Table 1.
Empirical false discovery rate and false non-discovery rate (10−4 unit) and their standard errors for the optimal false discovery rate procedure based on 100 simulations where the sample sizes are determined by Corollary 1 for the independent sequences with the same alternative odds ratio for fdr = 0.05 and fnr = 10−4.
Independent sequence with the same alternative odds ratios | Short-ranged dependent sequence with different alternative odds ratios | |||
---|---|---|---|---|
Odds ratio | Empirical fdr | Empirical fnr | Empirical fdr | Empirical fnr |
1.20 | 0.050 (0.028) | 1.04 (0.10) | 0.051 (0.030) | 1.04 (0.10) |
1.23 | 0.048 (0.028) | 1.03 (0.12) | 0.051 (0.032) | 1.04 (0.11) |
1.26 | 0.045 (0.030) | 1.04 (0.11) | 0.055 (0.033) | 1.04 (0.11) |
1.29 | 0.046 (0.030) | 1.15 (0.13) | 0.053 (0.031) | 1.03 (0.11) |
1.33 | 0.053 (0.033) | 1.04 (0.11) | 0.054 (0.032) | 1.05 (0.10) |
1.36 | 0.047 (0.029) | 1.01 (0.13) | 0.049 (0.029) | 1.00 (0.12) |
1.39 | 0.051 (0.030) | 1.02 (0.11) | 0.051 (0.033) | 1.01 (0.11) |
1.43 | 0.046 (0.033) | 1.05 (0.12) | 0.044 (0.029) | 1.04 (0.11) |
1.46 | 0.046 (0.027) | 1.04 (0.10) | 0.046 (0.025) | 1.02 (0.11) |
1.50 | 0.051 (0.027) | 1.03 (0.13) | 0.053 (0.033) | 1.03 (0.12) |
fdr, false discovery rate; fnr, false non-discovery rate.