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Table 1 The setting of populations

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

  Mean difference Correlation Coefficients Non-diseased Diseased  
Case 1 2 ρ 0 ρ 1 a * a *T μ 0 Q 0 a *T μ 1 Q 1 pAUC(a*)
1 0.0 0.0 0.0 0.0 0.00 0.00 NA NA NA NA 0.0050
2 0.0 0.3 0.0 0.0 0.00 1.00 0.00 1.00 0.30 1.00 0.0088
3 0.0 0.5 0.0 0.0 0.00 1.00 0.00 1.00 0.50 1.00 0.0123
4 0.0 1.0 0.0 0.0 0.00 1.00 0.00 1.00 1.00 1.00 0.0245
5 0.0 0.3 0.5 0.5 -0.45 0.89 0.00 0.60 0.27 0.60 0.0095
6 0.0 0.5 0.5 0.5 -0.45 0.89 0.00 0.60 0.45 0.60 0.0138
7 0.0 1.0 0.5 0.5 -0.45 0.89 0.00 0.60 0.89 0.60 0.0292
8 0.0 0.3 0.9 0.9 -0.67 0.74 0.00 0.10 0.22 0.10 0.0163
9 0.0 0.5 0.9 0.9 -0.67 0.74 0.00 0.10 0.37 0.10 0.0290
10 0.0 1.0 0.9 0.9 -0.67 0.74 0.00 0.10 0.74 0.10 0.0690
11 0.0 0.3 0.5 0.0 -0.65 0.77 0.00 0.51 0.23 1.00 0.0164
12 0.0 0.5 0.5 0.0 -0.61 0.80 0.00 0.52 0.40 1.00 0.0204
13 0.0 1.0 0.5 0.0 -0.52 0.86 0.00 0.56 0.86 1.00 0.0333
14 0.0 0.3 0.9 0.0 -0.69 0.72 0.00 0.10 0.22 1.00 0.0367
15 0.0 0.5 0.9 0.0 -0.68 0.73 0.00 0.10 0.37 1.00 0.0422
16 0.0 1.0 0.9 0.0 -0.66 0.76 0.00 0.11 0.75 1.00 0.0567
17 0.0 0.3 0.0 0.5 0.56 0.83 0.00 1.00 0.25 1.46 0.0119
18 0.0 0.5 0.0 0.5 0.47 0.88 0.00 1.00 0.44 1.41 0.0148
19 0.0 1.0 0.0 0.5 0.24 0.98 0.00 1.00 0.97 1.23 0.0256
20 0.0 0.3 0.0 0.9 0.60 0.80 0.00 1.00 0.24 1.87 0.0144
21 0.0 0.5 0.0 0.9 0.53 0.85 0.00 1.00 0.42 1.81 0.0172
22 0.0 1.0 0.0 0.9 0.33 0.95 0.00 1.00 0.95 1.55 0.0270
23 0.3 0.3 0.0 0.0 0.71 0.71 0.00 1.00 0.43 1.00 0.0109
24 0.5 0.5 0.0 0.0 0.71 0.71 0.00 1.00 0.71 1.00 0.0167
25 1.0 1.0 0.0 0.0 0.71 0.71 0.00 1.00 1.41 1.00 0.0380