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. 2013 Mar 21;9(3):e1003348. doi: 10.1371/journal.pgen.1003348

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.