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Table 8 The Forward and Backward selections in DMD and heart disease examples

From: Biomarker selection for medical diagnosis using the partial area under the ROC curve

I. Forward selection
Example Step Marker enters Test statistic Test value p-value Marker selected
DMD 1 X 1 pAUC ^ 0.0882 0.000* X 1
  2 X 3 a ^ 3 0.1775 0.006* X 1 ,X 3
  3 X 2 a ^ 2 0.0653 0.272 X 1 ,X 3
Heart Disease 1 lutein pAUC ^ 0.0099 0.012* lutein
  2 TBARS a ^ T BARS 0.7922 0.082 lutein
  3 uric acid a ^ uric acid 0.5091 0.258 lutein
  4 HDL Chol a ^ HDL C 0.3352 0.428 lutein
II. Backward selection
Example Step Marker enters Test statistic Test value p-value Marker selected
DMD 1 All pAUC ^ 0.0888 0.000* X 1 ,X 2 ,X 3
  2 X 2 a ^ 2 0.0653 0.272 X 1 ,X 3
  3 X 3 a ^ 3 0.1775 0.006* X 1 ,X 3
  4 X 1 a ^ 1 0.9841 0.000* X 1 ,X 3
Heart Disease 1 All pAUC ^ 0.0165 0.002* lutein,TBARS, HDL Chol, uric acid
  2 HDL Chol a ^ HDL C 0.0834 0.632 lutein, TBARS, uric acid
  3 uric acid a ^ uricacid 0.1916 0.316 lutein, TBARS
  4 TBARS a ^ T BARS 0.7922 0.100 lutein
  1. Note: * indicates a significance of α = 5%.