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 |