Model1 : age sex_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.279
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.592
## Area under the curve: 0.6686
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 41673  5846
##      died  18146  6652
##                                           
##                Accuracy : 0.6682          
##                  95% CI : (0.6648, 0.6717)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.1648          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.53225         
##             Specificity : 0.69665         
##          Pos Pred Value : 0.26825         
##          Neg Pred Value : 0.87698         
##              Prevalence : 0.17282         
##          Detection Rate : 0.09198         
##    Detection Prevalence : 0.34291         
##       Balanced Accuracy : 0.61445         
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error  z value Pr(>|z|)    
## (Intercept) -1.721799   0.008075 -213.216  < 2e-16 ***
## age          0.657208   0.005948  110.491  < 2e-16 ***
## sex_catMale  0.044462   0.010191    4.363 1.28e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 252169  on 289265  degrees of freedom
## AIC: 252175
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.93 1.91, 1.95 <0.001
sex_catMale 1.05 1.02, 1.07 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

Model2 : age sex_cat ALBUMIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.460
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.645
## Area under the curve: 0.7781
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46400  4558
##      died  13419  7940
##                                           
##                Accuracy : 0.7514          
##                  95% CI : (0.7482, 0.7546)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.321           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6353          
##             Specificity : 0.7757          
##          Pos Pred Value : 0.3717          
##          Neg Pred Value : 0.9106          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1098          
##    Detection Prevalence : 0.2954          
##       Balanced Accuracy : 0.7055          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.021156   0.009084 -222.50   <2e-16 ***
## age          0.646368   0.006270  103.09   <2e-16 ***
## sex_catMale  0.165173   0.010947   15.09   <2e-16 ***
## ALBUMIN     -0.885629   0.005455 -162.34   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 221723  on 289264  degrees of freedom
## AIC: 221731
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.91 1.89, 1.93 <0.001
sex_catMale 1.18 1.15, 1.21 <0.001
ALBUMIN 0.41 0.41, 0.42 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

Model_3 : age sex_cat ALBUMIN COMO_CHF

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.466
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.648
## Area under the curve: 0.783
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46349  4487
##      died  13470  8011
##                                           
##                Accuracy : 0.7517          
##                  95% CI : (0.7485, 0.7548)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3238          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6410          
##             Specificity : 0.7748          
##          Pos Pred Value : 0.3729          
##          Neg Pred Value : 0.9117          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1108          
##    Detection Prevalence : 0.2970          
##       Balanced Accuracy : 0.7079          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.190874   0.010184 -215.13   <2e-16 ***
## age          0.624261   0.006318   98.80   <2e-16 ***
## sex_catMale  0.168705   0.010987   15.36   <2e-16 ***
## ALBUMIN     -0.882142   0.005479 -161.00   <2e-16 ***
## COMO_CHFY    0.454742   0.011042   41.19   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 220046  on 289263  degrees of freedom
## AIC: 220056
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.87 1.84, 1.89 <0.001
sex_catMale 1.18 1.16, 1.21 <0.001
ALBUMIN 0.41 0.41, 0.42 <0.001
COMO_CHFY 1.58 1.54, 1.61 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_4 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.466
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.648
## Area under the curve: 0.7832
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46404  4468
##      died  13415  8030
##                                           
##                Accuracy : 0.7527          
##                  95% CI : (0.7496, 0.7559)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3259          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6425          
##             Specificity : 0.7757          
##          Pos Pred Value : 0.3744          
##          Neg Pred Value : 0.9122          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1110          
##    Detection Prevalence : 0.2965          
##       Balanced Accuracy : 0.7091          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##               Estimate Std. Error z value Pr(>|z|)    
## (Intercept)  -2.161257   0.011356 -190.32  < 2e-16 ***
## age           0.617511   0.006414   96.28  < 2e-16 ***
## sex_catMale   0.166359   0.010996   15.13  < 2e-16 ***
## ALBUMIN      -0.883798   0.005487 -161.07  < 2e-16 ***
## COMO_CHFY     0.461541   0.011107   41.55  < 2e-16 ***
## COMO_DM_INSY -0.064885   0.011169   -5.81 6.26e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 220012  on 289262  degrees of freedom
## AIC: 220024
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.85 1.83, 1.88 <0.001
sex_catMale 1.18 1.16, 1.21 <0.001
ALBUMIN 0.41 0.41, 0.42 <0.001
COMO_CHFY 1.59 1.55, 1.62 <0.001
COMO_DM_INSY 0.94 0.92, 0.96 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_5 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS COMO_HTN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.467
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.648
## Area under the curve: 0.7839
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46440  4480
##      died  13379  8018
##                                           
##                Accuracy : 0.753           
##                  95% CI : (0.7499, 0.7562)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3261          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6415          
##             Specificity : 0.7763          
##          Pos Pred Value : 0.3747          
##          Neg Pred Value : 0.9120          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1109          
##    Detection Prevalence : 0.2959          
##       Balanced Accuracy : 0.7089          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##               Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)  -1.907899   0.017931 -106.404  < 2e-16 ***
## age           0.619979   0.006422   96.546  < 2e-16 ***
## sex_catMale   0.161899   0.011005   14.711  < 2e-16 ***
## ALBUMIN      -0.879503   0.005492 -160.156  < 2e-16 ***
## COMO_CHFY     0.463878   0.011117   41.727  < 2e-16 ***
## COMO_DM_INSY -0.059215   0.011179   -5.297 1.18e-07 ***
## COMO_HTNY    -0.289558   0.016070  -18.018  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 219697  on 289261  degrees of freedom
## AIC: 219711
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.86 1.84, 1.88 <0.001
sex_catMale 1.18 1.15, 1.20 <0.001
ALBUMIN 0.41 0.41, 0.42 <0.001
COMO_CHFY 1.59 1.56, 1.63 <0.001
COMO_DM_INSY 0.94 0.92, 0.96 <0.001
COMO_HTNY 0.75 0.73, 0.77 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_6 : age sex_cat ALBUMIN COMO_CHF COMO_DM_INS COMO_HTN CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.484
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.658
## Area under the curve: 0.8056
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46263  4004
##      died  13556  8494
##                                          
##                Accuracy : 0.7572         
##                  95% CI : (0.754, 0.7603)
##     No Information Rate : 0.8272         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.3479         
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.6796         
##             Specificity : 0.7734         
##          Pos Pred Value : 0.3852         
##          Neg Pred Value : 0.9203         
##              Prevalence : 0.1728         
##          Detection Rate : 0.1175         
##    Detection Prevalence : 0.3049         
##       Balanced Accuracy : 0.7265         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)        -1.994173   0.018289 -109.04  < 2e-16 ***
## age                 0.595808   0.006495   91.73  < 2e-16 ***
## sex_catMale         0.188199   0.011163   16.86  < 2e-16 ***
## ALBUMIN            -0.814854   0.005574 -146.19  < 2e-16 ***
## COMO_CHFY           0.417570   0.011282   37.01  < 2e-16 ***
## COMO_DM_INSY       -0.071434   0.011339   -6.30 2.98e-10 ***
## COMO_HTNY          -0.274014   0.016297  -16.81  < 2e-16 ***
## CLM_FROM_1year_cat  0.462243   0.005877   78.66  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 213184  on 289260  degrees of freedom
## AIC: 213200
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.81 1.79, 1.84 <0.001
sex_catMale 1.21 1.18, 1.23 <0.001
ALBUMIN 0.44 0.44, 0.45 <0.001
COMO_CHFY 1.52 1.49, 1.55 <0.001
COMO_DM_INSY 0.93 0.91, 0.95 <0.001
COMO_HTNY 0.76 0.74, 0.79 <0.001
CLM_FROM_1year_cat 1.59 1.57, 1.61 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_7 : age ALBUMIN COMO_CHF

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.464
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.647
## Area under the curve: 0.7819
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46322  4511
##      died  13497  7987
##                                           
##                Accuracy : 0.751           
##                  95% CI : (0.7478, 0.7541)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3219          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6391          
##             Specificity : 0.7744          
##          Pos Pred Value : 0.3718          
##          Neg Pred Value : 0.9113          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1104          
##    Detection Prevalence : 0.2971          
##       Balanced Accuracy : 0.7067          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -2.093260   0.007819 -267.71   <2e-16 ***
## age          0.622924   0.006315   98.64   <2e-16 ***
## ALBUMIN     -0.877384   0.005467 -160.50   <2e-16 ***
## COMO_CHFY    0.453278   0.011033   41.08   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 220283  on 289264  degrees of freedom
## AIC: 220291
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.86 1.84, 1.89 <0.001
ALBUMIN 0.42 0.41, 0.42 <0.001
COMO_CHFY 1.57 1.54, 1.61 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_8 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.486
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.654
## Area under the curve: 0.7944
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46489  4206
##      died  13330  8292
##                                           
##                Accuracy : 0.7575          
##                  95% CI : (0.7544, 0.7606)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3419          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6635          
##             Specificity : 0.7772          
##          Pos Pred Value : 0.3835          
##          Neg Pred Value : 0.9170          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1147          
##    Detection Prevalence : 0.2990          
##       Balanced Accuracy : 0.7203          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -2.121043   0.007962 -266.38   <2e-16 ***
## age               0.644748   0.006398  100.77   <2e-16 ***
## ALBUMIN          -0.859458   0.005519 -155.74   <2e-16 ***
## COMO_CHFY         0.404469   0.011155   36.26   <2e-16 ***
## IRON_SAT_PERCENT -0.345400   0.005589  -61.80   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 216292  on 289263  degrees of freedom
## AIC: 216302
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.91 1.88, 1.93 <0.001
ALBUMIN 0.42 0.42, 0.43 <0.001
COMO_CHFY 1.50 1.47, 1.53 <0.001
IRON_SAT_PERCENT 0.71 0.70, 0.72 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_9 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT HGB

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.506
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.660
## Area under the curve: 0.8008
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46939  4166
##      died  12880  8332
##                                           
##                Accuracy : 0.7643          
##                  95% CI : (0.7612, 0.7674)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3538          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6667          
##             Specificity : 0.7847          
##          Pos Pred Value : 0.3928          
##          Neg Pred Value : 0.9185          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1152          
##    Detection Prevalence : 0.2933          
##       Balanced Accuracy : 0.7257          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -2.146852   0.008062 -266.30   <2e-16 ***
## age               0.660195   0.006459  102.21   <2e-16 ***
## ALBUMIN          -0.759916   0.005785 -131.37   <2e-16 ***
## COMO_CHFY         0.423171   0.011254   37.60   <2e-16 ***
## IRON_SAT_PERCENT -0.292260   0.005645  -51.77   <2e-16 ***
## HGB              -0.311487   0.005761  -54.06   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 213317  on 289262  degrees of freedom
## AIC: 213329
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.94 1.91, 1.96 <0.001
ALBUMIN 0.47 0.46, 0.47 <0.001
COMO_CHFY 1.53 1.49, 1.56 <0.001
IRON_SAT_PERCENT 0.75 0.74, 0.75 <0.001
HGB 0.73 0.72, 0.74 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_10 : age ALBUMIN COMO_CHF IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.499
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.662
## Area under the curve: 0.8132
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46448  3838
##      died  13371  8660
##                                           
##                Accuracy : 0.762           
##                  95% CI : (0.7589, 0.7651)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3606          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6929          
##             Specificity : 0.7765          
##          Pos Pred Value : 0.3931          
##          Neg Pred Value : 0.9237          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1198          
##    Detection Prevalence : 0.3046          
##       Balanced Accuracy : 0.7347          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)        -2.180200   0.008258 -264.02   <2e-16 ***
## age                 0.620832   0.006460   96.10   <2e-16 ***
## ALBUMIN            -0.799336   0.005594 -142.89   <2e-16 ***
## COMO_CHFY           0.362263   0.011306   32.04   <2e-16 ***
## IRON_SAT_PERCENT   -0.320349   0.005643  -56.77   <2e-16 ***
## CLM_FROM_1year_cat  0.440702   0.005911   74.56   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 210466  on 289262  degrees of freedom
## AIC: 210478
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.86 1.84, 1.88 <0.001
ALBUMIN 0.45 0.44, 0.45 <0.001
COMO_CHFY 1.44 1.41, 1.47 <0.001
IRON_SAT_PERCENT 0.73 0.72, 0.73 <0.001
CLM_FROM_1year_cat 1.55 1.54, 1.57 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_11 : age,ALBUMIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.458
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.645
## Area under the curve: 0.777
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46351  4590
##      died  13468  7908
##                                           
##                Accuracy : 0.7503          
##                  95% CI : (0.7471, 0.7534)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3182          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6327          
##             Specificity : 0.7749          
##          Pos Pred Value : 0.3699          
##          Neg Pred Value : 0.9099          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1094          
##    Detection Prevalence : 0.2956          
##       Balanced Accuracy : 0.7038          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##              Estimate Std. Error z value Pr(>|z|)    
## (Intercept) -1.926110   0.006396  -301.1   <2e-16 ***
## age          0.644985   0.006267   102.9   <2e-16 ***
## ALBUMIN     -0.880964   0.005443  -161.9   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 221952  on 289265  degrees of freedom
## AIC: 221958
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.91 1.88, 1.93 <0.001
ALBUMIN 0.41 0.41, 0.42 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_12 : age ALBUMIN IRON_SAT_PERCENT

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.482
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.652
## Area under the curve: 0.791
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46544  4307
##      died  13275  8191
##                                         
##                Accuracy : 0.7569        
##                  95% CI : (0.7537, 0.76)
##     No Information Rate : 0.8272        
##     P-Value [Acc > NIR] : 1             
##                                         
##                   Kappa : 0.3376        
##                                         
##  Mcnemar's Test P-Value : <2e-16        
##                                         
##             Sensitivity : 0.6554        
##             Specificity : 0.7781        
##          Pos Pred Value : 0.3816        
##          Neg Pred Value : 0.9153        
##              Prevalence : 0.1728        
##          Detection Rate : 0.1133        
##    Detection Prevalence : 0.2968        
##       Balanced Accuracy : 0.7167        
##                                         
##        'Positive' Class : died          
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.973510   0.006598 -299.12   <2e-16 ***
## age               0.665406   0.006354  104.73   <2e-16 ***
## ALBUMIN          -0.861807   0.005499 -156.72   <2e-16 ***
## IRON_SAT_PERCENT -0.359041   0.005568  -64.48   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 217592  on 289264  degrees of freedom
## AIC: 217600
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.95 1.92, 1.97 <0.001
ALBUMIN 0.42 0.42, 0.43 <0.001
IRON_SAT_PERCENT 0.70 0.69, 0.71 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_13 : age ALBUMIN IRON_SAT_PERCENT HGB

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.502
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.658
## Area under the curve: 0.7972
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46922  4218
##      died  12897  8280
##                                           
##                Accuracy : 0.7633          
##                  95% CI : (0.7602, 0.7664)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3506          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6625          
##             Specificity : 0.7844          
##          Pos Pred Value : 0.3910          
##          Neg Pred Value : 0.9175          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1145          
##    Detection Prevalence : 0.2928          
##       Balanced Accuracy : 0.7235          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -1.991916   0.006667 -298.76   <2e-16 ***
## age               0.681436   0.006414  106.25   <2e-16 ***
## ALBUMIN          -0.764150   0.005763 -132.59   <2e-16 ***
## IRON_SAT_PERCENT -0.307330   0.005622  -54.66   <2e-16 ***
## HGB              -0.305663   0.005747  -53.19   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 214716  on 289263  degrees of freedom
## AIC: 214726
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.98 1.95, 2.00 <0.001
ALBUMIN 0.47 0.46, 0.47 <0.001
IRON_SAT_PERCENT 0.74 0.73, 0.74 <0.001
HGB 0.74 0.73, 0.74 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_14 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.513
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.665
## Area under the curve: 0.8156
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46711  3892
##      died  13108  8606
##                                          
##                Accuracy : 0.7649         
##                  95% CI : (0.7618, 0.768)
##     No Information Rate : 0.8272         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.3635         
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.6886         
##             Specificity : 0.7809         
##          Pos Pred Value : 0.3963         
##          Neg Pred Value : 0.9231         
##              Prevalence : 0.1728         
##          Detection Rate : 0.1190         
##    Detection Prevalence : 0.3003         
##       Balanced Accuracy : 0.7347         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)        -2.064292   0.007017 -294.18   <2e-16 ***
## age                 0.655180   0.006473  101.21   <2e-16 ***
## ALBUMIN            -0.714410   0.005832 -122.51   <2e-16 ***
## IRON_SAT_PERCENT   -0.287782   0.005672  -50.73   <2e-16 ***
## HGB                -0.274668   0.005782  -47.50   <2e-16 ***
## CLM_FROM_1year_cat  0.431525   0.005938   72.67   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 209195  on 289262  degrees of freedom
## AIC: 209207
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.93 1.90, 1.95 <0.001
ALBUMIN 0.49 0.48, 0.50 <0.001
IRON_SAT_PERCENT 0.75 0.74, 0.76 <0.001
HGB 0.76 0.75, 0.77 <0.001
CLM_FROM_1year_cat 1.54 1.52, 1.56 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_15 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat race_cat_4

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.517
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.667
## Area under the curve: 0.818
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46757  3843
##      died  13062  8655
##                                           
##                Accuracy : 0.7662          
##                  95% CI : (0.7631, 0.7693)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3671          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6925          
##             Specificity : 0.7816          
##          Pos Pred Value : 0.3985          
##          Neg Pred Value : 0.9241          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1197          
##    Detection Prevalence : 0.3003          
##       Balanced Accuracy : 0.7371          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)        -2.508537   0.035075  -71.518  < 2e-16 ***
## age                 0.634762   0.006549   96.931  < 2e-16 ***
## ALBUMIN            -0.711977   0.005846 -121.792  < 2e-16 ***
## IRON_SAT_PERCENT   -0.282247   0.005681  -49.686  < 2e-16 ***
## HGB                -0.286745   0.005817  -49.292  < 2e-16 ***
## CLM_FROM_1year_cat  0.424845   0.005953   71.368  < 2e-16 ***
## race_cat_4Black     0.206247   0.036868    5.594 2.22e-08 ***
## race_cat_4Other    -0.037393   0.057833   -0.647    0.518    
## race_cat_4White     0.558290   0.035312   15.810  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208205  on 289259  degrees of freedom
## AIC: 208223
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.89 1.86, 1.91 <0.001
ALBUMIN 0.49 0.49, 0.50 <0.001
IRON_SAT_PERCENT 0.75 0.75, 0.76 <0.001
HGB 0.75 0.74, 0.76 <0.001
CLM_FROM_1year_cat 1.53 1.51, 1.55 <0.001
race_cat_4Black 1.23 1.14, 1.32 <0.001
race_cat_4Other 0.96 0.86, 1.08 0.5
race_cat_4White 1.75 1.63, 1.87 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_16 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat race_cat_4 state_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.517
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.667
## Area under the curve: 0.818
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46754  3835
##      died  13065  8663
##                                           
##                Accuracy : 0.7663          
##                  95% CI : (0.7632, 0.7694)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3674          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6932          
##             Specificity : 0.7816          
##          Pos Pred Value : 0.3987          
##          Neg Pred Value : 0.9242          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1198          
##    Detection Prevalence : 0.3005          
##       Balanced Accuracy : 0.7374          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)        -2.420995   0.037655  -64.295  < 2e-16 ***
## age                 0.637712   0.006582   96.888  < 2e-16 ***
## ALBUMIN            -0.712204   0.005848 -121.791  < 2e-16 ***
## IRON_SAT_PERCENT   -0.282566   0.005683  -49.725  < 2e-16 ***
## HGB                -0.286541   0.005829  -49.158  < 2e-16 ***
## CLM_FROM_1year_cat  0.423348   0.005962   71.005  < 2e-16 ***
## race_cat_4Black     0.162747   0.037702    4.317 1.58e-05 ***
## race_cat_4Other    -0.050267   0.057882   -0.868   0.3852    
## race_cat_4White     0.525975   0.035798   14.693  < 2e-16 ***
## state_catFIPSNE    -0.131690   0.017992   -7.320 2.49e-13 ***
## state_catFIPSS     -0.029338   0.014646   -2.003   0.0452 *  
## state_catFIPSW     -0.108808   0.018206   -5.977 2.28e-09 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208128  on 289256  degrees of freedom
## AIC: 208152
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.89 1.87, 1.92 <0.001
ALBUMIN 0.49 0.48, 0.50 <0.001
IRON_SAT_PERCENT 0.75 0.75, 0.76 <0.001
HGB 0.75 0.74, 0.76 <0.001
CLM_FROM_1year_cat 1.53 1.51, 1.55 <0.001
race_cat_4Black 1.18 1.09, 1.27 <0.001
race_cat_4Other 0.95 0.85, 1.06 0.4
race_cat_4White 1.69 1.58, 1.82 <0.001
state_catFIPSNE 0.88 0.85, 0.91 <0.001
state_catFIPSS 0.97 0.94, 1.00 0.045
state_catFIPSW 0.90 0.87, 0.93 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_17 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_UNCORRECTED

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.514
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.666
## Area under the curve: 0.8166
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46789  3865
##      died  13030  8633
##                                           
##                Accuracy : 0.7664          
##                  95% CI : (0.7633, 0.7695)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3666          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6908          
##             Specificity : 0.7822          
##          Pos Pred Value : 0.3985          
##          Neg Pred Value : 0.9237          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1194          
##    Detection Prevalence : 0.2996          
##       Balanced Accuracy : 0.7365          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -2.068786   0.007037 -293.98   <2e-16 ***
## age                  0.641270   0.006510   98.50   <2e-16 ***
## ALBUMIN             -0.777355   0.006559 -118.51   <2e-16 ***
## IRON_SAT_PERCENT    -0.286026   0.005680  -50.35   <2e-16 ***
## HGB                 -0.278934   0.005788  -48.19   <2e-16 ***
## CLM_FROM_1year_cat   0.429547   0.005944   72.27   <2e-16 ***
## CALCIUM_UNCORRECTED  0.135079   0.006227   21.69   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208722  on 289261  degrees of freedom
## AIC: 208736
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.90 1.87, 1.92 <0.001
ALBUMIN 0.46 0.45, 0.47 <0.001
IRON_SAT_PERCENT 0.75 0.74, 0.76 <0.001
HGB 0.76 0.75, 0.77 <0.001
CLM_FROM_1year_cat 1.54 1.52, 1.55 <0.001
CALCIUM_UNCORRECTED 1.14 1.13, 1.16 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_18 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_UNCORRECTED FERRITIN

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.514
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.666
## Area under the curve: 0.8167
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46815  3861
##      died  13004  8637
##                                           
##                Accuracy : 0.7668          
##                  95% CI : (0.7637, 0.7699)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3674          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6911          
##             Specificity : 0.7826          
##          Pos Pred Value : 0.3991          
##          Neg Pred Value : 0.9238          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1194          
##    Detection Prevalence : 0.2993          
##       Balanced Accuracy : 0.7368          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error z value Pr(>|z|)    
## (Intercept)         -2.069259   0.007039 -293.96   <2e-16 ***
## age                  0.635825   0.006525   97.45   <2e-16 ***
## ALBUMIN             -0.768787   0.006587 -116.72   <2e-16 ***
## IRON_SAT_PERCENT    -0.306653   0.005885  -52.10   <2e-16 ***
## HGB                 -0.264919   0.005873  -45.11   <2e-16 ***
## CLM_FROM_1year_cat   0.427847   0.005948   71.93   <2e-16 ***
## CALCIUM_UNCORRECTED  0.126133   0.006264   20.14   <2e-16 ***
## FERRITIN             0.073668   0.005282   13.95   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208529  on 289260  degrees of freedom
## AIC: 208545
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.89 1.86, 1.91 <0.001
ALBUMIN 0.46 0.46, 0.47 <0.001
IRON_SAT_PERCENT 0.74 0.73, 0.74 <0.001
HGB 0.77 0.76, 0.78 <0.001
CLM_FROM_1year_cat 1.53 1.52, 1.55 <0.001
CALCIUM_UNCORRECTED 1.13 1.12, 1.15 <0.001
FERRITIN 1.08 1.07, 1.09 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_19 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat CALCIUM_UNCORRECTED FERRITIN PHOSPHORUS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.514
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.666
## Area under the curve: 0.8168
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46829  3863
##      died  12990  8635
##                                         
##                Accuracy : 0.767         
##                  95% CI : (0.7639, 0.77)
##     No Information Rate : 0.8272        
##     P-Value [Acc > NIR] : 1             
##                                         
##                   Kappa : 0.3676        
##                                         
##  Mcnemar's Test P-Value : <2e-16        
##                                         
##             Sensitivity : 0.6909        
##             Specificity : 0.7828        
##          Pos Pred Value : 0.3993        
##          Neg Pred Value : 0.9238        
##              Prevalence : 0.1728        
##          Detection Rate : 0.1194        
##    Detection Prevalence : 0.2990        
##       Balanced Accuracy : 0.7369        
##                                         
##        'Positive' Class : died          
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -2.068959   0.007039 -293.943  < 2e-16 ***
## age                  0.629128   0.006731   93.469  < 2e-16 ***
## ALBUMIN             -0.763495   0.006715 -113.706  < 2e-16 ***
## IRON_SAT_PERCENT    -0.306566   0.005886  -52.088  < 2e-16 ***
## HGB                 -0.264875   0.005872  -45.111  < 2e-16 ***
## CLM_FROM_1year_cat   0.427795   0.005949   71.916  < 2e-16 ***
## CALCIUM_UNCORRECTED  0.123506   0.006303   19.596  < 2e-16 ***
## FERRITIN             0.072153   0.005295   13.627  < 2e-16 ***
## PHOSPHORUS          -0.024473   0.006101   -4.012 6.03e-05 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208513  on 289259  degrees of freedom
## AIC: 208531
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.88 1.85, 1.90 <0.001
ALBUMIN 0.47 0.46, 0.47 <0.001
IRON_SAT_PERCENT 0.74 0.73, 0.74 <0.001
HGB 0.77 0.76, 0.78 <0.001
CLM_FROM_1year_cat 1.53 1.52, 1.55 <0.001
CALCIUM_UNCORRECTED 1.13 1.12, 1.15 <0.001
FERRITIN 1.07 1.06, 1.09 <0.001
PHOSPHORUS 0.98 0.96, 0.99 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_20 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.504
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.658
## Area under the curve: 0.798
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 47012  4232
##      died  12807  8266
##                                           
##                Accuracy : 0.7644          
##                  95% CI : (0.7613, 0.7675)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3518          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6614          
##             Specificity : 0.7859          
##          Pos Pred Value : 0.3923          
##          Neg Pred Value : 0.9174          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1143          
##    Detection Prevalence : 0.2914          
##       Balanced Accuracy : 0.7236          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                   Estimate Std. Error z value Pr(>|z|)    
## (Intercept)      -2.091990   0.009321 -224.44   <2e-16 ***
## age               0.682846   0.006418  106.39   <2e-16 ***
## ALBUMIN          -0.768015   0.005773 -133.05   <2e-16 ***
## IRON_SAT_PERCENT -0.306214   0.005624  -54.45   <2e-16 ***
## HGB              -0.307903   0.005749  -53.55   <2e-16 ***
## sex_catMale       0.175436   0.011131   15.76   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 214466  on 289262  degrees of freedom
## AIC: 214478
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.98 1.95, 2.00 <0.001
ALBUMIN 0.46 0.46, 0.47 <0.001
IRON_SAT_PERCENT 0.74 0.73, 0.74 <0.001
HGB 0.73 0.73, 0.74 <0.001
sex_catMale 1.19 1.17, 1.22 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_21 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat CLM_FROM_1year_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.515
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.666
## Area under the curve: 0.8165
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46834  3914
##      died  12985  8584
##                                           
##                Accuracy : 0.7663          
##                  95% CI : (0.7632, 0.7694)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.365           
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6868          
##             Specificity : 0.7829          
##          Pos Pred Value : 0.3980          
##          Neg Pred Value : 0.9229          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1187          
##    Detection Prevalence : 0.2983          
##       Balanced Accuracy : 0.7349          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error z value Pr(>|z|)    
## (Intercept)        -2.178120   0.009667 -225.31   <2e-16 ***
## age                 0.656705   0.006479  101.36   <2e-16 ***
## ALBUMIN            -0.718428   0.005841 -123.00   <2e-16 ***
## IRON_SAT_PERCENT   -0.286247   0.005675  -50.44   <2e-16 ***
## HGB                -0.276991   0.005784  -47.89   <2e-16 ***
## sex_catMale         0.198635   0.011268   17.63   <2e-16 ***
## CLM_FROM_1year_cat  0.434514   0.005947   73.07   <2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208882  on 289261  degrees of freedom
## AIC: 208896
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.93 1.90, 1.95 <0.001
ALBUMIN 0.49 0.48, 0.49 <0.001
IRON_SAT_PERCENT 0.75 0.74, 0.76 <0.001
HGB 0.76 0.75, 0.77 <0.001
sex_catMale 1.22 1.19, 1.25 <0.001
CLM_FROM_1year_cat 1.54 1.53, 1.56 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_22 : age ALBUMIN IRON_SAT_PERCENT HGB sex_cat CLM_FROM_1year_cat race_cat_4

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.519
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.668
## Area under the curve: 0.8187
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46818  3826
##      died  13001  8672
##                                           
##                Accuracy : 0.7673          
##                  95% CI : (0.7642, 0.7704)
##     No Information Rate : 0.8272          
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0.3693          
##                                           
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6939          
##             Specificity : 0.7827          
##          Pos Pred Value : 0.4001          
##          Neg Pred Value : 0.9245          
##              Prevalence : 0.1728          
##          Detection Rate : 0.1199          
##    Detection Prevalence : 0.2997          
##       Balanced Accuracy : 0.7383          
##                                           
##        'Positive' Class : died            
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)        -2.612162   0.035756  -73.055  < 2e-16 ***
## age                 0.636895   0.006555   97.163  < 2e-16 ***
## ALBUMIN            -0.715801   0.005855 -122.255  < 2e-16 ***
## IRON_SAT_PERCENT   -0.280975   0.005683  -49.445  < 2e-16 ***
## HGB                -0.288197   0.005818  -49.536  < 2e-16 ***
## CLM_FROM_1year_cat  0.427749   0.005961   71.758  < 2e-16 ***
## sex_catMale         0.177662   0.011319   15.695  < 2e-16 ***
## race_cat_4Black     0.219596   0.036910    5.950 2.69e-09 ***
## race_cat_4Other    -0.030253   0.057882   -0.523    0.601    
## race_cat_4White     0.556048   0.035342   15.733  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 207958  on 289258  degrees of freedom
## AIC: 207978
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.89 1.87, 1.92 <0.001
ALBUMIN 0.49 0.48, 0.49 <0.001
IRON_SAT_PERCENT 0.76 0.75, 0.76 <0.001
HGB 0.75 0.74, 0.76 <0.001
CLM_FROM_1year_cat 1.53 1.52, 1.55 <0.001
sex_catMale 1.19 1.17, 1.22 <0.001
race_cat_4Black 1.25 1.16, 1.34 <0.001
race_cat_4Other 0.97 0.87, 1.09 0.6
race_cat_4White 1.74 1.63, 1.87 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_23 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat rstate_cat

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.515
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.666
## Area under the curve: 0.8166
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46779  3872
##      died  13040  8626
##                                          
##                Accuracy : 0.7661         
##                  95% CI : (0.763, 0.7692)
##     No Information Rate : 0.8272         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.366          
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.6902         
##             Specificity : 0.7820         
##          Pos Pred Value : 0.3981         
##          Neg Pred Value : 0.9236         
##              Prevalence : 0.1728         
##          Detection Rate : 0.1193         
##    Detection Prevalence : 0.2996         
##       Balanced Accuracy : 0.7361         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                     Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)        -2.103094   0.014250 -147.588  < 2e-16 ***
## age                 0.659309   0.006520  101.118  < 2e-16 ***
## ALBUMIN            -0.718992   0.005843 -123.042  < 2e-16 ***
## IRON_SAT_PERCENT   -0.286190   0.005677  -50.411  < 2e-16 ***
## HGB                -0.276383   0.005799  -47.659  < 2e-16 ***
## CLM_FROM_1year_cat  0.432770   0.005955   72.670  < 2e-16 ***
## sex_catMale         0.201113   0.011276   17.835  < 2e-16 ***
## state_catFIPSNE    -0.144626   0.017972   -8.047 8.46e-16 ***
## state_catFIPSS     -0.064029   0.014560   -4.398 1.09e-05 ***
## state_catFIPSW     -0.136781   0.017890   -7.646 2.08e-14 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208793  on 289258  degrees of freedom
## AIC: 208813
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.93 1.91, 1.96 <0.001
ALBUMIN 0.49 0.48, 0.49 <0.001
IRON_SAT_PERCENT 0.75 0.74, 0.76 <0.001
HGB 0.76 0.75, 0.77 <0.001
CLM_FROM_1year_cat 1.54 1.52, 1.56 <0.001
sex_catMale 1.22 1.20, 1.25 <0.001
state_catFIPSNE 0.87 0.84, 0.90 <0.001
state_catFIPSS 0.94 0.91, 0.97 <0.001
state_catFIPSW 0.87 0.84, 0.90 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_24 : age ALBUMIN IRON_SAT_PERCENT HGB CLM_FROM_1year_cat sex_cat CALCIUM_UNCORRECTED FERRITIN PHOSPHORUS

## # A tibble: 1 × 3
##   .metric .estimator .estimate
##   <chr>   <chr>          <dbl>
## 1 pr_auc  binary         0.518
## # A tibble: 1 × 3
##   .metric     .estimator .estimate
##   <chr>       <chr>          <dbl>
## 1 brier_class binary         0.667
## Area under the curve: 0.818
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction alive  died
##      alive 46929  3881
##      died  12890  8617
##                                          
##                Accuracy : 0.7681         
##                  95% CI : (0.765, 0.7712)
##     No Information Rate : 0.8272         
##     P-Value [Acc > NIR] : 1              
##                                          
##                   Kappa : 0.3688         
##                                          
##  Mcnemar's Test P-Value : <2e-16         
##                                          
##             Sensitivity : 0.6895         
##             Specificity : 0.7845         
##          Pos Pred Value : 0.4007         
##          Neg Pred Value : 0.9236         
##              Prevalence : 0.1728         
##          Detection Rate : 0.1192         
##    Detection Prevalence : 0.2974         
##       Balanced Accuracy : 0.7370         
##                                          
##        'Positive' Class : died           
## 
## 
## Call:
## NULL
## 
## Coefficients:
##                      Estimate Std. Error  z value Pr(>|z|)    
## (Intercept)         -2.206609   0.009770 -225.864  < 2e-16 ***
## age                  0.629356   0.006739   93.387  < 2e-16 ***
## ALBUMIN             -0.776165   0.006754 -114.921  < 2e-16 ***
## IRON_SAT_PERCENT    -0.305415   0.005889  -51.862  < 2e-16 ***
## HGB                 -0.267464   0.005874  -45.533  < 2e-16 ***
## CLM_FROM_1year_cat   0.430983   0.005959   72.326  < 2e-16 ***
## sex_catMale          0.239708   0.011400   21.026  < 2e-16 ***
## CALCIUM_UNCORRECTED  0.140538   0.006367   22.074  < 2e-16 ***
## FERRITIN             0.076290   0.005312   14.361  < 2e-16 ***
## PHOSPHORUS          -0.022966   0.006098   -3.766 0.000166 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## (Dispersion parameter for binomial family taken to be 1)
## 
##     Null deviance: 266319  on 289267  degrees of freedom
## Residual deviance: 208067  on 289258  degrees of freedom
## AIC: 208087
## 
## Number of Fisher Scoring iterations: 5
Characteristic OR1 95% CI1 p-value
age 1.88 1.85, 1.90 <0.001
ALBUMIN 0.46 0.45, 0.47 <0.001
IRON_SAT_PERCENT 0.74 0.73, 0.75 <0.001
HGB 0.77 0.76, 0.77 <0.001
CLM_FROM_1year_cat 1.54 1.52, 1.56 <0.001
sex_catMale 1.27 1.24, 1.30 <0.001
CALCIUM_UNCORRECTED 1.15 1.14, 1.17 <0.001
FERRITIN 1.08 1.07, 1.09 <0.001
PHOSPHORUS 0.98 0.97, 0.99 <0.001
1 OR = Odds Ratio, CI = Confidence Interval

model_12 vs model_13 Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2  48929   1922
##   >= 0.2  2211  19255
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   3763    544
##   >= 0.2   455   7736
##         New
## Standard < 0.2 >= 0.2
##   < 0.2  45166   1378
##   >= 0.2  1756  11519

##                  Estimate
## NRI           0.013440202
## NRI+          0.007121139
## NRI-          0.006319063
## Pr(Up|Case)   0.043526964
## Pr(Down|Case) 0.036405825
## Pr(Down|Ctrl) 0.029355222
## Pr(Up|Ctrl)   0.023036159
##                  Estimate    Std.Error       Lower       Upper
## NRI           0.013440202 0.0026413164 0.008151912 0.018762788
## NRI+          0.007121139 0.0024823553 0.002031467 0.011883842
## NRI-          0.006319063 0.0009779882 0.004400827 0.008278948
## Pr(Up|Case)   0.043526964 0.0017728315 0.039985528 0.047064479
## Pr(Down|Case) 0.036405825 0.0016822331 0.033153876 0.039770916
## Pr(Down|Ctrl) 0.029355222 0.0007124233 0.027974651 0.030780662
## Pr(Up|Ctrl)   0.023036159 0.0006300763 0.021796019 0.024245110

model_12 vs model_14 Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2  46498   4353
##   >= 0.2  4105  17361
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   3241   1066
##   >= 0.2   651   7540
##         New
## Standard < 0.2 >= 0.2
##   < 0.2  43257   3287
##   >= 0.2  3454   9821

##                  Estimate
## NRI           0.035997068
## NRI+          0.033205313
## NRI-          0.002791755
## Pr(Up|Case)   0.085293647
## Pr(Down|Case) 0.052088334
## Pr(Down|Ctrl) 0.057740852
## Pr(Up|Ctrl)   0.054949096
##                  Estimate    Std.Error        Lower       Upper
## NRI           0.035997068 0.0036645312 0.0286724661 0.043207831
## NRI+          0.033205313 0.0033580053 0.0262936635 0.039865206
## NRI-          0.002791755 0.0013640239 0.0001674173 0.005579906
## Pr(Up|Case)   0.085293647 0.0025339040 0.0800431058 0.090046055
## Pr(Down|Case) 0.052088334 0.0019851529 0.0481467043 0.056156489
## Pr(Down|Ctrl) 0.057740852 0.0009729783 0.0558129407 0.059736288
## Pr(Up|Ctrl)   0.054949096 0.0009149237 0.0532179430 0.056725985

model_13 vs model_14 Full Population (all patients) vs Cases Only (people who actually died) vs Controls Only (people who survived)

##         New
## Standard < 0.2 >= 0.2
##   < 0.2  47017   4123
##   >= 0.2  3586  17591
##         New
## Standard < 0.2 >= 0.2
##   < 0.2   3286    932
##   >= 0.2   606   7674
##         New
## Standard < 0.2 >= 0.2
##   < 0.2  43731   3191
##   >= 0.2  2980   9917

##                   Estimate
## NRI            0.022556866
## NRI+           0.026084173
## NRI-          -0.003527307
## Pr(Up|Case)    0.074571932
## Pr(Down|Case)  0.048487758
## Pr(Down|Ctrl)  0.049816948
## Pr(Up|Ctrl)    0.053344255
##                   Estimate    Std.Error        Lower         Upper
## NRI            0.022556866 0.0033188915  0.016371290  0.0293655558
## NRI+           0.026084173 0.0030529201  0.020342784  0.0322581540
## NRI-          -0.003527307 0.0013526816 -0.006118782 -0.0008189014
## Pr(Up|Case)    0.074571932 0.0022470749  0.070259374  0.0789979129
## Pr(Down|Case)  0.048487758 0.0019049600  0.044722943  0.0523012055
## Pr(Down|Ctrl)  0.049816948 0.0009136710  0.048143042  0.0516659237
## Pr(Up|Ctrl)    0.053344255 0.0009326839  0.051392539  0.0551035896

hoslem.test model_12

##             cutyhat Var2 Freq_observed
## 1  [0.00108,0.0492]   y0         14015
## 2   (0.0492,0.0906]   y0         13501
## 3    (0.0906,0.152]   y0         12812
## 4      (0.152,0.27]   y0         11582
## 5      (0.27,0.982]   y0          7909
## 6  [0.00108,0.0492]   y1           449
## 7   (0.0492,0.0906]   y1           962
## 8    (0.0906,0.152]   y1          1651
## 9      (0.152,0.27]   y1          2881
## 10     (0.27,0.982]   y1          6555
##             cutyhat  Var2 Freq_expected
## 1  [0.00108,0.0492] yhat0    14041.1738
## 2   (0.0492,0.0906] yhat0    13466.1678
## 3    (0.0906,0.152] yhat0    12749.5108
## 4      (0.152,0.27] yhat0    11536.3725
## 5      (0.27,0.982] yhat0     8030.2462
## 6  [0.00108,0.0492] yhat1      422.8262
## 7   (0.0492,0.0906] yhat1      996.8322
## 8    (0.0906,0.152] yhat1     1713.4892
## 9      (0.152,0.27] yhat1     2926.6275
## 10     (0.27,0.982] yhat1     6433.7538

hoslem.test model_13

##             cutyhat Var2 Freq_observed
## 1  [0.00106,0.0471]   y0         14020
## 2   (0.0471,0.0874]   y0         13537
## 3    (0.0874,0.148]   y0         12887
## 4     (0.148,0.269]   y0         11601
## 5     (0.269,0.989]   y0          7774
## 6  [0.00106,0.0471]   y1           444
## 7   (0.0471,0.0874]   y1           926
## 8    (0.0874,0.148]   y1          1576
## 9     (0.148,0.269]   y1          2862
## 10    (0.269,0.989]   y1          6690
##             cutyhat  Var2 Freq_expected
## 1  [0.00106,0.0471] yhat0    14059.6387
## 2   (0.0471,0.0874] yhat0    13505.2362
## 3    (0.0874,0.148] yhat0    12796.7825
## 4     (0.148,0.269] yhat0    11573.4702
## 5     (0.269,0.989] yhat0     7892.0772
## 6  [0.00106,0.0471] yhat1      404.3613
## 7   (0.0471,0.0874] yhat1      957.7638
## 8    (0.0874,0.148] yhat1     1666.2175
## 9     (0.148,0.269] yhat1     2889.5298
## 10    (0.269,0.989] yhat1     6571.9228

hoslem.test model_14

##             cutyhat Var2 Freq_observed
## 1  [0.00101,0.0386]   y0         14177
## 2   (0.0386,0.0782]   y0         13694
## 3    (0.0782,0.146]   y0         12893
## 4     (0.146,0.283]   y0         11428
## 5     (0.283,0.988]   y0          7627
## 6  [0.00101,0.0386]   y1           287
## 7   (0.0386,0.0782]   y1           769
## 8    (0.0782,0.146]   y1          1570
## 9     (0.146,0.283]   y1          3035
## 10    (0.283,0.988]   y1          6837
##             cutyhat  Var2 Freq_expected
## 1  [0.00101,0.0386] yhat0    14138.0886
## 2   (0.0386,0.0782] yhat0    13637.7051
## 3    (0.0782,0.146] yhat0    12890.0060
## 4     (0.146,0.283] yhat0    11503.6725
## 5     (0.283,0.988] yhat0     7659.1454
## 6  [0.00101,0.0386] yhat1      325.9114
## 7   (0.0386,0.0782] yhat1      825.2949
## 8    (0.0782,0.146] yhat1     1572.9940
## 9     (0.146,0.283] yhat1     2959.3275
## 10    (0.283,0.988] yhat1     6804.8546