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Table 5 The related pAUCs based on multivariate t distribution with degree of freedom 3

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

Population (X)   pAUC
Mean difference Correlation   Forward selection Backward selection
1 2 ρ 0 ρ 1 pAUC(a * ) Ave SE Ave SE
0.0 0.3 0.5 0.5 0.0070 0.0159 0.0057 0.0143 0.0062
0.0 0.5 0.5 0.5 0.0088 0.0165 0.0058 0.0140 0.0063
0.0 1.0 0.5 0.5 0.0160 0.0205 0.0074 0.0166 0.0083
0.0 0.3 0.5 0.0 0.0116 0.0175 0.0069 0.0108 0.0066
0.0 0.5 0.5 0.0 0.0136 0.0187 0.0079 0.0121 0.0075
0.0 1.0 0.5 0.0 0.0206 0.0224 0.0089 0.0147 0.0093
0.0 0.3 0.0 0.5 0.0088 0.0166 0.0058 0.0137 0.0062
0.0 0.5 0.0 0.5 0.0101 0.0168 0.0060 0.0143 0.0066
0.0 1.0 0.0 0.5 0.0150 0.0197 0.0067 0.0178 0.0073
0.3 0.3 0.0 0.0 0.0076 0.0158 0.0051 0.0149 0.0055
0.5 0.5 0.0 0.0 0.0101 0.0169 0.0059 0.0158 0.0063
1.0 1.0 0.0 0.0 0.0206 0.0241 0.0086 0.0225 0.0094