Table 5. Numbers of cases and controls (in 1000s of each, rounded up) required to attain a specified AUC using a panel of 1,000,000 markers that explains the full heritability.
AUC | π0 = 0.999 | π0 = 0.99 | π0 = 0.90 | π0 = 0.75 | π0 = 0 | |
Crohn's disease (h 2 = 0.76, K = 0.001, Max = 1.00) | 0.75 | 1 (0.00007) | 5 (0.0004) | 25 (0.08) | 27 (1) | 27 (1) |
0.9 = 0.9*Max | 2 (0.00007) | 10 (0.0004) | 62 (0.01) | 107 (0.1) | 117 (1) | |
0.95 = 0.95*Max | 3 (0.00007) | 16 (0.0005) | 103 (0.01) | 190 (0.05) | 243 (1) | |
0.99 = 0.99*Max | 8 (0.00007) | 58 (0.0003) | 413 (0.006) | 847 (0.02) | 1487 (1) | |
Breast cancer (h 2 = 0.44, K = 0.036, Max = 0.89) | 0.75 | 6 (0.00007) | 41 (0.0004) | 256 (0.01) | 448 (0.09) | 505 (1) |
0.801 = 0.9*Max | 9 (0.00007) | 65 (0.0005) | 428 (0.009) | 806 (0.05) | 1062 (1) | |
0.8455 = 0.95*Max | 17 (0.00007) | 124 (0.0004) | 857 (0.007) | 1702 (0.03) | 2656 (1) | |
0.8811 = 0.99*Max | 77 (0.00007) | 566 (0.0002) | 4305 (0.004) | 9223 (0.01) | 19191 (1) |
π0, proportion of SNPs having no effect on disease. Max, maximum AUC achievable given the genetic variance of the marker panel. In parentheses, P-value threshold that maximises the AUC.