1. A prediction-based alternative to P values in regression models
Min Lu, BS, Hemant Ishwaran, PhD 
The Journal of Thoracic and Cardiovascular Surgery 
Volume 155, Issue 3, Pages e4 (March 2018)
DOI: /j.jtcvs
Copyright © 2017 The American Association for Thoracic Surgery Terms and Conditions

2. Figure 1
Log-hazard function from Cox simulation example. The left panel displays the true log-hazard function, which includes the nonlinear term for tumor volume. The right panel displays the log-hazard function, assuming linear variables only. psa, Prostate-specific antigen.
The Journal of Thoracic and Cardiovascular Surgery  , e4DOI: ( /j.jtcvs )
Copyright © 2017 The American Association for Thoracic Surgery Terms and Conditions

3. Figure E1
Robustness of VIMP to the sample size. Logarithm of P value as a function of fraction of sample size for systolic heart failure data is shown (large negative values correspond to near zero P values). Values are calculated with 500 independently subsampled data sets. Horizontal line is log (0.05), the typical threshold used to identify a significant variable. Red boxplots indicate variables with interquartile values below the P-value cutoff.
The Journal of Thoracic and Cardiovascular Surgery  , e4DOI: ( /j.jtcvs )
Copyright © 2017 The American Association for Thoracic Surgery Terms and Conditions

4. Figure E2
Robustness of VIMP to the sample size. Subsampled data are the same as Figure E1, but where VIMP is now reported. Red boxplots indicate variables with interquartile values above zero. VIMP, Variable importance.
The Journal of Thoracic and Cardiovascular Surgery  , e4DOI: ( /j.jtcvs )
Copyright © 2017 The American Association for Thoracic Surgery Terms and Conditions

5. Prediction error calculated using in-sample (blue) and out-of-sample (red) bootstrap data.
The Journal of Thoracic and Cardiovascular Surgery  , e4DOI: ( /j.jtcvs )
Copyright © 2017 The American Association for Thoracic Surgery Terms and Conditions