0          -1.710172   8.874868        43 -0.96758403  2.1412227
## 225     13.0          -1.653590   9.031214        53 -0.37106368  4.0372847
## 226     17.0          -1.647864   9.277999        83 -0.15082289  2.2084887
## 227      4.8          -1.780911   8.488794        74 -0.44628710  4.5882647
## 228     15.0          -1.653590   8.474286        33 -0.96758403  3.7527477
## 229     11.0          -1.780911   8.207947        45 -0.57981850  2.4071818
## 230      9.4          -1.871938   8.480529        70 -0.02020271  2.7919923
## 231     11.0          -1.590122   8.407378        57 -0.26136476  3.4021763
## 232     14.0          -1.571048   8.785692        54 -0.86750057  0.8103017
## 233      9.0          -1.751002   7.989560        34 -1.04982212  1.5084870
## 234      9.8          -1.448638   8.420682        70 -0.40047757  2.4071818
## 236      8.1          -1.724319   8.318742        57 -0.40047757  3.4021763
## 237     16.0          -1.724319   8.765615        44 -0.61618614  2.6654557
## 239     13.0          -1.605032   7.714231        33 -0.96758403  2.4724332
## 240     11.0          -1.557281   8.345218        43 -0.96758403  3.7527477
## 241     15.0          -1.780911   8.361708        45 -0.40047757  3.4021763
## 242     13.0          -1.518336   8.306472        72 -0.67334455  2.8546530
## 243      9.1          -1.625834   8.177516        44 -0.82098055  2.3414512
## 244     15.0          -1.671366   8.433812        64 -0.71334989  2.3414512
## 245     12.0          -1.571048   7.432484        23 -0.47803580  1.5084870
## 246     11.0          -1.710172   8.499029        64 -0.49429632  2.4724332
## 247     12.0          -1.751002   8.405144        39 -0.65392647  3.4021763
## 249     17.0          -1.724319   9.341369        82 -0.05129329  3.4021763
## 250     12.0          -1.518336   8.812843        72 -0.52763274  1.8664764
## 251     12.0          -1.625834   8.743532        54 -1.07880966  2.2084887
## 253     13.0          -1.724319   8.546752        64 -0.52763274  2.8546530
## 254     10.0          -1.710172   9.016756        80 -0.03045921  5.7312462
## 255     22.0          -1.671366   8.706159        73 -0.52763274  2.9788133
## 256     10.0          -1.724319   8.550628        34 -1.07880966  2.0050277
## 257     10.0          -1.625834   8.131531        44 -0.82098055  3.2828922
## 258     13.0          -1.590122   9.187072        72 -0.35667494  2.5372201
## 260     13.0          -1.830294   9.014325        64 -0.30110509  2.2084887
## 261     12.0          -1.647864   7.955074         7 -1.07880966  4.1493268
## 262      9.9          -1.571048   8.328451        39 -0.86750057  3.4021763
## 263     14.0          -1.830294   8.905173        64 -0.30110509  2.2084887
## 264     11.0          -1.724319   8.371011        69 -0.52763274  3.5787773
## 265     18.0          -1.830294   8.896999        54 -0.57981850  2.3414512
## 267     14.0          -1.751002   8.999619        70 -0.02020271  3.9808937
## 268     12.0          -1.571048   8.767173        44 -0.57981850  4.2049870
## 269      7.8          -1.653590   8.391630        33 -0.71334989  2.4724332
## 270     11.0          -1.647864   9.546813        49 -0.22314355  3.9808937
## 271     15.0          -1.571048   9.077951        64 -0.30110509  3.2828922
## 272     17.0          -1.647864   8.773385        49 -0.57981850  2.2084887
## 273     16.0          -1.647864   9.143132        78 -0.22314355  3.4021763
## 274      9.0          -1.647864   8.400659        39 -0.47803580  2.5372201
## 275     11.0          -1.780911   8.496990        53 -0.61618614  2.1412227
## 277      9.7          -1.696685   8.304000        33 -0.32850407  3.4021763
## 278      6.9          -1.710172   8.787220        53 -0.96758403  4.5882647
## 279     14.0          -1.780911   8.271293        51 -0.40047757  2.0734090
## 281     13.0          -1.631218   8.444622        82 -0.07257069  3.4021763
## 282     11.0          -1.518336   8.308938        72 -0.52763274  0.2880017
## 283     22.0          -1.571048   9.268609        92 -0.38566248  4.2049870
## 287     12.0          -1.683772   8.794825        52 -0.63487827  1.6538133
## 289     11.0          -1.605032   8.098643        33 -0.96758403  4.5882647
## 290     15.0          -1.590122   8.478452        46 -0.63487827  0.2880017
## 291     20.0          -1.871938   8.380227        57  0.00000000  2.4071818
## 292     10.0          -1.710172   8.771835        74 -0.37106368  4.0372847
## 294      0.1          -1.557281   7.749322        43 -0.82098055  2.4724332
## 297      7.6          -1.671366   8.283999        54 -0.94160854  2.9788133
## 298     12.0          -1.751002   8.396155        62 -0.94160854  1.3600098
## 299     12.0          -1.780911   8.610684        82 -0.40047757  3.9808937
## 301      3.4          -1.671366   8.125631        54 -0.94160854  4.9086293
## 302      8.6          -1.653590   7.926603        33 -0.96758403  2.7919923
## 303     13.0          -1.830294   8.472196        54 -0.38566248  2.2084887
## 304     18.0          -1.780911   9.143132        59 -0.31471074  3.2828922
## 305     18.0          -1.647864   9.072227        73 -0.30110509  3.1014922
## 306     17.0          -1.653590   9.124782        74 -0.24846136  3.1014922
## 307     12.0          -1.710172   8.829080        64 -0.37106368  4.5882647
## 308     14.0          -1.653590   8.648221        33 -0.96758403  4.0372847
## 311      9.0          -1.724319   8.371011        54 -0.71334989  3.5787773
## 312     15.0          -1.724319   8.874868        64 -0.52763274  2.6654557
## 313      9.1          -1.571048   8.582981        54 -0.71334989  2.2084887
## 314     10.0          -1.518336   8.662159        44 -0.38566248  3.1014922
## 315     14.0          -1.710172   8.525161        48 -0.61618614  3.7527477
## 316     12.0          -1.590122   8.820256        41 -0.57981850  0.2880017
## 317      7.4          -1.751002   8.984694        62 -0.52763274  2.8546530
## 320      6.4          -1.459630   8.470102        62 -0.44628710  3.6370513
## 321      4.3          -1.590122   7.926603        52 -0.86750057  1.3600098
## 322     14.0          -1.724319   8.722580        64 -0.41551544  4.9086293
## 323      9.9          -1.830294   9.287301        54 -0.15082289  2.8546530
## 324      9.5          -1.780911   8.398410        43 -0.71334989  4.0372847
## 325     20.0          -1.571048   8.672486        54 -0.47803580  2.5372201
## 326     12.0          -1.518336   8.470102        44 -0.71334989  3.6950395
## 327      0.1          -1.871938   8.621553        82 -0.02020271  2.7919923
## 329      7.1          -1.868851   8.588583        44 -0.61618614  3.5787773
## 330     11.0          -1.780911   7.979339        70 -0.26136476  2.7919923
## 331     14.0          -1.605032   8.149024        49 -0.71334989 -0.1536154
## 332     11.0          -1.571048   8.276395        54 -0.57981850  3.1014922
## 333      7.2          -1.647864   9.694000        69 -0.08338161  3.6950395
##     Fatty_Acid_Binding_Protein  Fetuin_A Fibrinogen GRO_alpha
## 1                   2.52087117 1.2809338  -7.035589  1.381830
## 2                   2.24779664 1.1939225  -8.047190  1.372438
## 3                   0.90630094 1.4109870  -7.195437  1.412679
## 5                   2.63458831 2.1517622  -6.980326  1.398431
## 6                   0.62373057 1.4816045  -6.437752  1.398431
## 7                   1.59753955 1.1314021  -7.621105  1.338425
## 8                   0.74349177 1.6677068  -6.502290  1.350892
## 9                   0.34805188 1.0647107  -7.902008  1.381830
## 11                  0.62373057 1.4350845  -7.523941  1.412679
## 12                  0.55980793 1.4109870  -7.278819  1.398431
## 14                  1.53020362 1.3862944  -6.991137  1.440955
## 16                  2.65289688 1.4816045  -7.222466  1.412679
## 17                  0.49280272 1.7578579  -6.319969  1.419083
## 18                  1.05291638 0.8754687  -7.402052  1.324552
## 19                  0.26936976 1.3350011  -6.959049  1.405814
## 20                  1.49546653 1.5260563  -5.843045  1.430692
## 21                  1.14329840 1.3350011  -7.182192  1.398431
## 22                  2.20192082 0.8754687  -7.385791  1.405814
## 23                  1.05291638 1.0986123  -7.641724  1.338425
## 24                  0.90630094 1.1631508  -7.600902  1.372438
## 25                  0.49280272 1.0986123  -7.435388  1.308996
## 26                  1.89864831 1.0986123  -7.452482  1.381830
## 28                  2.31450540 1.3083328  -7.323271  1.350892
## 29                  0.62373057 1.0986123  -7.875339  1.338425
## 30                  0.26936976 0.9162907  -7.875339  1.398431
## 31                  1.78455817 1.5040774  -6.645391  1.381830
## 34                  1.09877705 1.5686159  -6.969631  1.458333
## 35                  0.79981129 1.7749524  -7.236259  1.362172
## 36                  1.45997005 1.8562980  -6.571283  1.445658
## 37                  2.35766182 1.0986123  -7.505592  1.398431
## 38                  1.26963623 1.0296194  -7.561682  1.398431
## 39                  2.29253952 0.9932518  -8.111728  1.291400
## 40                  1.56421694 1.4350845  -7.824046  1.430692
## 41                  1.42367579 2.0541237  -6.377127  1.398431
## 42                  1.42367579 1.3609766  -7.487574  1.398431
## 43                  0.90630094 1.3083328  -7.143478  1.362172
## 44                  2.15484541 1.4816045  -6.812445  1.362172
## 45                  2.87633811 1.6486586  -6.571283  1.425073
## 46                  2.24779664 0.6418539  -8.180721  1.372438
## 47                  0.49280272 1.4109870  -7.505592  1.405814
## 48                  1.95297508 0.7884574  -8.111728  1.405814
## 50                  2.03141194 1.2237754  -7.354042  1.435976
## 51                  2.08182149 1.2809338  -7.278819  1.338425
## 53                  1.18656534 1.2809338  -6.907755  1.390462
## 55                  1.45997005 1.1314021  -7.641724  1.372438
## 56                  1.78455817 1.8405496  -7.208860  1.390462
## 57                  1.89864831 1.2527630  -7.264430  1.338425
## 59                  2.08182149 1.6094379  -7.082109  1.430692
## 60                 -0.06149412 0.9932518  -6.812445  1.381830
## 61                  0.74349177 1.2237754  -7.013116  1.362172
## 62                 -0.81662520 0.9555114  -7.662778  1.324552
## 63                  1.69366072 1.3350011  -7.250246  1.390462
## 64                  1.59753955 1.8870696  -7.195437  1.430692
## 65                  1.56421694 0.4700036  -8.254829  1.372438
## 67                  1.05291638 1.0296194  -7.523941  1.390462
## 68                  1.26963623 1.5040774  -7.278819  1.308996
## 69                  0.79981129 1.3609766  -7.957577  1.308996
## 70                  1.38654222 0.9162907  -7.957577  1.381830
## 71                  1.72450839 1.4816045  -7.505592  1.350892
## 72                  2.31450540 1.9169226  -6.505132  1.372438
## 73                  2.31450540 1.3609766  -7.354042  1.338425
## 74                 -0.41274719 1.5260563  -7.143478  1.362172
## 75                  1.30957344 1.7227666  -6.437752  1.430692
## 76                  2.92446596 1.4586150  -7.130899  1.430692
## 77                  2.03141194 1.4109870  -6.319969  1.462144
## 78                  3.21875915 1.4816045  -6.502290  1.445658
## 80                  1.18656534 1.2237754  -6.917806  1.338425
## 81                  1.09877705 1.3350011  -7.902008  1.419083
## 82                  1.38654222 1.3350011  -7.338538  1.350892
## 83                  0.95678949 1.4586150  -8.804875  1.372438
## 84                  1.14329840 1.4816045  -7.250246  1.435976
## 85                  0.49280272 1.7917595  -7.182192  1.362172
## 86                  2.17853747 2.1162555  -6.214608  1.435976
## 88                  2.08182149 1.4816045  -6.917806  1.430692
## 90                 -1.04412698 0.5877867  -8.873868  1.350892
## 93                  1.56421694 1.4350845  -6.959049  1.372438
## 94                  3.70550563 2.1860513  -6.502290  1.475713
## 95                  0.55980793 1.2809338  -7.469874  1.405814
## 96                  1.09877705 0.8329091  -7.986565  1.381830
## 97                  1.72450839 0.9555114  -7.875339  1.381830
## 98                  0.42235886 1.0296194  -8.468403  1.324552
## 99                  2.39982883 1.0647107  -6.812445  1.405814
## 100                 1.45997005 1.3609766  -7.751725  1.362172
## 103                 3.21875915 1.3083328  -7.799353  1.405814
## 104                 1.56421694 1.1939225  -7.323271  1.372438
## 105                 1.66223369 1.1314021  -7.706263  1.372438
## 107                 1.87083027 1.2237754  -7.208860  1.398431
## 108                 1.38654222 2.0014800  -7.070274  1.338425
## 109                 0.68487244 0.6418539  -8.517193  1.350892
## 110                 0.79981129 0.7419373  -8.334872  1.435976
## 111                 1.63020224 1.1314021  -7.293418  1.350892
## 112                 2.86003086 1.8870696  -6.214608  1.425073
## 113                 1.95297508 2.1041342  -5.991465  1.390462
## 114                 0.34805188 1.0647107  -7.035589  1.381830
## 115                 0.49280272 1.8870696  -6.437752  1.450108
## 117                 1.75480019 1.2527630  -7.452482  1.398431
## 118                 2.52087117 1.2237754  -7.452482  1.435976
## 121                 2.54030520 1.7227666  -7.250246  1.398431
## 123                -0.01004024 0.9162907  -8.334872  1.350892
## 124                 0.26936976 1.7404662  -7.182192  1.338425
## 126                 1.42367579 1.1631508  -7.195437  1.381830
## 128                 0.55980793 1.9878743  -6.725434  1.454327
## 129                 0.00000000 1.2527630  -7.600902  1.338425
## 130                 1.26963623 1.6292405  -6.571283  1.372438
## 131                 1.30957344 1.1314021  -7.418581  1.372438
## 132                 1.69366072 1.5892352  -7.143478  1.362172
## 133                 1.05291638 1.8082888  -5.914504  1.271288
## 134                 0.68487244 1.6094379  -6.812445  1.398431
## 135                 2.15484541 1.5686159  -7.250246  1.308996
## 136                 1.09877705 1.2809338  -6.907755  1.412679
## 137                 0.79981129 0.9555114  -7.902008  1.381830
## 139                 0.90630094 1.0647107  -7.662778  1.338425
## 140                 1.56421694 1.2809338  -7.250246  1.398431
## 141                 1.49546653 1.7227666  -6.437752  1.419083
## 143                 0.85402456 1.2527630  -7.561682  1.350892
## 144                 1.49546653 1.2809338  -7.070274  1.372438
## 145                 0.79981129 1.0647107  -8.180721  1.350892
## 146                 1.66223369 1.8718022  -6.725434  1.381830
## 147                 1.63020224 1.4816045  -7.024289  1.412679
## 148                 1.14329840 2.0281482  -6.907755  1.425073
## 149                 0.90630094 0.9162907  -7.875339  1.381830
## 152                 2.46133172 1.8245493  -6.571283  1.494568
## 153                 1.42367579 1.9459101  -8.111728  1.372438
## 154                 1.38654222 0.7419373  -7.542634  1.308996
## 155                 1.22865470 1.1939225  -7.986565  1.372438
## 156                 1.81380304 1.6486586  -6.991137  1.390462
## 157                 2.17853747 0.8754687  -7.957577  1.324552
## 158                 1.14329840 1.0647107  -7.799353  1.350892
## 159                 0.62373057 0.9555114  -6.917806  1.450108
## 160                 2.13083532 1.0647107  -7.452482  1.350892
## 161                 0.09622438 1.5892352  -7.706263  1.419083
## 162                 2.13083532 0.6931472  -7.751725  1.405814
## 163                 0.62373057 0.8754687  -7.561682  1.390462
## 165                 2.33621055 0.9555114  -7.402052  1.390462
## 166                 0.95678949 0.9555114  -7.728736  1.350892
## 167                 2.10649743 0.9162907  -7.875339  1.372438
## 168                 1.38654222 1.3609766  -7.418581  1.350892
## 169                 0.95678949 1.2527630  -7.182192  1.324552
## 170                 0.68487244 1.5475625  -7.013116  1.372438
## 171                 1.53020362 1.8405496  -7.323271  1.381830
## 172                 0.79981129 1.2809338  -7.323271  1.381830
## 174                 1.26963623 2.1400662  -8.421883  1.412679
## 175                 2.54030520 1.6094379  -5.914504  1.435976
## 176                 0.95678949 1.4350845  -8.873868  1.419083
## 177                 2.03141194 1.1314021  -8.016418  1.338425
## 178                 0.26936976 1.0986123  -7.799353  1.412679
## 179                 0.09622438 2.1633230  -7.323271  1.398431
## 180                 1.89864831 1.2527630  -7.369791  1.398431
## 181                 1.00562217 1.0647107  -8.254829  1.291400
## 182                 0.42235886 0.9555114  -7.435388  1.324552
## 183                 1.14329840 1.7227666  -6.645391  1.372438
## 184                 0.68487244 1.0986123  -7.561682  1.372438
## 185                 1.89864831 1.8562980  -6.812445  1.435976
## 186                 1.42367579 1.2527630  -7.208860  1.308996
## 189                 0.62373057 0.5306283  -7.487574  1.338425
## 190                 1.49546653 1.1631508  -7.293418  1.291400
## 191                 1.69366072 1.2809338  -7.338538  1.308996
## 192                 2.57858283 1.4586150  -7.684284  1.425073
## 193                 1.78455817 1.4350845  -7.278819  1.405814
## 194                 0.26936976 1.5686159  -7.469874  1.308996
## 195                 2.50123416 1.2237754  -7.523941  1.412679
## 197                 1.59753955 1.5040774  -7.118476  1.405814
## 198                 0.79981129 1.1631508  -7.418581  1.350892
## 200                 1.18656534 0.9555114  -7.662778  1.372438
## 201                 0.79981129 1.3609766  -7.561682  1.381830
## 202                 0.62373057 0.8754687  -8.294050  1.308996
## 205                 1.97951393 1.2809338  -7.487574  1.390462
## 208                 1.05291638 1.9600948  -6.948577  1.291400
## 210                 1.97951393 1.3350011  -7.106206  1.398431
## 212                 1.84255429 1.3350011  -7.621105  1.390462
## 213                 2.08182149 1.6486586  -6.812445  1.405814
## 214                 2.24779664 1.4109870  -7.013116  1.462144
## 215                 1.59753955 0.7884574  -7.824046  1.324552
## 216                 0.95678949 1.5686159  -6.119298  1.425073
## 218                -0.12621307 1.7227666  -6.571283  1.398431
## 219                 0.55980793 1.2809338  -7.684284  1.412679
## 220                 0.85402456 0.9555114  -7.849364  1.390462
## 223                 1.84255429 1.7578579  -6.917806  1.338425
## 224                 1.26963623 1.2527630  -7.264430  1.308996
## 225                 3.07697133 0.8754687  -7.418581  1.372438
## 226                 2.31450540 1.2237754  -7.024289  1.398431
## 227                 1.78455817 2.2512918  -6.214608  1.398431
## 228                 0.49280272 0.7419373  -7.070274  1.362172
## 229                 1.18656534 1.3350011  -7.621105  1.381830
## 230                 1.63020224 1.5260563  -7.293418  1.390462
## 231                 1.09877705 1.1939225  -6.907755  1.381830
## 232                 1.00562217 1.5040774  -7.143478  1.362172
## 233                 0.85402456 1.2237754  -7.469874  1.398431
## 234                 2.08182149 1.4586150  -7.250246  1.271288
## 236                -0.17134851 0.9932518  -7.621105  1.324552
## 237                 1.00562217 2.0281482  -7.182192  1.390462
## 239                 0.09622438 0.6418539  -8.217089  1.271288
## 240                 0.85402456 0.9162907  -8.145630  1.324552
## 241                 1.53020362 1.7578579  -8.047190  1.338425
## 242                 0.85402456 1.9399676  -7.600902  1.372438
## 243                 0.26936976 1.6292405  -6.938214  1.362172
## 244                 2.17853747 1.3862944  -7.799353  1.435976
## 245                -0.10425819 0.7419373  -8.740337  1.390462
## 246                 1.34852439 1.9459101  -7.208860  1.362172
## 247                 0.90630094 0.6931472  -8.180721  1.398431
## 249                 3.21875915 1.0296194  -7.581100  1.398431
## 250                 1.38654222 1.3083328  -7.600902  1.381830
## 251                 0.85402456 1.1631508  -7.775256  1.362172
## 253                 1.45997005 1.5260563  -6.502290  1.405814
## 254                 3.07697133 1.9315214  -7.250246  1.398431
## 255                 1.87083027 1.6094379  -8.740337  1.405814
## 256                 1.00562217 0.7884574  -8.334872  1.324552
## 257                -0.05103109 0.9162907  -7.775256  1.362172
## 258                 2.70679585 1.7578579  -6.948577  1.390462
## 260                 1.30957344 1.5686159  -6.938214  1.440955
## 261                 0.26936976 0.9555114  -8.111728  1.398431
## 262                 0.09622438 1.2527630  -7.308233  1.390462
## 263                 1.78455817 1.7227666  -7.561682  1.372438
## 264                 1.66223369 1.9315214  -6.502290  1.350892
## 265                 1.00562217 1.3609766  -7.775256  1.350892
## 267                 2.27030576 1.3609766  -7.047017  1.390462
## 268                 1.87083027 1.4109870  -7.600902  1.362172
## 269                 0.62373057 0.9162907  -7.875339  1.324552
## 270                 2.13083532 0.9932518  -7.662778  1.440955
## 271                 1.84255429 1.5686159  -6.959049  1.398431
## 272                 1.09877705 1.6094379  -7.824046  1.350892
## 273                 1.92602476 1.2237754  -7.222466  1.350892
## 274                 1.09877705 1.2237754  -7.505592  1.398431
## 275                 1.66223369 1.6292405  -8.047190  1.338425
## 277                 0.95678949 1.7227666  -6.725434  1.405814
## 278                 1.53020362 1.0647107  -6.725434  1.324552
## 279                 0.62373057 1.2527630  -7.706263  1.381830
## 281                 2.15484541 1.2809338  -6.571283  1.398431
## 282                 1.72450839 1.6094379  -8.740337  1.419083
## 283                 1.87083027 1.6094379  -6.725434  1.435976
## 287                 1.45997005 1.0647107  -7.775256  1.372438
## 289                 0.42235886 1.0296194  -7.542634  1.338425
## 290                 1.34852439 0.8329091  -7.824046  1.445658
## 291                 1.59753955 1.2809338  -7.058578  1.475713
## 292                 2.00565516 1.6292405  -7.236259  1.350892
## 294                 0.42235886 1.2237754  -7.662778  1.308996
## 297                 0.74349177 1.2237754  -8.016418  1.350892
## 298                 1.22865470 1.4350845  -7.082109  1.291400
## 299                 2.24779664 1.1314021  -7.581100  1.372438
## 301                 0.79981129 1.1314021  -8.047190  1.362172
## 302                -0.06149412 1.2527630  -7.469874  1.271288
## 303                 1.09877705 1.6677068  -7.156217  1.308996
## 304                 2.74190799 0.9555114  -7.728736  1.445658
## 305                 0.55980793 1.2809338  -6.980326  1.390462
## 306                 2.10649743 1.8082888  -7.106206  1.412679
## 307                 2.75922787 1.9315214  -5.914504  1.372438
## 308                 1.69366072 1.6677068  -6.725434  1.381830
## 311                 0.68487244 1.5040774  -7.600902  1.412679
## 312                 2.13083532 1.5040774  -7.293418  1.390462
## 313                 1.49546653 1.4586150  -7.505592  1.440955
## 314                 1.05291638 0.8754687  -8.334872  1.324552
## 315                 0.68487244 1.8245493  -7.024289  1.372438
## 316                 1.69366072 1.1631508  -7.799353  1.338425
## 317                 1.78455817 1.1631508  -7.581100  1.350892
## 320                 0.26936976 1.9740810  -6.725434  1.308996
## 321                 0.55980793 1.9600948  -7.728736  1.324552
## 322                 1.00562217 1.8562980  -6.377127  1.398431
## 323                 1.53020362 1.2809338  -7.195437  1.338425
## 324                 1.26963623 0.4700036  -8.468403  1.271288
## 325                 1.18656534 1.7749524  -6.907755  1.398431
## 326                 1.78455817 0.7419373  -7.986565  1.398431
## 327                 1.95297508 1.3609766  -7.293418  1.398431
## 329                 1.53020362 1.1314021  -7.775256  1.405814
## 330                 0.90630094 2.1972246  -6.571283  1.381830
## 331                 0.55980793 1.0296194  -7.236259  1.372438
## 332                -0.38485910 1.3609766  -7.024289  1.362172
## 333                 2.33621055 1.5475625  -7.236259  1.350892
##     Gamma_Interferon_induced_Monokin     HCC_4 Hepatocyte_Growth_Factor_HGF
## 1                           2.949822 -3.036554                   0.58778666
## 2                           2.721793 -4.074542                   0.53062825
## 3                           2.762231 -3.649659                   0.09531018
## 5                           2.851987 -3.146555                   0.53062825
## 6                           2.822442 -3.079114                   0.09531018
## 7                           2.739315 -3.506558                   0.40546511
## 8                           2.966101 -3.079114                   0.18232156
## 9                           2.584357 -4.135167                  -0.16251893
## 11                          2.701785 -3.540459                   0.40546511
## 12                          2.769220 -2.918771                   0.09531018
## 14                          2.924402 -3.816713                   0.53062825
## 16                          2.911527 -3.575551                   0.18232156
## 17                          2.845167 -3.816713                   0.18232156
## 18                          2.956388 -4.135167                  -0.24846136
## 19                          3.019718 -3.057608                  -0.19845094
## 20                          2.708297 -3.772261                   0.09531018
## 21                          2.929867 -3.437118                   0.09531018
## 22                          2.724975 -3.863233                   0.74193734
## 23                          2.568127 -3.816713                  -0.07257069
## 24                          2.614139 -3.411248                   0.69314718
## 25                          2.667835 -3.611918                   0.09531018
## 26                          2.788951 -3.473768                   0.33647224
## 28                          2.680311 -3.688879                   0.33647224
## 29                          2.713850 -3.816713                  -0.10536052
## 30                          2.766469 -4.074542                  -0.24846136
## 31                          2.790112 -3.194183                   0.09531018
## 34                          2.883453 -3.381395                   0.33647224
## 35                          2.802914 -3.218876                  -0.19845094
## 36                          2.848747 -3.688879                   0.18232156
## 37                          2.786199 -3.411248                   0.47000363
## 38                          2.919789 -3.611918                   0.18232156
## 39                          2.620513 -4.017384                   0.64185389
## 40                          2.876049 -4.017384                   0.09531018
## 41                          2.825646 -3.270169                   0.00000000
## 42                          2.603403 -3.863233                   0.09531018
## 43                          2.927719 -3.352407                   0.18232156
## 44                          2.908388 -3.649659                   0.26236426
## 45                          2.792403 -3.170086                   0.33647224
## 46                          2.762231 -3.575551                   0.47000363
## 47                          2.757357 -3.506558                  -0.31471074
## 48                          2.879640 -3.381395                   0.64185389
## 50                          2.787386 -3.863233                   0.26236426
## 51                          2.829324 -3.963316                  -0.01005034
## 53                          2.848276 -3.649659                   0.47000363
## 55                          2.637144 -3.863233                   0.33647224
## 56                          2.852215 -3.816713                  -0.17435339
## 57                          2.864362 -3.123566                   0.40546511
## 59                          2.974175 -3.611918                   0.18232156
## 60                          2.936028 -3.575551                  -0.17435339
## 61                          2.742679 -4.074542                  -0.07257069
## 62                          2.684529 -3.772261                  -0.32850407
## 63                          2.726228 -3.442019                   0.09531018
## 64                          3.065368 -3.146555                   0.26236426
## 65                          2.632564 -4.135167                   0.18232156
## 67                          2.674201 -3.688879                   0.58778666
## 68                          2.713850 -3.218876                   0.33647224
## 69                          2.732330 -3.863233                  -0.43078292
## 70                          2.809013 -4.074542                   0.18232156
## 71                          2.780093 -3.296837                   0.09531018
## 72                          2.928799 -3.270169                   0.87546874
## 73                          2.939917 -3.352407                   0.47000363
## 74                          2.916177 -3.442019                  -0.19845094
## 75                          2.939917 -3.729701                   0.40546511
## 76                          2.818539 -3.352407                   0.69314718
## 77                          2.946345 -3.270169                   0.58778666
## 78                          2.943646 -2.733368                   0.64185389
## 80                          2.735867 -3.473768                   0.09531018
## 81                          2.760303 -3.729701                  -0.02020271
## 82                          2.757852 -3.863233                   0.33647224
## 83                          2.668760 -3.146555                   0.26236426
## 84                          2.774554 -3.540459                   0.26236426
## 85                          2.851530 -3.296837                   0.47000363
## 86                          2.851530 -2.207275                   0.47000363
## 88                          2.909446 -3.146555                   0.40546511
## 90                          2.668760 -2.995732                  -0.63487827
## 93                          2.881737 -3.270169                   0.09531018
## 94                          3.032417 -3.123566                   0.64185389
## 95                          2.868085 -3.912023                   0.26236426
## 96                          2.827923 -3.270169                   0.47000363
## 97                          2.778414 -3.575551                   0.33647224
## 98                          2.694967 -4.074542                  -0.37106368
## 99                          2.873869 -3.816713                   0.47000363
## 100                         2.722435 -3.729701                   0.26236426
## 103                         2.876049 -3.649659                   0.64185389
## 104                         2.705439 -4.509860                   0.09531018
## 105                         2.579644 -4.074542                   0.47000363
## 107                         2.752296 -3.772261                   0.26236426
## 108                         2.832888 -3.123566                   0.18232156
## 109                         2.646995 -3.912023                  -0.04082199
## 110                         2.750740 -4.017384                  -0.16251893
## 111                         2.636011 -3.649659                   0.18232156
## 112                         2.893035 -2.813411                   0.53062825
## 113                         2.875131 -3.079114                   0.47000363
## 114                         2.694190 -3.381395                  -0.32850407
## 115                         2.845409 -3.381395                   0.09531018
## 117                         2.806678 -4.135167                   0.40546511
## 118                         2.968193 -3.352407                   0.64185389
## 121                         3.000719 -3.575551                   0.40546511
## 123                         2.706159 -3.611918                  -0.44628710
## 124                         2.872708 -2.995732                  -0.04082199
## 126                         2.715877 -4.017384                   0.00000000
## 128                         2.763185 -3.324236                   0.53062825
## 129                         2.690241 -3.575551                  -0.18632958
## 130                         2.901221 -3.352407                   0.26236426
## 131                         2.532501 -3.688879                   0.09531018
## 132                         2.766469 -3.575551                   0.09531018
## 133                         2.786199 -3.170086                   0.26236426
## 134                         2.791263 -3.015935                   0.87546874
## 135                         2.893035 -3.649659                   0.00000000
## 136                         2.905282 -4.135167                  -0.15082289
## 137                         2.568127 -3.057608                  -0.18632958
## 139                         2.665023 -3.473768                   0.09531018
## 140                         2.860121 -3.863233                   0.26236426
## 141                         2.604783 -3.244194                   0.33647224
## 143                         2.767852 -3.462900                  -0.11653382
## 144                         2.911270 -3.442019                  -0.21072103
## 145                         2.674201 -3.963316                   0.09531018
## 146                         2.950670 -3.057608                   0.40546511
## 147                         2.858842 -4.017384                   0.33647224
## 148                         2.908918 -2.748872                   0.33647224
## 149                         2.790112 -3.772261                   0.18232156
## 152                         2.984412 -3.473768                   0.78845736
## 153                         2.731131 -2.120264                   0.47000363
## 154                         2.579644 -3.611918                   0.33647224
## 155                         2.691833 -3.772261                   0.09531018
## 156                         2.926626 -3.411248                   0.64185389
## 157                         2.903482 -3.611918                   0.18232156
## 158                         2.557619 -3.912023                   0.18232156
## 159                         2.845892 -3.442019                   0.09531018
## 160                         2.769220 -3.575551                   0.53062825
## 161                         2.843211 -3.473768                   0.18232156
## 162                         2.875866 -3.611918                   0.64185389
## 163                         2.678590 -3.649659                   0.26236426
## 165                         2.788951 -3.506558                   0.18232156
## 166                         2.662160 -3.912023                   0.09531018
## 167                         2.843948 -3.963316                   0.58778666
## 168                         2.681164 -3.575551                   0.33647224
## 169                         2.824491 -3.218876                   0.09531018
## 170                         2.881391 -3.270169                   0.09531018
## 171                         2.823909 -3.296837                   0.09531018
## 172                         2.694967 -3.772261                   0.09531018
## 174                         2.886307 -3.575551                  -0.01005034
## 175                         2.786199 -2.975930                   0.40546511
## 176                         2.823031 -3.079114                  -0.06187540
## 177                         2.760303 -3.540459                   0.09531018
## 178                         2.704715 -4.509860                  -0.21072103
## 179                         2.891000 -2.551046                   0.26236426
## 180                         3.008161 -3.649659                   0.40546511
## 181                         2.596327 -3.506558                  -0.19845094
## 182                         2.773241 -3.611918                   0.18232156
## 183                         2.823325 -3.575551                  -0.38566248
## 184                         2.654255 -3.244194                   0.33647224
## 185                         2.771914 -3.270169                   0.47000363
## 186                         2.701785 -3.324236                  -0.07257069
## 189                         2.777140 -3.688879                   0.18232156
## 190                         2.839703 -3.575551                   0.09531018
## 191                         2.715205 -3.506558                   0.26236426
## 192                         2.845409 -3.381395                   0.64185389
## 193                         2.852896 -3.611918                   0.40546511
## 194                         2.771023 -3.270169                  -0.05129329
## 195                         2.708297 -3.649659                   0.83290912
## 197                         2.815134 -3.057608                   0.26236426
## 198                         2.743782 -3.611918                  -0.02020271
## 200                         2.735867 -3.912023                   0.09531018
## 201                         2.785402 -3.218876                   0.00000000
## 202                         2.712482 -3.912023                   0.00000000
## 205                         2.557619 -3.324236                   0.40546511
## 208                         2.824491 -3.611918                   0.40546511
## 210                         2.919789 -3.352407                   0.26236426
## 212                         2.700297 -4.074542                   0.09531018
## 213                         2.754850 -3.057608                   0.18232156
## 214                         2.874020 -3.772261                   0.53062825
## 215                         2.656269 -3.649659                   0.00000000
## 216                         2.752811 -3.816713                  -0.05129329
## 218                         2.890046 -2.847312                   0.09531018
## 219                         2.687819 -4.199705                  -0.11653382
## 220                         2.594876 -4.017384                   0.09531018
## 223                         2.710405 -3.575551                   0.09531018
## 224                         2.735867 -3.688879                   0.18232156
## 225                         2.744330 -3.863233                   0.40546511
## 226                         2.768310 -3.611918                   0.74193734
## 227                         2.763659 -2.864704                   0.00000000
## 228                         2.653238 -4.074542                  -0.44628710
## 229                         2.665023 -3.411248                  -0.12783337
## 230                         2.963228 -2.882404                   0.09531018
## 231                         2.767393 -3.442019                   0.09531018
## 232                         2.697275 -3.101093                   0.09531018
## 233                         2.771023 -3.352407                  -0.11653382
## 234                         2.715877 -3.244194                  -0.15082289
## 236                         2.767393 -3.688879                   0.26236426
## 237                         2.763185 -3.442019                   0.33647224
## 239                         2.875683 -4.199705                  -0.24846136
## 240                         2.791263 -3.411248                   0.00000000
## 241                         2.724975 -3.324236                   0.26236426
## 242                         2.654255 -2.956512                  -0.13926207
## 243                         2.665966 -3.381395                   0.00000000
## 244                         2.783386 -3.101093                   0.26236426
## 245                         2.692623 -2.956512                  -0.23572233
## 246                         2.883623 -2.937463                   0.18232156
## 247                         2.792403 -3.411248                  -0.08338161
## 249                         2.665023 -3.688879                   0.87546874
## 250                         2.870614 -3.146555                   0.26236426
## 251                         2.737602 -3.816713                   0.00000000
## 253                         3.008576 -3.270169                   0.00000000
## 254                         3.011822 -3.218876                   0.40546511
## 255                         2.769220 -3.506558                   0.40546511
## 256                         2.393337 -3.688879                   0.09531018
## 257                         2.584357 -3.575551                  -0.17435339
## 258                         2.906102 -2.937463                   0.64185389
## 260                         2.822737 -3.101093                   0.33647224
## 261                         2.695741 -3.411248                  -0.26136476
## 262                         2.530419 -4.017384                  -0.03045921
## 263                         2.807684 -3.506558                   0.33647224
## 264                         2.763185 -2.813411                   0.40546511
## 265                         2.611519 -3.540459                   0.18232156
## 267                         3.009810 -3.411248                   0.47000363
## 268                         2.906780 -3.079114                   0.18232156
## 269                         2.524026 -3.863233                  -0.12783337
## 270                         2.735284 -3.649659                   0.09531018
## 271                         2.910232 -2.918771                   0.53062825
## 272                         2.735284 -3.729701                   0.26236426
## 273                         2.842468 -3.057608                   0.33647224
## 274                         2.785402 -3.540459                   0.09531018
## 275                         2.825933 -3.506558                   0.09531018
## 277                         2.943646 -3.688879                   0.33647224
## 278                         2.937016 -3.506558                  -0.11653382
## 279                         2.788951 -3.540459                   0.09531018
## 281                         2.875131 -3.036554                   0.53062825
## 282                         2.900935 -3.352935                   0.26236426
## 283                         2.953166 -3.194183                   0.64185389
## 287                         2.666903 -3.729701                   0.58778666
## 289                         2.786596 -3.863233                  -0.31471074
## 290                         2.701785 -4.017384                   0.09531018
## 291                         2.839193 -3.244194                   0.58778666
## 292                         2.848747 -3.381395                   0.64185389
## 294                         2.627850 -3.688879                  -0.41551544
## 297                         2.751261 -3.442019                   0.00000000
## 298                         2.657266 -3.411248                  -0.24846136
## 299                         2.788951 -3.575551                   0.18232156
## 301                         2.620513 -3.442019                  -0.23572233
## 302                         2.584357 -3.649659                  -0.31471074
## 303                         2.760303 -3.540459                   0.47000363
## 304                         2.700297 -3.912023                   0.78845736
## 305                         2.905965 -3.688879                   0.47000363
## 306                         2.732330 -3.194183                   0.47000363
## 307                         2.945455 -2.975930                   0.33647224
## 308                         2.781750 -3.079114                   0.09531018
## 311                         2.854245 -3.688879                  -0.26136476
## 312                         2.810980 -3.270169                   0.26236426
## 313                         2.800812 -3.611918                   0.26236426
## 314                         2.568127 -3.816713                   0.26236426
## 315                         2.846133 -3.411248                  -0.04082199
## 316                         2.603403 -4.074542                   0.47000363
## 317                         2.766469 -4.074542                   0.33647224
## 320                         2.666903 -3.057608                   0.18232156
## 321                         2.738746 -3.729701                  -0.37106368
## 322                         2.863047 -3.057608                   0.47000363
## 323                         2.913692 -3.079114                   0.40546511
## 324                         2.847566 -3.688879                   0.18232156
## 325                         3.006900 -3.146555                   0.33647224
## 326                         2.864685 -3.473768                   0.18232156
## 327                         2.897137 -3.324236                   0.09531018
## 329                         2.749166 -3.912023                   0.40546511
## 330                         2.713850 -3.244194                   0.09531018
## 331                         2.678590 -3.101093                   0.00000000
## 332                         2.748106 -3.296837                  -0.01005034
## 333                         2.862841 -3.649659                   0.64185389
##          IL_7     IL_8 IP_10_Inducible_Protein_10        IgA
## 1   4.8050453 1.711325                   6.242223  -6.812445
## 2   3.7055056 1.675557                   5.686975  -6.377127
## 3   1.0056222 1.691393                   5.049856  -6.319969
## 5   4.2875620 1.764298                   6.369901  -4.645992
## 6   2.7763945 1.708270                   5.480639  -5.809143
## 7   4.0099156 1.698489                   5.451038  -6.645391
## 8   3.7055056 1.701858                   5.968708  -5.083206
## 9   0.6848724 1.691393                   5.375278  -6.645391
## 11  2.9244660 1.719944                   6.144186  -5.776353
## 12  2.9244660 1.675557                   5.164786  -6.502290
## 14  1.0056222 1.760954                   6.313548  -5.599422
## 16  1.2696362 1.705116                   5.598422  -5.449140
## 17  2.5785828 1.760954                   6.063785  -5.496768
## 18  2.7592279 1.573599                   5.036953  -6.214608
## 19  1.3095734 1.719944                   7.383989  -7.323271
## 20  2.7934108 1.750000                   5.375278  -4.509860
## 21  0.5598079 1.701858                   6.218600  -5.339139
## 22  3.5938596 1.764298                   5.789960  -5.403678
## 23  2.1548454 1.675557                   5.056246  -5.952244
## 24  3.2187591 1.695003                   5.683580  -6.119298
## 25  1.5642169 1.657003                   5.416100  -7.402052
## 26  1.5642169 1.679744                   5.843544  -6.165818
## 28  2.1548454 1.671202                   5.758902  -6.502290
## 29  2.7763945 1.675557                   5.480639  -6.437752
## 30  3.2187591 1.679744                   5.837730  -7.293418
## 31  3.2187591 1.772079                   6.428105  -6.074846
## 34  0.6848724 1.757464                   5.484797  -5.278515
## 35  4.3608562 1.646447                   4.905275  -5.744604
## 36  4.3608562 1.717157                   6.612041  -4.803621
## 37  1.5642169 1.701858                   6.086775  -6.074846
## 38  2.0567968 1.739622                   5.902633  -6.907755
## 39  3.9130123 1.657003                   5.181784  -6.119298
## 40  1.8425543 1.730320                   6.527958  -6.119298
## 41  3.9130123 1.717157                   5.484797  -5.496768
## 42  2.1548454 1.711325                   5.541264  -6.214608
## 43  3.2187591 1.698489                   5.937536  -6.265901
## 44  3.8117017 1.760954                   6.675823  -6.437752
## 45  3.2187591 1.725279                   6.118097  -5.744604
## 46  1.8425543 1.727834                   5.204007  -6.571283
## 47  2.1548454 1.679744                   5.389072  -6.907755
## 48  3.9130123 1.701858                   5.758902  -6.032287
## 50  2.9244660 1.725279                   5.723585  -5.572754
## 51  2.3362105 1.661938                   5.451038  -6.948577
## 53  3.4760910 1.708270                   5.983936  -5.360193
## 55  2.7934108 1.730320                   5.476464  -6.725434
## 56  2.0567968 1.683772                   5.913503  -6.437752
## 57  3.7055056 1.714286                   6.156979  -5.259097
## 59  1.6936607 1.735094                   6.565265  -5.472671
## 60  2.1548454 1.705116                   5.817111  -5.572754
## 61  2.0567968 1.687652                   5.147494  -6.502290
## 62  5.1219873 1.695003                   5.817111  -6.265901
## 63  2.1548454 1.683772                   5.981414  -6.032287
## 64  1.2696362 1.711325                   6.059123  -5.360193
## 65  1.8425543 1.714286                   5.129899  -6.645391
## 67  1.2696362 1.675557                   5.468060  -6.812445
## 68  2.7763945 1.695003                   5.318120  -6.725434
## 69  2.1548454 1.683772                   5.225747  -6.119298
## 70  2.5785828 1.691393                   5.765191  -7.236259
## 71  1.0056222 1.714286                   5.153292  -7.035589
## 72  4.2780037 1.746000                   6.565265  -5.201186
## 73  2.3788658 1.691393                   5.805135  -6.032287
## 74  3.5938596 1.708270                   5.758902  -5.572754
## 75  3.7055056 1.762644                   6.115892  -4.791500
## 76  1.2696362 1.732739                   5.141664  -6.165818
## 77  3.4760910 1.722650                   5.420535  -5.360193
## 78  3.4760910 1.779137                   6.700731  -5.744604
## 80  3.9130123 1.687652                   5.855072  -5.991465
## 81  2.9244660 1.705116                   5.891644  -7.195437
## 82  2.5785828 1.717157                   5.846439  -6.502290
## 83  3.5938596 1.727834                   5.983936  -6.437752
## 84  2.1548454 1.683772                   5.690359  -6.907755
## 85  4.0099156 1.725279                   6.359574  -5.776353
## 86  4.3608562 1.760954                   6.023448  -5.020686
## 88  2.1548454 1.751931                   5.958425  -6.502290
## 90  1.7245084 1.651845                   5.505332  -6.645391
## 93  3.0769713 1.735094                   5.799093  -5.067206
## 94  4.1028210 1.794804                   6.813445  -4.268698
## 95  3.7055056 1.705116                   5.697093  -6.725434
## 96  2.5785828 1.695003                   6.300786  -6.725434
## 97  2.1548454 1.695003                   5.905362  -6.645391
## 98  2.7592279 1.634852                   5.327876  -6.927958
## 99  3.0769713 1.767505                   5.525453  -6.437752
## 100 2.3362105 1.666667                   5.662960  -6.377127
## 103 3.9130123 1.725279                   6.115892  -8.047190
## 104 3.7055056 1.719944                   5.686975  -6.214608
## 105 3.4760910 1.725279                   5.068904  -6.645391
## 107 3.2187591 1.737387                   5.361292  -6.725434
## 108 3.9130123 1.711325                   6.326149  -6.437752
## 109 2.1548454 1.661938                   5.384495  -6.319969
## 110 2.1548454 1.687652                   5.752573  -7.250246
## 111 3.5938596 1.714286                   5.529429  -6.377127
## 112 5.3496753 1.737387                   6.423247  -5.083206
## 113 3.9130123 1.725279                   6.322565  -4.699481
## 114 2.5785828 1.711325                   5.468060  -5.521461
## 115 2.1548454 1.714286                   6.879356  -4.879607
## 117 3.4760910 1.711325                   5.793014  -6.812445
## 118 2.9244660 1.730320                   6.579251  -6.319969
## 121 1.2696362 1.711325                   5.673323  -5.318520
## 123 2.1548454 1.657003                   5.451038  -6.502290
## 124 3.4760910 1.651845                   5.075174  -6.074846
## 126 1.2696362 1.705116                   5.049856  -6.319969
## 128 2.9244660 1.773545                   6.651572  -5.914504
## 129 1.6936607 1.651845                   5.934894  -6.437752
## 130 0.5598079 1.687652                   5.793014  -5.259097
## 131 3.4760910 1.691393                   4.962845  -7.082109
## 132 2.0567968 1.717157                   5.852202  -6.214608
## 133 3.4760910 1.671202                   6.107023  -5.083206
## 134 2.9244660 1.735094                   5.743003  -5.472671
## 135 2.1548454 1.646447                   5.332719  -5.546779
## 136 3.7055056 1.698489                   6.410175  -5.083206
## 137 2.3788658 1.661938                   4.934474  -5.713833
## 139 0.5598079 1.646447                   5.501258  -6.265901
## 140 2.9244660 1.711325                   6.406880  -6.265901
## 141 1.8708303 1.708270                   5.429346  -6.645391
## 143 3.4760910 1.714286                   6.068426  -5.991465
## 144 0.5598079 1.675557                   6.013715  -6.214608
## 145 3.5938596 1.691393                   5.513429  -6.032287
## 146 3.9130123 1.730320                   6.646391  -4.879607
## 147 2.1548454 1.737387                   6.651572  -6.938214
## 148 5.0617331 1.769060                   6.588926  -5.952244
## 149 3.4760910 1.717157                   5.720312  -7.338538
## 152 4.5182697 1.770584                   6.431331  -5.683980
## 153 3.4760910 1.759228                   6.165418  -5.099467
## 154 1.4599700 1.657003                   4.990433  -7.013116
## 155 2.1548454 1.701858                   5.616771  -6.265901
## 156 3.7055056 1.739622                   5.472271  -5.240048
## 157 2.7592279 1.687652                   4.927254  -6.571283
## 158 1.8425543 1.691393                   4.997212  -5.914504
## 159 2.1548454 1.753817                   6.259581  -5.914504
## 160 3.9130123 1.687652                   4.962845  -5.496768
## 161 2.9244660 1.679744                   6.444131  -5.952244
## 162 3.0769713 1.695003                   5.846439  -7.118476
## 163 0.7434918 1.679744                   5.641907  -6.907755
## 165 0.5598079 1.708270                   6.184149  -6.645391
## 166 2.0567968 1.640789                   5.613128  -6.571283
## 167 4.1920814 1.727834                   6.220590  -6.907755
## 168 4.1920814 1.708270                   5.111988  -6.725434
## 169 2.5785828 1.666667                   5.575949  -5.599422
## 170 1.5642169 1.695003                   6.336826  -5.952244
## 171 4.1920814 1.714286                   5.899897  -5.149897
## 172 1.4236758 1.671202                   5.389072  -6.645391
## 174 2.0567968 1.719944                   5.648974  -5.521461
## 175 3.7055056 1.741801                   5.828946  -4.625373
## 176 2.5595409 1.727834                   6.169611  -6.437752
## 177 4.1028210 1.675557                   5.198497  -6.812445
## 178 2.1548454 1.622036                   5.897154  -6.907755
## 179 5.0000000 1.760954                   6.073045  -4.828314
## 180 2.5785828 1.748024                   6.220738  -6.119298
## 181 3.4760910 1.708270                   5.135798  -6.571283
## 182 2.0567968 1.698489                   5.214936 -10.519674
## 183 3.5938596 1.725279                   4.990433  -5.809143
## 184 2.1548454 1.705116                   5.739793  -6.812445
## 185 2.7763945 1.691393                   5.863631  -5.809143
## 186 1.5642169 1.607768                   4.779123  -6.265901
## 189 2.1548454 1.657003                   5.720312  -5.878136
## 190 2.7763945 1.683772                   5.968708  -5.654992
## 191 2.7763945 1.705116                   5.575949  -6.119298
## 192 3.3513883 1.739622                   6.315358  -6.165818
## 193 2.5595409 1.698489                   5.752573  -7.082109
## 194 3.9130123 1.666667                   5.493061  -6.165818
## 195 3.7055056 1.772079                   5.805135  -6.165818
## 197 2.9244660 1.717157                   5.777652  -5.449140
## 198 2.0567968 1.661938                   5.958425  -6.725434
## 200 3.4760910 1.732739                   5.549076  -6.725434
## 201 3.8117017 1.708270                   6.063785  -6.165818
## 202 3.2187591 1.695003                   5.659482  -6.991137
## 205 2.3788658 1.705116                   5.135798  -5.878136
## 208 3.0769713 1.675557                   6.903747  -6.265901
## 210 0.5598079 1.683772                   6.001415  -6.502290
## 212 2.5595409 1.675557                   5.407172  -7.799353
## 213 2.1548454 1.691393                   5.424950  -5.713833
## 214 3.2187591 1.806653                   5.298317  -6.319969
## 215 2.0567968 1.719944                   5.278115  -6.571283
## 216 1.7245084 1.727834                   5.934894  -5.878136
## 218 3.3513883 1.698489                   6.456770  -4.840893
## 219 2.0567968 1.679744                   5.986452  -6.119298
## 220 2.5595409 1.666667                   5.361292  -7.452482
## 223 4.1028210 1.701858                   5.442418  -5.298317
## 224 2.1548454 1.657003                   5.733341  -5.713833
## 225 2.0567968 1.714286                   5.752573  -6.377127
## 226 2.3362105 1.711325                   5.575949  -5.521461
## 227 4.3608562 1.727834                   5.996452  -5.318520
## 228 3.2187591 1.679744                   5.652489  -6.812445
## 229 2.1548454 1.695003                   5.648974  -5.221356
## 230 2.1548454 1.719944                   5.579730  -5.426151
## 231 1.5642169 1.695003                   5.863631  -6.502290
## 232 3.0769713 1.691393                   5.384495  -5.599422
## 233 1.7245084 1.687652                   5.937536  -7.106206
## 234 3.4760910 1.675557                   4.969813  -5.184989
## 236 2.1548454 1.634852                   5.198497  -6.812445
## 237 3.4760910 1.732739                   5.953243  -6.980326
## 239 5.7056368 1.695003                   5.030438  -5.843045
## 240 2.1548454 1.737387                   5.288267  -7.523941
## 241 3.9130123 1.657003                   5.288267  -6.319969
## 242 5.1219873 1.737387                   5.537334  -4.342806
## 243 1.2696362 1.661938                   5.093750  -5.683980
## 244 1.2696362 1.797969                   5.902633  -6.645391
## 245 1.7245084 1.687652                   4.700480  -6.377127
## 246 4.2780037 1.711325                   6.298949  -4.947660
## 247 2.0567968 1.671202                   5.817111  -6.645391
## 249 1.5642169 1.687652                   5.590987  -7.182192
## 250 3.0769713 1.739622                   5.746203  -5.914504
## 251 1.2696362 1.691393                   5.686975  -6.571283
## 253 3.4760910 1.750000                   6.003887  -4.976234
## 254 4.3608562 1.762644                   6.793466  -5.914504
## 255 2.0567968 1.750000                   5.993961  -5.184989
## 256 2.0567968 1.646447                   4.941642  -6.907755
## 257 2.0567968 1.628609                   5.123964  -7.293418
## 258 2.1548454 1.695003                   5.323010  -6.927958
## 260 3.0769713 1.741801                   5.872118  -5.878136
## 261 1.2696362 1.687652                   5.648974  -6.265901
## 262 1.7245084 1.666667                   4.844187  -6.074846
## 263 3.9130123 1.741801                   6.077642  -7.082109
## 264 4.5182697 1.753817                   6.070738  -5.472671
## 265 4.2780037 1.661938                   5.303305  -5.713833
## 267 2.9244660 1.719944                   6.063785  -5.599422
## 268 3.7055056 1.732739                   6.013715  -6.725434
## 269 2.7592279 1.657003                   5.087596  -8.145630
## 270 2.7763945 1.739622                   5.620401  -5.843045
## 271 3.4760910 1.711325                   5.924256  -5.472671
## 272 3.7055056 1.687652                   5.820083  -5.381699
## 273 2.3362105 1.746000                   6.173786  -6.119298
## 274 0.7434918 1.675557                   5.587249  -6.502290
## 275 4.4408751 1.691393                   6.122493  -5.991465
## 277 2.5785828 1.717157                   6.137727  -5.683980
## 278 3.9130123 1.719944                   6.357842  -5.878136
## 279 2.5785828 1.675557                   6.186209  -5.572754
## 281 2.5785828 1.705116                   5.631212  -5.221356
## 282 1.8425543 1.743926                   5.356586  -5.991465
## 283 3.4760910 1.753817                   6.873164  -5.744604
## 287 3.9130123 1.675557                   5.135798  -5.809143
## 289 3.5938596 1.687652                   5.501258  -5.952244
## 290 2.3788658 1.698489                   5.517453  -5.991465
## 291 3.2187591 1.759228                   5.389072  -5.381699
## 292 3.5938596 1.760954                   6.617403  -6.265901
## 294 3.9130123 1.671202                   5.840642  -6.571283
## 297 1.2696362 1.640789                   5.517453  -5.952244
## 298 2.9244660 1.657003                   4.317488  -6.119298
## 299 2.1548454 1.675557                   6.098074  -6.725434
## 301 2.1548454 1.607768                   5.590987  -7.542634
## 302 2.1548454 1.708270                   5.241747  -6.165818
## 303 2.3362105 1.717157                   5.720312  -6.119298
## 304 2.1548454 1.701858                   5.796058  -6.437752
## 305 3.7055056 1.711325                   5.361292  -5.713833
## 306 4.1920814 1.743926                   5.497168  -5.472671
## 307 4.2780037 1.753817                   6.532334  -5.546779
## 308 4.6659102 1.691393                   6.054439  -5.521461
## 311 4.2780037 1.730320                   6.278521  -5.221356
## 312 2.5595409 1.683772                   5.874931  -6.032287
## 313 3.0769713 1.705116                   6.059123  -6.502290
## 314 2.5595409 1.661938                   5.087596  -7.035589
## 315 4.3608562 1.743926                   6.208590  -5.339139
## 316 4.1028210 1.671202                   4.356709  -6.119298
## 317 2.7934108 1.646447                   5.971262  -6.907755
## 320 4.1028210 1.666667                   5.252273  -4.710531
## 321 3.7055056 1.679744                   5.111988  -7.024289
## 322 4.4408751 1.698489                   6.011267  -5.051457
## 323 2.7763945 1.675557                   6.897705  -6.214608
## 324 3.2187591 1.698489                   6.208590  -7.169120
## 325 4.4408751 1.722650                   7.501082  -6.319969
## 326 2.0567968 1.701858                   5.560682  -6.812445
## 327 2.9244660 1.725279                   5.587249  -5.240048
## 329 2.1548454 1.714286                   5.926926  -6.812445
## 330 3.7055056 1.727834                   5.267858  -4.199705
## 331 3.0769713 1.600000                   5.293305  -6.265901
## 332 3.3513883 1.717157                   5.273000  -5.914504
## 333 3.9130123 1.727834                   6.746412  -6.074846
##     Kidney_Injury_Molecule_1_KIM_1    MCP_1     MCP_2        MIF MIP_1alpha
## 1                        -1.204295 6.740519 1.9805094 -1.2378744  4.9684528
## 2                        -1.197703 6.849066 1.8088944 -1.8971200  3.6901597
## 3                        -1.191191 6.767343 0.4005958 -2.3025851  4.0495083
## 5                        -1.163800 6.722630 2.2208309 -1.8971200  6.4527639
## 6                        -1.123868 6.541030 2.3343863 -2.0402208  4.6034206
## 7                        -1.143534 6.359574 2.1030230 -2.1202635  3.5512079
## 8                        -1.184754 6.448889 2.6867663 -1.7719568  6.4527639
## 9                        -1.159695 6.445720 1.8527528 -2.2072749  2.1623278
## 11                       -1.155616 6.606650 4.0237466 -1.5141277  5.3589486
## 12                       -1.153587 6.444131 1.5303762 -1.7147984  3.9611107
## 14                       -1.172093 6.744059 2.4440754 -2.0402208  4.9684528
## 16                       -1.202089 6.212606 1.0483341 -1.5141277  4.4785663
## 17                       -1.123868 6.781058 2.8501989 -1.9661129  5.3589486
## 18                       -1.163800 6.501290 1.8527528 -2.3330443  2.7632020
## 19                       -1.206511 6.066108 2.8501989 -1.7147984  5.7354768
## 20                       -1.191191 6.787845 1.5303762 -2.3538784  4.9684528
## 21                       -1.147537 6.513230 2.8501989 -1.4696760  4.3519974
## 22                       -1.224597 6.476972 1.7643559 -1.4696760  4.9285621
## 23                       -1.186891 6.293419 1.8088944 -2.1202635  3.6901597
## 24                       -1.202089 6.403574 1.0483341 -1.7147984  4.6034206
## 25                       -1.155616 6.424869 2.1820549 -2.1202635  3.4097438
## 26                       -1.155616 6.122493 2.0219013 -1.5606477  4.0495083
## 28                       -1.182624 7.003065 1.6263611 -1.8971200  3.7359451
## 29                       -1.184754 6.484635 2.2969819 -1.8971200  3.5043402
## 30                       -1.143534 6.177944 2.1030230 -2.4079456  2.3321346
## 31                       -1.145532 6.408529 2.5152196 -2.1202635  5.3589486
## 34                       -1.167932 6.815640 2.7530556 -1.8971200  3.4097438
## 35                       -1.170009 6.478510 1.5303762 -1.8325815  3.4097438
## 36                       -1.174184 6.651572 1.8527528 -1.8325815  3.9611107
## 37                       -1.182624 6.293419 1.6263611 -1.4696760  4.3519974
## 38                       -1.172093 6.416732 1.8527528 -1.7147984  3.9611107
## 39                       -1.199892 6.302619 0.4005958 -1.8325815  3.2656012
## 40                       -1.172093 6.797940 2.6191813 -2.1202635  3.6901597
## 41                       -1.159695 6.796824 1.0483341 -1.5141277  2.7632020
## 42                       -1.213217 6.246107 1.0483341 -1.7719568  3.4097438
## 43                       -1.123868 6.364751 1.8527528 -2.2072749  3.8717775
## 44                       -1.210972 6.583409 1.8088944 -1.8971200  4.2236285
## 45                       -1.155616 6.877296 3.0369315 -1.3470736  5.3589486
## 46                       -1.217737 6.602588 1.1637797 -1.8325815  3.6901597
## 47                       -1.186891 6.516193 1.8527528 -1.8325815  3.9611107
## 48                       -1.165862 6.562444 1.5303762 -1.1711830  3.5512079
## 50                       -1.213217 6.453625 3.2434918 -1.6607312  4.2236285
## 51                       -1.224597 6.154858 1.7643559 -1.9661129  3.0188940
## 53                       -1.199892 6.401917 1.1637797 -1.8971200  5.3589486
## 55                       -1.204295 6.222576 1.6731213 -2.1202635  4.0495083
## 56                       -1.174184 6.480045 1.5303762 -1.8325815  3.1185934
## 57                       -1.231557 6.661855 1.9805094 -1.2729657  6.7959273
## 59                       -1.191191 6.565265 2.5848812 -1.7147984  4.6857433
## 60                       -1.184754 6.481577 1.6731213 -2.2072749  4.7266389
## 61                       -1.163800 6.242223 1.5303762 -2.1202635  2.7632020
## 62                       -1.143534 6.556778 1.8527528 -2.3538784  3.5512079
## 63                       -1.182624 6.823286 2.3713615 -1.5606477  3.9611107
## 64                       -1.157652 6.669498 2.1427912 -1.6607312  5.3589486
## 65                       -1.197703 6.320768 1.1637797 -2.0402208  3.2656012
## 67                       -1.208737 6.401917 1.5303762 -1.3470736  3.1185934
## 68                       -1.224597 6.368187 1.7643559 -1.1394343  6.0996440
## 69                       -1.170009 6.263398 1.1637797 -2.2072749  2.9685108
## 70                       -1.159695 6.259581 2.0219013 -1.6607312  2.9685108
## 71                       -1.186891 6.579251 1.3273591 -2.1202635  4.3519974
## 72                       -1.231557 6.603944 2.2591348 -1.7147984  5.3589486
## 73                       -1.193353 6.406880 1.1637797 -1.6094379  5.3589486
## 74                       -1.145532 6.326149 2.5152196 -2.3751558  3.8717775
## 75                       -1.204295 6.946976 1.8088944 -2.3330443  6.4527639
## 76                       -1.193353 6.907755 1.6731213 -1.5141277  3.4097438
## 77                       -1.217737 6.606650 1.5303762 -1.5606477  4.6034206
## 78                       -1.195524 6.293419 2.6191813 -1.6607312  5.7354768
## 80                       -1.143534 6.817831 1.8527528 -1.6094379  3.8717775
## 81                       -1.178389 6.742881 0.4005958 -1.8971200  3.4097438
## 82                       -1.172093 6.630683 2.0219013 -1.8971200  2.7632020
## 83                       -1.208737 6.442540 2.3713615 -1.8971200  6.4527639
## 84                       -1.163800 6.576470 2.1427912 -1.6607312  3.9611107
## 85                       -1.197703 6.767343 2.1427912 -1.7147984  3.2656012
## 86                       -1.182624 6.829794 2.1427912 -1.4696760  3.5512079
## 88                       -1.199892 6.508769 2.6867663 -1.2729657  5.3589486
## 90                       -1.241005 6.586172 2.1820549 -2.3025851  5.7354768
## 93                       -1.241005 6.665684 1.7643559 -1.8325815  3.8717775
## 94                       -1.213217 7.038784 3.1563503 -1.4271164  6.0996440
## 95                       -1.104733 6.517671 2.5152196 -2.1202635  3.5512079
## 96                       -1.191191 6.437752 2.0219013 -1.6094379  4.0495083
## 97                       -1.189037 6.152733 2.0219013 -2.0402208  2.7632020
## 98                       -1.167932 6.459904 1.5303762 -2.2072749  0.9345728
## 99                       -1.204295 6.927558 1.5303762 -2.1202635  5.3589486
## 100                      -1.186891 6.249975 1.5303762 -1.8971200  3.1185934
## 103                      -1.213217 6.726233 1.1637797 -1.8325815  3.6901597
## 104                      -1.217737 7.229839 2.5502306 -1.5606477  4.2666237
## 105                      -1.213217 6.463029 1.1637797 -1.8971200  3.2656012
## 107                      -1.161744 6.161207 1.8527528 -1.6607312  4.0495083
## 108                      -1.206511 6.731018 2.1030230 -2.0402208  2.9685108
## 109                      -1.193353 6.304449 0.4005958 -2.4304185  3.2656012
## 110                      -1.157652 6.869014 1.6731213 -2.2072749  3.5512079
## 111                      -1.208737 6.566672 1.7643559 -1.4271164  3.2656012
## 112                      -1.184754 6.519147 2.3343863 -1.5606477  5.7354768
## 113                      -1.159695 6.748760 2.0219013 -1.9661129  4.9684528
## 114                      -1.151564 6.455199 2.0219013 -2.1202635  3.4097438
## 115                      -1.167932 6.212606 2.1427912 -1.5606477  4.0933668
## 117                      -1.161744 6.184149 1.5303762 -1.8971200  2.5513420
## 118                      -1.178389 6.403574 2.0219013 -1.1086626  3.9165632
## 121                      -1.206511 6.142037 2.3713615 -1.6607312  4.4785663
## 123                      -1.170009 6.663133 2.6867663 -2.5510465  2.7632020
## 124                      -1.197703 6.473891 1.7643559 -1.7719568  3.5043402
## 126                      -1.165862 6.538140 1.5303762 -1.8971200  3.1185934
## 128                      -1.182624 6.927558 2.5848812 -1.8971200  3.1185934
## 129                      -1.204295 5.826000 0.4005958 -2.1202635  3.2656012
## 130                      -1.178389 6.251904 2.0219013 -1.9661129  4.3519974
## 131                      -1.180503 6.356108 0.4005958 -2.3126354  3.6901597
## 132                      -1.159695 5.908083 1.5303762 -2.2072749  4.0495083
## 133                      -1.202089 6.146329 2.3343863 -1.8325815  4.3519974
## 134                      -1.149547 6.844815 1.6263611 -1.0216512  5.3589486
## 135                      -1.159695 6.458338 1.8527528 -1.9661129  2.3321346
## 136                      -1.208737 6.511745 2.9135187 -2.0402208  4.2666237
## 137                      -1.161744 6.084499 0.4005958 -2.2072749  3.6901597
## 139                      -1.172093 6.416732 2.0219013 -1.7719568  4.0495083
## 140                      -1.182624 6.284134 1.6263611 -1.4271164  3.2169268
## 141                      -1.145532 6.364751 1.0483341 -1.8325815  3.4097438
## 143                      -1.161744 6.775366 2.6867663 -2.1202635  4.9684528
## 144                      -1.182624 6.561031 2.0219013 -2.0402208  4.1804231
## 145                      -1.174184 6.493754 1.6731213 -2.3025851  2.3321346
## 146                      -1.182624 6.677083 2.3343863 -1.6094379  4.6034206
## 147                      -1.210972 6.678342 2.8501989 -1.2378744  4.6034206
## 148                      -1.229225 6.613384 2.9757467 -1.8325815  5.7354768
## 149                      -1.202089 6.520621 1.5303762 -2.2072749  4.0495083
## 152                      -1.206511 6.669498 2.0219013 -0.8439701  4.1804231
## 153                      -1.172093 6.669498 2.6191813 -1.7147984  4.4785663
## 154                      -1.204295 6.196444 0.4005958 -2.1202635  3.0689186
## 155                      -1.161744 6.504288 2.3343863 -1.8971200  1.7449255
## 156                      -1.191191 6.532334 0.4005958 -2.3126354  4.9684528
## 157                      -1.170009 6.357842 1.1637797 -1.9661129  3.6901597
## 158                      -1.199892 6.202536 1.1637797 -2.0402208  3.4571875
## 159                      -1.174184 5.905362 3.0064666 -2.1202635  3.6901597
## 160                      -1.199892 5.968708 1.1637797 -1.8971200  3.2656012
## 161                      -1.157652 5.937536 2.3713615 -1.7147984  3.9611107
## 162                      -1.224597 6.689599 2.1820549 -1.2378744  4.7673608
## 163                      -1.217737 6.563856 1.5303762 -2.0402208  3.0188940
## 165                      -1.191191 7.106606 2.6191813 -1.6607312  3.7359451
## 166                      -1.180503 6.529419 1.5303762 -1.7719568  1.9277652
## 167                      -1.243398 6.610696 2.1820549 -1.4696760  4.9285621
## 168                      -1.184754 6.797940 1.5303762 -2.3025851  4.0495083
## 169                      -1.170009 6.371612 2.0219013 -2.1202635  4.0495083
## 170                      -1.155616 7.012115 2.6191813 -1.4696760  4.0495083
## 171                      -1.178389 6.257668 1.0483341 -1.8325815  3.8267490
## 172                      -1.147537 5.940171 1.1637797 -2.2072749  3.5512079
## 174                      -1.159695 6.937314 2.7530556 -1.7147984  4.4785663
## 175                      -1.195524 6.590301 2.6191813 -1.8325815  4.3519974
## 176                      -1.163800 6.697034 1.5303762 -1.7147984  4.5619880
## 177                      -1.204295 6.714171 1.7643559 -1.8325815  4.6034206
## 178                      -1.170009 6.047372 1.9805094 -1.9661129  2.7632020
## 179                      -1.123868 6.347389 2.0219013 -2.3751558  4.9684528
## 180                      -1.167932 6.369901 2.8501989 -1.8971200  5.7354768
## 181                      -1.224597 6.626718 1.7643559 -2.1202635  5.3589486
## 182                      -1.170009 6.200509 0.4005958 -1.8971200  3.1679268
## 183                      -1.123868 6.621406 2.1030230 -2.5133061  2.3321346
## 184                      -1.191191 6.333280 2.0219013 -1.3093333  4.6034206
## 185                      -1.174184 6.778785 1.0483341 -2.0402208  4.5619880
## 186                      -1.151564 6.729824 1.6263611 -1.8325815  3.9165632
## 189                      -1.199892 6.016157 1.0483341 -1.6607312  3.7359451
## 190                      -1.224597 6.429719 1.2195081 -1.6607312  5.3589486
## 191                      -1.236256 6.556778 1.7643559 -1.7147984  4.6034206
## 192                      -1.243398 7.012115 2.1820549 -1.4271164  4.2666237
## 193                      -1.202089 6.214608 0.4005958 -1.4696760  2.3876751
## 194                      -1.206511 6.320768 1.7643559 -2.0402208  3.5043402
## 195                      -1.204295 6.701960 2.0219013 -2.0402208  2.8151156
## 197                      -1.163800 6.366470 1.6263611 -0.9416085  4.1804231
## 198                      -1.222299 6.212606 1.9805094 -2.1202635  3.2656012
## 200                      -1.202089 6.297109 1.5303762 -1.6607312  2.3321346
## 201                      -1.184754 6.345636 1.9805094 -1.8325815  5.7354768
## 202                      -1.163800 6.246107 1.5303762 -2.2072749  2.7632020
## 205                      -1.193353 6.937314 1.8088944 -1.8971200  4.6857433
## 208                      -1.213217 6.075346 2.6867663 -2.0402208  4.9285621
## 210                      -1.202089 6.504288 4.0237466 -2.2072749  4.1804231
## 212                      -1.172093 6.629363 1.0483341 -1.8325815  2.3876751
## 213                      -1.172093 6.637258 1.6263611 -1.9661129  4.6034206
## 214                      -1.193353 6.685861 2.0219013 -2.0402208  4.8079117
## 215                      -1.161744 6.622736 2.1030230 -1.9661129  3.5512079
## 216                      -1.197703 6.513230 4.0237466 -2.1202635  5.7354768
## 218                      -1.206511 6.393591 2.1820549 -1.9661129  5.7354768
## 219                      -1.174184 6.089045 2.1427912 -1.8971200  3.1185934
## 220                      -1.186891 6.679599 1.0483341 -1.8325815  3.1185934
## 223                      -1.143534 6.156979 1.6731213 -2.1202635  4.1804231
## 224                      -1.151564 6.212606 1.8527528 -2.0402208  3.5512079
## 225                      -1.197703 6.253829 1.5303762 -1.8971200  2.5513420
## 226                      -1.243398 6.839476 1.9805094 -1.7147984  5.7354768
## 227                      -1.157652 6.184149 2.3343863 -2.3859667  3.8717775
## 228                      -1.143534 6.434547 1.9805094 -2.3025851  2.5513420
## 229                      -1.143534 6.042633 1.0483341 -2.0402208  3.4097438
## 230                      -1.172093 6.816736 2.1820549 -1.2729657  5.3589486
## 231                      -1.123868 6.282267 2.6191813 -1.9661129  3.7359451
## 232                      -1.206511 6.898715 2.6867663 -1.7719568  4.2666237
## 233                      -1.208737 6.214608 2.9135187 -2.1202635  4.2666237
## 234                      -1.147537 6.154858 1.0483341 -1.8971200  2.4972636
## 236                      -1.159695 6.493754 2.0219013 -2.0402208  3.2169268
## 237                      -1.193353 6.447306 1.5303762 -1.8971200  3.1185934
## 239                      -1.149547 7.012115 1.8527528 -2.3859667  4.6034206
## 240                      -1.163800 6.089045 1.5303762 -2.1202635  3.1679268
## 241                      -1.163800 6.018593 1.6263611 -1.6607312  2.7632020
## 242                      -1.199892 6.862758 1.5303762 -2.6736488  4.0495083
## 243                      -1.182624 6.739337 0.4005958 -2.0402208  3.6901597
## 244                      -1.165862 6.693324 2.3713615 -1.7147984  3.2656012
## 245                      -1.224597 6.405228 1.9805094 -2.3968958  5.3589486
## 246                      -1.167932 6.684612 3.1563503 -2.3330443  4.7266389
## 247                      -1.220013 6.248043 2.1820549 -1.8325815  4.2666237
## 249                      -1.182624 6.580639 1.0483341 -1.4696760  3.7359451
## 250                      -1.213217 6.608001 1.8088944 -2.3025851  2.8151156
## 251                      -1.176283 6.363028 1.8527528 -1.8325815  3.1185934
## 253                      -1.143534 6.385194 1.5303762 -1.8325815  4.9684528
## 254                      -1.184754 6.376727 1.8527528 -1.8325815  5.3589486
## 255                      -1.182624 6.690842 1.0483341 -1.4271164  2.3876751
## 256                      -1.195524 6.317165 0.4005958 -1.7719568  2.3876751
## 257                      -1.153587 6.424869 1.0483341 -2.3330443  3.1185934
## 258                      -1.199892 6.864848 2.5152196 -1.8971200  5.7354768
## 260                      -1.206511 6.553933 2.3713615 -1.7719568  4.9285621
## 261                      -1.174184 6.620073 1.8527528 -2.3751558  3.4097438
## 262                      -1.208737 6.269096 2.5502306 -1.6094379  2.4972636
## 263                      -1.220013 6.439350 1.9805094 -1.2378744  3.2656012
## 264                      -1.202089 6.892642 2.5848812 -2.0402208  3.8267490
## 265                      -1.213217 6.182085 1.2195081 -1.9661129  3.0188940
## 267                      -1.178389 6.568078 2.0219013 -1.4696760  4.8482939
## 268                      -1.224597 6.530878 1.9805094 -1.2729657  4.2666237
## 269                      -1.178389 6.787845 1.5303762 -2.2072749  4.1804231
## 270                      -1.233900 6.525030 2.3713615 -1.5606477  4.9285621
## 271                      -1.202089 6.674561 1.9805094 -1.5606477  5.7354768
## 272                      -1.191191 6.656727 2.1820549 -1.5141277  4.4365713
## 273                      -1.231557 6.582025 2.3713615 -1.3862944  4.7673608
## 274                      -1.217737 6.652863 1.9805094 -1.6094379  4.0933668
## 275                      -1.161744 6.975414 1.8527528 -1.7719568  3.1679268
## 277                      -1.167932 6.419995 2.0219013 -1.9661129  4.6034206
## 278                      -1.161744 6.593045 2.1030230 -2.2072749  4.4785663
## 279                      -1.167932 6.469250 1.6263611 -1.8971200  3.4097438
## 281                      -1.151564 6.697034 2.7200688 -1.7719568  4.7266389
## 282                      -1.193353 6.734592 1.1637797 -1.8971200  4.3519974
## 283                      -1.255574 6.632002 3.3286939 -1.5545112  4.6034206
## 287                      -1.191191 6.366470 1.1637797 -2.1202635  3.6901597
## 289                      -1.143534 6.120297 2.1030230 -2.5383074  3.5512079
## 290                      -1.204295 7.047517 2.2591348 -2.1202635  4.9684528
## 291                      -1.167932 6.317165 1.6263611 -1.4271164  4.6034206
## 292                      -1.178389 6.464588 1.8527528 -1.8325815  4.9684528
## 294                      -1.104733 6.975414 1.8527528 -2.4769385  4.6034206
## 297                      -1.176283 6.045005 2.1427912 -2.0402208  2.3876751
## 298                      -1.176283 6.450470 0.4005958 -2.5010360  4.3519974
## 299                      -1.172093 5.826000 2.0219013 -1.4271164  3.7359451
## 301                      -1.174184 6.625392 1.8527528 -1.8325815  2.1623278
## 302                      -1.143534 6.481577 2.1030230 -2.8473123  4.0495083
## 303                      -1.202089 6.755769 1.7643559 -1.9661129  5.3589486
## 304                      -1.186891 6.519147 1.5303762 -1.6094379  3.6901597
## 305                      -1.231557 6.445720 1.7643559 -1.3862944  5.3589486
## 306                      -1.161744 6.356108 1.8527528 -1.7147984  6.0996440
## 307                      -1.174184 6.699500 2.3343863 -1.8325815  5.7354768
## 308                      -1.174184 6.716595 1.8527528 -1.7719568  4.1804231
## 311                      -1.174184 6.376727 1.8527528 -2.1202635  3.6901597
## 312                      -1.208737 6.527958 1.8527528 -1.6607312  4.3519974
## 313                      -1.206511 6.255750 1.5303762 -1.7719568  3.5043402
## 314                      -1.208737 5.958425 1.5303762 -1.5141277  2.4972636
## 315                      -1.178389 6.481577 1.5303762 -1.9661129  4.1804231
## 316                      -1.213217 6.089045 0.4005958 -2.0402208  3.0689186
## 317                      -1.193353 7.146772 1.8088944 -2.2072749  4.2236285
## 320                      -1.172093 6.184149 1.1637797 -2.3025851  4.6857433
## 321                      -1.167932 6.687109 0.4005958 -2.6310892  3.6901597
## 322                      -1.186891 6.661855 1.5303762 -1.8971200  4.6857433
## 323                      -1.226905 6.440947 1.9805094 -1.3862944  5.3589486
## 324                      -1.147537 6.393591 1.8527528 -1.6607312  3.5512079
## 325                      -1.222299 6.543912 1.8959582 -1.7719568  3.8717775
## 326                      -1.248226 6.075346 2.1030230 -1.9661129  5.3589486
## 327                      -1.195524 6.493754 2.3343863 -1.1086626  5.3589486
## 329                      -1.193353 6.648985 2.1427912 -1.8971200  3.4097438
## 330                      -1.155616 6.699500 2.3343863 -2.5010360  4.4785663
## 331                      -1.206511 6.375025 1.8959582 -1.6607312  3.2656012
## 332                      -1.189037 6.218600 1.7643559 -1.2729657  4.2666237
## 333                      -1.253110 6.472346 2.6867663 -1.3093333  4.9285621
##          MMP_3     MMP10       MMP7 NT_proBNP Osteopontin       PAI_1     PLGF
## 1   -2.2072749 -3.270169 -3.7735027  4.553877    5.356586  1.00350156 4.442651
## 2   -2.4651040 -3.649659 -5.9681907  4.219508    6.003887 -0.03059880 4.025352
## 3   -2.3025851 -2.733368 -4.0302269  4.248495    5.017280  0.43837211 4.510860
## 5   -1.5606477 -2.617296 -0.2222222  4.465908    5.693732  0.25230466 4.795791
## 6   -3.0365543 -3.324236 -1.9223227  4.189655    4.736198  0.43837211 4.394449
## 7   -2.1202635 -4.135167 -5.9681907  4.330733    5.318120  0.00000000 3.367296
## 8   -2.5257286 -3.688879 -2.4721360  3.828641    4.983607  0.49054798 4.343805
## 9   -2.5639499 -4.017384 -5.8446454  5.043425    5.049856 -0.47754210 3.526361
## 11  -2.3025851 -3.963316 -3.7735027  4.875197    5.533389  0.25230466 4.356709
## 12  -2.3025851 -3.244194 -3.0000000  4.727388    5.099866  0.25230466 3.871201
## 14  -2.5133061 -3.575551 -1.3806170  4.691348    5.023881  0.32004747 4.330733
## 16  -2.6592600 -3.123566 -4.0302269  5.323010    5.690359  0.49054798 4.189655
## 17  -3.2188758 -3.411248 -2.8507125  4.595120    5.043425  0.32004747 4.219508
## 18  -2.3025851 -3.963316 -1.2879797  3.931826    4.927254  0.32004747 4.189655
## 19  -3.1941832 -4.074542 -3.3452248  4.290459    4.804021  0.53887915 3.784190
## 20  -1.9661129 -2.563950 -0.6037782  3.784190    4.969813  0.85893499 4.454347
## 21  -2.3859667 -3.324236 -3.3452248  5.262690    4.997212 -0.65480247 4.007333
## 22  -1.1711830 -3.611918 -4.0302269  4.828314    6.308098 -0.15428707 3.258097
## 23  -2.1202635 -4.135167 -6.3770782  3.663562    5.351858 -0.04107298 4.262680
## 24  -2.7333680 -3.381395 -4.3245553  4.709530    5.743003 -0.21752413 3.465736
## 25  -2.6736488 -3.506558 -4.0302269  4.672829    4.653960 -0.72247798 3.433987
## 26  -1.8325815 -3.381395 -3.5470020  4.499810    5.568345  0.09396047 3.688879
## 28  -2.5902672 -3.381395 -4.0302269  4.465908    5.609472 -0.05168998 3.713572
## 29  -2.9004221 -3.772261 -2.2640143  3.931826    4.615121 -0.87443088 3.912023
## 30  -2.3126354 -3.863233 -3.7735027  4.317488    5.087596 -0.14221210 3.583519
## 31  -2.3644605 -3.244194 -3.3452248  4.828314    5.236442  0.09396047 4.488636
## 34  -2.6592600 -3.270169 -2.8507125  4.770685    4.919981  0.58384004 4.727388
## 35  -2.5383074 -3.506558 -2.5883147  4.605170    4.744932  0.00000000 4.110874
## 36  -2.0402208 -3.218876 -0.7216553  4.718499    4.812184  0.00000000 4.499810
## 37  -1.6094379 -3.218876 -3.7735027  4.595120    5.826000  0.09396047 3.912023
## 38  -2.1202635 -3.270169 -4.7040152  4.605170    4.976734  0.25230466 3.871201
## 39  -2.6310892 -4.074542 -4.5938047  4.262680    5.529429  0.09396047 3.332205
## 40  -2.3025851 -3.912023 -1.6514837  4.499810    4.890349  0.32004747 3.891820
## 41  -2.7181005 -3.270169 -3.7735027  4.983607    5.081404  0.25230466 4.094345
## 42  -2.4889147 -3.816713 -4.3245553  4.700480    5.262690 -0.11859478 4.025352
## 43  -2.4889147 -3.218876 -3.1639778  4.304065    5.323010 -0.28605071 3.806662
## 44  -2.5133061 -3.123566 -4.4888568  4.736198    5.147494  0.62582535 4.532599
## 45  -1.4696760 -2.764621 -2.1702883  4.634729    5.192957  0.17742506 4.143135
## 46  -1.5141277 -3.270169 -1.1622777  4.499810    5.529429  0.17742506 4.382027
## 47  -3.2441936 -3.649659 -2.8507125  4.976734    4.727388 -0.11859478 3.828641
## 48  -1.9661129 -3.816713 -4.0302269  4.919981    5.765191  0.49054798 4.248495
## 50  -2.3025851 -2.645075 -3.5470020  5.129899    5.214936  0.17742506 4.127134
## 51  -2.4534080 -4.074542 -4.6666667  4.795791    5.416100 -0.40885871 3.295837
## 53  -2.3227878 -3.411248 -3.7735027  4.127134    5.283204  0.09396047 4.007333
## 55  -2.2072749 -3.540459 -6.6874449  4.127134    4.882802  0.09396047 3.871201
## 56  -2.5383074 -3.729701 -4.3245553  5.062595    5.017280  0.17742506 4.290459
## 57  -1.9661129 -3.442019 -2.8507125  4.574711    5.323010  0.49054798 4.499810
## 59  -2.3644605 -3.772261 -3.0000000  5.036953    5.062595  1.10005082 4.663439
## 60  -3.3813948 -4.074542 -4.3887656  4.736198    5.062595 -0.27188464 3.806662
## 61  -3.2968374 -4.017384 -3.5470020  4.488636    5.023881 -0.25795574 3.931826
## 62  -3.0791139 -4.422849 -6.7705802  4.574711    4.653960 -0.55204550 3.496508
## 63  -2.5902672 -3.688879 -3.7735027  4.948760    5.493061 -0.01006550 4.077537
## 64  -3.3813948 -3.101093 -1.0151134  5.181784    5.318120  0.76993928 4.343805
## 65  -2.2072749 -3.649659 -4.0302269  4.143135    5.117994  0.09396047 3.332205
## 67  -2.4889147 -3.772261 -6.3045480  4.859812    5.771441 -0.16654597 3.850148
## 68  -2.5510465 -3.540459 -4.3245553  3.610918    5.521461 -0.04107298 3.663562
## 69  -4.2686979 -4.342806 -5.7849894  4.304065    4.718499 -0.11859478 3.555348
## 70  -1.8971200 -3.324236 -3.3452248  5.003946    5.105945  0.17742506 3.737670
## 71  -2.0402208 -4.135167 -4.0302269  4.605170    4.941642  0.73700033 4.369448
## 72  -1.6607312 -3.506558 -4.0302269  4.634729    5.549076  0.09396047 4.369448
## 73  -1.3470736 -3.324236 -5.2074997  4.795791    5.605802  0.58384004 4.615121
## 74  -2.8134107 -2.995732 -2.0000000  4.406719    4.290459  0.49054798 3.871201
## 75  -1.8971200 -3.015935 -2.4721360  4.820282    5.288267  0.58384004 4.605170
## 76  -1.4696760 -2.577022 -2.7140452  4.770685    5.921578  0.73700033 4.043051
## 77  -2.3126354 -3.473768 -4.5582584  4.727388    5.501258  0.76993928 3.761200
## 78  -1.8971200 -3.036554 -3.1639778  4.990433    5.921578  0.83076041 4.418841
## 80  -1.8325815 -3.411248 -2.3643578  4.770685    5.068904  0.17742506 3.891820
## 81  -3.0365543 -3.540459 -3.7735027  4.859812    5.081404 -0.14221210 4.189655
## 82  -2.1202635 -3.473768 -4.0302269  4.406719    5.252273  0.17742506 3.135494
## 83  -1.9661129 -3.411248 -3.5470020  4.595120    4.770685 -0.16654597 3.970292
## 84  -3.2441936 -3.575551 -3.3452248  4.543295    5.332719  0.32004747 3.871201
## 85  -2.1202635 -3.688879 -3.7735027  5.468060    5.442418  0.43837211 3.761200
## 86  -1.4271164 -3.123566 -2.7140452  5.117994    5.318120  0.25230466 4.317488
## 88  -2.2072749 -3.270169 -3.1639778  4.727388    5.365976  0.38177502 4.634729
## 90  -3.6496587 -4.509860 -8.3975049  3.178054    4.234107 -0.63330256 3.555348
## 93  -2.4418472 -3.688879 -3.5470020  4.317488    4.779123  0.38177502 3.761200
## 94  -1.3470736 -2.645075 -1.4299717  5.886104    5.780744  0.80114069 4.844187
## 95  -2.8134107 -3.688879 -2.7140452  4.762174    4.867534  0.17742506 3.806662
## 96  -2.2072749 -3.816713 -3.3452248  4.521789    5.384495 -0.23078200 3.713572
## 97  -2.1202635 -3.649659 -4.5938047  4.543295    5.288267 -0.05168998 3.218876
## 98  -3.9120230 -4.342806 -7.3250481  4.477337    5.087596 -0.51401261 3.496508
## 99  -1.3470736 -3.963316 -3.5935279  4.290459    5.840642  0.62582535 4.465908
## 100 -2.0402208 -3.649659 -5.1611487  4.634729    5.351858  0.25230466 3.828641
## 103 -1.2729657 -2.995732 -3.2335542  4.663439    5.407172  0.43837211 4.382027
## 104 -2.2072749 -3.963316 -4.8199434  4.430817    4.934474 -0.17899381 3.891820
## 105 -2.6310892 -3.863233 -5.5592895  4.454347    5.351858 -0.27188464 3.044522
## 107 -2.5770219 -3.575551 -1.3806170  4.369448    4.976734  0.00000000 3.332205
## 108 -2.8647040 -3.912023 -1.9223227  4.682131    5.438079  0.09396047 3.713572
## 109 -3.3524072 -4.667046 -7.5346259  4.465908    4.882802 -0.24425708 3.433987
## 110 -3.4420194 -3.963316 -4.3245553  4.043051    5.220356 -0.06245326 3.713572
## 111 -2.1202635 -3.575551 -1.2879797  4.110874    5.159055 -0.47754210 3.784190
## 112 -1.7147984 -2.631089 -3.3452248  5.323010    5.857933  0.17742506 3.951244
## 113 -2.3126354 -2.995732 -2.3643578  4.787492    5.303305  0.70214496 4.595120
## 114 -3.0791139 -4.199705 -5.1156807  4.543295    4.595120 -0.24425708 3.526361
## 115 -2.6310892 -3.381395 -2.2640143  4.700480    4.912655 -0.13031621 4.465908
## 117 -1.7719568 -3.575551 -4.3564173  4.812184    5.605802  0.38177502 3.784190
## 118 -0.5276327 -2.207275 -2.3643578  4.700480    5.662960  0.83076041 3.988984
## 121 -1.5606477 -3.575551 -0.4253563  5.062595    5.863631  0.53887915 4.330733
## 123 -3.3813948 -4.199705 -2.0000000  4.304065    4.795791 -0.42552800 3.526361
## 124 -1.8971200 -3.863233 -3.1639778  4.875197    5.010635  0.00000000 4.094345
## 126 -1.9661129 -4.268698 -4.8199434  4.912655    4.983607 -0.19163579 3.465736
## 128 -2.3644605 -3.272534 -1.2025631  4.962845    5.488938  0.95939061 3.828641
## 129 -3.1235656 -4.017384 -5.9056942  4.624973    4.605170 -0.57168558 3.433987
## 130 -1.8971200 -4.017384 -3.7735027  5.159055    5.099866  0.25230466 4.143135
## 131 -2.9565116 -3.863233 -5.0710678  4.025352    5.129899 -0.34523643 2.995732
## 132 -1.8971200 -3.506558 -4.0302269  4.442651    5.017280 -0.08443323 3.806662
## 133 -2.4769385 -3.912023 -2.4721360  4.672829    4.859812  0.09396047 4.204693
## 134 -1.3862944 -2.813411 -0.5000000  4.727388    5.602119  0.43837211 4.204693
## 135 -3.6496587 -4.017384 -4.3245553  4.584967    5.257495  0.00000000 3.637586
## 136 -2.3434071 -3.575551 -2.4721360  4.727388    4.110874  0.43837211 4.094345
## 137 -2.7806209 -3.963316 -4.6299354  4.488636    4.976734 -0.01006550 4.094345
## 139 -2.4769385 -3.442019 -3.3452248  4.543295    5.017280 -0.59176325 3.761200
## 140 -2.5639499 -3.729701 -4.0302269  4.406719    5.187386  0.00000000 3.828641
## 141 -2.3025851 -4.074542 -3.1639778  4.820282    5.509388  0.25230466 3.332205
## 143 -2.4889147 -3.688879 -3.5470020  4.574711    4.867534  0.00000000 4.317488
## 144 -3.0791139 -3.912023 -3.7735027  4.276666    5.030438  0.49054798 3.610918
## 145 -3.1700857 -4.074542 -5.0272837  4.276666    5.187386 -0.63330256 3.295837
## 146 -1.6094379 -2.975930 -2.1702883  4.406719    4.836282  0.43837211 3.663562
## 147 -1.6607312 -3.270169 -3.7735027  4.634729    5.743003  0.43837211 3.496508
## 148 -2.1202635 -3.411248 -1.7139068  4.543295    5.537334  0.09396047 4.189655
## 149 -2.5133061 -3.688879 -1.7139068  4.290459    4.897840 -0.27188464 3.761200
## 152 -1.6607312 -3.244194 -2.0824829  4.682131    5.634790  0.88578467 4.488636
## 153 -2.3859667 -3.473768 -3.5470020  4.672829    5.323010  0.00000000 4.158883
## 154 -2.9565116 -4.422849 -5.9681907  3.806662    5.442418 -0.36070366 3.496508
## 155 -3.0791139 -3.963316 -5.2547625  4.442651    5.164786 -0.24425708 3.784190
## 156 -2.6310892 -3.506558 -1.1622777  4.369448    5.176150  0.43837211 4.262680
## 157 -2.5770219 -3.912023 -3.1639778  4.770685    5.568345  1.00350156 4.304065
## 158 -2.2072749 -3.575551 -5.1611487  3.828641    4.962845 -0.51401261 4.077537
## 159 -2.6592600 -4.074542 -4.3245553  4.859812    4.941642  0.17742506 4.043051
## 160 -1.7147984 -3.540459 -4.5582584  4.454347    5.564520 -0.07336643 3.828641
## 161 -2.3644605 -3.963316 -5.0710678  5.081404    5.361292 -0.69936731 4.025352
## 162 -2.9004221 -4.074542 -3.7735027  4.406719    6.144186 -0.07336643 3.367296
## 163 -3.6496587 -4.509860 -6.6874449  4.262680    5.429346 -0.57168558 2.944439
## 165 -2.7333680 -3.473768 -3.5470020  4.499810    5.484797  0.25230466 3.218876
## 166 -2.8134107 -4.074542 -5.4023321  4.624973    5.257495 -0.31512364 3.737670
## 167 -1.6607312 -2.864704 -1.5921060  4.605170    5.783825 -0.42552800 3.401197
## 168 -2.3644605 -3.772261 -0.9814240  4.025352    4.962845 -0.42552800 3.610918
## 169 -2.6172958 -4.342806 -2.0000000  4.465908    5.164786  0.00000000 3.737670
## 170 -3.8167128 -4.933674 -2.0000000  4.499810    5.159055 -0.10704332 3.737670
## 171 -1.8971200 -3.270169 -4.9421013  4.948760    5.187386 -0.45985790 3.367296
## 172 -2.7488722 -4.074542 -5.2074997  4.510860    5.318120 -0.65480247 3.526361
## 174 -1.7719568 -3.101093 -1.5921060  4.595120    5.176150  0.17742506 4.624973
## 175 -2.1202635 -2.343407 -2.5883147  4.584967    5.323010  0.58384004 3.850148
## 176 -2.8647040 -3.912023 -5.0710678  5.003946    4.934474  0.32004747 4.762174
## 177 -1.6607312 -3.473768 -4.7419986  4.770685    5.375278  0.25230466 4.007333
## 178 -2.7181005 -3.688879 -4.0302269  4.682131    4.820282 -0.82104815 3.433987
## 179 -2.7333680 -2.659260 -2.1884251  4.983607    4.442651 -0.01006550 4.077537
## 180 -2.3434071 -3.649659 -2.0000000  4.727388    5.568345 -0.10704332 4.007333
## 181 -3.0365543 -4.135167 -5.5592895  4.382027    4.356709  0.17742506 3.610918
## 182 -2.2072749 -3.912023 -5.0710678  4.553877    5.187386  0.49054798 3.761200
## 183 -2.7488722 -3.611918 -3.7735027  4.406719    4.248495  0.17742506 4.077537
## 184 -2.4769385 -3.473768 -5.4023321  4.653960    5.225747  0.38177502 4.143135
## 185 -2.5133061 -3.324236 -4.4549722  4.948760    5.278115  0.49054798 4.007333
## 186 -2.6172958 -3.688879 -5.0272837  4.304065    5.214936 -0.08443323 3.806662
## 189 -2.6736488 -3.772261 -6.0321933  4.672829    5.710427  0.09396047 2.484907
## 190 -1.5606477 -3.912023 -4.0302269  4.174387    5.509388  0.32004747 3.583519
## 191 -2.2072749 -3.101093 -6.8561489  4.700480    5.332719 -0.63330256 4.077537
## 192 -2.7968814 -3.473768 -4.3245553  4.382027    5.899897  0.25230466 3.295837
## 193 -2.3644605 -3.473768 -3.5470020  5.283204    5.488938  1.00350156 4.836282
## 194 -3.0791139 -3.688879 -2.8507125  4.787492    4.927254  0.17742506 3.713572
## 195 -1.5606477 -3.473768 -1.1234752  4.488636    5.978886  0.43837211 4.234107
## 197 -2.3025851 -3.575551 -2.2640143  5.204007    5.313206 -0.25795574 3.713572
## 198 -2.7646206 -4.135167 -5.5058663  4.077537    5.288267 -0.82104815 2.995732
## 200 -2.6310892 -3.575551 -4.0302269  4.812184    5.370638  0.00000000 3.496508
## 201 -2.3434071 -3.540459 -3.3452248  4.204693    4.962845 -0.06245326 4.127134
## 202 -3.2968374 -4.074542 -6.6066297  4.204693    5.293305 -0.49558921 3.091042
## 205 -1.8971200 -3.411248 -2.0000000  4.369448    5.332719  0.32004747 4.499810
## 208 -2.9957323 -3.816713 -5.0710678  4.382027    5.379897 -0.27188464 3.737670
## 210 -2.1202635 -3.170086 -3.0000000  5.241747    5.278115  0.53887915 4.394449
## 212 -2.4889147 -4.342806 -4.0302269  4.644391    4.948760 -0.20447735 3.850148
## 213 -1.4696760 -3.101093 -3.0000000  4.836282    5.181784 -0.08443323 3.737670
## 214 -2.9565116 -3.218876 -3.3452248  4.304065    5.093750  1.16610855 4.219508
## 215 -1.8971200 -3.912023 -1.6514837  4.430817    5.676754 -0.39250510 3.218876
## 216 -2.7030627 -3.473768 -4.4549722  3.663562    5.187386  0.25230466 4.189655
## 218 -2.5010360 -3.381395 -2.2640143  4.204693    4.997212  0.66516665 4.234107
## 219 -2.9374634 -4.199705 -5.1611487  4.787492    5.214936 -0.15428707 3.610918
## 220 -2.5902672 -3.816713 -5.8446454  4.897840    5.384495 -0.65480247 3.970292
## 223 -2.6310892 -3.575551 -3.3452248  4.828314    5.583496 -0.51401261 3.218876
## 224 -1.8971200 -3.912023 -5.8446454  4.304065    5.293305  0.00000000 3.496508
## 225 -2.5770219 -4.135167 -5.5058663  4.394449    5.826000  0.17742506 3.806662
## 226 -1.1394343 -3.575551 -3.0000000  4.442651    5.693732  0.43837211 3.401197
## 227 -1.8325815 -3.649659 -3.0000000  4.077537    4.969813  0.00000000 4.127134
## 228 -2.6310892 -3.963316 -1.4299717  4.553877    5.429346 -0.63330256 3.806662
## 229 -2.4534080 -3.270169 -0.4077171  4.248495    4.990433 -0.21752413 3.850148
## 230 -2.2072749 -3.123566 -2.7140452  4.691348    4.499810  0.43837211 4.276666
## 231 -3.3524072 -3.912023 -4.4888568  4.595120    4.948760  0.00000000 4.330733
## 232 -2.5510465 -4.135167 -5.3521462  4.143135    4.934474  0.00000000 4.077537
## 233 -2.6450754 -3.688879 -5.3029674  4.043051    5.030438 -0.24425708 4.127134
## 234 -2.1202635 -3.352407 -3.3452248  4.521789    4.890349 -0.61229604 3.828641
## 236 -2.5639499 -3.575551 -4.0302269  4.382027    5.488938 -0.65480247 3.295837
## 237 -2.3644605 -3.688879 -4.0302269  4.574711    5.153292 -0.09565753 4.060443
## 239 -3.3813948 -4.199705 -4.0302269  4.394449    4.584967  0.09396047 3.806662
## 240 -2.6310892 -4.017384 -4.0302269  4.442651    4.795791 -0.42552800 3.784190
## 241 -2.3126354 -3.611918 -3.7735027  4.859812    5.117994  0.00000000 3.258097
## 242 -2.7030627 -3.506558 -1.7796447  3.828641    4.330733  0.25230466 4.208969
## 243 -3.2441936 -3.772261 -4.6299354  5.075174    4.787492  0.49054798 4.219508
## 244 -2.1202635 -3.079114 -3.7735027  5.225747    5.003946  0.85893499 4.060443
## 245 -3.4737681 -4.342806 -6.4515425  3.871201    4.317488 -0.16654597 3.850148
## 246 -2.6310892 -3.324236 -2.7140452  4.510860    5.105945  0.25230466 3.988984
## 247 -3.4737681 -3.863233 -4.7806350  4.553877    5.049856 -0.57168558 3.828641
## 249 -2.2072749 -3.863233 -5.4023321  4.820282    6.102559  0.00000000 3.465736
## 250 -2.6310892 -3.611918 -4.5582584  4.234107    5.093750  0.09396047 4.110874
## 251 -3.1700857 -4.017384 -4.6299354  4.553877    4.779123 -0.55204550 3.737670
## 253 -2.9374634 -3.863233 -2.7140452  4.962845    5.135798  0.58384004 4.644391
## 254 -1.6094379 -3.036554 -2.3643578  5.411646    5.739793  0.09396047 4.025352
## 255 -2.1202635 -3.270169 -2.2640143  4.875197    5.170484  0.09396047 4.060443
## 256 -3.0365543 -4.342806 -6.3770782  4.859812    5.262690 -0.59176325 3.367296
## 257 -2.4079456 -3.863233 -5.7266741  4.543295    4.700480 -0.37645673 3.737670
## 258 -2.4191189 -3.270169 -3.1639778  4.553877    5.549076  0.09396047 4.317488
## 260 -2.1202635 -3.611918 -6.6066297  4.204693    4.844187  0.09396047 3.713572
## 261 -3.2968374 -4.342806 -7.1287093  4.406719    4.948760 -0.07336643 3.713572
## 262 -2.5510465 -4.422849 -5.7266741  4.077537    4.672829 -0.53282641 3.713572
## 263 -2.2072749 -3.772261 -1.2879797  3.871201    5.645447 -0.15428707 3.871201
## 264 -2.0402208 -3.442019 -2.0824829  5.707110    5.267858  0.17742506 4.382027
## 265 -2.3126354 -3.863233 -6.0977633  3.433987    5.214936  0.09396047 3.784190
## 267 -2.2072749 -3.816713 -2.0000000  4.882802    5.739793  0.66516665 4.234107
## 268 -2.5510465 -3.296837 -3.5470020  4.465908    5.525453 -0.47754210 3.555348
## 269 -3.1700857 -4.342806 -5.5058663  4.624973    4.852030 -0.99084860 3.737670
## 270 -2.5639499 -4.135167 -1.8490018  4.025352    5.945421 -0.07336643 3.737670
## 271 -2.3227878 -3.352407 -2.2640143  4.488636    5.616771 -0.02026405 5.170484
## 272 -2.2072749 -4.605170 -4.4216130  4.564348    4.962845 -0.10704332 3.218876
## 273 -2.5902672 -3.506558 -3.0000000  4.043051    5.247024  0.32004747 4.110874
## 274 -2.1202635 -3.963316 -5.6696499  3.970292    5.147494 -0.03059880 3.555348
## 275 -1.9661129 -3.540459 -4.0302269  4.442651    5.370638  0.17742506 3.433987
## 277 -2.3025851 -3.611918 -1.7139068  4.143135    5.010635  0.53887915 4.110874
## 278 -2.3025851 -3.772261 -3.1639778  4.663439    5.225747 -0.10704332 3.871201
## 279 -4.4228486 -4.017384 -3.1639778  4.753590    4.976734 -0.13031621 3.091042
## 281 -2.7030627 -3.170086 -3.3452248  4.276666    5.521461  0.70214496 4.499810
## 282 -2.7806209 -3.194183 -3.7735027  3.828641    4.644391  0.38177502 3.931826
## 283 -2.0402208 -3.473768 -4.0302269  4.477337    5.679253  0.43837211 3.850148
## 287 -2.4191189 -3.218876 -3.7735027  4.454347    5.886104  0.09396047 3.610918
## 289 -3.2968374 -4.342806 -5.3029674  3.951244    4.912655 -0.23078200 4.158883
## 290 -3.0159350 -3.649659 -3.5470020  3.610918    5.147494  0.09396047 4.510860
## 291 -0.9416085 -2.830218 -0.9814240  4.356709    5.472271  0.70214496 3.850148
## 292 -1.8325815 -3.381395 -4.0302269  4.779123    5.556828  0.32004747 3.610918
## 294 -3.2968374 -3.963316 -6.0977633  4.553877    5.257495 -0.55204550 4.094345
## 297 -2.4889147 -4.199705 -4.3887656  4.564348    4.663439 -0.16654597 3.912023
## 298 -2.6310892 -3.963316 -5.5058663  3.951244    4.532599  0.00000000 4.510860
## 299 -2.9374634 -3.772261 -5.1156807  4.927254    5.560682  0.09396047 3.465736
## 301 -2.7181005 -4.268698 -4.4549722  4.356709    4.875197 -0.17899381 3.828641
## 302 -2.7488722 -3.863233 -4.0302269  4.343805    4.343805 -0.63330256 3.526361
## 303 -2.7333680 -4.268698 -5.2547625  4.442651    5.288267 -0.20447735 4.127134
## 304 -1.9661129 -3.079114 -3.0000000  5.111988    6.304449  0.62582535 4.304065
## 305 -2.1202635 -3.540459 -3.7735027  4.682131    5.662960  0.73700033 4.477337
## 306 -1.6094379 -3.729701 -4.4216130  4.595120    5.267858  0.38177502 4.219508
## 307 -2.2072749 -3.324236 -3.5470020  4.779123    6.129050  0.85893499 4.110874
## 308 -2.3227878 -3.816713 -6.9442719  4.595120    5.135798  0.09396047 3.637586
## 311 -3.0365543 -3.649659 -3.7735027  4.770685    4.828314 -0.11859478 4.174387
## 312 -1.9661129 -3.296837 -3.7735027  4.912655    5.164786  0.32004747 4.025352
## 313 -2.8647040 -4.074542 -5.0710678  4.317488    5.288267  0.17742506 4.127134
## 314 -2.7333680 -3.863233 -6.5280287  4.709530    5.293305 -0.17899381 3.555348
## 315 -3.4420194 -3.688879 -3.7735027  4.418841    5.093750 -0.09565753 3.931826
## 316 -3.0791139 -3.688879 -5.1611487  4.290459    5.411646  0.25230466 3.784190
## 317 -2.2072749 -3.381395 -4.9421013  4.653960    5.081404 -0.04107298 3.295837
## 320 -2.2072749 -3.381395 -4.6299354  4.465908    4.304065 -0.28605071 3.784190
## 321 -3.1941832 -4.199705 -4.6666667  3.784190    4.454347 -0.10704332 4.043051
## 322 -2.2072749 -3.649659 -0.8867513  4.912655    5.393628  0.49054798 4.454347
## 323 -2.0402208 -3.540459 -3.5470020  5.135798    5.236442  0.32004747 4.158883
## 324 -2.6882476 -3.963316 -6.3045480  4.875197    5.170484  0.25230466 3.663562
## 325 -2.3025851 -3.352407 -4.3245553  4.488636    4.941642  0.85893499 4.234107
## 326 -3.0791139 -3.352407 -3.7735027  4.510860    5.288267  0.09396047 3.135494
## 327 -1.6094379 -3.381395 -0.7472113  4.890349    5.236442  0.53887915 4.304065
## 329 -2.1202635 -3.506558 -4.9843030  4.465908    5.416100  0.17742506 4.330733
## 330 -2.4304185 -3.352407 -1.2025631  4.744932    4.488636  0.09396047 4.317488
## 331 -2.9957323 -3.912023 -6.1649658  4.304065    4.762174 -0.09565753 3.610918
## 332 -2.5510465 -3.816713 -3.7735027  4.189655    4.859812  0.17742506 4.276666
## 333 -1.8971200 -3.772261 -5.5058663  4.465908    6.102559 -0.53282641 3.583519
##     Pancreatic_polypeptide Protein_S Pulmonary_and_Activation_Regulat
## 1               0.57878085 -1.784998                       -0.8439701
## 2               0.33647224 -2.463991                       -2.3025851
## 3              -0.89159812 -2.259135                       -1.6607312
## 5               0.26236426 -1.659842                       -0.5621189
## 6              -0.47803580 -2.357788                       -1.1711830
## 7              -0.59783700 -2.259135                       -1.5606477
## 8              -0.31471074 -2.081112                       -1.1086626
## 9              -0.52763274 -2.167156                       -1.6607312
## 11             -1.27296568 -2.081112                       -1.2039728
## 12              1.16315081 -2.259135                       -0.8439701
## 14             -0.37106368 -2.081112                       -1.0498221
## 16              0.33647224 -2.463991                       -1.0216512
## 17              0.78845736 -2.000377                       -1.0498221
## 18             -0.59783700 -2.703458                       -2.2072749
## 19              0.18232156 -2.357788                       -0.5798185
## 20             -0.26136476 -1.852753                       -1.1711830
## 21              0.69314718 -2.259135                       -1.1394343
## 22             -1.23787436 -2.357788                       -1.9661129
## 23             -0.82098055 -2.578792                       -2.0402208
## 24             -0.04082199 -2.357788                       -1.3862944
## 25             -1.27296568 -2.578792                       -2.1202635
## 26              0.09531018 -2.357788                       -1.8971200
## 28              0.40546511 -2.000377                       -1.7719568
## 29              0.09531018 -2.839536                       -1.8325815
## 30              0.09531018 -2.703458                       -1.8971200
## 31              0.33647224 -1.852753                       -1.6094379
## 34              0.91629073 -2.167156                       -1.2039728
## 35              0.53062825 -2.000377                       -0.9942523
## 36             -0.75502258 -1.720797                       -0.7985077
## 37             -0.10536052 -2.463991                       -1.8971200
## 38             -0.63487827 -2.167156                       -1.5141277
## 39             -0.71334989 -2.463991                       -2.2072749
## 40             -0.51082562 -2.167156                       -2.1202635
## 41              0.18232156 -2.000377                       -1.1394343
## 42             -1.27296568 -2.259135                       -0.8915981
## 43              0.00000000 -2.357788                       -0.9942523
## 44              0.47000363 -2.259135                       -1.8325815
## 45              0.64185389 -1.784998                       -1.0498221
## 46             -0.26136476 -2.081112                       -1.2729657
## 47              0.18232156 -2.463991                       -1.2039728
## 48              0.69314718 -2.000377                       -1.8325815
## 50             -0.41551544 -2.081112                       -1.3862944
## 51             -0.96758403 -2.357788                       -2.2072749
## 53             -0.34249031 -2.357788                       -1.2378744
## 55              0.26236426 -2.357788                       -1.9661129
## 56             -0.46203546 -1.852753                       -1.6607312
## 57              1.06471074 -1.924411                       -0.2744368
## 59             -0.32850407 -2.000377                       -1.1711830
## 60              0.95551145 -3.338046                       -1.5606477
## 61             -0.09431068 -2.703458                       -1.3862944
## 62             -0.73396918 -2.703458                       -1.9661129
## 63              0.91629073 -2.578792                       -1.1394343
## 64              0.83290912 -2.000377                       -0.6161861
## 65              0.83290912 -2.463991                       -1.9661129
## 67             -0.32850407 -2.357788                       -0.6539265
## 68              0.26236426 -2.167156                       -0.3011051
## 69             -0.16251893 -3.154089                       -1.6094379
## 70              0.26236426 -2.463991                       -1.8971200
## 71              0.40546511 -2.000377                       -1.4696760
## 72             -0.59783700 -1.395242                       -0.5447272
## 73              0.26236426 -1.924411                       -1.5141277
## 74              0.53062825 -2.357788                       -1.6094379
## 75              0.69314718 -1.924411                       -0.7765288
## 76              1.02961942 -1.720797                       -1.4696760
## 77              0.83290912 -2.167156                       -1.5606477
## 78              1.52605630 -1.262002                       -0.7985077
## 80              0.33647224 -2.259135                       -1.5141277
## 81             -0.63487827 -2.259135                       -1.2378744
## 82              0.09531018 -2.578792                       -2.2072749
## 83             -0.40047757 -2.081112                       -0.4942963
## 84             -0.63487827 -2.357788                       -1.3862944
## 85             -0.32850407 -2.000377                       -0.9416085
## 86              1.93152141 -1.546611                       -1.2039728
## 88              0.47000363 -1.720797                       -0.7550226
## 90             -0.40047757 -3.154089                       -0.8439701
## 93              0.18232156 -2.000377                       -1.5606477
## 94              1.25276297 -1.220997                       -0.5108256
## 95              0.47000363 -2.167156                       -1.9661129
## 96             -0.79850770 -2.357788                       -1.7719568
## 97             -0.67334455 -2.578792                       -2.5010360
## 98             -1.02165125 -2.703458                       -1.8971200
## 99              0.91629073 -2.259135                       -1.2729657
## 100            -0.23572233 -2.357788                       -1.7719568
## 103            -0.19845094 -2.000377                       -1.6607312
## 104             0.26236426 -2.259135                       -1.6607312
## 105             0.26236426 -2.167156                       -2.5133061
## 107            -0.16251893 -2.463991                       -1.2729657
## 108            -0.03045921 -2.000377                       -1.8325815
## 109            -0.71334989 -3.338046                       -2.1202635
## 110            -2.12026354 -2.988944                       -1.6094379
## 111            -0.40047757 -2.357788                       -2.0402208
## 112             1.64865863 -1.852753                       -0.6161861
## 113             0.69314718 -1.720797                       -1.3862944
## 114            -0.73396918 -2.703458                       -1.5141277
## 115             1.09861229 -2.000377                       -0.7133499
## 117             0.18232156 -2.357788                       -2.0402208
## 118            -1.27296568 -2.259135                       -1.7719568
## 121             0.18232156 -2.081112                       -1.2039728
## 123            -0.23572233 -2.578792                       -1.6094379
## 124             0.09531018 -2.167156                       -1.7147984
## 126            -0.52763274 -2.463991                       -1.6094379
## 128             0.47000363 -1.720797                       -1.5606477
## 129            -0.75502258 -2.578792                       -1.3470736
## 130             0.58778666 -2.000377                       -1.3093333
## 131             0.78845736 -2.578792                       -1.3862944
## 132            -0.31471074 -2.167156                       -1.5141277
## 133            -0.52763274 -1.924411                       -1.7147984
## 134             1.25276297 -2.000377                       -0.7985077
## 135            -0.31471074 -2.357788                       -1.7719568
## 136             0.69314718 -2.578792                       -1.7719568
## 137            -0.34249031 -2.703458                       -1.8325815
## 139            -0.47803580 -2.839536                       -1.0498221
## 140             1.19392247 -2.259135                       -1.9661129
## 141             0.18232156 -2.081112                       -1.8971200
## 143             0.99325177 -2.081112                       -1.1086626
## 144             0.58778666 -2.578792                       -1.4696760
## 145            -0.86750057 -2.703458                       -2.1202635
## 146             1.33500107 -1.852753                       -1.3862944
## 147             0.78845736 -2.081112                       -1.9661129
## 148             0.00000000 -1.852753                       -0.5447272
## 149            -1.10866262 -2.703458                       -1.3093333
## 152             1.13140211 -2.167156                       -0.9675840
## 153             0.64185389 -1.443483                       -0.8209806
## 154            -0.71334989 -2.578792                       -1.6607312
## 155            -0.86750057 -2.259135                       -1.6607312
## 156            -0.26136476 -1.924411                       -1.2729657
## 157             0.26236426 -2.167156                       -1.5141277
## 158            -0.96758403 -2.578792                       -2.0402208
## 159             0.18232156 -2.259135                       -1.3862944
## 160             0.33647224 -2.081112                       -1.8971200
## 161            -1.27296568 -1.924411                       -1.0216512
## 162            -0.40047757 -2.357788                       -1.8325815
## 163            -0.96758403 -2.703458                       -2.3025851
## 165            -1.07880966 -2.463991                       -2.3025851
## 166            -0.23572233 -2.578792                       -1.7719568
## 167            -1.34707365 -2.259135                       -1.3470736
## 168            -0.82098055 -2.357788                       -1.2039728
## 169            -0.47803580 -2.578792                       -1.3470736
## 170            -0.61618614 -2.259135                       -1.5606477
## 171            -0.09431068 -1.720797                       -1.0498221
## 172            -0.16251893 -2.578792                       -1.7719568
## 174             0.83290912 -1.659842                       -0.7339692
## 175             0.33647224 -1.852753                       -1.5141277
## 176             0.64185389 -2.463991                       -0.7985077
## 177            -0.16251893 -2.259135                       -1.5606477
## 178            -0.99425227 -2.703458                       -1.1711830
## 179            -0.34249031 -1.493883                       -1.3862944
## 180             0.58194114 -2.167156                       -1.2729657
## 181            -0.47803580 -2.703458                       -1.0216512
## 182            -0.09431068 -2.357788                       -1.5141277
## 183            -1.42711636 -2.000377                       -2.4304185
## 184            -0.31471074 -2.259135                       -1.2729657
## 185             0.78845736 -2.081112                       -0.7133499
## 186             0.64185389 -2.463991                       -1.6607312
## 189             1.56861592 -2.578792                       -2.0402208
## 190            -0.40047757 -2.167156                       -0.9942523
## 191            -1.96611286 -2.357788                       -1.7719568
## 192             1.30833282 -2.081112                       -1.9661129
## 193             0.87546874 -1.852753                       -1.3862944
## 194            -0.52763274 -2.357788                       -1.5141277
## 195            -0.46203546 -2.167156                       -1.8325815
## 197            -0.23572233 -2.000377                       -1.5606477
## 198            -1.23787436 -2.578792                       -1.8971200
## 200            -0.49429632 -2.703458                       -2.3538784
## 201            -0.23572233 -2.357788                       -0.8915981
## 202            -0.86750057 -2.988944                       -1.6094379
## 205            -0.41551544 -2.167156                       -1.6607312
## 208             0.00000000 -2.259135                       -1.5141277
## 210             0.47000363 -2.167156                       -1.8325815
## 212             1.93152141 -2.578792                       -2.2072749
## 213             1.19392247 -2.081112                       -1.5141277
## 214             0.87546874 -2.081112                       -1.1394343
## 215             0.47000363 -2.463991                       -1.2378744
## 216            -0.31471074 -2.167156                       -1.3470736
## 218            -0.01005034 -2.000377                       -0.8675006
## 219             0.87546874 -2.463991                       -1.3862944
## 220            -0.37106368 -2.463991                       -1.4271164
## 223             0.91629073 -2.463991                       -1.4696760
## 224            -0.73396918 -2.578792                       -1.9661129
## 225            -0.49429632 -2.259135                       -2.3859667
## 226             0.18232156 -2.357788                       -1.3862944
## 227             1.19392247 -1.659842                       -1.7719568
## 228            -0.31471074 -2.463991                       -2.0402208
## 229            -0.73396918 -2.463991                       -1.8325815
## 230             1.62924054 -1.924411                       -0.7133499
## 231            -0.67334455 -2.357788                       -1.7719568
## 232            -0.40047757 -2.357788                       -1.8325815
## 233            -0.63487827 -2.703458                       -1.6094379
## 234             0.74193734 -1.720797                       -2.0402208
## 236            -0.94160854 -2.703458                       -2.2072749
## 237             1.09861229 -1.924411                       -1.4271164
## 239            -0.16251893 -2.839536                       -1.4271164
## 240             0.18232156 -2.463991                       -1.4696760
## 241            -0.31471074 -2.357788                       -2.1202635
## 242             0.99325177 -1.262002                       -1.8325815
## 243            -0.02020271 -2.357788                       -1.0498221
## 244             0.74193734 -2.081112                       -1.5141277
## 245            -0.40047757 -2.988944                       -1.0788097
## 246             0.58778666 -1.924411                       -1.1086626
## 247            -0.16251893 -2.578792                       -1.5606477
## 249            -1.07880966 -2.259135                       -1.7147984
## 250            -0.82098055 -2.463991                       -1.7147984
## 251             0.09531018 -2.259135                       -1.7719568
## 253             0.33647224 -2.000377                       -0.8915981
## 254            -0.59783700 -1.546611                       -1.3862944
## 255            -0.63487827 -1.852753                       -1.4271164
## 256             0.53062825 -2.578792                       -1.9661129
## 257            -0.09431068 -2.463991                       -1.4696760
## 258             0.33647224 -1.784998                       -0.6539265
## 260            -0.69314718 -2.081112                       -1.1711830
## 261             0.00000000 -2.703458                       -1.6607312
## 262            -0.69314718 -2.839536                       -2.2072749
## 263            -1.13943428 -1.852753                       -2.0402208
## 264             0.60449978 -1.784998                       -1.0788097
## 265             0.91629073 -2.463991                       -1.7147984
## 267             0.83290912 -1.852753                       -1.7147984
## 268             0.40546511 -2.357788                       -1.6094379
## 269            -1.42711636 -2.578792                       -1.3470736
## 270            -0.47803580 -2.357788                       -1.7147984
## 271            -0.23572233 -1.852753                       -0.7550226
## 272            -0.23572233 -2.259135                       -1.5606477
## 273             0.09531018 -2.000377                       -1.1086626
## 274            -1.13943428 -2.463991                       -1.8325815
## 275            -0.49429632 -2.357788                       -1.6094379
## 277             0.53062825 -2.357788                       -1.4271164
## 278             0.18232156 -2.081112                       -1.7147984
## 279            -0.94160854 -2.703458                       -1.6094379
## 281             0.18232156 -2.000377                       -1.3862944
## 282             0.33647224 -2.081112                       -1.5141277
## 283             0.58778666 -1.852753                       -1.7719568
## 287             0.26236426 -2.259135                       -2.2072749
## 289            -0.59783700 -2.703458                       -1.9661129
## 290             0.33647224 -2.463991                       -1.8971200
## 291            -0.10536052 -2.259135                       -0.7133499
## 292            -0.23572233 -1.546611                       -1.4271164
## 294            -1.02165125 -2.703458                       -1.0216512
## 297             0.74193734 -2.167156                       -1.7147984
## 298             0.09531018 -2.167156                       -1.3862944
## 299            -0.94160854 -2.000377                       -1.6607312
## 301            -0.41551544 -2.357788                       -1.8971200
## 302            -0.86750057 -2.703458                       -1.3862944
## 303            -0.16251893 -2.081112                       -1.2039728
## 304             0.18232156 -2.167156                       -1.9661129
## 305             0.09531018 -1.784998                       -1.5141277
## 306             0.18232156 -1.659842                       -0.5447272
## 307             0.99325177 -1.924411                       -1.4696760
## 308             0.99325177 -2.259135                       -1.7147984
## 311            -0.41551544 -2.000377                       -1.1394343
## 312             0.78845736 -2.167156                       -1.3470736
## 313             0.00000000 -2.259135                       -1.9661129
## 314            -0.96758403 -2.578792                       -2.3434071
## 315            -0.16251893 -2.167156                       -1.2729657
## 316             0.09531018 -2.463991                       -2.1202635
## 317            -0.34249031 -2.259135                       -1.7719568
## 320             0.40546511 -1.659842                       -1.0788097
## 321             0.26236426 -2.357788                       -1.8971200
## 322            -0.52763274 -1.546611                       -0.9942523
## 323             0.53062825 -2.259135                       -1.2729657
## 324             0.58778666 -2.357788                       -1.8971200
## 325             0.78845736 -2.167156                       -1.7147984
## 326            -0.04082199 -2.463991                       -1.5141277
## 327             0.78845736 -1.601860                       -0.8915981
## 329             0.33647224 -2.357788                       -1.4271164
## 330             0.78845736 -1.720797                       -1.5141277
## 331            -0.96758403 -2.578792                       -1.7147984
## 332            -1.34707365 -2.259135                       -1.0216512
## 333            -0.52763274 -2.167156                       -1.8971200
##       Resistin     S100b Sortilin    TIMP_1     TNF_RII    TRAIL_R3
## 1   -16.475315 1.5618560 4.908629 15.204651 -0.06187540 -0.18290044
## 2   -16.025283 1.7566212 5.478731 11.266499 -0.32850407 -0.50074709
## 3   -16.475315 1.4357282 3.810182 12.282857 -0.41551544 -0.92403445
## 5   -11.092838 1.3012972 3.402176 13.748016 -0.34249031 -0.85825911
## 6   -11.291369 1.0546073 2.978813 11.266499 -0.94160854 -0.73800921
## 7   -20.660678 1.3012972 4.037285 12.422205 -0.77652879 -0.62997381
## 8    -6.048172 1.0546073 2.665456 14.492423 -0.91629073 -0.56347899
## 9   -28.434991 1.0011977 2.141223 10.000000 -0.94160854 -0.75712204
## 11  -11.291369 1.7566212 4.802628 10.489996 -0.51082562 -0.37116408
## 12  -14.824999 1.5206598 4.093428 10.961481 -0.71334989 -0.68264012
## 14  -16.954608 1.5206598 3.752748 13.491933 -0.61618614 -0.54746226
## 16  -15.202379 1.1570961 4.479850 12.696938 -0.28768207 -0.48559774
## 17  -10.901667 1.5206598 4.093428 10.961481 -0.69314718  0.00000000
## 18  -24.395099 1.1065417 2.916923 10.328828 -0.77652879 -0.75712204
## 19  -16.475315 0.5751964 2.341451 13.620499 -0.79850770 -0.41274719
## 20  -10.717434 1.5206598 2.728930 13.748016 -0.75502258 -0.85825911
## 21  -14.824999 0.7704814 2.601557 10.165525 -0.65392647  0.26936976
## 22  -32.139553 1.1570961 4.315608 10.961481 -0.04082199 -0.20634242
## 23  -16.954608 1.7566212 3.040333  9.661904 -0.59783700 -0.56347899
## 24  -22.351393 1.5618560 6.225224 11.266499 -0.43078292 -0.25465110
## 25  -23.322142 1.3471128 3.695039  9.832160 -0.82098055 -0.70078093
## 26  -13.807280 1.5206598 4.855724 10.649111 -0.43078292 -0.37116408
## 28  -19.235033 1.3012972 4.802628 11.416408 -0.22314355 -0.70078093
## 29  -24.395099 0.8309909 2.791992 10.165525 -1.02165125 -0.83723396
## 30  -22.351393 1.0011977 3.461346  9.313708 -0.89159812 -0.94693458
## 31  -18.014017 1.2063562 2.978813 13.099669 -0.73396918 -0.62997381
## 34  -18.014017 0.8895156 2.916923 11.856406 -0.65392647 -0.13734056
## 35  -15.202379 1.4357282 3.695039 10.328828 -0.89159812 -0.64724718
## 36  -14.467762 1.3012972 3.342694 12.696938 -0.67334455 -0.68264012
## 37  -16.025283 1.4786312 4.802628 10.806248 -0.30110509 -0.34425042
## 38  -26.925298 1.0011977 3.520211 12.000000 -0.65392647 -0.56347899
## 39  -23.322142 1.5618560 5.325310 12.142136 -0.46203546 -0.57973042
## 40  -18.601960 1.0546073 3.101492 12.966630 -0.44628710 -0.47064906
## 41   -8.576675 1.3919052 3.924249 13.748016 -0.75502258 -0.47064906
## 42  -16.954608 0.8309909 3.637051 10.961481 -0.69314718 -0.73800921
## 43  -25.588488 1.1065417 3.282892 10.328828 -0.86750057 -0.48559774
## 44   -9.592564 1.1570961 4.093428 13.748016 -0.24846136 -0.64724718
## 45  -12.782746 1.5618560 3.461346 12.142136 -0.02020271 -0.21823750
## 46  -16.954608 1.3471128 4.093428 13.099669 -0.38566248 -0.57973042
## 47  -17.466301 0.5047530 2.472433 10.000000 -0.79850770 -0.64724718
## 48  -18.014017 1.6808260 5.325310 11.856406 -0.27443685 -0.13734056
## 50  -10.202587 1.1065417 5.170380 11.266499 -0.54472718  0.00000000
## 51  -11.092838 1.1570961 3.578777 10.649111 -0.38566248 -0.73800921
## 53   -3.316155 1.0546073 3.342694 13.620499 -0.71334989 -0.53167272
## 55  -18.601960 1.2543998 3.520211 11.266499 -0.63487827 -0.47064906
## 56  -13.807280 1.0011977 3.867347 14.370706 -0.63487827 -0.37116408
## 57  -16.025283 0.9462067 4.370576 14.613248 -0.31471074 -0.27956244
## 59  -13.807280 1.7935512 3.867347 14.000000 -0.30110509 -0.56347899
## 60  -25.588488 0.9462067 2.275226 12.560220 -0.59783700 -0.53167272
## 61  -18.601960 1.0546073 2.791992 10.165525 -1.04982212 -0.79641472
## 62  -24.395099 1.2543998 2.472433  9.661904 -1.20397280 -1.09654116
## 63  -18.601960 1.3471128 3.402176 11.564660 -0.27443685 -0.33102365
## 64  -12.168957 1.8656036 4.534163 13.099669 -0.44628710 -0.44133043
## 65  -20.660678 1.3919052 4.425322 10.489996 -0.73396918 -0.68264012
## 67  -25.588488 1.3919052 4.425322  9.832160 -0.18632958 -0.56347899
## 68  -20.660678 1.3012972 3.637051 12.560220 -0.51082562 -0.31794508
## 69  -16.475315 0.5751964 2.407182  9.489125 -1.04982212 -1.09654116
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## 71  -18.014017 1.1570961 3.867347 12.000000 -0.46203546 -0.61296931
## 72  -11.712400 1.4786312 3.980894 16.439089  0.33647224 -0.21823750
## 73   -9.737717 1.4786312 3.924249 12.560220 -0.03045921 -0.30501103
## 74  -15.601770 1.0546073 1.866476 10.489996 -1.34707365 -0.90163769
## 75  -21.468210 1.4786312 2.728930 15.320508 -0.67334455 -0.77658561
## 76   -3.509845 1.7190552 5.427755 14.970563  0.00000000 -0.30501103
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## 78  -12.931637 1.2543998 4.695848 14.970563 -0.06187540 -0.10425819
## 80  -18.601960 1.5206598 4.315608 10.489996 -0.65392647 -0.47064906
## 81  -25.588488 1.1065417 4.370576 10.806248 -0.59783700 -0.62997381
## 82  -20.660678 1.8656036 4.315608 11.266499 -0.44628710 -0.68264012
## 83  -13.807280 1.2543998 3.867347 11.266499 -0.82098055 -0.44133043
## 84  -20.660678 1.2543998 3.637051 10.649111 -0.57981850 -0.54746226
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## 86   -9.737717 1.5618560 4.479850 14.124515 -0.26136476 -0.30501103
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## 90  -26.925298 0.3540404 1.653813  8.954451 -1.38629436 -0.81662520
## 93  -11.935945 1.3012972 2.978813 13.620499 -0.24846136 -0.44133043
## 94   -9.887603 1.7190552 4.204987 18.880613  0.47000363  0.00000000
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## 96  -18.601960 1.3919052 4.749337 11.416408 -0.63487827 -0.54746226
## 97  -19.918999 0.9462067 4.425322 10.328828 -0.51082562 -0.71923319
## 98  -22.351393 0.7704814 3.040333  9.489125 -1.10866262 -0.92403445
## 99  -11.935945 1.2543998 3.402176 14.733201 -0.19845094 -0.57973042
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## 135 -14.129014 1.0546073 3.695039 12.000000 -0.52763274 -0.53167272
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## 139 -20.660678 1.0546073 3.752748 10.165525 -0.86750057 -0.47064906
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## 146 -13.209714 1.2063562 3.695039 13.099669 -0.17435339 -0.53167272
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## 159 -20.460441 1.1065417 3.637051  9.661904 -0.91629073 -0.75712204
## 160  -8.047964 1.7935512 6.225224 12.142136 -0.26136476 -0.59622443
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## 170 -15.601770 1.5618560 4.315608  9.832160 -0.75502258 -0.47064906
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## 178 -19.235033 0.6427959 2.791992  8.392305 -1.30933332 -0.51610326
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## 208 -26.925298 1.1570961 4.315608 12.282857 -0.54472718 -0.62997381
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## 228 -13.501240 0.8309909 3.342694  9.661904 -0.94160854 -0.71923319
## 229 -25.588488 1.0011977 3.402176  9.489125 -1.07880966 -0.57973042
## 230 -11.935945 0.8309909 2.791992 12.282857 -0.26136476 -0.42694948
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## 232 -26.925298 0.9462067 4.149327 11.856406 -0.73396918 -0.42694948
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## 239 -18.601960 0.1873999 1.725381  9.661904 -0.99425227 -0.77658561
## 240 -14.129014 0.9462067 3.402176 10.165525 -0.96758403 -0.83723396
## 241 -21.468210 1.1065417 4.749337 10.000000 -0.65392647 -0.54746226
## 242  -9.592564 1.4357282 2.728930 12.422205 -0.44628710 -0.35762924
## 243 -21.468210 1.1570961 4.315608 11.711309 -1.07880966 -0.75712204
## 244 -14.824999 1.0546073 3.461346 12.000000 -0.30110509 -0.41274719
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## 247 -17.466301 0.7704814 3.222763  9.832160 -1.07880966 -0.70078093
## 249 -16.954608 1.8298706 5.731246 11.114877 -0.03045921 -0.15990607
## 250 -17.466301 1.6022588 3.461346 11.856406 -0.51082562 -0.50074709
## 251 -24.395099 1.1065417 2.854653  9.832160 -0.82098055 -0.68264012
## 253 -16.025283 1.3471128 3.810182 15.888544 -0.41551544 -0.42694948
## 254 -12.931637 1.7935512 4.425322 12.966630  0.26236426  0.18568645
## 255 -18.601960 1.3471128 4.802628 12.832397 -0.22314355  0.00000000
## 256 -25.588488 1.1570961 3.980894  8.954451 -1.04982212 -0.64724718
## 257 -25.588488 1.0546073 3.342694  9.135529 -1.13943428 -0.64724718
## 258  -4.873381 1.6022588 4.370576 13.099669 -0.34249031 -0.34425042
## 260 -23.322142 1.3471128 4.425322 12.142136 -0.69314718 -0.41274719
## 261 -16.954608 1.0011977 3.637051  8.954451 -0.91629073 -0.71923319
## 262 -23.322142 1.0011977 3.101492  9.135529 -1.10866262 -0.90163769
## 263 -15.202379 1.1570961 3.980894 14.492423 -0.47803580 -0.47064906
## 264 -11.291369 1.5618560 4.479850 14.248077 -0.38566248 -0.06149412
## 265 -23.322142 0.9462067 3.101492 12.696938 -0.75502258 -0.81662520
## 267 -10.539746 1.8298706 5.013876 13.099669 -0.02020271 -0.18290044
## 268 -15.601770 1.3919052 4.479850 10.165525 -0.34249031 -0.44133043
## 269 -28.434991 0.9462067 2.472433  9.489125 -0.75502258 -0.34425042
## 270 -14.824999 0.7704814 3.578777 10.649111 -0.19845094 -0.41274719
## 271 -12.666051 1.4786312 4.093428 17.899749 -0.17435339 -0.20634242
## 272 -15.601770 1.4357282 3.980894 10.328828 -0.77652879 -0.53167272
## 273 -12.666051 1.2543998 3.980894 12.560220 -0.22314355 -0.38485910
## 274 -28.434991 0.9462067 3.461346 11.416408 -0.57981850 -0.38485910
## 275 -28.434991 1.7935512 4.695848 13.231546 -0.26136476 -0.85825911
## 277 -14.129014 1.2543998 4.749337 12.142136 -0.57981850 -0.48559774
## 278 -14.467762 0.9462067 3.637051 12.560220 -0.41551544 -0.53167272
## 279 -16.954608 1.4357282 3.924249 10.328828 -0.61618614 -0.57973042
## 281  -3.723928 1.3919052 5.170380 12.282857 -0.44628710 -0.21823750
## 282 -20.660678 1.1570961 2.791992 13.491933 -0.82098055 -0.73800921
## 283  -7.247686 1.4786312 5.170380 15.088007 -0.10536052 -0.29221795
## 287 -18.014017 1.3919052 4.370576 11.266499 -0.40047757 -0.42694948
## 289 -19.235033 0.7078153 2.665456  9.489125 -1.07880966 -0.92403445
## 290 -16.025283 1.0011977 2.728930 11.114877 -0.71334989 -0.42694948
## 291 -20.660678 1.1570961 4.204987 14.370706 -0.17435339 -0.35762924
## 292 -26.925298 1.1065417 4.749337 13.362291 -0.26136476 -0.37116408
## 294 -22.293116 1.0011977 2.854653 10.165525 -1.02165125 -0.50074709
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## 298 -22.351393 0.5047530 2.341451 12.282857 -0.96758403 -0.77658561
## 299 -26.925298 0.9462067 3.578777 10.961481 -0.54472718 -0.37116408
## 301 -19.235033 0.8309909 2.916923  9.832160 -0.99425227 -0.71923319
## 302 -19.235033 0.9462067 2.073409  9.489125 -1.66073121 -0.87972006
## 303 -18.014017 1.3012972 3.578777 11.564660 -0.82098055 -0.70078093
## 304 -22.351393 1.9695015 5.478731 11.564660 -0.19845094 -0.29221795
## 305 -16.954608 1.6419042 5.066223 14.970563 -0.40047757 -0.54746226
## 306 -12.412086 1.6419042 4.037285 13.874508 -0.15082289 -0.48559774
## 307 -11.497723 1.9695015 5.118391 16.110770 -0.16251893 -0.21823750
## 308 -13.501240 1.5206598 4.855724 12.142136 -0.56211892 -0.56347899
## 311 -16.954608 1.0546073 3.461346 11.114877 -0.67334455 -0.35762924
## 312 -18.601960 1.4357282 4.425322 12.422205 -0.46203546 -0.21823750
## 313 -19.235033 1.2543998 3.637051 12.000000 -0.82098055 -0.83723396
## 314 -26.925298 0.8895156 4.370576 11.416408 -0.77652879 -0.66479918
## 315 -16.475315 1.3471128 3.924249 12.142136 -0.67334455 -0.56347899
## 316 -26.925298 1.1570961 3.695039 11.711309 -0.52763274 -1.15193183
## 317 -21.468210 1.0546073 3.402176 12.000000 -0.37106368 -0.59622443
## 320 -13.501240 1.0546073 3.282892 11.856406 -0.91629073 -0.75712204
## 321 -14.467762 1.1570961 2.854653 11.114877 -1.02165125 -1.01892829
## 322  -8.930136 1.8656036 4.749337 10.961481 -0.40047757 -0.37116408
## 323 -12.666051 1.0011977 3.222763 12.696938 -0.46203546 -0.31794508
## 324 -16.954608 1.2063562 3.637051 11.416408 -0.71334989 -0.59622443
## 325 -23.322142 0.9462067 3.222763 14.733201 -0.47803580 -0.68264012
## 326 -13.501240 1.3012972 3.637051 11.711309 -0.40047757 -0.42694948
## 327 -14.467762 1.3471128 3.752748 12.142136 -0.27443685 -0.41274719
## 329 -28.434991 0.8895156 4.037285 10.961481 -0.61618614 -0.68264012
## 330 -14.824999 1.2063562 3.402176 10.961481 -0.79850770 -0.77658561
## 331 -20.660678 1.0546073 3.752748 10.165525 -1.17118298 -1.01892829
## 332 -18.601960 0.8895156 3.222763 12.560220 -1.02165125 -0.94693458
## 333 -19.918999 1.9007725 5.273838 11.564660 -0.21072103 -0.38485910
##     Thrombomodulin Thrombopoietin Thymus_Expressed_Chemokine_TECK     VEGF E4
## 1       -1.3405665     -0.1026334                        4.149327 22.03456  1
## 2       -1.6752524     -0.6733501                        3.810182 18.60184  2
## 3       -1.5342758     -0.9229670                        2.791992 17.47619  2
## 5       -1.2107086      0.0976177                        4.534163 20.77860  1
## 6       -1.4516659     -1.0000000                        4.534163 13.19761  2
## 7       -1.6752524     -0.3386752                        3.342694 17.91139  1
## 8       -1.2107086     -0.6583592                        4.037285 13.26878  1
## 9       -1.4130880     -0.8864471                        3.637051 15.77258  1
## 11      -1.5342758     -0.8000000                        4.908629 15.65264  2
## 12      -1.2733760     -0.5577795                        3.637051 17.16420  1
## 14      -1.2733760     -1.0834849                        4.534163 15.95757  2
## 16      -1.3761017     -0.8000000                        4.093428 17.47619  2
## 17      -1.4130880     -0.6885123                        5.273838 13.14977  1
## 18      -2.0376622     -1.0619168                        2.407182 14.00853  2
## 19      -1.7844998     -0.9801961                        4.260413 15.09899  1
## 20      -1.1238408     -1.2254033                        3.810182 17.29317  2
## 21      -1.7280531     -1.1282202                        4.908629 13.72601  2
## 22      -1.5787229     -0.5857864                        3.578777 19.75007  1
## 23      -1.6752524     -1.0834849                        3.810182 14.83572  2
## 24      -1.3405665     -0.7193752                        4.534163 17.17862  1
## 25      -1.5787229     -1.0619168                        2.472433 15.38951  2
## 26      -1.4516659     -0.8000000                        4.149327 16.85569  2
## 28      -1.5787229     -0.8000000                        3.282892 16.42640  1
## 29      -1.6256074     -0.5577795                        3.578777 14.70067  2
## 30      -1.7844998     -0.6435340                        2.407182 15.08048  1
## 31      -1.4130880     -0.4900331                        2.854653 17.09173  1
## 34      -1.2415199     -1.5395654                        4.093428 15.53091  2
## 35      -1.2733760     -0.7038519                        4.093428 14.98724  2
## 36      -1.1238408     -0.4508067                        4.479850 15.72139  1
## 37      -1.5787229     -0.6885123                        4.149327 17.14975  2
## 38      -1.3405665     -0.7038519                        4.093428 15.66988  1
## 39      -1.4516659     -0.7038519                        4.315608 18.65101  1
## 40      -1.3761017     -0.9607695                        1.936058 16.10590  1
## 41      -1.3405665     -0.8000000                        3.637051 14.91184  1
## 42      -1.4516659     -1.1753789                        4.093428 17.34988  2
## 43      -1.6752524     -0.7350889                        3.342694 14.96846  1
## 44      -1.2107086     -0.7038519                        2.791992 18.23746  2
## 45      -1.5342758     -0.7193752                        4.908629 17.09173  1
## 46      -1.4516659     -0.9607695                        4.315608 18.91693  1
## 47      -1.5787229     -1.0202041                        3.867347 15.35377  1
## 48      -1.5787229     -0.3629294                        3.752748 19.83721  1
## 50      -1.1808680     -0.8338096                        4.093428 17.14975  1
## 51      -1.6752524     -0.7510004                        3.810182 19.04716  1
## 53      -1.4516659     -0.7834475                        3.810182 17.76415  1
## 55      -1.5342758     -0.9607695                        2.791992 18.18606  2
## 56      -1.1238408     -0.8864471                        2.601557 16.78059  1
## 57      -1.5787229     -0.4637709                        6.225224 19.62899  1
## 59      -1.3761017     -1.0202041                        3.101492 16.05675  2
## 60      -1.9461072     -0.7834475                        1.796259 15.77258  1
## 61      -1.8452133     -0.8510875                        2.854653 15.53091  1
## 62      -1.8708654     -0.2111456                        2.854653 16.61303  1
## 63      -1.4130880     -0.8864471                        4.479850 16.70483  1
## 64      -1.2733760     -0.8864471                        4.479850 15.75555  2
## 65      -1.7280531     -0.9607695                        3.810182 16.42640  1
## 67      -1.4130880     -1.1753789                        4.855724 17.44828  2
## 68      -1.2733760     -0.5303062                        6.225224 18.14732  1
## 69      -1.9248483     -0.6733501                        2.854653 14.70067  1
## 70      -1.5342758     -0.8510875                        2.791992 18.25027  1
## 71      -1.4919984     -0.9607695                        3.810182 17.81797  1
## 72      -1.3761017     -0.3147700                        4.749337 19.86969  1
## 73      -1.3063602     -0.8686292                        4.961345 19.29097  1
## 74      -1.6752524     -1.0619168                        3.752748 13.98717  1
## 75      -1.3063602     -0.6288691                        3.810182 15.02467  1
## 76      -1.2733760     -0.8864471                        4.479850 18.14732  2
## 77      -1.2107086     -0.6583592                        5.325310 17.53176  2
## 78      -1.3405665     -0.7193752                        6.225224 20.00922  2
## 80      -1.6256074     -0.7350889                        3.342694 19.12912  1
## 81      -1.3063602     -0.6288691                        3.637051 15.77258  1
## 82      -1.6256074     -0.8000000                        3.282892 16.28369  2
## 83      -1.2415199     -0.6583592                        4.908629 17.50402  1
## 84      -1.3405665     -0.8864471                        3.637051 16.95974  2
## 85      -1.3063602     -0.6288691                        4.479850 20.15734  1
## 86      -1.2415199     -0.2679492                        4.479850 16.73521  1
## 88      -1.3405665     -0.8510875                        4.149327 17.84476  2
## 90      -2.0295903     -0.9045549                        3.040333 14.07222  1
## 93      -1.4919984     -0.8510875                        4.037285 18.09542  2
## 94      -0.8166252     -0.7510004                        5.222195 20.79835  1
## 95      -1.4130880     -0.5577795                        3.752748 15.80652  1
## 96      -1.5787229     -0.8000000                        3.980894 17.61447  2
## 97      -1.5787229     -1.1282202                        4.149327 17.23608  2
## 98      -1.9109957     -0.7350889                        1.508487 16.02382  1
## 99      -1.6256074     -0.6288691                        3.810182 17.62818  1
## 100     -1.3063602     -1.1753789                        3.101492 18.36473  2
## 103     -1.4516659     -0.5717143                        4.534163 20.92578  1
## 104     -1.5787229     -0.6583592                        4.037285 19.23348  2
## 105     -1.5787229     -0.7834475                        3.810182 18.41515  1
## 107     -1.6752524     -0.4379501                        3.752748 18.12141  2
## 108     -1.4919984     -0.2911993                        3.342694 18.67549  1
## 109     -1.5787229     -0.9607695                        2.208489 15.75555  1
## 110     -1.9109957     -0.8510875                        2.854653 13.38584  1
## 111     -1.6752524     -0.6583592                        3.040333 19.35952  2
## 112     -1.4516659     -0.3147700                        4.149327 18.88110  1
## 113     -1.3405665     -0.4251984                        4.149327 15.68709  2
## 114     -1.6752524     -1.2788897                        2.791992 13.36258  2
## 115     -1.0965412     -1.0202041                        3.637051 15.13589  2
## 117     -1.7280531     -0.5577795                        4.315608 17.92466  1
## 118     -1.4516659     -0.8864471                        4.149327 17.66918  1
## 121     -1.2415199     -0.8338096                        3.637051 16.82573  2
## 123     -1.8708654     -0.6733501                        2.854653 14.19800  2
## 124     -1.4919984     -0.7038519                        3.040333 16.94495  1
## 126     -1.4130880     -0.7038519                        3.867347 15.99076  2
## 128     -1.1808680     -0.8338096                        4.093428 18.65101  2
## 129     -1.4130880     -1.3071797                        3.101492 13.92275  2
## 130     -1.3761017     -0.8864471                        4.908629 17.46224  1
## 131     -1.7280531     -0.7038519                        3.578777 17.01865  1
## 132     -1.4919984     -0.5577795                        3.752748 18.17317  2
## 133     -1.4130880     -0.6583592                        4.149327 16.26768  2
## 134     -1.3405665     -0.8864471                        6.225224 17.40624  2
## 135     -1.7844998     -0.7350889                        3.342694 18.51518  1
## 136     -1.4516659     -0.5857864                        3.578777 17.68281  2
## 137     -1.7280531     -1.0202041                        2.791992 16.61303  2
## 139     -1.7844998     -1.0000000                        3.282892 15.82344  2
## 140     -1.5342758     -0.9416995                        4.149327 16.75036  2
## 141     -1.3063602     -1.0000000                        4.149327 17.96435  2
## 143     -1.4919984     -0.5577795                        3.752748 16.65905  1
## 144     -1.6752524     -1.0000000                        3.752748 14.19800  2
## 145     -1.7844998     -0.7350889                        2.854653 16.07317  1
## 146     -1.3063602     -0.6583592                        3.980894 17.62818  2
## 147     -1.3761017     -0.8000000                        3.752748 17.37811  2
## 148     -1.2415199     -0.2564404                        4.479850 18.63874  1
## 149     -1.5787229     -0.7038519                        3.342694 16.68960  1
## 152     -1.2415199     -0.2679492                        5.580204 17.76415  2
## 153     -1.0441270     -0.7193752                        4.149327 16.81071  1
## 154     -1.9461072     -1.0834849                        2.537220 16.13851  1
## 155     -1.7280531     -0.7350889                        3.342694 15.40733  2
## 156     -1.2107086     -0.6733501                        4.315608 18.62646  1
## 157     -1.4919984     -0.4125492                        3.752748 17.07716  1
## 158     -1.7280531     -1.0834849                        3.342694 17.89810  2
## 159     -1.3761017     -0.8864471                        3.637051 14.70067  1
## 160     -1.3405665     -0.5717143                        4.315608 19.49518  1
## 161     -1.3405665     -1.1753789                        4.479850 17.61447  1
## 162     -1.6256074     -0.6583592                        3.578777 18.42771  1
## 163     -1.6752524     -0.8510875                        4.479850 16.10590  2
## 165     -1.7280531     -1.0000000                        3.040333 16.47344  2
## 166     -1.6256074     -1.0202041                        3.637051 16.18718  1
## 167     -1.5342758     -0.5303062                        4.908629 19.88049  1
## 168     -1.3761017     -0.7038519                        3.342694 16.95974  1
## 169     -1.6256074     -0.8000000                        3.282892 15.51337  1
## 170     -1.5342758     -0.9416995                        3.752748 13.85775  1
## 171     -1.0189283     -0.7038519                        4.855724 16.41066  1
## 172     -1.7844998     -0.7350889                        3.752748 17.60073  1
## 174     -1.1238408     -0.8000000                        4.093428 16.73521  1
## 175     -1.4919984     -0.8864471                        4.149327 16.56675  1
## 176     -1.3063602     -0.8864471                        4.093428 16.25164  1
## 177     -1.7280531     -0.3147700                        3.578777 18.49027  1
## 178     -1.4130880     -1.1753789                        3.637051 15.02467  1
## 179     -1.0965412     -0.1026334                        5.273838 18.27583  1
## 180     -1.5342758     -0.7193752                        5.580204 15.87400  1
## 181     -1.9041616     -0.7510004                        4.037285 16.28369  1
## 182     -1.7280531     -0.6435340                        3.520211 18.41515  1
## 183     -1.5342758     -0.5577795                        2.407182 14.54339  2
## 184     -1.4130880     -0.5303062                        4.908629 18.33941  2
## 185     -1.3405665     -1.0202041                        4.093428 18.06935  2
## 186     -1.6256074     -1.0000000                        4.149327 15.42510  2
## 189     -1.7280531     -1.0619168                        3.520211 17.47619  1
## 190     -1.5342758     -0.6583592                        4.479850 19.25652  1
## 191     -1.6256074     -0.8510875                        4.037285 16.88555  2
## 192     -1.2733760     -0.8000000                        4.479850 19.21038  2
## 193     -1.3761017     -0.6288691                        3.637051 15.78957  2
## 194     -1.4130880     -0.5303062                        4.037285 16.44211  2
## 195     -1.3405665     -0.7834475                        3.810182 17.64187  1
## 197     -1.3063602     -0.6583592                        3.980894 17.95114  2
## 198     -1.6752524     -0.6583592                        4.037285 15.75555  2
## 200     -1.8452133     -0.6435340                        2.854653 19.40495  2
## 201     -1.4919984     -0.7510004                        4.908629 18.08239  1
## 202     -1.9754065     -0.8510875                        3.342694 14.23946  2
## 205     -1.2733760     -0.9607695                        4.315608 16.93014  1
## 208     -1.4516659     -0.6288691                        4.037285 17.96435  2
## 210     -1.2733760     -1.0000000                        4.534163 16.88555  2
## 212     -1.6256074     -1.1753789                        1.936058 15.17262  2
## 213     -1.4516659     -0.8000000                        4.534163 16.72003  2
## 214     -1.7280531     -0.8686292                        3.342694 16.08955  1
## 215     -1.8452133     -0.7350889                        3.752748 17.06257  1
## 216     -1.5342758     -1.0619168                        4.479850 17.60073  2
## 218     -1.5342758     -0.4125492                        4.908629 16.28369  1
## 219     -1.5787229     -1.1753789                        3.637051 16.55127  1
## 220     -1.3405665     -0.8864471                        3.637051 15.40733  1
## 223     -1.6256074     -0.3875485                        4.149327 17.14975  2
## 224     -1.8708654     -0.5577795                        2.854653 17.83137  1
## 225     -1.5342758     -0.7350889                        3.752748 20.29296  1
## 226     -1.9389551     -0.6583592                        4.037285 21.33654  1
## 227     -1.3405665     -0.3875485                        3.752748 18.37736  1
## 228     -1.9606157     -0.5303062                        1.796259 14.75884  1
## 229     -1.7844998     -1.0000000                        3.520211 12.70378  2
## 230     -1.4130880     -0.8000000                        4.908629 18.03012  1
## 231     -1.3761017     -0.8864471                        3.752748 17.17862  1
## 232     -1.4919984     -0.8510875                        4.479850 18.19894  1
## 233     -1.6752524     -0.8510875                        3.040333 15.19092  2
## 234     -1.3761017     -0.7193752                        3.752748 15.75555  1
## 236     -1.6256074     -0.8864471                        3.282892 15.63536  1
## 237     -1.4130880     -0.8000000                        3.637051 16.78059  1
## 239     -1.9248483     -0.3875485                        3.342694 11.83075  1
## 240     -1.9248483     -0.4900331                        2.854653 15.58331  1
## 241     -1.5342758     -0.5857864                        4.149327 17.88480  1
## 242     -1.2415199     -0.2000000                        2.791992 14.34213  1
## 243     -1.4130880     -0.8338096                        3.637051 14.05105  1
## 244     -1.2733760     -1.0202041                        4.093428 17.43429  2
## 245     -1.9041616     -0.9045549                        4.479850 13.50102  1
## 246     -1.5787229     -0.3386752                        3.752748 17.23608  1
## 247     -1.6256074     -0.8510875                        4.479850 16.26768  2
## 249     -1.6256074     -0.8000000                        4.149327 19.12912  2
## 250     -1.8452133     -1.0834849                        3.040333 17.88480  2
## 251     -1.4919984     -0.7510004                        3.101492 17.32157  2
## 253     -1.1519318     -0.6288691                        4.093428 17.50402  1
## 254     -1.2733760     -0.4900331                        4.149327 22.38015  1
## 255     -1.1519318     -1.0834849                        3.637051 17.26467  2
## 256     -1.5342758     -0.8864471                        3.101492 14.83572  2
## 257     -1.6752524     -0.6733501                        3.637051 14.89288  2
## 258     -1.4130880     -1.2254033                        5.580204 18.73643  2
## 260     -1.7844998     -0.5857864                        4.037285 17.26467  1
## 261     -1.5342758     -1.0202041                        3.101492 14.13537  1
## 262     -1.7844998     -0.7510004                        4.037285 16.90044  1
## 263     -1.6256074     -0.4379501                        4.037285 19.52881  1
## 264     -0.8582591     -0.5577795                        4.093428 17.51790  2
## 265     -1.8452133     -0.6583592                        3.810182 17.89810  1
## 267     -1.3405665     -0.7193752                        4.149327 18.18606  2
## 268     -1.5787229     -0.8510875                        4.479850 18.60184  1
## 269     -1.9754065     -1.0619168                        3.520211 16.85569  2
## 270     -1.5787229     -0.5857864                        3.578777 18.19894  1
## 271     -1.3063602     -0.6583592                        4.908629 18.09542  2
## 272     -1.4130880     -0.5577795                        4.908629 18.73643  1
## 273     -1.3405665     -0.6583592                        4.479850 17.51790  1
## 274     -1.9389551     -0.7510004                        3.578777 17.20740  1
## 275     -1.4919984     -0.3386752                        3.342694 18.21180  1
## 277     -1.4516659     -1.0000000                        4.534163 16.10590  1
## 278     -1.8452133     -0.4900331                        3.101492 17.61447  1
## 279     -1.6256074     -0.7671172                        3.980894 16.39490  2
## 281     -1.6752524     -0.8864471                        4.908629 15.90753  2
## 282     -1.4130880     -0.7834475                        4.315608 17.12079  2
## 283     -1.0189283     -0.9801961                        4.479850 21.12839  1
## 287     -1.5342758     -0.7834475                        2.791992 17.87147  1
## 289     -1.7844998     -1.0619168                        2.407182 14.91184  1
## 290     -1.6752524     -0.9607695                        3.342694 14.77813  1
## 291     -1.5787229     -0.8864471                        5.580204 15.22740  1
## 292     -1.3063602     -0.4900331                        4.149327 19.42759  1
## 294     -1.9248483     -0.4379501                        2.407182 13.92275  1
## 297     -1.4919984     -0.8864471                        2.601557 16.62839  1
## 298     -1.5342758     -0.7834475                        2.208489 16.37910  1
## 299     -1.5787229     -1.0000000                        4.534163 16.87063  2
## 301     -1.5787229     -1.0202041                        3.101492 15.19092  2
## 302     -1.4919984     -0.4900331                        3.342694 14.40307  1
## 303     -1.5787229     -0.6288691                        4.908629 17.76415  1
## 304     -1.5342758     -1.0202041                        3.867347 17.80454  2
## 305     -1.4919984     -0.3147700                        4.908629 21.09010  1
## 306     -1.3063602     -0.5577795                        4.534163 19.25652  1
## 307     -1.2415199     -0.3147700                        4.315608 18.45279  1
## 308     -1.6256074     -0.2450071                        1.796259 17.92466  2
## 311     -1.2733760     -0.5303062                        4.479850 15.42510  2
## 312     -1.2733760     -1.0202041                        3.637051 20.78848  2
## 313     -1.5787229     -0.6583592                        3.040333 16.41066  1
## 314     -1.7280531     -0.8510875                        4.037285 16.88555  1
## 315     -1.5342758     -0.4900331                        2.854653 16.58220  1
## 316     -1.4516659     -0.8686292                        3.810182 17.49011  1
## 317     -1.3761017     -1.0834849                        3.810182 17.61447  1
## 320     -1.1808680     -0.6288691                        3.342694 16.41066  2
## 321     -1.5787229     -0.7834475                        2.791992 12.70378  1
## 322     -0.9943519     -0.4508067                        4.093428 17.73712  1
## 323     -1.3405665     -0.8510875                        4.037285 18.54002  1
## 324     -1.5787229     -0.7350889                        3.342694 15.87400  2
## 325     -1.7844998     -0.4379501                        3.578777 18.42771  1
## 326     -1.6256074     -1.2000000                        4.037285 16.97451  2
## 327     -1.2107086     -0.7193752                        5.273838 19.05891  2
## 329     -1.4919984     -0.8864471                        3.637051 17.51790  1
## 330     -1.2107086     -0.5717143                        4.534163 15.61805  2
## 331     -1.5787229     -0.7510004                        4.260413 14.54339  1
## 332     -1.4516659     -0.5857864                        4.479850 16.36327  1
## 333     -1.5787229     -0.6583592                        4.037285 22.34608  2
##     E2
## 1    1
## 2    1
## 3    1
## 5    1
## 6    1
## 7    2
## 8    2
## 9    1
## 11   1
## 12   2
## 14   1
## 16   1
## 17   1
## 18   1
## 19   1
## 20   2
## 21   1
## 22   1
## 23   1
## 24   1
## 25   1
## 26   1
## 28   1
## 29   1
## 30   2
## 31   1
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## 
## $usekernel
## [1] TRUE
## 
## $varnames
##  [1] "Alpha_1_Antichymotrypsin"         "Alpha_1_Antitrypsin"             
##  [3] "Alpha_1_Microglobulin"            "Alpha_2_Macroglobulin"           
##  [5] "Apolipoprotein_CIII"              "Apolipoprotein_D"                
##  [7] "B_Lymphocyte_Chemoattractant_BL"  "CD5L"                            
##  [9] "Clusterin_Apo_J"                  "Complement_3"                    
## [11] "Cortisol"                         "Creatine_Kinase_MB"              
## [13] "Cystatin_C"                       "Eotaxin_3"                       
## [15] "FAS"                              "Fas_Ligand"                      
## [17] "Fatty_Acid_Binding_Protein"       "Fetuin_A"                        
## [19] "Fibrinogen"                       "GRO_alpha"                       
## [21] "Gamma_Interferon_induced_Monokin" "HCC_4"                           
## [23] "Hepatocyte_Growth_Factor_HGF"     "IL_7"                            
## [25] "IL_8"                             "IP_10_Inducible_Protein_10"      
## [27] "IgA"                              "Kidney_Injury_Molecule_1_KIM_1"  
## [29] "MCP_1"                            "MCP_2"                           
## [31] "MIF"                              "MIP_1alpha"                      
## [33] "MMP_3"                            "MMP10"                           
## [35] "MMP7"                             "NT_proBNP"                       
## [37] "Osteopontin"                      "PAI_1"                           
## [39] "PLGF"                             "Pancreatic_polypeptide"          
## [41] "Protein_S"                        "Pulmonary_and_Activation_Regulat"
## [43] "Resistin"                         "S100b"                           
## [45] "Sortilin"                         "TIMP_1"                          
## [47] "TNF_RII"                          "TRAIL_R3"                        
## [49] "Thrombomodulin"                   "Thrombopoietin"                  
## [51] "Thymus_Expressed_Chemokine_TECK"  "VEGF"                            
## [53] "E4"                               "E2"                              
## 
## attr(,"class")
## [1] "NaiveBayes"
NB_UF_NANC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa     ROCSD    SensSD
## 1 0.7484774 0.6232143 0.7673684 0.7271469 0.3700051 0.1077349 0.2240579
##      SpecSD AccuracySD  KappaSD
## 1 0.1548299  0.1227383 0.234844
(NB_UF_NANC_Train_ROCCurveAUC <- NB_UF_NANC_Tune$results[NB_UF_NANC_Tune$results$ROC==max(NB_UF_NANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7484774
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
NB_UF_NANC_Test <- data.frame(NB_UF_NANC_Observed = PMA_PreModelling_Test$Class,
                              NB_UF_NANC_Predicted = predict(NB_UF_NANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

NB_UF_NANC_Test
##     NB_UF_NANC_Observed NB_UF_NANC_Predicted.pred NB_UF_NANC_Predicted.Impaired
## 4               Control                   Control                  1.867819e-06
## 10             Impaired                  Impaired                  8.839515e-01
## 13             Impaired                   Control                  4.031104e-06
## 15              Control                   Control                  1.498872e-05
## 27             Impaired                   Control                  1.134579e-05
## 32             Impaired                   Control                  5.132766e-06
## 33             Impaired                   Control                  1.654463e-04
## 49              Control                   Control                  7.416965e-05
## 52             Impaired                  Impaired                  1.000000e+00
## 54              Control                   Control                  3.293740e-07
## 58              Control                  Impaired                  9.999996e-01
## 66              Control                   Control                  9.004457e-03
## 79              Control                   Control                  3.142451e-02
## 87             Impaired                   Control                  4.328872e-05
## 89              Control                   Control                  7.920796e-03
## 91              Control                  Impaired                  9.992909e-01
## 92              Control                   Control                  1.360076e-01
## 101            Impaired                  Impaired                  1.000000e+00
## 102             Control                   Control                  8.990638e-06
## 106             Control                   Control                  1.777239e-15
## 116             Control                   Control                  6.676643e-19
## 119             Control                   Control                  3.158471e-06
## 120             Control                   Control                  1.357325e-04
## 122             Control                   Control                  3.379227e-05
## 125             Control                   Control                  2.370064e-03
## 127             Control                  Impaired                  8.615225e-01
## 138             Control                   Control                  8.473217e-02
## 142             Control                  Impaired                  9.156017e-01
## 150             Control                   Control                  5.865319e-04
## 151             Control                   Control                  5.114803e-06
## 164            Impaired                   Control                  2.367674e-07
## 173             Control                   Control                  2.617651e-03
## 187             Control                   Control                  1.259378e-05
## 188             Control                   Control                  2.547031e-07
## 196             Control                  Impaired                  8.304436e-01
## 199             Control                   Control                  1.609996e-05
## 203             Control                   Control                  2.246975e-14
## 204             Control                  Impaired                  9.990317e-01
## 206            Impaired                  Impaired                  1.000000e+00
## 207             Control                   Control                  9.079187e-07
## 209             Control                   Control                  1.261406e-10
## 211             Control                   Control                  3.740898e-06
## 217             Control                  Impaired                  8.403365e-01
## 221            Impaired                  Impaired                  9.994895e-01
## 222             Control                   Control                  2.594928e-01
## 235             Control                   Control                  3.779165e-10
## 238             Control                   Control                  1.579753e-04
## 248            Impaired                   Control                  1.763513e-08
## 252             Control                   Control                  5.417021e-11
## 259            Impaired                   Control                  2.068925e-01
## 266             Control                  Impaired                  5.082039e-01
## 276            Impaired                  Impaired                  9.999999e-01
## 280            Impaired                   Control                  4.374295e-01
## 284             Control                   Control                  7.457101e-02
## 285             Control                   Control                  1.407097e-08
## 286             Control                   Control                  6.725336e-09
## 288             Control                   Control                  1.570091e-06
## 293            Impaired                   Control                  1.841767e-02
## 295             Control                   Control                  1.656014e-03
## 296            Impaired                  Impaired                  9.998365e-01
## 300             Control                  Impaired                  9.980334e-01
## 309             Control                   Control                  5.797288e-03
## 310            Impaired                  Impaired                  9.664415e-01
## 318             Control                   Control                  1.060974e-08
## 319             Control                  Impaired                  5.061618e-01
## 328             Control                   Control                  7.541705e-09
##     NB_UF_NANC_Predicted.Control
## 4                   9.999981e-01
## 10                  1.160485e-01
## 13                  9.999960e-01
## 15                  9.999850e-01
## 27                  9.999887e-01
## 32                  9.999949e-01
## 33                  9.998346e-01
## 49                  9.999258e-01
## 52                  3.210367e-10
## 54                  9.999997e-01
## 58                  3.940782e-07
## 66                  9.909955e-01
## 79                  9.685755e-01
## 87                  9.999567e-01
## 89                  9.920792e-01
## 91                  7.091490e-04
## 92                  8.639924e-01
## 101                 4.672551e-11
## 102                 9.999910e-01
## 106                 1.000000e+00
## 116                 1.000000e+00
## 119                 9.999968e-01
## 120                 9.998643e-01
## 122                 9.999662e-01
## 125                 9.976299e-01
## 127                 1.384775e-01
## 138                 9.152678e-01
## 142                 8.439835e-02
## 150                 9.994135e-01
## 151                 9.999949e-01
## 164                 9.999998e-01
## 173                 9.973823e-01
## 187                 9.999874e-01
## 188                 9.999997e-01
## 196                 1.695564e-01
## 199                 9.999839e-01
## 203                 1.000000e+00
## 204                 9.683200e-04
## 206                 1.214794e-08
## 207                 9.999991e-01
## 209                 1.000000e+00
## 211                 9.999963e-01
## 217                 1.596635e-01
## 221                 5.104641e-04
## 222                 7.405072e-01
## 235                 1.000000e+00
## 238                 9.998420e-01
## 248                 1.000000e+00
## 252                 1.000000e+00
## 259                 7.931075e-01
## 266                 4.917961e-01
## 276                 7.499161e-08
## 280                 5.625705e-01
## 284                 9.254290e-01
## 285                 1.000000e+00
## 286                 1.000000e+00
## 288                 9.999984e-01
## 293                 9.815823e-01
## 295                 9.983440e-01
## 296                 1.634554e-04
## 300                 1.966634e-03
## 309                 9.942027e-01
## 310                 3.355851e-02
## 318                 1.000000e+00
## 319                 4.938382e-01
## 328                 1.000000e+00
##################################
# Reporting the independent evaluation results
# for the test set
##################################
NB_UF_NANC_Test_ROC <- roc(response = NB_UF_NANC_Test$NB_UF_NANC_Observed,
                           predictor = NB_UF_NANC_Test$NB_UF_NANC_Predicted.Impaired,
                           levels = rev(levels(NB_UF_NANC_Test$NB_UF_NANC_Observed)))

(NB_UF_NANC_Test_ROCCurveAUC <- auc(NB_UF_NANC_Test_ROC)[1])
## [1] 0.6990741

1.5.15 Naive Bayes With UF Using Bonferroni-Adjusted P-Values and No Correlated Predictors (NB_UF_BANC)


Naive Bayes Classifier categorizes instances by applying Bayes Theorem in determining posterior probabilities as conditioned by the likelihood of features, and prior probabilities pertaining to both events and features. The algorithm naively assumes independence between features and assigns the same weight (degree of significance) to all given features. The class conditional probabilities and the prior probabilities are calculated to yield the posterior probability, and operates by returning the class, which has the maximum posterior probability out of a group of classes.

Bonferroni-Adjusted P-Values conservatively corrects and thresholds unadjusted P-Values to reduce the increased risk of a Type I error when making multiple statistical tests. In multiple hypothesis testing, an increased number of samples in a given family increases the probability that false positives will arise within that family at the same probability threshold alpha. Thus, the threshold should be lowered to control the total number of false positives. The Bonferroni correction controls the number of false positives arising in each family by using a probability threshold of alpha divided by the number of comparison tests being considered.

Correlation Coefficient measures the linear correlation for a pair of features by calculating the ratio between their covariance and the product of their standard deviations. Applying a threshold to exclude highly correlated features and maintain a subset of non-redundant features during the modeling process may avoid model fitting problems, wider confidence intervals, erratic changes in the coefficient estimates and thus misleading inferences.

[A] The Naive Bayes model from the klaR package was implemented with univariate filters using Bonferroni adjustment for the computed p-values and no correlated predictors through the caret package.

[B] The model contains 3 hyperparameters:
     [B.1] fL = laplace correction held constant at a value of 0
     [B.2] adjust = bandwidth adjustment held constant at a value of TRUE
     [B.3] usekernel = distribution type held constant at a value of TRUE

[C] Univariate filtering was applied with results as follows:
     [C.1] 15 predictors were selected using the training data.
     [C.2] Resampling showed that approximately 13 variables were selected.
     [C.3] The top 5 variables identified were tied among too many predictors.

[D] The cross-validated model peNBormance of the final model is summarized as follows:
     [D.1] Final model configuration involves variable subset=10 to 18
     [D.2] AUROC = 0.76025

[E] The independent test model peNBormance of the final model is summarized as follows:
     [E.1] AUROC = 0.76273

Code Chunk | Output
##################################
# Creating a function to filter out
# predictors with p-values greater than 0.05
##################################
NBPValue$filter <- function (Score, x, y){
  Score <- p.adjust(Score,  "bonferroni")
  InformativePredictors <- Score <= 0.05
  CorrelationMatrix <- cor(x[,InformativePredictors])
  HighlyCorrelated <- findCorrelation(CorrelationMatrix, 0.75)
  if(length(HighlyCorrelated)>0) InformativePredictors[HighlyCorrelated] <- FALSE
  InformativePredictors
}

##################################
# Formulating the controls for the 
# univariate filtering process
##################################
KFold_SBFControl <- sbfControl(method = "cv",
                      verbose = TRUE,
                      functions = NBPValue,
                      index = KFold_Indices,
                      saveDetails = TRUE,
                      returnResamp = "final")

##################################
# Running the naive bayes model
# by setting the caret method to 'nb'
# with implementation of univariate filter
##################################
set.seed(12345678)
NB_UF_BANC_Tune <- caret::sbf(x = PMA_PreModelling_Train[,!names(PMA_PreModelling_Train) %in% c("Class")],
                              y = PMA_PreModelling_Train$Class,
                              metric = "ROC",
                              sbfControl = KFold_SBFControl)


##################################
# Reporting the cross-validation results
# for the train set
##################################
NB_UF_BANC_Tune
## 
## Selection By Filter
## 
## Outer resampling method: Cross-Validated (10 fold) 
## 
## Resampling performance:
## 
##     ROC   Sens   Spec Accuracy Kappa   ROCSD SensSD SpecSD AccuracySD KappaSD
##  0.7609 0.5964 0.7774   0.7273 0.363 0.09855 0.2223 0.1597     0.1319  0.2715
## 
## Using the training set, 15 variables were selected:
##    Eotaxin_3, FAS, Fibrinogen, GRO_alpha, Gamma_Interferon_induced_Monokin...
## 
## During resampling, the top 5 selected variables (out of a possible 20):
##    Fibrinogen (100%), GRO_alpha (100%), MIF (100%), MMP10 (100%), MMP7 (100%)
## 
## On average, 12.8 variables were selected (min = 10, max = 18)
NB_UF_BANC_Tune$fit
## $apriori
## grouping
##  Impaired   Control 
## 0.2734082 0.7265918 
## 
## $tables
## $tables$Eotaxin_3
## $tables$Eotaxin_3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 4.556
## 
##        x                 y            
##  Min.   :  9.332   Min.   :1.337e-05  
##  1st Qu.: 37.166   1st Qu.:1.129e-03  
##  Median : 65.000   Median :5.511e-03  
##  Mean   : 65.000   Mean   :8.964e-03  
##  3rd Qu.: 92.834   3rd Qu.:1.491e-02  
##  Max.   :120.668   Max.   :2.988e-02  
## 
## $tables$Eotaxin_3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 4.684
## 
##        x                 y            
##  Min.   : -7.052   Min.   :4.901e-06  
##  1st Qu.: 22.224   1st Qu.:4.092e-04  
##  Median : 51.500   Median :4.572e-03  
##  Mean   : 51.500   Mean   :8.523e-03  
##  3rd Qu.: 80.776   3rd Qu.:1.856e-02  
##  Max.   :110.052   Max.   :2.364e-02  
## 
## 
## $tables$FAS
## $tables$FAS$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.112
## 
##        x                 y            
##  Min.   :-1.3860   Min.   :0.0005482  
##  1st Qu.:-0.8713   1st Qu.:0.0744882  
##  Median :-0.3567   Median :0.4050701  
##  Mean   :-0.3567   Mean   :0.4847868  
##  3rd Qu.: 0.1580   3rd Qu.:0.8069833  
##  Max.   : 0.6726   Max.   :1.3560508  
## 
## $tables$FAS$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.08631
## 
##        x                 y            
##  Min.   :-1.7731   Min.   :0.0002668  
##  1st Qu.:-1.2412   1st Qu.:0.0228707  
##  Median :-0.7094   Median :0.3094483  
##  Mean   :-0.7094   Mean   :0.4691546  
##  3rd Qu.:-0.1776   3rd Qu.:0.8467171  
##  Max.   : 0.3542   Max.   :1.4115039  
## 
## 
## $tables$Fibrinogen
## $tables$Fibrinogen$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2039
## 
##        x                y            
##  Min.   :-9.352   Min.   :0.0002994  
##  1st Qu.:-8.340   1st Qu.:0.0297491  
##  Median :-7.327   Median :0.1176966  
##  Mean   :-7.327   Mean   :0.2464541  
##  3rd Qu.:-6.315   3rd Qu.:0.4605718  
##  Max.   :-5.303   Max.   :0.7646276  
## 
## $tables$Fibrinogen$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1616
## 
##        x                y            
##  Min.   :-9.359   Min.   :0.0001768  
##  1st Qu.:-8.359   1st Qu.:0.0386225  
##  Median :-7.358   Median :0.1268076  
##  Mean   :-7.358   Mean   :0.2494747  
##  3rd Qu.:-6.358   3rd Qu.:0.4809641  
##  Max.   :-5.358   Max.   :0.7047324  
## 
## 
## $tables$GRO_alpha
## $tables$GRO_alpha$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.01539
## 
##        x               y           
##  Min.   :1.263   Min.   : 0.00406  
##  1st Qu.:1.332   1st Qu.: 0.54230  
##  Median :1.402   Median : 2.71917  
##  Mean   :1.402   Mean   : 3.59086  
##  3rd Qu.:1.471   3rd Qu.: 6.17618  
##  Max.   :1.541   Max.   :10.69562  
## 
## $tables$GRO_alpha$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.01113
## 
##        x               y            
##  Min.   :1.238   Min.   : 0.002945  
##  1st Qu.:1.300   1st Qu.: 0.969398  
##  Median :1.363   Median : 3.049909  
##  Mean   :1.363   Mean   : 3.994613  
##  3rd Qu.:1.425   3rd Qu.: 7.200400  
##  Max.   :1.488   Max.   :10.071952  
## 
## 
## $tables$Gamma_Interferon_induced_Monokin
## $tables$Gamma_Interferon_induced_Monokin$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.03894
## 
##        x               y          
##  Min.   :2.497   Min.   :0.00164  
##  1st Qu.:2.669   1st Qu.:0.17739  
##  Median :2.840   Median :1.25904  
##  Mean   :2.840   Mean   :1.45720  
##  3rd Qu.:3.011   3rd Qu.:2.70076  
##  Max.   :3.182   Max.   :3.51052  
## 
## $tables$Gamma_Interferon_induced_Monokin$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.03562
## 
##        x               y           
##  Min.   :2.286   Min.   :0.000645  
##  1st Qu.:2.496   1st Qu.:0.054709  
##  Median :2.707   Median :0.799942  
##  Mean   :2.707   Mean   :1.187958  
##  3rd Qu.:2.917   3rd Qu.:2.388599  
##  Max.   :3.127   Max.   :3.377959  
## 
## 
## $tables$MIF
## $tables$MIF$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1116
## 
##        x                 y            
##  Min.   :-2.7318   Min.   :0.0005472  
##  1st Qu.:-2.1761   1st Qu.:0.0505520  
##  Median :-1.6204   Median :0.1858068  
##  Mean   :-1.6204   Mean   :0.4490134  
##  3rd Qu.:-1.0648   3rd Qu.:0.9965195  
##  Max.   :-0.5091   Max.   :1.1763069  
## 
## $tables$MIF$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09496
## 
##        x                 y            
##  Min.   :-3.1322   Min.   :0.0002408  
##  1st Qu.:-2.5133   1st Qu.:0.0326868  
##  Median :-1.8945   Median :0.2730891  
##  Mean   :-1.8945   Mean   :0.4031727  
##  3rd Qu.:-1.2756   3rd Qu.:0.7351494  
##  Max.   :-0.6567   Max.   :1.2561687  
## 
## 
## $tables$MMP10
## $tables$MMP10$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1366
## 
##        x                y            
##  Min.   :-5.343   Min.   :0.0004474  
##  1st Qu.:-4.457   1st Qu.:0.0326114  
##  Median :-3.570   Median :0.1316350  
##  Mean   :-3.570   Mean   :0.2814658  
##  3rd Qu.:-2.684   3rd Qu.:0.4407209  
##  Max.   :-1.798   Max.   :1.1131115  
## 
## $tables$MMP10$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1146
## 
##        x                y            
##  Min.   :-5.011   Min.   :0.0002376  
##  1st Qu.:-4.313   1st Qu.:0.0639220  
##  Median :-3.615   Median :0.1883134  
##  Mean   :-3.615   Mean   :0.3575896  
##  3rd Qu.:-2.918   3rd Qu.:0.7256202  
##  Max.   :-2.220   Max.   :0.9695254  
## 
## 
## $tables$MMP7
## $tables$MMP7$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.4298
## 
##        x                 y            
##  Min.   :-7.8961   Min.   :0.0001877  
##  1st Qu.:-5.7017   1st Qu.:0.0296373  
##  Median :-3.5072   Median :0.0703373  
##  Mean   :-3.5072   Mean   :0.1136922  
##  3rd Qu.:-1.3127   3rd Qu.:0.2118599  
##  Max.   : 0.8818   Max.   :0.3283795  
## 
## $tables$MMP7$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.4545
## 
##        x                y            
##  Min.   :-9.761   Min.   :5.049e-05  
##  1st Qu.:-7.035   1st Qu.:7.595e-03  
##  Median :-4.310   Median :7.733e-02  
##  Mean   :-4.310   Mean   :9.155e-02  
##  3rd Qu.:-1.584   3rd Qu.:1.513e-01  
##  Max.   : 1.141   Max.   :2.707e-01  
## 
## 
## $tables$NT_proBNP
## $tables$NT_proBNP$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1278
## 
##        x               y            
##  Min.   :3.488   Min.   :0.0004799  
##  1st Qu.:4.183   1st Qu.:0.0472861  
##  Median :4.879   Median :0.1644620  
##  Mean   :4.879   Mean   :0.3587442  
##  3rd Qu.:5.574   3rd Qu.:0.6206068  
##  Max.   :6.270   Max.   :1.2352851  
## 
## $tables$NT_proBNP$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09443
## 
##        x               y            
##  Min.   :2.895   Min.   :0.0002446  
##  1st Qu.:3.609   1st Qu.:0.0257804  
##  Median :4.323   Median :0.1530335  
##  Mean   :4.323   Mean   :0.3493812  
##  3rd Qu.:5.037   3rd Qu.:0.5785926  
##  Max.   :5.751   Max.   :1.3532174  
## 
## 
## $tables$PAI_1
## $tables$PAI_1$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1684
## 
##        x                 y            
##  Min.   :-1.3796   Min.   :0.0003683  
##  1st Qu.:-0.6169   1st Qu.:0.0433878  
##  Median : 0.1458   Median :0.2047515  
##  Mean   : 0.1458   Mean   :0.3271269  
##  3rd Qu.: 0.9085   3rd Qu.:0.6651820  
##  Max.   : 1.6713   Max.   :0.7845451  
## 
## $tables$PAI_1$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1155
## 
##        x                   y            
##  Min.   :-1.337358   Min.   :0.0002009  
##  1st Qu.:-0.665516   1st Qu.:0.0465423  
##  Median : 0.006326   Median :0.2552360  
##  Mean   : 0.006326   Mean   :0.3713764  
##  3rd Qu.: 0.678169   3rd Qu.:0.6258449  
##  Max.   : 1.350011   Max.   :1.0998865  
## 
## 
## $tables$Pancreatic_polypeptide
## $tables$Pancreatic_polypeptide$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2937
## 
##        x                 y            
##  Min.   :-2.1541   Min.   :0.0004183  
##  1st Qu.:-0.9124   1st Qu.:0.0345638  
##  Median : 0.3293   Median :0.1788613  
##  Mean   : 0.3293   Mean   :0.2009313  
##  3rd Qu.: 1.5710   3rd Qu.:0.3209413  
##  Max.   : 2.8126   Max.   :0.5212213  
## 
## $tables$Pancreatic_polypeptide$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.2106
## 
##        x                 y            
##  Min.   :-2.7520   Min.   :0.0001181  
##  1st Qu.:-1.4939   1st Qu.:0.0177924  
##  Median :-0.2358   Median :0.1181308  
##  Mean   :-0.2358   Mean   :0.1983245  
##  3rd Qu.: 1.0223   3rd Qu.:0.3748847  
##  Max.   : 2.2803   Max.   :0.5971506  
## 
## 
## $tables$TNF_RII
## $tables$TNF_RII$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.1287
## 
##        x                 y            
##  Min.   :-1.7724   Min.   :0.0004729  
##  1st Qu.:-1.1153   1st Qu.:0.0399146  
##  Median :-0.4581   Median :0.1767396  
##  Mean   :-0.4581   Mean   :0.3796843  
##  3rd Qu.: 0.1990   3rd Qu.:0.7846294  
##  Max.   : 0.8561   Max.   :1.0878833  
## 
## $tables$TNF_RII$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.09976
## 
##        x                  y            
##  Min.   :-1.96002   Min.   :0.0002298  
##  1st Qu.:-1.31108   1st Qu.:0.0216834  
##  Median :-0.66213   Median :0.1367883  
##  Mean   :-0.66213   Mean   :0.3844817  
##  3rd Qu.:-0.01318   3rd Qu.:0.7880589  
##  Max.   : 0.63577   Max.   :1.1788242  
## 
## 
## $tables$TRAIL_R3
## $tables$TRAIL_R3$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.08757
## 
##        x                 y            
##  Min.   :-1.1644   Min.   :0.0006967  
##  1st Qu.:-0.7402   1st Qu.:0.0605912  
##  Median :-0.3161   Median :0.3641310  
##  Mean   :-0.3161   Mean   :0.5882954  
##  3rd Qu.: 0.1080   3rd Qu.:1.1507193  
##  Max.   : 0.5321   Max.   :1.6012376  
## 
## $tables$TRAIL_R3$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.071
## 
##        x                  y            
##  Min.   :-1.42370   Min.   :0.0003239  
##  1st Qu.:-0.96810   1st Qu.:0.0299211  
##  Median :-0.51251   Median :0.2241354  
##  Mean   :-0.51251   Mean   :0.5476573  
##  3rd Qu.:-0.05692   3rd Qu.:1.1322475  
##  Max.   : 0.39867   Max.   :1.6594882  
## 
## 
## $tables$Thymus_Expressed_Chemokine_TECK
## $tables$Thymus_Expressed_Chemokine_TECK$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.2555
## 
##        x               y           
##  Min.   :1.170   Min.   :0.000239  
##  1st Qu.:2.625   1st Qu.:0.017862  
##  Median :4.081   Median :0.079276  
##  Mean   :4.081   Mean   :0.171420  
##  3rd Qu.:5.536   3rd Qu.:0.310995  
##  Max.   :6.992   Max.   :0.559876  
## 
## $tables$Thymus_Expressed_Chemokine_TECK$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1889
## 
##        x                y            
##  Min.   :0.9418   Min.   :0.0001233  
##  1st Qu.:2.4043   1st Qu.:0.0171002  
##  Median :3.8669   Median :0.0722106  
##  Mean   :3.8669   Mean   :0.1705975  
##  3rd Qu.:5.3294   3rd Qu.:0.2912266  
##  Max.   :6.7920   Max.   :0.5967206  
## 
## 
## $tables$E4
## $tables$E4$Impaired
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (73 obs.);  Bandwidth 'bw' = 0.189
## 
##        x                y          
##  Min.   :0.4329   Min.   :0.00965  
##  1st Qu.:0.9664   1st Qu.:0.11395  
##  Median :1.5000   Median :0.37933  
##  Mean   :1.5000   Mean   :0.46703  
##  3rd Qu.:2.0336   3rd Qu.:0.78142  
##  Max.   :2.5671   Max.   :1.24269  
## 
## $tables$E4$Control
## 
## Call:
##  density.default(x = xx, metric = "ROC")
## 
## Data: xx (194 obs.); Bandwidth 'bw' = 0.1479
## 
##        x                y           
##  Min.   :0.5562   Min.   :0.008364  
##  1st Qu.:1.0281   1st Qu.:0.071217  
##  Median :1.5000   Median :0.345225  
##  Mean   :1.5000   Mean   :0.528053  
##  3rd Qu.:1.9719   3rd Qu.:0.833414  
##  Max.   :2.4438   Max.   :1.806542  
## 
## 
## 
## $levels
## [1] "Impaired" "Control" 
## 
## $call
## NaiveBayes.default(x = x, grouping = y, usekernel = TRUE, fL = 2, 
##     metric = "ROC")
## 
## $x
##     Eotaxin_3         FAS Fibrinogen GRO_alpha Gamma_Interferon_induced_Monokin
## 1          53 -0.08338161  -7.035589  1.381830                         2.949822
## 2          62 -0.52763274  -8.047190  1.372438                         2.721793
## 3          62 -0.63487827  -7.195437  1.412679                         2.762231
## 5          64 -0.12783337  -6.980326  1.398431                         2.851987
## 6          57 -0.32850407  -6.437752  1.398431                         2.822442
## 7          64 -0.71334989  -7.621105  1.338425                         2.739315
## 8          64 -0.71334989  -6.502290  1.350892                         2.966101
## 9          64 -0.82098055  -7.902008  1.381830                         2.584357
## 11         82 -0.02020271  -7.523941  1.412679                         2.701785
## 12         73 -0.71334989  -7.278819  1.398431                         2.769220
## 14         67 -0.44628710  -6.991137  1.440955                         2.924402
## 16         69 -0.41551544  -7.222466  1.412679                         2.911527
## 17         76 -0.02020271  -6.319969  1.419083                         2.845167
## 18         33 -0.82098055  -7.402052  1.324552                         2.956388
## 19         54 -0.47803580  -6.959049  1.405814                         3.019718
## 20         77 -0.63487827  -5.843045  1.430692                         2.708297
## 21         64 -0.07257069  -7.182192  1.398431                         2.929867
## 22         73 -0.30110509  -7.385791  1.405814                         2.724975
## 23         30 -0.86750057  -7.641724  1.338425                         2.568127
## 24         82 -0.07257069  -7.600902  1.372438                         2.614139
## 25         82 -0.57981850  -7.435388  1.308996                         2.667835
## 26         70 -0.16251893  -7.452482  1.381830                         2.788951
## 28         76 -0.49429632  -7.323271  1.350892                         2.680311
## 29         34 -1.04982212  -7.875339  1.338425                         2.713850
## 30         43 -0.96758403  -7.875339  1.398431                         2.766469
## 31         64 -0.82098055  -6.645391  1.381830                         2.790112
## 34         44 -0.82098055  -6.969631  1.458333                         2.883453
## 35         44 -0.82098055  -7.236259  1.362172                         2.802914
## 36         64 -0.49429632  -6.571283  1.445658                         2.848747
## 37         70 -0.28768207  -7.505592  1.398431                         2.786199
## 38         34 -0.82098055  -7.561682  1.398431                         2.919789
## 39         62 -0.44628710  -8.111728  1.291400                         2.620513
## 40         62 -0.63487827  -7.824046  1.430692                         2.876049
## 41         54 -0.52763274  -6.377127  1.398431                         2.825646
## 42         92 -0.61618614  -7.487574  1.398431                         2.603403
## 43         43 -0.57981850  -7.143478  1.362172                         2.927719
## 44         72 -0.63487827  -6.812445  1.362172                         2.908388
## 45         82 -0.05129329  -6.571283  1.425073                         2.792403
## 46         72 -0.44628710  -8.180721  1.372438                         2.762231
## 47         64 -0.75502258  -7.505592  1.405814                         2.757357
## 48         96 -0.30110509  -8.111728  1.405814                         2.879640
## 50         73 -0.44628710  -7.354042  1.435976                         2.787386
## 51         54 -0.65392647  -7.278819  1.338425                         2.829324
## 53         52 -0.52763274  -6.907755  1.390462                         2.848276
## 55         30 -0.63487827  -7.641724  1.372438                         2.637144
## 56         54 -0.71334989  -7.208860  1.390462                         2.852215
## 57         49 -0.11653382  -7.264430  1.338425                         2.864362
## 59         64 -0.71334989  -7.082109  1.430692                         2.974175
## 60         53 -0.82098055  -6.812445  1.381830                         2.936028
## 61         43 -0.71334989  -7.013116  1.362172                         2.742679
## 62         33 -1.10866262  -7.662778  1.324552                         2.684529
## 63         64 -0.37106368  -7.250246  1.390462                         2.726228
## 64         54 -0.44628710  -7.195437  1.430692                         3.065368
## 65         52 -0.73396918  -8.254829  1.372438                         2.632564
## 67         54 -0.44628710  -7.523941  1.390462                         2.674201
## 68         64 -0.08338161  -7.278819  1.308996                         2.713850
## 69         43 -0.96758403  -7.957577  1.308996                         2.732330
## 70         70 -0.44628710  -7.957577  1.381830                         2.809013
## 71         52 -0.52763274  -7.505592  1.350892                         2.780093
## 72         83  0.09531018  -6.505132  1.372438                         2.928799
## 73         83 -0.15082289  -7.354042  1.338425                         2.939917
## 74         53 -0.89159812  -7.143478  1.362172                         2.916177
## 75         83 -0.52763274  -6.437752  1.430692                         2.939917
## 76         54 -0.31471074  -7.130899  1.430692                         2.818539
## 77         44 -0.47803580  -6.319969  1.462144                         2.946345
## 78         70  0.33647224  -6.502290  1.445658                         2.943646
## 80         53 -0.52763274  -6.917806  1.338425                         2.735867
## 81         44 -0.71334989  -7.902008  1.419083                         2.760303
## 82         70 -0.57981850  -7.338538  1.350892                         2.757852
## 83         44 -0.26136476  -8.804875  1.372438                         2.668760
## 84         69 -0.94160854  -7.250246  1.435976                         2.774554
## 85         44 -0.31471074  -7.182192  1.362172                         2.851530
## 86         78 -0.31471074  -6.214608  1.435976                         2.851530
## 88         64 -0.24846136  -6.917806  1.430692                         2.909446
## 90         39 -0.71334989  -8.873868  1.350892                         2.668760
## 93         64 -0.47803580  -6.959049  1.372438                         2.881737
## 94         83  0.09531018  -6.502290  1.475713                         3.032417
## 95         43 -0.82098055  -7.469874  1.405814                         2.868085
## 96         70 -0.32850407  -7.986565  1.381830                         2.827923
## 97         70 -0.57981850  -7.875339  1.381830                         2.778414
## 98         33 -1.51412773  -8.468403  1.324552                         2.694967
## 99         83 -0.63487827  -6.812445  1.405814                         2.873869
## 100        39 -0.71334989  -7.751725  1.362172                         2.722435
## 103        93 -0.35667494  -7.799353  1.405814                         2.876049
## 104        44 -0.71334989  -7.323271  1.372438                         2.705439
## 105        52 -0.52763274  -7.706263  1.372438                         2.579644
## 107        48 -0.52763274  -7.208860  1.398431                         2.752296
## 108        64 -0.61618614  -7.070274  1.338425                         2.832888
## 109        41 -0.94160854  -8.517193  1.350892                         2.646995
## 110        38 -1.02165125  -8.334872  1.435976                         2.750740
## 111        64 -0.34249031  -7.293418  1.350892                         2.636011
## 112        59 -0.18632958  -6.214608  1.425073                         2.893035
## 113        70 -0.02020271  -5.991465  1.390462                         2.875131
## 114        70 -0.69314718  -7.035589  1.381830                         2.694190
## 115        64 -0.71334989  -6.437752  1.450108                         2.845409
## 117        64 -0.52763274  -7.452482  1.398431                         2.806678
## 118        95 -0.26136476  -7.452482  1.435976                         2.968193
## 121        64 -0.56211892  -7.250246  1.398431                         3.000719
## 123        69 -1.10866262  -8.334872  1.350892                         2.706159
## 124        44 -1.04982212  -7.182192  1.338425                         2.872708
## 126        59 -0.61618614  -7.195437  1.381830                         2.715877
## 128        44 -0.31471074  -6.725434  1.454327                         2.763185
## 129        54 -1.07880966  -7.600902  1.338425                         2.690241
## 130        57 -0.07257069  -6.571283  1.372438                         2.901221
## 131        52 -0.57981850  -7.418581  1.372438                         2.532501
## 132        64 -0.71334989  -7.143478  1.362172                         2.766469
## 133        82 -0.32850407  -5.914504  1.271288                         2.786199
## 134        70  0.18232156  -6.812445  1.398431                         2.791263
## 135        64 -0.57981850  -7.250246  1.308996                         2.893035
## 136        64 -1.04982212  -6.907755  1.412679                         2.905282
## 137        41 -0.73396918  -7.902008  1.381830                         2.568127
## 139        57 -0.49429632  -7.662778  1.338425                         2.665023
## 140        70 -0.26136476  -7.250246  1.398431                         2.860121
## 141        70 -0.22314355  -6.437752  1.419083                         2.604783
## 143        64 -0.82098055  -7.561682  1.350892                         2.767852
## 144        64 -0.32850407  -7.070274  1.372438                         2.911270
## 145        33 -0.96758403  -8.180721  1.350892                         2.674201
## 146        88 -0.18632958  -6.725434  1.381830                         2.950670
## 147        70 -0.32850407  -7.024289  1.412679                         2.858842
## 148        73 -0.30110509  -6.907755  1.425073                         2.908918
## 149        52 -0.52763274  -7.875339  1.381830                         2.790112
## 152       107  0.09531018  -6.571283  1.494568                         2.984412
## 153        95 -0.18632958  -8.111728  1.372438                         2.731131
## 154        62 -0.73396918  -7.542634  1.308996                         2.579644
## 155        59 -0.96758403  -7.986565  1.372438                         2.691833
## 156        67 -0.63487827  -6.991137  1.390462                         2.926626
## 157        85 -0.52763274  -7.957577  1.324552                         2.903482
## 158        62 -0.73396918  -7.799353  1.350892                         2.557619
## 159        23 -0.71334989  -6.917806  1.450108                         2.845892
## 160        62 -0.28768207  -7.452482  1.350892                         2.769220
## 161        64 -0.31471074  -7.706263  1.419083                         2.843211
## 162        49 -0.30110509  -7.751725  1.405814                         2.875866
## 163        34 -1.27296568  -7.561682  1.390462                         2.678590
## 165        57 -0.75502258  -7.402052  1.390462                         2.788951
## 166        64 -0.94160854  -7.728736  1.350892                         2.662160
## 167        64 -0.18632958  -7.875339  1.372438                         2.843948
## 168        46 -0.28768207  -7.418581  1.350892                         2.681164
## 169        70 -0.32850407  -7.182192  1.324552                         2.824491
## 170        82 -0.32850407  -7.013116  1.372438                         2.881391
## 171        54 -0.44628710  -7.323271  1.381830                         2.823909
## 172        43 -0.71334989  -7.323271  1.381830                         2.694967
## 174        54 -0.24846136  -8.421883  1.412679                         2.886307
## 175        70 -0.26136476  -5.914504  1.435976                         2.786199
## 176        64 -0.37106368  -8.873868  1.419083                         2.823031
## 177        44 -0.57981850  -8.016418  1.338425                         2.760303
## 178        34 -0.94160854  -7.799353  1.412679                         2.704715
## 179        70 -0.02020271  -7.323271  1.398431                         2.891000
## 180        82 -0.12783337  -7.369791  1.398431                         3.008161
## 181        29 -0.57981850  -8.254829  1.291400                         2.596327
## 182        64 -0.44628710  -7.435388  1.324552                         2.773241
## 183        64 -0.96758403  -6.645391  1.372438                         2.823325
## 184        70  0.00000000  -7.561682  1.372438                         2.654255
## 185        59 -0.31471074  -6.812445  1.435976                         2.771914
## 186        45 -0.26136476  -7.208860  1.308996                         2.701785
## 189        33 -0.57981850  -7.487574  1.338425                         2.777140
## 190        54 -0.38566248  -7.293418  1.291400                         2.839703
## 191        44 -0.57981850  -7.338538  1.308996                         2.715205
## 192        54 -0.22314355  -7.684284  1.425073                         2.845409
## 193        73 -0.52763274  -7.278819  1.405814                         2.852896
## 194        44 -0.71334989  -7.469874  1.308996                         2.771023
## 195        67 -0.28768207  -7.523941  1.412679                         2.708297
## 197        82 -0.26136476  -7.118476  1.405814                         2.815134
## 198        44 -1.04982212  -7.418581  1.350892                         2.743782
## 200        43 -0.96758403  -7.662778  1.372438                         2.735867
## 201        44 -0.34249031  -7.561682  1.381830                         2.785402
## 202        48 -0.96758403  -8.294050  1.308996                         2.712482
## 205        77 -0.63487827  -7.487574  1.390462                         2.557619
## 208        44 -0.57981850  -6.948577  1.291400                         2.824491
## 210        76 -0.18632958  -7.106206  1.398431                         2.919789
## 212        44 -0.94160854  -7.621105  1.390462                         2.700297
## 213        70 -0.12783337  -6.812445  1.405814                         2.754850
## 214        41 -0.35667494  -7.013116  1.462144                         2.874020
## 215        43 -0.44628710  -7.824046  1.324552                         2.656269
## 216        44 -0.47803580  -6.119298  1.425073                         2.752811
## 218        54 -0.26136476  -6.571283  1.398431                         2.890046
## 219        44 -1.07880966  -7.684284  1.412679                         2.687819
## 220        44 -0.71334989  -7.849364  1.390462                         2.594876
## 223        43 -0.61618614  -6.917806  1.338425                         2.710405
## 224        43 -0.96758403  -7.264430  1.308996                         2.735867
## 225        53 -0.37106368  -7.418581  1.372438                         2.744330
## 226        83 -0.15082289  -7.024289  1.398431                         2.768310
## 227        74 -0.44628710  -6.214608  1.398431                         2.763659
## 228        33 -0.96758403  -7.070274  1.362172                         2.653238
## 229        45 -0.57981850  -7.621105  1.381830                         2.665023
## 230        70 -0.02020271  -7.293418  1.390462                         2.963228
## 231        57 -0.26136476  -6.907755  1.381830                         2.767393
## 232        54 -0.86750057  -7.143478  1.362172                         2.697275
## 233        34 -1.04982212  -7.469874  1.398431                         2.771023
## 234        70 -0.40047757  -7.250246  1.271288                         2.715877
## 236        57 -0.40047757  -7.621105  1.324552                         2.767393
## 237        44 -0.61618614  -7.182192  1.390462                         2.763185
## 239        33 -0.96758403  -8.217089  1.271288                         2.875683
## 240        43 -0.96758403  -8.145630  1.324552                         2.791263
## 241        45 -0.40047757  -8.047190  1.338425                         2.724975
## 242        72 -0.67334455  -7.600902  1.372438                         2.654255
## 243        44 -0.82098055  -6.938214  1.362172                         2.665966
## 244        64 -0.71334989  -7.799353  1.435976                         2.783386
## 245        23 -0.47803580  -8.740337  1.390462                         2.692623
## 246        64 -0.49429632  -7.208860  1.362172                         2.883623
## 247        39 -0.65392647  -8.180721  1.398431                         2.792403
## 249        82 -0.05129329  -7.581100  1.398431                         2.665023
## 250        72 -0.52763274  -7.600902  1.381830                         2.870614
## 251        54 -1.07880966  -7.775256  1.362172                         2.737602
## 253        64 -0.52763274  -6.502290  1.405814                         3.008576
## 254        80 -0.03045921  -7.250246  1.398431                         3.011822
## 255        73 -0.52763274  -8.740337  1.405814                         2.769220
## 256        34 -1.07880966  -8.334872  1.324552                         2.393337
## 257        44 -0.82098055  -7.775256  1.362172                         2.584357
## 258        72 -0.35667494  -6.948577  1.390462                         2.906102
## 260        64 -0.30110509  -6.938214  1.440955                         2.822737
## 261         7 -1.07880966  -8.111728  1.398431                         2.695741
## 262        39 -0.86750057  -7.308233  1.390462                         2.530419
## 263        64 -0.30110509  -7.561682  1.372438                         2.807684
## 264        69 -0.52763274  -6.502290  1.350892                         2.763185
## 265        54 -0.57981850  -7.775256  1.350892                         2.611519
## 267        70 -0.02020271  -7.047017  1.390462                         3.009810
## 268        44 -0.57981850  -7.600902  1.362172                         2.906780
## 269        33 -0.71334989  -7.875339  1.324552                         2.524026
## 270        49 -0.22314355  -7.662778  1.440955                         2.735284
## 271        64 -0.30110509  -6.959049  1.398431                         2.910232
## 272        49 -0.57981850  -7.824046  1.350892                         2.735284
## 273        78 -0.22314355  -7.222466  1.350892                         2.842468
## 274        39 -0.47803580  -7.505592  1.398431                         2.785402
## 275        53 -0.61618614  -8.047190  1.338425                         2.825933
## 277        33 -0.32850407  -6.725434  1.405814                         2.943646
## 278        53 -0.96758403  -6.725434  1.324552                         2.937016
## 279        51 -0.40047757  -7.706263  1.381830                         2.788951
## 281        82 -0.07257069  -6.571283  1.398431                         2.875131
## 282        72 -0.52763274  -8.740337  1.419083                         2.900935
## 283        92 -0.38566248  -6.725434  1.435976                         2.953166
## 287        52 -0.63487827  -7.775256  1.372438                         2.666903
## 289        33 -0.96758403  -7.542634  1.338425                         2.786596
## 290        46 -0.63487827  -7.824046  1.445658                         2.701785
## 291        57  0.00000000  -7.058578  1.475713                         2.839193
## 292        74 -0.37106368  -7.236259  1.350892                         2.848747
## 294        43 -0.82098055  -7.662778  1.308996                         2.627850
## 297        54 -0.94160854  -8.016418  1.350892                         2.751261
## 298        62 -0.94160854  -7.082109  1.291400                         2.657266
## 299        82 -0.40047757  -7.581100  1.372438                         2.788951
## 301        54 -0.94160854  -8.047190  1.362172                         2.620513
## 302        33 -0.96758403  -7.469874  1.271288                         2.584357
## 303        54 -0.38566248  -7.156217  1.308996                         2.760303
## 304        59 -0.31471074  -7.728736  1.445658                         2.700297
## 305        73 -0.30110509  -6.980326  1.390462                         2.905965
## 306        74 -0.24846136  -7.106206  1.412679                         2.732330
## 307        64 -0.37106368  -5.914504  1.372438                         2.945455
## 308        33 -0.96758403  -6.725434  1.381830                         2.781750
## 311        54 -0.71334989  -7.600902  1.412679                         2.854245
## 312        64 -0.52763274  -7.293418  1.390462                         2.810980
## 313        54 -0.71334989  -7.505592  1.440955                         2.800812
## 314        44 -0.38566248  -8.334872  1.324552                         2.568127
## 315        48 -0.61618614  -7.024289  1.372438                         2.846133
## 316        41 -0.57981850  -7.799353  1.338425                         2.603403
## 317        62 -0.52763274  -7.581100  1.350892                         2.766469
## 320        62 -0.44628710  -6.725434  1.308996                         2.666903
## 321        52 -0.86750057  -7.728736  1.324552                         2.738746
## 322        64 -0.41551544  -6.377127  1.398431                         2.863047
## 323        54 -0.15082289  -7.195437  1.338425                         2.913692
## 324        43 -0.71334989  -8.468403  1.271288                         2.847566
## 325        54 -0.47803580  -6.907755  1.398431                         3.006900
## 326        44 -0.71334989  -7.986565  1.398431                         2.864685
## 327        82 -0.02020271  -7.293418  1.398431                         2.897137
## 329        44 -0.61618614  -7.775256  1.405814                         2.749166
## 330        70 -0.26136476  -6.571283  1.381830                         2.713850
## 331        49 -0.71334989  -7.236259  1.372438                         2.678590
## 332        54 -0.57981850  -7.024289  1.362172                         2.748106
## 333        69 -0.08338161  -7.236259  1.350892                         2.862841
##            MIF     MMP10       MMP7 NT_proBNP       PAI_1
## 1   -1.2378744 -3.270169 -3.7735027  4.553877  1.00350156
## 2   -1.8971200 -3.649659 -5.9681907  4.219508 -0.03059880
## 3   -2.3025851 -2.733368 -4.0302269  4.248495  0.43837211
## 5   -1.8971200 -2.617296 -0.2222222  4.465908  0.25230466
## 6   -2.0402208 -3.324236 -1.9223227  4.189655  0.43837211
## 7   -2.1202635 -4.135167 -5.9681907  4.330733  0.00000000
## 8   -1.7719568 -3.688879 -2.4721360  3.828641  0.49054798
## 9   -2.2072749 -4.017384 -5.8446454  5.043425 -0.47754210
## 11  -1.5141277 -3.963316 -3.7735027  4.875197  0.25230466
## 12  -1.7147984 -3.244194 -3.0000000  4.727388  0.25230466
## 14  -2.0402208 -3.575551 -1.3806170  4.691348  0.32004747
## 16  -1.5141277 -3.123566 -4.0302269  5.323010  0.49054798
## 17  -1.9661129 -3.411248 -2.8507125  4.595120  0.32004747
## 18  -2.3330443 -3.963316 -1.2879797  3.931826  0.32004747
## 19  -1.7147984 -4.074542 -3.3452248  4.290459  0.53887915
## 20  -2.3538784 -2.563950 -0.6037782  3.784190  0.85893499
## 21  -1.4696760 -3.324236 -3.3452248  5.262690 -0.65480247
## 22  -1.4696760 -3.611918 -4.0302269  4.828314 -0.15428707
## 23  -2.1202635 -4.135167 -6.3770782  3.663562 -0.04107298
## 24  -1.7147984 -3.381395 -4.3245553  4.709530 -0.21752413
## 25  -2.1202635 -3.506558 -4.0302269  4.672829 -0.72247798
## 26  -1.5606477 -3.381395 -3.5470020  4.499810  0.09396047
## 28  -1.8971200 -3.381395 -4.0302269  4.465908 -0.05168998
## 29  -1.8971200 -3.772261 -2.2640143  3.931826 -0.87443088
## 30  -2.4079456 -3.863233 -3.7735027  4.317488 -0.14221210
## 31  -2.1202635 -3.244194 -3.3452248  4.828314  0.09396047
## 34  -1.8971200 -3.270169 -2.8507125  4.770685  0.58384004
## 35  -1.8325815 -3.506558 -2.5883147  4.605170  0.00000000
## 36  -1.8325815 -3.218876 -0.7216553  4.718499  0.00000000
## 37  -1.4696760 -3.218876 -3.7735027  4.595120  0.09396047
## 38  -1.7147984 -3.270169 -4.7040152  4.605170  0.25230466
## 39  -1.8325815 -4.074542 -4.5938047  4.262680  0.09396047
## 40  -2.1202635 -3.912023 -1.6514837  4.499810  0.32004747
## 41  -1.5141277 -3.270169 -3.7735027  4.983607  0.25230466
## 42  -1.7719568 -3.816713 -4.3245553  4.700480 -0.11859478
## 43  -2.2072749 -3.218876 -3.1639778  4.304065 -0.28605071
## 44  -1.8971200 -3.123566 -4.4888568  4.736198  0.62582535
## 45  -1.3470736 -2.764621 -2.1702883  4.634729  0.17742506
## 46  -1.8325815 -3.270169 -1.1622777  4.499810  0.17742506
## 47  -1.8325815 -3.649659 -2.8507125  4.976734 -0.11859478
## 48  -1.1711830 -3.816713 -4.0302269  4.919981  0.49054798
## 50  -1.6607312 -2.645075 -3.5470020  5.129899  0.17742506
## 51  -1.9661129 -4.074542 -4.6666667  4.795791 -0.40885871
## 53  -1.8971200 -3.411248 -3.7735027  4.127134  0.09396047
## 55  -2.1202635 -3.540459 -6.6874449  4.127134  0.09396047
## 56  -1.8325815 -3.729701 -4.3245553  5.062595  0.17742506
## 57  -1.2729657 -3.442019 -2.8507125  4.574711  0.49054798
## 59  -1.7147984 -3.772261 -3.0000000  5.036953  1.10005082
## 60  -2.2072749 -4.074542 -4.3887656  4.736198 -0.27188464
## 61  -2.1202635 -4.017384 -3.5470020  4.488636 -0.25795574
## 62  -2.3538784 -4.422849 -6.7705802  4.574711 -0.55204550
## 63  -1.5606477 -3.688879 -3.7735027  4.948760 -0.01006550
## 64  -1.6607312 -3.101093 -1.0151134  5.181784  0.76993928
## 65  -2.0402208 -3.649659 -4.0302269  4.143135  0.09396047
## 67  -1.3470736 -3.772261 -6.3045480  4.859812 -0.16654597
## 68  -1.1394343 -3.540459 -4.3245553  3.610918 -0.04107298
## 69  -2.2072749 -4.342806 -5.7849894  4.304065 -0.11859478
## 70  -1.6607312 -3.324236 -3.3452248  5.003946  0.17742506
## 71  -2.1202635 -4.135167 -4.0302269  4.605170  0.73700033
## 72  -1.7147984 -3.506558 -4.0302269  4.634729  0.09396047
## 73  -1.6094379 -3.324236 -5.2074997  4.795791  0.58384004
## 74  -2.3751558 -2.995732 -2.0000000  4.406719  0.49054798
## 75  -2.3330443 -3.015935 -2.4721360  4.820282  0.58384004
## 76  -1.5141277 -2.577022 -2.7140452  4.770685  0.73700033
## 77  -1.5606477 -3.473768 -4.5582584  4.727388  0.76993928
## 78  -1.6607312 -3.036554 -3.1639778  4.990433  0.83076041
## 80  -1.6094379 -3.411248 -2.3643578  4.770685  0.17742506
## 81  -1.8971200 -3.540459 -3.7735027  4.859812 -0.14221210
## 82  -1.8971200 -3.473768 -4.0302269  4.406719  0.17742506
## 83  -1.8971200 -3.411248 -3.5470020  4.595120 -0.16654597
## 84  -1.6607312 -3.575551 -3.3452248  4.543295  0.32004747
## 85  -1.7147984 -3.688879 -3.7735027  5.468060  0.43837211
## 86  -1.4696760 -3.123566 -2.7140452  5.117994  0.25230466
## 88  -1.2729657 -3.270169 -3.1639778  4.727388  0.38177502
## 90  -2.3025851 -4.509860 -8.3975049  3.178054 -0.63330256
## 93  -1.8325815 -3.688879 -3.5470020  4.317488  0.38177502
## 94  -1.4271164 -2.645075 -1.4299717  5.886104  0.80114069
## 95  -2.1202635 -3.688879 -2.7140452  4.762174  0.17742506
## 96  -1.6094379 -3.816713 -3.3452248  4.521789 -0.23078200
## 97  -2.0402208 -3.649659 -4.5938047  4.543295 -0.05168998
## 98  -2.2072749 -4.342806 -7.3250481  4.477337 -0.51401261
## 99  -2.1202635 -3.963316 -3.5935279  4.290459  0.62582535
## 100 -1.8971200 -3.649659 -5.1611487  4.634729  0.25230466
## 103 -1.8325815 -2.995732 -3.2335542  4.663439  0.43837211
## 104 -1.5606477 -3.963316 -4.8199434  4.430817 -0.17899381
## 105 -1.8971200 -3.863233 -5.5592895  4.454347 -0.27188464
## 107 -1.6607312 -3.575551 -1.3806170  4.369448  0.00000000
## 108 -2.0402208 -3.912023 -1.9223227  4.682131  0.09396047
## 109 -2.4304185 -4.667046 -7.5346259  4.465908 -0.24425708
## 110 -2.2072749 -3.963316 -4.3245553  4.043051 -0.06245326
## 111 -1.4271164 -3.575551 -1.2879797  4.110874 -0.47754210
## 112 -1.5606477 -2.631089 -3.3452248  5.323010  0.17742506
## 113 -1.9661129 -2.995732 -2.3643578  4.787492  0.70214496
## 114 -2.1202635 -4.199705 -5.1156807  4.543295 -0.24425708
## 115 -1.5606477 -3.381395 -2.2640143  4.700480 -0.13031621
## 117 -1.8971200 -3.575551 -4.3564173  4.812184  0.38177502
## 118 -1.1086626 -2.207275 -2.3643578  4.700480  0.83076041
## 121 -1.6607312 -3.575551 -0.4253563  5.062595  0.53887915
## 123 -2.5510465 -4.199705 -2.0000000  4.304065 -0.42552800
## 124 -1.7719568 -3.863233 -3.1639778  4.875197  0.00000000
## 126 -1.8971200 -4.268698 -4.8199434  4.912655 -0.19163579
## 128 -1.8971200 -3.272534 -1.2025631  4.962845  0.95939061
## 129 -2.1202635 -4.017384 -5.9056942  4.624973 -0.57168558
## 130 -1.9661129 -4.017384 -3.7735027  5.159055  0.25230466
## 131 -2.3126354 -3.863233 -5.0710678  4.025352 -0.34523643
## 132 -2.2072749 -3.506558 -4.0302269  4.442651 -0.08443323
## 133 -1.8325815 -3.912023 -2.4721360  4.672829  0.09396047
## 134 -1.0216512 -2.813411 -0.5000000  4.727388  0.43837211
## 135 -1.9661129 -4.017384 -4.3245553  4.584967  0.00000000
## 136 -2.0402208 -3.575551 -2.4721360  4.727388  0.43837211
## 137 -2.2072749 -3.963316 -4.6299354  4.488636 -0.01006550
## 139 -1.7719568 -3.442019 -3.3452248  4.543295 -0.59176325
## 140 -1.4271164 -3.729701 -4.0302269  4.406719  0.00000000
## 141 -1.8325815 -4.074542 -3.1639778  4.820282  0.25230466
## 143 -2.1202635 -3.688879 -3.5470020  4.574711  0.00000000
## 144 -2.0402208 -3.912023 -3.7735027  4.276666  0.49054798
## 145 -2.3025851 -4.074542 -5.0272837  4.276666 -0.63330256
## 146 -1.6094379 -2.975930 -2.1702883  4.406719  0.43837211
## 147 -1.2378744 -3.270169 -3.7735027  4.634729  0.43837211
## 148 -1.8325815 -3.411248 -1.7139068  4.543295  0.09396047
## 149 -2.2072749 -3.688879 -1.7139068  4.290459 -0.27188464
## 152 -0.8439701 -3.244194 -2.0824829  4.682131  0.88578467
## 153 -1.7147984 -3.473768 -3.5470020  4.672829  0.00000000
## 154 -2.1202635 -4.422849 -5.9681907  3.806662 -0.36070366
## 155 -1.8971200 -3.963316 -5.2547625  4.442651 -0.24425708
## 156 -2.3126354 -3.506558 -1.1622777  4.369448  0.43837211
## 157 -1.9661129 -3.912023 -3.1639778  4.770685  1.00350156
## 158 -2.0402208 -3.575551 -5.1611487  3.828641 -0.51401261
## 159 -2.1202635 -4.074542 -4.3245553  4.859812  0.17742506
## 160 -1.8971200 -3.540459 -4.5582584  4.454347 -0.07336643
## 161 -1.7147984 -3.963316 -5.0710678  5.081404 -0.69936731
## 162 -1.2378744 -4.074542 -3.7735027  4.406719 -0.07336643
## 163 -2.0402208 -4.509860 -6.6874449  4.262680 -0.57168558
## 165 -1.6607312 -3.473768 -3.5470020  4.499810  0.25230466
## 166 -1.7719568 -4.074542 -5.4023321  4.624973 -0.31512364
## 167 -1.4696760 -2.864704 -1.5921060  4.605170 -0.42552800
## 168 -2.3025851 -3.772261 -0.9814240  4.025352 -0.42552800
## 169 -2.1202635 -4.342806 -2.0000000  4.465908  0.00000000
## 170 -1.4696760 -4.933674 -2.0000000  4.499810 -0.10704332
## 171 -1.8325815 -3.270169 -4.9421013  4.948760 -0.45985790
## 172 -2.2072749 -4.074542 -5.2074997  4.510860 -0.65480247
## 174 -1.7147984 -3.101093 -1.5921060  4.595120  0.17742506
## 175 -1.8325815 -2.343407 -2.5883147  4.584967  0.58384004
## 176 -1.7147984 -3.912023 -5.0710678  5.003946  0.32004747
## 177 -1.8325815 -3.473768 -4.7419986  4.770685  0.25230466
## 178 -1.9661129 -3.688879 -4.0302269  4.682131 -0.82104815
## 179 -2.3751558 -2.659260 -2.1884251  4.983607 -0.01006550
## 180 -1.8971200 -3.649659 -2.0000000  4.727388 -0.10704332
## 181 -2.1202635 -4.135167 -5.5592895  4.382027  0.17742506
## 182 -1.8971200 -3.912023 -5.0710678  4.553877  0.49054798
## 183 -2.5133061 -3.611918 -3.7735027  4.406719  0.17742506
## 184 -1.3093333 -3.473768 -5.4023321  4.653960  0.38177502
## 185 -2.0402208 -3.324236 -4.4549722  4.948760  0.49054798
## 186 -1.8325815 -3.688879 -5.0272837  4.304065 -0.08443323
## 189 -1.6607312 -3.772261 -6.0321933  4.672829  0.09396047
## 190 -1.6607312 -3.912023 -4.0302269  4.174387  0.32004747
## 191 -1.7147984 -3.101093 -6.8561489  4.700480 -0.63330256
## 192 -1.4271164 -3.473768 -4.3245553  4.382027  0.25230466
## 193 -1.4696760 -3.473768 -3.5470020  5.283204  1.00350156
## 194 -2.0402208 -3.688879 -2.8507125  4.787492  0.17742506
## 195 -2.0402208 -3.473768 -1.1234752  4.488636  0.43837211
## 197 -0.9416085 -3.575551 -2.2640143  5.204007 -0.25795574
## 198 -2.1202635 -4.135167 -5.5058663  4.077537 -0.82104815
## 200 -1.6607312 -3.575551 -4.0302269  4.812184  0.00000000
## 201 -1.8325815 -3.540459 -3.3452248  4.204693 -0.06245326
## 202 -2.2072749 -4.074542 -6.6066297  4.204693 -0.49558921
## 205 -1.8971200 -3.411248 -2.0000000  4.369448  0.32004747
## 208 -2.0402208 -3.816713 -5.0710678  4.382027 -0.27188464
## 210 -2.2072749 -3.170086 -3.0000000  5.241747  0.53887915
## 212 -1.8325815 -4.342806 -4.0302269  4.644391 -0.20447735
## 213 -1.9661129 -3.101093 -3.0000000  4.836282 -0.08443323
## 214 -2.0402208 -3.218876 -3.3452248  4.304065  1.16610855
## 215 -1.9661129 -3.912023 -1.6514837  4.430817 -0.39250510
## 216 -2.1202635 -3.473768 -4.4549722  3.663562  0.25230466
## 218 -1.9661129 -3.381395 -2.2640143  4.204693  0.66516665
## 219 -1.8971200 -4.199705 -5.1611487  4.787492 -0.15428707
## 220 -1.8325815 -3.816713 -5.8446454  4.897840 -0.65480247
## 223 -2.1202635 -3.575551 -3.3452248  4.828314 -0.51401261
## 224 -2.0402208 -3.912023 -5.8446454  4.304065  0.00000000
## 225 -1.8971200 -4.135167 -5.5058663  4.394449  0.17742506
## 226 -1.7147984 -3.575551 -3.0000000  4.442651  0.43837211
## 227 -2.3859667 -3.649659 -3.0000000  4.077537  0.00000000
## 228 -2.3025851 -3.963316 -1.4299717  4.553877 -0.63330256
## 229 -2.0402208 -3.270169 -0.4077171  4.248495 -0.21752413
## 230 -1.2729657 -3.123566 -2.7140452  4.691348  0.43837211
## 231 -1.9661129 -3.912023 -4.4888568  4.595120  0.00000000
## 232 -1.7719568 -4.135167 -5.3521462  4.143135  0.00000000
## 233 -2.1202635 -3.688879 -5.3029674  4.043051 -0.24425708
## 234 -1.8971200 -3.352407 -3.3452248  4.521789 -0.61229604
## 236 -2.0402208 -3.575551 -4.0302269  4.382027 -0.65480247
## 237 -1.8971200 -3.688879 -4.0302269  4.574711 -0.09565753
## 239 -2.3859667 -4.199705 -4.0302269  4.394449  0.09396047
## 240 -2.1202635 -4.017384 -4.0302269  4.442651 -0.42552800
## 241 -1.6607312 -3.611918 -3.7735027  4.859812  0.00000000
## 242 -2.6736488 -3.506558 -1.7796447  3.828641  0.25230466
## 243 -2.0402208 -3.772261 -4.6299354  5.075174  0.49054798
## 244 -1.7147984 -3.079114 -3.7735027  5.225747  0.85893499
## 245 -2.3968958 -4.342806 -6.4515425  3.871201 -0.16654597
## 246 -2.3330443 -3.324236 -2.7140452  4.510860  0.25230466
## 247 -1.8325815 -3.863233 -4.7806350  4.553877 -0.57168558
## 249 -1.4696760 -3.863233 -5.4023321  4.820282  0.00000000
## 250 -2.3025851 -3.611918 -4.5582584  4.234107  0.09396047
## 251 -1.8325815 -4.017384 -4.6299354  4.553877 -0.55204550
## 253 -1.8325815 -3.863233 -2.7140452  4.962845  0.58384004
## 254 -1.8325815 -3.036554 -2.3643578  5.411646  0.09396047
## 255 -1.4271164 -3.270169 -2.2640143  4.875197  0.09396047
## 256 -1.7719568 -4.342806 -6.3770782  4.859812 -0.59176325
## 257 -2.3330443 -3.863233 -5.7266741  4.543295 -0.37645673
## 258 -1.8971200 -3.270169 -3.1639778  4.553877  0.09396047
## 260 -1.7719568 -3.611918 -6.6066297  4.204693  0.09396047
## 261 -2.3751558 -4.342806 -7.1287093  4.406719 -0.07336643
## 262 -1.6094379 -4.422849 -5.7266741  4.077537 -0.53282641
## 263 -1.2378744 -3.772261 -1.2879797  3.871201 -0.15428707
## 264 -2.0402208 -3.442019 -2.0824829  5.707110  0.17742506
## 265 -1.9661129 -3.863233 -6.0977633  3.433987  0.09396047
## 267 -1.4696760 -3.816713 -2.0000000  4.882802  0.66516665
## 268 -1.2729657 -3.296837 -3.5470020  4.465908 -0.47754210
## 269 -2.2072749 -4.342806 -5.5058663  4.624973 -0.99084860
## 270 -1.5606477 -4.135167 -1.8490018  4.025352 -0.07336643
## 271 -1.5606477 -3.352407 -2.2640143  4.488636 -0.02026405
## 272 -1.5141277 -4.605170 -4.4216130  4.564348 -0.10704332
## 273 -1.3862944 -3.506558 -3.0000000  4.043051  0.32004747
## 274 -1.6094379 -3.963316 -5.6696499  3.970292 -0.03059880
## 275 -1.7719568 -3.540459 -4.0302269  4.442651  0.17742506
## 277 -1.9661129 -3.611918 -1.7139068  4.143135  0.53887915
## 278 -2.2072749 -3.772261 -3.1639778  4.663439 -0.10704332
## 279 -1.8971200 -4.017384 -3.1639778  4.753590 -0.13031621
## 281 -1.7719568 -3.170086 -3.3452248  4.276666  0.70214496
## 282 -1.8971200 -3.194183 -3.7735027  3.828641  0.38177502
## 283 -1.5545112 -3.473768 -4.0302269  4.477337  0.43837211
## 287 -2.1202635 -3.218876 -3.7735027  4.454347  0.09396047
## 289 -2.5383074 -4.342806 -5.3029674  3.951244 -0.23078200
## 290 -2.1202635 -3.649659 -3.5470020  3.610918  0.09396047
## 291 -1.4271164 -2.830218 -0.9814240  4.356709  0.70214496
## 292 -1.8325815 -3.381395 -4.0302269  4.779123  0.32004747
## 294 -2.4769385 -3.963316 -6.0977633  4.553877 -0.55204550
## 297 -2.0402208 -4.199705 -4.3887656  4.564348 -0.16654597
## 298 -2.5010360 -3.963316 -5.5058663  3.951244  0.00000000
## 299 -1.4271164 -3.772261 -5.1156807  4.927254  0.09396047
## 301 -1.8325815 -4.268698 -4.4549722  4.356709 -0.17899381
## 302 -2.8473123 -3.863233 -4.0302269  4.343805 -0.63330256
## 303 -1.9661129 -4.268698 -5.2547625  4.442651 -0.20447735
## 304 -1.6094379 -3.079114 -3.0000000  5.111988  0.62582535
## 305 -1.3862944 -3.540459 -3.7735027  4.682131  0.73700033
## 306 -1.7147984 -3.729701 -4.4216130  4.595120  0.38177502
## 307 -1.8325815 -3.324236 -3.5470020  4.779123  0.85893499
## 308 -1.7719568 -3.816713 -6.9442719  4.595120  0.09396047
## 311 -2.1202635 -3.649659 -3.7735027  4.770685 -0.11859478
## 312 -1.6607312 -3.296837 -3.7735027  4.912655  0.32004747
## 313 -1.7719568 -4.074542 -5.0710678  4.317488  0.17742506
## 314 -1.5141277 -3.863233 -6.5280287  4.709530 -0.17899381
## 315 -1.9661129 -3.688879 -3.7735027  4.418841 -0.09565753
## 316 -2.0402208 -3.688879 -5.1611487  4.290459  0.25230466
## 317 -2.2072749 -3.381395 -4.9421013  4.653960 -0.04107298
## 320 -2.3025851 -3.381395 -4.6299354  4.465908 -0.28605071
## 321 -2.6310892 -4.199705 -4.6666667  3.784190 -0.10704332
## 322 -1.8971200 -3.649659 -0.8867513  4.912655  0.49054798
## 323 -1.3862944 -3.540459 -3.5470020  5.135798  0.32004747
## 324 -1.6607312 -3.963316 -6.3045480  4.875197  0.25230466
## 325 -1.7719568 -3.352407 -4.3245553  4.488636  0.85893499
## 326 -1.9661129 -3.352407 -3.7735027  4.510860  0.09396047
## 327 -1.1086626 -3.381395 -0.7472113  4.890349  0.53887915
## 329 -1.8971200 -3.506558 -4.9843030  4.465908  0.17742506
## 330 -2.5010360 -3.352407 -1.2025631  4.744932  0.09396047
## 331 -1.6607312 -3.912023 -6.1649658  4.304065 -0.09565753
## 332 -1.2729657 -3.816713 -3.7735027  4.189655  0.17742506
## 333 -1.3093333 -3.772261 -5.5058663  4.465908 -0.53282641
##     Pancreatic_polypeptide     TNF_RII    TRAIL_R3
## 1               0.57878085 -0.06187540 -0.18290044
## 2               0.33647224 -0.32850407 -0.50074709
## 3              -0.89159812 -0.41551544 -0.92403445
## 5               0.26236426 -0.34249031 -0.85825911
## 6              -0.47803580 -0.94160854 -0.73800921
## 7              -0.59783700 -0.77652879 -0.62997381
## 8              -0.31471074 -0.91629073 -0.56347899
## 9              -0.52763274 -0.94160854 -0.75712204
## 11             -1.27296568 -0.51082562 -0.37116408
## 12              1.16315081 -0.71334989 -0.68264012
## 14             -0.37106368 -0.61618614 -0.54746226
## 16              0.33647224 -0.28768207 -0.48559774
## 17              0.78845736 -0.69314718  0.00000000
## 18             -0.59783700 -0.77652879 -0.75712204
## 19              0.18232156 -0.79850770 -0.41274719
## 20             -0.26136476 -0.75502258 -0.85825911
## 21              0.69314718 -0.65392647  0.26936976
## 22             -1.23787436 -0.04082199 -0.20634242
## 23             -0.82098055 -0.59783700 -0.56347899
## 24             -0.04082199 -0.43078292 -0.25465110
## 25             -1.27296568 -0.82098055 -0.70078093
## 26              0.09531018 -0.43078292 -0.37116408
## 28              0.40546511 -0.22314355 -0.70078093
## 29              0.09531018 -1.02165125 -0.83723396
## 30              0.09531018 -0.89159812 -0.94693458
## 31              0.33647224 -0.73396918 -0.62997381
## 34              0.91629073 -0.65392647 -0.13734056
## 35              0.53062825 -0.89159812 -0.64724718
## 36             -0.75502258 -0.67334455 -0.68264012
## 37             -0.10536052 -0.30110509 -0.34425042
## 38             -0.63487827 -0.65392647 -0.56347899
## 39             -0.71334989 -0.46203546 -0.57973042
## 40             -0.51082562 -0.44628710 -0.47064906
## 41              0.18232156 -0.75502258 -0.47064906
## 42             -1.27296568 -0.69314718 -0.73800921
## 43              0.00000000 -0.86750057 -0.48559774
## 44              0.47000363 -0.24846136 -0.64724718
## 45              0.64185389 -0.02020271 -0.21823750
## 46             -0.26136476 -0.38566248 -0.57973042
## 47              0.18232156 -0.79850770 -0.64724718
## 48              0.69314718 -0.27443685 -0.13734056
## 50             -0.41551544 -0.54472718  0.00000000
## 51             -0.96758403 -0.38566248 -0.73800921
## 53             -0.34249031 -0.71334989 -0.53167272
## 55              0.26236426 -0.63487827 -0.47064906
## 56             -0.46203546 -0.63487827 -0.37116408
## 57              1.06471074 -0.31471074 -0.27956244
## 59             -0.32850407 -0.30110509 -0.56347899
## 60              0.95551145 -0.59783700 -0.53167272
## 61             -0.09431068 -1.04982212 -0.79641472
## 62             -0.73396918 -1.20397280 -1.09654116
## 63              0.91629073 -0.27443685 -0.33102365
## 64              0.83290912 -0.44628710 -0.44133043
## 65              0.83290912 -0.73396918 -0.68264012
## 67             -0.32850407 -0.18632958 -0.56347899
## 68              0.26236426 -0.51082562 -0.31794508
## 69             -0.16251893 -1.04982212 -1.09654116
## 70              0.26236426 -0.61618614 -0.39871863
## 71              0.40546511 -0.46203546 -0.61296931
## 72             -0.59783700  0.33647224 -0.21823750
## 73              0.26236426 -0.03045921 -0.30501103
## 74              0.53062825 -1.34707365 -0.90163769
## 75              0.69314718 -0.67334455 -0.77658561
## 76              1.02961942  0.00000000 -0.30501103
## 77              0.83290912 -0.41551544 -0.31794508
## 78              1.52605630 -0.06187540 -0.10425819
## 80              0.33647224 -0.65392647 -0.47064906
## 81             -0.63487827 -0.59783700 -0.62997381
## 82              0.09531018 -0.44628710 -0.68264012
## 83             -0.40047757 -0.82098055 -0.44133043
## 84             -0.63487827 -0.57981850 -0.54746226
## 85             -0.32850407 -0.31471074 -0.37116408
## 86              1.93152141 -0.26136476 -0.30501103
## 88              0.47000363 -0.30110509 -0.17134851
## 90             -0.40047757 -1.38629436 -0.81662520
## 93              0.18232156 -0.24846136 -0.44133043
## 94              1.25276297  0.47000363  0.00000000
## 95              0.47000363 -0.63487827 -0.54746226
## 96             -0.79850770 -0.63487827 -0.54746226
## 97             -0.67334455 -0.51082562 -0.71923319
## 98             -1.02165125 -1.10866262 -0.92403445
## 99              0.91629073 -0.19845094 -0.57973042
## 100            -0.23572233 -0.49429632 -0.48559774
## 103            -0.19845094 -0.05129329 -0.38485910
## 104             0.26236426 -0.44628710 -0.45589516
## 105             0.26236426 -0.59783700 -0.75712204
## 107            -0.16251893 -0.59783700 -0.47064906
## 108            -0.03045921 -0.51082562 -0.61296931
## 109            -0.71334989 -0.94160854 -1.21070858
## 110            -2.12026354 -0.89159812 -0.75712204
## 111            -0.40047757 -0.77652879 -0.75712204
## 112             1.64865863 -0.27443685 -0.27956244
## 113             0.69314718  0.00000000 -0.42694948
## 114            -0.73396918 -1.07880966 -0.83723396
## 115             1.09861229 -0.71334989 -0.42694948
## 117             0.18232156 -0.47803580 -0.42694948
## 118            -1.27296568 -0.18632958 -0.42694948
## 121             0.18232156  0.09531018 -0.13734056
## 123            -0.23572233 -1.13943428 -0.99435191
## 124             0.09531018 -0.44628710 -0.20634242
## 126            -0.52763274 -0.84397007 -0.38485910
## 128             0.47000363 -0.43078292 -0.27956244
## 129            -0.75502258 -1.23787436 -0.70078093
## 130             0.58778666 -0.44628710 -0.39871863
## 131             0.78845736 -0.94160854 -0.87972006
## 132            -0.31471074 -0.67334455 -0.62997381
## 133            -0.52763274 -0.57981850 -0.92403445
## 134             1.25276297 -0.44628710 -0.31794508
## 135            -0.31471074 -0.52763274 -0.53167272
## 136             0.69314718 -0.65392647 -0.38485910
## 137            -0.34249031 -1.13943428 -1.04412698
## 139            -0.47803580 -0.86750057 -0.47064906
## 140             1.19392247 -0.69314718 -0.48559774
## 141             0.18232156 -0.41551544 -0.34425042
## 143             0.99325177 -1.02165125 -0.61296931
## 144             0.58778666 -0.52763274 -0.64724718
## 145            -0.86750057 -0.89159812 -0.39871863
## 146             1.33500107 -0.17435339 -0.53167272
## 147             0.78845736 -0.15082289 -0.47064906
## 148             0.00000000 -0.52763274 -0.94693458
## 149            -1.10866262 -0.71334989 -0.97036428
## 152             1.13140211  0.00000000 -0.18290044
## 153             0.64185389 -0.56211892 -0.41274719
## 154            -0.71334989 -0.86750057 -0.85825911
## 155            -0.86750057 -0.79850770 -0.75712204
## 156            -0.26136476 -0.41551544 -0.61296931
## 157             0.26236426 -0.67334455 -0.42694948
## 158            -0.96758403 -0.79850770 -0.81662520
## 159             0.18232156 -0.91629073 -0.75712204
## 160             0.33647224 -0.26136476 -0.59622443
## 161            -1.27296568 -0.43078292 -0.30501103
## 162            -0.40047757 -0.38566248 -0.42694948
## 163            -0.96758403 -0.94160854 -0.75712204
## 165            -1.07880966 -0.40047757 -0.44133043
## 166            -0.23572233 -0.75502258 -0.79641472
## 167            -1.34707365 -0.26136476 -0.30501103
## 168            -0.82098055 -0.38566248 -0.62997381
## 169            -0.47803580 -0.86750057 -0.51610326
## 170            -0.61618614 -0.75502258 -0.47064906
## 171            -0.09431068 -0.59783700 -0.38485910
## 172            -0.16251893 -1.10866262 -0.62997381
## 174             0.83290912 -0.51082562 -0.51610326
## 175             0.33647224 -0.24846136 -0.31794508
## 176             0.64185389 -0.69314718 -0.56347899
## 177            -0.16251893 -0.54472718 -0.68264012
## 178            -0.99425227 -1.30933332 -0.51610326
## 179            -0.34249031 -0.26136476 -0.54746226
## 180             0.58194114  0.09531018 -0.21823750
## 181            -0.47803580 -0.91629073 -0.97036428
## 182            -0.09431068 -0.75502258 -0.61296931
## 183            -1.42711636 -0.86750057 -0.68264012
## 184            -0.31471074 -0.63487827 -0.37116408
## 185             0.78845736 -0.56211892 -0.15990607
## 186             0.64185389 -0.82098055 -0.30501103
## 189             1.56861592 -0.52763274 -0.68264012
## 190            -0.40047757 -0.35667494 -0.47064906
## 191            -1.96611286 -0.69314718 -0.68264012
## 192             1.30833282 -0.15082289 -0.38485910
## 193             0.87546874 -0.32850407 -0.47064906
## 194            -0.52763274 -0.75502258 -0.70078093
## 195            -0.46203546 -0.24846136 -0.47064906
## 197            -0.23572233 -0.24846136 -0.06149412
## 198            -1.23787436 -0.91629073 -0.79641472
## 200            -0.49429632 -0.59783700 -0.79641472
## 201            -0.23572233 -0.77652879 -0.38485910
## 202            -0.86750057 -1.13943428 -0.79641472
## 205            -0.41551544 -0.73396918 -0.59622443
## 208             0.00000000 -0.54472718 -0.62997381
## 210             0.47000363 -0.28768207 -0.21823750
## 212             1.93152141 -0.89159812 -0.71923319
## 213             1.19392247 -0.46203546 -0.41274719
## 214             0.87546874 -0.32850407 -0.71923319
## 215             0.47000363 -0.75502258 -0.68264012
## 216            -0.31471074 -1.07880966 -0.38485910
## 218            -0.01005034 -0.82098055 -0.51610326
## 219             0.87546874 -1.02165125 -0.68264012
## 220            -0.37106368 -0.96758403 -0.71923319
## 223             0.91629073 -0.59783700 -0.62997381
## 224            -0.73396918 -0.89159812 -0.70078093
## 225            -0.49429632 -0.26136476 -0.34425042
## 226             0.18232156  0.09531018 -0.41274719
## 227             1.19392247 -0.63487827 -0.50074709
## 228            -0.31471074 -0.94160854 -0.71923319
## 229            -0.73396918 -1.07880966 -0.57973042
## 230             1.62924054 -0.26136476 -0.42694948
## 231            -0.67334455 -0.65392647 -0.51610326
## 232            -0.40047757 -0.73396918 -0.42694948
## 233            -0.63487827 -0.96758403 -0.90163769
## 234             0.74193734 -0.79850770 -0.56347899
## 236            -0.94160854 -0.84397007 -0.56347899
## 237             1.09861229 -0.67334455 -0.51610326
## 239            -0.16251893 -0.99425227 -0.77658561
## 240             0.18232156 -0.96758403 -0.83723396
## 241            -0.31471074 -0.65392647 -0.54746226
## 242             0.99325177 -0.44628710 -0.35762924
## 243            -0.02020271 -1.07880966 -0.75712204
## 244             0.74193734 -0.30110509 -0.41274719
## 245            -0.40047757 -1.38629436 -0.77658561
## 246             0.58778666 -0.51082562 -0.41274719
## 247            -0.16251893 -1.07880966 -0.70078093
## 249            -1.07880966 -0.03045921 -0.15990607
## 250            -0.82098055 -0.51082562 -0.50074709
## 251             0.09531018 -0.82098055 -0.68264012
## 253             0.33647224 -0.41551544 -0.42694948
## 254            -0.59783700  0.26236426  0.18568645
## 255            -0.63487827 -0.22314355  0.00000000
## 256             0.53062825 -1.04982212 -0.64724718
## 257            -0.09431068 -1.13943428 -0.64724718
## 258             0.33647224 -0.34249031 -0.34425042
## 260            -0.69314718 -0.69314718 -0.41274719
## 261             0.00000000 -0.91629073 -0.71923319
## 262            -0.69314718 -1.10866262 -0.90163769
## 263            -1.13943428 -0.47803580 -0.47064906
## 264             0.60449978 -0.38566248 -0.06149412
## 265             0.91629073 -0.75502258 -0.81662520
## 267             0.83290912 -0.02020271 -0.18290044
## 268             0.40546511 -0.34249031 -0.44133043
## 269            -1.42711636 -0.75502258 -0.34425042
## 270            -0.47803580 -0.19845094 -0.41274719
## 271            -0.23572233 -0.17435339 -0.20634242
## 272            -0.23572233 -0.77652879 -0.53167272
## 273             0.09531018 -0.22314355 -0.38485910
## 274            -1.13943428 -0.57981850 -0.38485910
## 275            -0.49429632 -0.26136476 -0.85825911
## 277             0.53062825 -0.57981850 -0.48559774
## 278             0.18232156 -0.41551544 -0.53167272
## 279            -0.94160854 -0.61618614 -0.57973042
## 281             0.18232156 -0.44628710 -0.21823750
## 282             0.33647224 -0.82098055 -0.73800921
## 283             0.58778666 -0.10536052 -0.29221795
## 287             0.26236426 -0.40047757 -0.42694948
## 289            -0.59783700 -1.07880966 -0.92403445
## 290             0.33647224 -0.71334989 -0.42694948
## 291            -0.10536052 -0.17435339 -0.35762924
## 292            -0.23572233 -0.26136476 -0.37116408
## 294            -1.02165125 -1.02165125 -0.50074709
## 297             0.74193734 -0.89159812 -0.64724718
## 298             0.09531018 -0.96758403 -0.77658561
## 299            -0.94160854 -0.54472718 -0.37116408
## 301            -0.41551544 -0.99425227 -0.71923319
## 302            -0.86750057 -1.66073121 -0.87972006
## 303            -0.16251893 -0.82098055 -0.70078093
## 304             0.18232156 -0.19845094 -0.29221795
## 305             0.09531018 -0.40047757 -0.54746226
## 306             0.18232156 -0.15082289 -0.48559774
## 307             0.99325177 -0.16251893 -0.21823750
## 308             0.99325177 -0.56211892 -0.56347899
## 311            -0.41551544 -0.67334455 -0.35762924
## 312             0.78845736 -0.46203546 -0.21823750
## 313             0.00000000 -0.82098055 -0.83723396
## 314            -0.96758403 -0.77652879 -0.66479918
## 315            -0.16251893 -0.67334455 -0.56347899
## 316             0.09531018 -0.52763274 -1.15193183
## 317            -0.34249031 -0.37106368 -0.59622443
## 320             0.40546511 -0.91629073 -0.75712204
## 321             0.26236426 -1.02165125 -1.01892829
## 322            -0.52763274 -0.40047757 -0.37116408
## 323             0.53062825 -0.46203546 -0.31794508
## 324             0.58778666 -0.71334989 -0.59622443
## 325             0.78845736 -0.47803580 -0.68264012
## 326            -0.04082199 -0.40047757 -0.42694948
## 327             0.78845736 -0.27443685 -0.41274719
## 329             0.33647224 -0.61618614 -0.68264012
## 330             0.78845736 -0.79850770 -0.77658561
## 331            -0.96758403 -1.17118298 -1.01892829
## 332            -1.34707365 -1.02165125 -0.94693458
## 333            -0.52763274 -0.21072103 -0.38485910
##     Thymus_Expressed_Chemokine_TECK E4
## 1                          4.149327  1
## 2                          3.810182  2
## 3                          2.791992  2
## 5                          4.534163  1
## 6                          4.534163  2
## 7                          3.342694  1
## 8                          4.037285  1
## 9                          3.637051  1
## 11                         4.908629  2
## 12                         3.637051  1
## 14                         4.534163  2
## 16                         4.093428  2
## 17                         5.273838  1
## 18                         2.407182  2
## 19                         4.260413  1
## 20                         3.810182  2
## 21                         4.908629  2
## 22                         3.578777  1
## 23                         3.810182  2
## 24                         4.534163  1
## 25                         2.472433  2
## 26                         4.149327  2
## 28                         3.282892  1
## 29                         3.578777  2
## 30                         2.407182  1
## 31                         2.854653  1
## 34                         4.093428  2
## 35                         4.093428  2
## 36                         4.479850  1
## 37                         4.149327  2
## 38                         4.093428  1
## 39                         4.315608  1
## 40                         1.936058  1
## 41                         3.637051  1
## 42                         4.093428  2
## 43                         3.342694  1
## 44                         2.791992  2
## 45                         4.908629  1
## 46                         4.315608  1
## 47                         3.867347  1
## 48                         3.752748  1
## 50                         4.093428  1
## 51                         3.810182  1
## 53                         3.810182  1
## 55                         2.791992  2
## 56                         2.601557  1
## 57                         6.225224  1
## 59                         3.101492  2
## 60                         1.796259  1
## 61                         2.854653  1
## 62                         2.854653  1
## 63                         4.479850  1
## 64                         4.479850  2
## 65                         3.810182  1
## 67                         4.855724  2
## 68                         6.225224  1
## 69                         2.854653  1
## 70                         2.791992  1
## 71                         3.810182  1
## 72                         4.749337  1
## 73                         4.961345  1
## 74                         3.752748  1
## 75                         3.810182  1
## 76                         4.479850  2
## 77                         5.325310  2
## 78                         6.225224  2
## 80                         3.342694  1
## 81                         3.637051  1
## 82                         3.282892  2
## 83                         4.908629  1
## 84                         3.637051  2
## 85                         4.479850  1
## 86                         4.479850  1
## 88                         4.149327  2
## 90                         3.040333  1
## 93                         4.037285  2
## 94                         5.222195  1
## 95                         3.752748  1
## 96                         3.980894  2
## 97                         4.149327  2
## 98                         1.508487  1
## 99                         3.810182  1
## 100                        3.101492  2
## 103                        4.534163  1
## 104                        4.037285  2
## 105                        3.810182  1
## 107                        3.752748  2
## 108                        3.342694  1
## 109                        2.208489  1
## 110                        2.854653  1
## 111                        3.040333  2
## 112                        4.149327  1
## 113                        4.149327  2
## 114                        2.791992  2
## 115                        3.637051  2
## 117                        4.315608  1
## 118                        4.149327  1
## 121                        3.637051  2
## 123                        2.854653  2
## 124                        3.040333  1
## 126                        3.867347  2
## 128                        4.093428  2
## 129                        3.101492  2
## 130                        4.908629  1
## 131                        3.578777  1
## 132                        3.752748  2
## 133                        4.149327  2
## 134                        6.225224  2
## 135                        3.342694  1
## 136                        3.578777  2
## 137                        2.791992  2
## 139                        3.282892  2
## 140                        4.149327  2
## 141                        4.149327  2
## 143                        3.752748  1
## 144                        3.752748  2
## 145                        2.854653  1
## 146                        3.980894  2
## 147                        3.752748  2
## 148                        4.479850  1
## 149                        3.342694  1
## 152                        5.580204  2
## 153                        4.149327  1
## 154                        2.537220  1
## 155                        3.342694  2
## 156                        4.315608  1
## 157                        3.752748  1
## 158                        3.342694  2
## 159                        3.637051  1
## 160                        4.315608  1
## 161                        4.479850  1
## 162                        3.578777  1
## 163                        4.479850  2
## 165                        3.040333  2
## 166                        3.637051  1
## 167                        4.908629  1
## 168                        3.342694  1
## 169                        3.282892  1
## 170                        3.752748  1
## 171                        4.855724  1
## 172                        3.752748  1
## 174                        4.093428  1
## 175                        4.149327  1
## 176                        4.093428  1
## 177                        3.578777  1
## 178                        3.637051  1
## 179                        5.273838  1
## 180                        5.580204  1
## 181                        4.037285  1
## 182                        3.520211  1
## 183                        2.407182  2
## 184                        4.908629  2
## 185                        4.093428  2
## 186                        4.149327  2
## 189                        3.520211  1
## 190                        4.479850  1
## 191                        4.037285  2
## 192                        4.479850  2
## 193                        3.637051  2
## 194                        4.037285  2
## 195                        3.810182  1
## 197                        3.980894  2
## 198                        4.037285  2
## 200                        2.854653  2
## 201                        4.908629  1
## 202                        3.342694  2
## 205                        4.315608  1
## 208                        4.037285  2
## 210                        4.534163  2
## 212                        1.936058  2
## 213                        4.534163  2
## 214                        3.342694  1
## 215                        3.752748  1
## 216                        4.479850  2
## 218                        4.908629  1
## 219                        3.637051  1
## 220                        3.637051  1
## 223                        4.149327  2
## 224                        2.854653  1
## 225                        3.752748  1
## 226                        4.037285  1
## 227                        3.752748  1
## 228                        1.796259  1
## 229                        3.520211  2
## 230                        4.908629  1
## 231                        3.752748  1
## 232                        4.479850  1
## 233                        3.040333  2
## 234                        3.752748  1
## 236                        3.282892  1
## 237                        3.637051  1
## 239                        3.342694  1
## 240                        2.854653  1
## 241                        4.149327  1
## 242                        2.791992  1
## 243                        3.637051  1
## 244                        4.093428  2
## 245                        4.479850  1
## 246                        3.752748  1
## 247                        4.479850  2
## 249                        4.149327  2
## 250                        3.040333  2
## 251                        3.101492  2
## 253                        4.093428  1
## 254                        4.149327  1
## 255                        3.637051  2
## 256                        3.101492  2
## 257                        3.637051  2
## 258                        5.580204  2
## 260                        4.037285  1
## 261                        3.101492  1
## 262                        4.037285  1
## 263                        4.037285  1
## 264                        4.093428  2
## 265                        3.810182  1
## 267                        4.149327  2
## 268                        4.479850  1
## 269                        3.520211  2
## 270                        3.578777  1
## 271                        4.908629  2
## 272                        4.908629  1
## 273                        4.479850  1
## 274                        3.578777  1
## 275                        3.342694  1
## 277                        4.534163  1
## 278                        3.101492  1
## 279                        3.980894  2
## 281                        4.908629  2
## 282                        4.315608  2
## 283                        4.479850  1
## 287                        2.791992  1
## 289                        2.407182  1
## 290                        3.342694  1
## 291                        5.580204  1
## 292                        4.149327  1
## 294                        2.407182  1
## 297                        2.601557  1
## 298                        2.208489  1
## 299                        4.534163  2
## 301                        3.101492  2
## 302                        3.342694  1
## 303                        4.908629  1
## 304                        3.867347  2
## 305                        4.908629  1
## 306                        4.534163  1
## 307                        4.315608  1
## 308                        1.796259  2
## 311                        4.479850  2
## 312                        3.637051  2
## 313                        3.040333  1
## 314                        4.037285  1
## 315                        2.854653  1
## 316                        3.810182  1
## 317                        3.810182  1
## 320                        3.342694  2
## 321                        2.791992  1
## 322                        4.093428  1
## 323                        4.037285  1
## 324                        3.342694  2
## 325                        3.578777  1
## 326                        4.037285  2
## 327                        5.273838  2
## 329                        3.637051  1
## 330                        4.534163  2
## 331                        4.260413  1
## 332                        4.479850  1
## 333                        4.037285  2
## 
## $usekernel
## [1] TRUE
## 
## $varnames
##  [1] "Eotaxin_3"                        "FAS"                             
##  [3] "Fibrinogen"                       "GRO_alpha"                       
##  [5] "Gamma_Interferon_induced_Monokin" "MIF"                             
##  [7] "MMP10"                            "MMP7"                            
##  [9] "NT_proBNP"                        "PAI_1"                           
## [11] "Pancreatic_polypeptide"           "TNF_RII"                         
## [13] "TRAIL_R3"                         "Thymus_Expressed_Chemokine_TECK" 
## [15] "E4"                              
## 
## attr(,"class")
## [1] "NaiveBayes"
NB_UF_BANC_Tune$results
##         ROC      Sens      Spec  Accuracy     Kappa      ROCSD    SensSD
## 1 0.7608835 0.5964286 0.7773684 0.7272589 0.3629829 0.09855478 0.2222718
##      SpecSD AccuracySD  KappaSD
## 1 0.1597416  0.1318832 0.271492
(NB_UF_BANC_Train_ROCCurveAUC <- NB_UF_BANC_Tune$results[NB_UF_BANC_Tune$results$ROC==max(NB_UF_BANC_Tune$results$ROC),
                                                       c("ROC")])
## [1] 0.7608835
##################################
# Independently evaluating the model and
# reporting the independent evaluation results
# on the test set
##################################
NB_UF_BANC_Test <- data.frame(NB_UF_BANC_Observed = PMA_PreModelling_Test$Class,
                              NB_UF_BANC_Predicted = predict(NB_UF_BANC_Tune,
                      PMA_PreModelling_Test[,!names(PMA_PreModelling_Test) %in% c("Class")],
                      type = "prob"))

NB_UF_BANC_Test
##     NB_UF_BANC_Observed NB_UF_BANC_Predicted.pred NB_UF_BANC_Predicted.Impaired
## 4               Control                   Control                  5.632315e-03
## 10             Impaired                  Impaired                  6.651407e-01
## 13             Impaired                   Control                  8.707208e-03
## 15              Control                   Control                  1.487077e-01
## 27             Impaired                   Control                  7.939411e-04
## 32             Impaired                   Control                  1.485874e-03
## 33             Impaired                   Control                  3.446246e-02
## 49              Control                   Control                  2.100594e-03
## 52             Impaired                  Impaired                  9.997817e-01
## 54              Control                   Control                  5.522491e-04
## 58              Control                  Impaired                  9.994767e-01
## 66              Control                   Control                  2.788699e-02
## 79              Control                  Impaired                  6.341560e-01
## 87             Impaired                   Control                  3.576120e-02
## 89              Control                   Control                  2.844986e-03
## 91              Control                  Impaired                  9.772660e-01
## 92              Control                   Control                  1.527913e-02
## 101            Impaired                  Impaired                  9.999964e-01
## 102             Control                   Control                  1.580457e-02
## 106             Control                   Control                  1.931847e-06
## 116             Control                   Control                  2.085484e-08
## 119             Control                   Control                  1.317679e-03
## 120             Control                   Control                  1.358139e-04
## 122             Control                   Control                  1.927715e-03
## 125             Control                   Control                  1.861225e-03
## 127             Control                  Impaired                  6.511296e-01
## 138             Control                   Control                  2.355854e-02
## 142             Control                  Impaired                  6.400248e-01
## 150             Control                   Control                  5.411305e-03
## 151             Control                   Control                  2.651866e-04
## 164            Impaired                   Control                  2.379547e-03
## 173             Control                   Control                  3.256414e-03
## 187             Control                   Control                  7.526947e-03
## 188             Control                   Control                  5.590376e-05
## 196             Control                  Impaired                  5.437344e-01
## 199             Control                   Control                  1.790208e-02
## 203             Control                   Control                  1.893850e-05
## 204             Control                   Control                  4.850850e-01
## 206            Impaired                  Impaired                  9.996230e-01
## 207             Control                   Control                  4.642039e-04
## 209             Control                   Control                  3.034025e-03
## 211             Control                   Control                  9.954540e-03
## 217             Control                   Control                  1.785411e-01
## 221            Impaired                  Impaired                  9.583480e-01
## 222             Control                   Control                  3.068938e-02
## 235             Control                   Control                  1.237792e-05
## 238             Control                   Control                  9.674535e-04
## 248            Impaired                   Control                  1.386177e-03
## 252             Control                   Control                  5.051121e-06
## 259            Impaired                  Impaired                  7.537449e-01
## 266             Control                  Impaired                  9.643205e-01
## 276            Impaired                  Impaired                  9.990248e-01
## 280            Impaired                   Control                  1.342288e-01
## 284             Control                  Impaired                  5.357456e-01
## 285             Control                   Control                  2.642314e-06
## 286             Control                   Control                  4.417479e-05
## 288             Control                   Control                  8.028474e-03
## 293            Impaired                  Impaired                  9.356737e-01
## 295             Control                   Control                  1.419271e-03
## 296            Impaired                  Impaired                  9.949968e-01
## 300             Control                  Impaired                  9.386018e-01
## 309             Control                   Control                  1.153954e-02
## 310            Impaired                  Impaired                  6.572325e-01
## 318             Control                   Control                  3.474728e-05
## 319             Control                   Control                  1.046663e-01
## 328             Control                   Control                  7.180657e-04
##     NB_UF_BANC_Predicted.Control
## 4                   9.943677e-01
## 10                  3.348593e-01
## 13                  9.912928e-01
## 15                  8.512923e-01
## 27                  9.992061e-01
## 32                  9.985141e-01
## 33                  9.655375e-01
## 49                  9.978994e-01
## 52                  2.182819e-04
## 54                  9.994478e-01
## 58                  5.233017e-04
## 66                  9.721130e-01
## 79                  3.658440e-01
## 87                  9.642388e-01
## 89                  9.971550e-01
## 91                  2.273403e-02
## 92                  9.847209e-01
## 101                 3.597812e-06
## 102                 9.841954e-01
## 106                 9.999981e-01
## 116                 1.000000e+00
## 119                 9.986823e-01
## 120                 9.998642e-01
## 122                 9.980723e-01
## 125                 9.981388e-01
## 127                 3.488704e-01
## 138                 9.764415e-01
## 142                 3.599752e-01
## 150                 9.945887e-01
## 151                 9.997348e-01
## 164                 9.976205e-01
## 173                 9.967436e-01
## 187                 9.924731e-01
## 188                 9.999441e-01
## 196                 4.562656e-01
## 199                 9.820979e-01
## 203                 9.999811e-01
## 204                 5.149150e-01
## 206                 3.770085e-04
## 207                 9.995358e-01
## 209                 9.969660e-01
## 211                 9.900455e-01
## 217                 8.214589e-01
## 221                 4.165204e-02
## 222                 9.693106e-01
## 235                 9.999876e-01
## 238                 9.990325e-01
## 248                 9.986138e-01
## 252                 9.999949e-01
## 259                 2.462551e-01
## 266                 3.567954e-02
## 276                 9.751987e-04
## 280                 8.657712e-01
## 284                 4.642544e-01
## 285                 9.999974e-01
## 286                 9.999558e-01
## 288                 9.919715e-01
## 293                 6.432631e-02
## 295                 9.985807e-01
## 296                 5.003191e-03
## 300                 6.139820e-02
## 309                 9.884605e-01
## 310                 3.427675e-01
## 318                 9.999653e-01
## 319                 8.953337e-01
## 328                 9.992819e-01
##################################
# Reporting the independent evaluation results
# for the test set
##################################
NB_UF_BANC_Test_ROC <- roc(response = NB_UF_BANC_Test$NB_UF_BANC_Observed,
                           predictor = NB_UF_BANC_Test$NB_UF_BANC_Predicted.Impaired,
                           levels = rev(levels(NB_UF_BANC_Test$NB_UF_BANC_Observed)))

(NB_UF_BANC_Test_ROCCurveAUC <- auc(NB_UF_BANC_Test_ROC)[1])
## [1] 0.7627315

1.6 Consolidated Findings


[A] Models which applied univariate filters to select a subset of informative predictors performed better than those which utilized the full set of predictors, although the effectiveness varied across the different types of filter methods.
     [A.1] LDA: Linear Discriminant Analysis (MASS package)
            [A.1.1] LDA_FULL (Linear Discriminant Analysis Without Univariate Filters)
                     [A.1.1.1] Cross-Validation AUROC = 0.80151
                     [A.1.1.2] Test AUROC = 0.77199
            [A.1.2] LDA_UF_NANC (Linear Discriminant Analysis With Univariate Filters Using No P-Value Adjustment and No Correlated Predictors)
                     [A.1.2.1] Cross-Validation AUROC = 0.84130
                     [A.1.2.2] Test AUROC = 0.88657
     [A.2] RF: Random Forest (randomForest package)
            [A.2.1] RF_FULL (Random Forest Without Univariate Filters)
                     [A.2.1.1] Cross-Validation AUROC = 0.78268
                     [A.2.1.2] Test AUROC = 0.79803
            [A.2.2] RF_UF_NANC (Random Forest With Univariate Filters Using No P-Value Adjustment and No Correlated Predictors)
                     [A.2.2.1] Cross-Validation AUROC = 0.81301
                     [A.2.2.2] Test AUROC = 0.82002
     [A.3] NB: Naive Bayes (klaR package)
            [A.3.1] NB_FULL (Linear Discriminant Analysis Without Univariate Filters)
                     [A.3.1.1] Cross-Validation AUROC = 0.73904
                     [A.3.1.2] Test AUROC = 0.68055
            [A.3.2] NB_UF_BAC (Naive Bayes With Univariate Filters Using Bonferroni-Adjusted P-Values and With Correlated Predictors)
                     [A.3.2.1] Cross-Validation AUROC = 0.76825
                     [A.3.2.2] Test AUROC = 0.75231
            [A.3.3] NB_UF_BANC (Naive Bayes With Univariate Filters Using Bonferroni-Adjusted P-Values and No Correlated Predictors)
                     [A.3.3.1] Cross-Validation AUROC = 0.76025
                     [A.3.3.2] Test AUROC = 0.76273

[B] The models applied with univariate filters which demonstrated the best and most consistent AUROC metrics are as follows:
     [B.1] LDA_UF_NANC: Linear Discriminant Analysis With Univariate Filters Using No Adjustment and No Correlated Predictors (MASS package)

Code Chunk | Output
##################################
# Consolidating all evaluation results
# for the train and test sets
# using the AUROC metric
##################################
Model <- c('LDA_FULL','LDA_UF_NAC','LDA_UF_BAC','LDA_UF_NANC','LDA_UF_BANC',
           'RF_FULL','RF_UF_NAC','RF_UF_BAC','RF_UF_NANC','RF_UF_BANC',
           'NB_FULL','NB_UF_NAC','NB_UF_BAC','NB_UF_NANC','NB_UF_BANC',
           'LDA_FULL','LDA_UF_NAC','LDA_UF_BAC','LDA_UF_NANC','LDA_UF_BANC',
           'RF_FULL','RF_UF_NAC','RF_UF_BAC','RF_UF_NANC','RF_UF_BANC',
           'NB_FULL','NB_UF_NAC','NB_UF_BAC','NB_UF_NANC','NB_UF_BANC')

Set <- c(rep('Cross-Validation',15),rep('Test',15))

ROCCurveAUC <- c(LDA_FULL_Train_ROCCurveAUC,
                 LDA_UF_NAC_Train_ROCCurveAUC,
                 LDA_UF_BAC_Train_ROCCurveAUC,
                 LDA_UF_NANC_Train_ROCCurveAUC,
                 LDA_UF_BANC_Train_ROCCurveAUC,
                 RF_FULL_Train_ROCCurveAUC,
                 RF_UF_NAC_Train_ROCCurveAUC,
                 RF_UF_BAC_Train_ROCCurveAUC,
                 RF_UF_NANC_Train_ROCCurveAUC,
                 RF_UF_BANC_Train_ROCCurveAUC,
                 NB_FULL_Train_ROCCurveAUC,
                 NB_UF_NAC_Train_ROCCurveAUC,
                 NB_UF_BAC_Train_ROCCurveAUC,
                 NB_UF_NANC_Train_ROCCurveAUC,
                 NB_UF_BANC_Train_ROCCurveAUC,
                 LDA_FULL_Test_ROCCurveAUC,
                 LDA_UF_NAC_Test_ROCCurveAUC,
                 LDA_UF_BAC_Test_ROCCurveAUC,
                 LDA_UF_NANC_Test_ROCCurveAUC,
                 LDA_UF_BANC_Test_ROCCurveAUC,
                 RF_FULL_Test_ROCCurveAUC,
                 RF_UF_NAC_Test_ROCCurveAUC,
                 RF_UF_BAC_Test_ROCCurveAUC,
                 RF_UF_NANC_Test_ROCCurveAUC,
                 RF_UF_BANC_Test_ROCCurveAUC,
                 NB_FULL_Test_ROCCurveAUC,
                 NB_UF_NAC_Test_ROCCurveAUC,
                 NB_UF_BAC_Test_ROCCurveAUC,
                 NB_UF_NANC_Test_ROCCurveAUC,
                 NB_UF_BANC_Test_ROCCurveAUC)

ROCCurveAUC_Summary <- as.data.frame(cbind(Model,Set,ROCCurveAUC))

ROCCurveAUC_Summary$ROCCurveAUC <- as.numeric(as.character(ROCCurveAUC_Summary$ROCCurveAUC))
ROCCurveAUC_Summary$Set <- factor(ROCCurveAUC_Summary$Set,
                                        levels = c("Cross-Validation",
                                                   "Test"))
ROCCurveAUC_Summary$Model <- factor(ROCCurveAUC_Summary$Model,
                                        levels = c('LDA_FULL',
                                                   'LDA_UF_NAC',
                                                   'LDA_UF_BAC',
                                                   'LDA_UF_NANC',
                                                   'LDA_UF_BANC',
                                                   'RF_FULL',
                                                   'RF_UF_NAC',
                                                   'RF_UF_BAC',
                                                   'RF_UF_NANC',
                                                   'RF_UF_BANC',
                                                   'NB_FULL',
                                                   'NB_UF_NAC',
                                                   'NB_UF_BAC',
                                                   'NB_UF_NANC',
                                                   'NB_UF_BANC'))

print(ROCCurveAUC_Summary, row.names=FALSE)
##        Model              Set ROCCurveAUC
##     LDA_FULL Cross-Validation   0.8015132
##   LDA_UF_NAC Cross-Validation   0.8437876
##   LDA_UF_BAC Cross-Validation   0.7591400
##  LDA_UF_NANC Cross-Validation   0.8412970
##  LDA_UF_BANC Cross-Validation   0.7591400
##      RF_FULL Cross-Validation   0.7826833
##    RF_UF_NAC Cross-Validation   0.8156320
##    RF_UF_BAC Cross-Validation   0.7588863
##   RF_UF_NANC Cross-Validation   0.8130169
##   RF_UF_BANC Cross-Validation   0.7588863
##      NB_FULL Cross-Validation   0.7390414
##    NB_UF_NAC Cross-Validation   0.7471053
##    NB_UF_BAC Cross-Validation   0.7608835
##   NB_UF_NANC Cross-Validation   0.7484774
##   NB_UF_BANC Cross-Validation   0.7608835
##     LDA_FULL             Test   0.7719907
##   LDA_UF_NAC             Test   0.8831019
##   LDA_UF_BAC             Test   0.8032407
##  LDA_UF_NANC             Test   0.8865741
##  LDA_UF_BANC             Test   0.8032407
##      RF_FULL             Test   0.7980324
##    RF_UF_NAC             Test   0.8194444
##    RF_UF_BAC             Test   0.7586806
##   RF_UF_NANC             Test   0.8200231
##   RF_UF_BANC             Test   0.7586806
##      NB_FULL             Test   0.6793981
##    NB_UF_NAC             Test   0.6979167
##    NB_UF_BAC             Test   0.7627315
##   NB_UF_NANC             Test   0.6990741
##   NB_UF_BANC             Test   0.7627315
(ROCCurveAUC_Plot <- dotplot(Model ~ ROCCurveAUC,
                           data = ROCCurveAUC_Summary,
                           groups = Set,
                           main = "Classification Model Performance Comparison",
                           ylab = "Model",
                           xlab = "AUROC",
                           auto.key = list(adj=1, space="top", columns=2),
                           type=c("p", "h"),
                           origin = 0,
                           alpha = 0.45,
                           pch = 16,
                           cex = 2))

2. Summary



3. References


[Book] Applied Predictive Modeling by Max Kuhn and Kjell Johnson
[Book] An Introduction to Statistical Learning by Gareth James, Daniela Witten, Trevor Hastie and Rob Tibshirani
[Book] Multivariate Data Visualization with R by Deepayan Sarkar
[Book] Machine Learning by Samuel Jackson
[Book] Data Modeling Methods by Jacob Larget
[Book] Feature Engineering and Selection: A Practical Approach for Predictive Models by Max Kuhn and Kjell Johnson
[R Package] AppliedPredictiveModeling by Max Kuhn
[R Package] caret by Max Kuhn
[R Package] rpart by Terry Therneau and Beth Atkinson
[R Package] lattice by Deepayan Sarkar
[R Package] dplyr by Hadley Wickham
[R Package] moments by Lukasz Komsta and Frederick
[R Package] skimr by Elin Waring
[R Package] RANN by Sunil Arya, David Mount, Samuel Kemp and Gregory Jefferis
[R Package] corrplot by Taiyun Wei
[R Package] tidyverse by Hadley Wickham
[R Package] lares by Bernardo Lares
[R Package] DMwR2 by Luis Torgo
[R Package] gridExtra by Baptiste Auguie and Anton Antonov
[R Package] rattle by Graham Williams
[R Package] rpart.plot by Stephen Milborrow
[R Package] RColorBrewer by Erich Neuwirth
[R Package] stats by R Core Team
[R Package] pls by Kristian Hovde Liland
[R Package] nnet by Brian Ripley
[R Package] elasticnet by Hui Zou
[R Package] earth by Stephen Milborrow
[R Package] party by Torsten Hothorn
[R Package] kernlab by Alexandros Karatzoglou
[R Package] randomForest by Andy Liaw
[R Package] pROC by Xavier Robin
[R Package] mda by Trevor Hastie
[R Package] klaR by Christian Roever, Nils Raabe, Karsten Luebke, Uwe Ligges, Gero Szepannek, Marc Zentgraf and David Meyer
[R Package] pamr by Trevor Hastie, Rob Tibshirani, Balasubramanian Narasimhan and Gil Chu
[Article] The caret Package by Max Kuhn
[Article] A Short Introduction to the caret Package by Max Kuhn
[Article] Caret Package – A Practical Guide to Machine Learning in R by Selva Prabhakaran
[Article] Tuning Machine Learning Models Using the Caret R Package by Jason Brownlee
[Article] Lattice Graphs by Alboukadel Kassambara
[Article] A Tour of Machine Learning Algorithms by Jason Brownlee
[Article] How to Choose a Feature Selection Method For Machine Learning by Jason Brownlee
[Article] Filter Based Feature Selection by Microsoft Azure Team
[Article] Feature Selection: Filter method, Wrapper method and Embedded Method by Shripad Bhat
[Article] Demystifying Feature Selection: Filter vs Wrapper Methods by Explorium Team
[Article] Decision Tree Algorithm Examples In Data Mining by Software Testing Help Team
[Article] 4 Types of Classification Tasks in Machine Learning by Jason Brownlee
[Article] Spot-Check Classification Machine Learning Algorithms in Python with scikit-learn by Jason Brownlee
[Article] An Introduction to Naive Bayes Algorithm for Beginners by Turing Team
[Article] Machine Learning Tutorial: A Step-by-Step Guide for Beginners by Mayank Banoula
[Article] Discriminant Analysis Essentials in R by Alboukadel Kassambara
[Article] Linear Discriminant Analysis, Explained by Xiaozhou Yang
[Article] Classification Tree by BCCVL Team
[Article] Random Forest by BCCVL Team
[Article] Generalized Linear Model by BCCVL Team
[Publication] The Use of Multiple Measurements in Taxonomic Problems by Ronald Fisher (Annals of Human Genetics)
[Publication] Bagging Predictors by Leo Breiman (Machine Learning)
[Publication] Who Discovered Bayes’s Theorem? by Stephen Stigler (The American Statistician)
[Publication] Statistical Adjustment of Data by W Deming (Wiley)
[Publication] First (?) Occurrence of Common Terms in Probability and Statistics-A Second List, with Corrections by H David (The American Statistician)
[Publication] On The Use and Interpretation of Certain Test Criteria for Purposes of Statistical Inference by Jerzy Neyman and Egon Pearson (Biometrika)
[Publication] Mathematical Contributions to the Theory of Evolution: Regression, Heredity and Panmixia by Karl Pearson (Royal Society)
[Course] Applied Data Mining and Statistical Learning by Penn State Eberly College of Science
[Course] Regression Methods by Penn State Eberly College of Science
[Course] Applied Regression Analysis by Penn State Eberly College of Science
[Course] Applied Data Mining and Statistical Learning by Penn State Eberly College of Science