Table 6.
n | π 1 | Power | ||||||
---|---|---|---|---|---|---|---|---|
Rank test | t-test | KS test | Permutation | Empirical Bayes | Bump hunting BH | Bump hunting q-value | ||
3 | 0.01 | 0 | 0.0112 | 0 | 0 | 0.0000 | 0.9854 | 0.9854 |
0.05 | 0 | 0.0106 | 0 | 0 | 0.0002 | 0.3328 | 0.3328 | |
0.10 | 0 | 0.0113 | 0 | 0 | 0.0000 | 0.1788 | 0.1788 | |
0.25 | 0 | 0.0108 | 0 | 0 | 0.0003 | 0.0779 | 0.0779 | |
0.50 | 0 | 0.0113 | 0 | 0 | 0.0009 | 0.0453 | 0.0461 | |
0.75 | 0 | 0.0119 | 0 | 0 | 0.0018 | 0.0353 | 0.0388 | |
0.90 | 0 | 0.0120 | 0 | 0 | 0.0031 | 0.0322 | 0.0379 | |
6 | 0.01 | 0.0000 | 0.0018 | 0.0000 | 0.0000 | 0.0154 | 0.1131 | 0.1135 |
0.05 | 0.0000 | 0.0014 | 0.0000 | 0.0000 | 0.0167 | 0.0266 | 0.0270 | |
0.10 | 0.0000 | 0.0012 | 0.0000 | 0.0000 | 0.0215 | 0.0150 | 0.0153 | |
0.25 | 0.0000 | 0.0012 | 0.0000 | 0.0000 | 0.0450 | 0.0121 | 0.0139 | |
0.50 | 0.0000 | 0.0014 | 0.0000 | 0.0000 | 0.0889 | 0.0148 | 0.0285 | |
0.75 | 0.0000 | 0.0020 | 0.0000 | 0.0000 | 0.1300 | 0.0224 | 0.0851 | |
0.90 | 0.0001 | 0.0029 | 0.0001 | 0.0001 | 0.1514 | 0.0287 | 0.1773 | |
12 | 0.01 | 0.0128 | 0.0333 | 0.0060 | 0.0000 | 0.0982 | 0.0676 | 0.0707 |
0.05 | 0.0204 | 0.0564 | 0.0072 | 0.0000 | 0.1598 | 0.0726 | 0.0765 | |
0.10 | 0.0432 | 0.0934 | 0.0174 | 0.0002 | 0.2135 | 0.1085 | 0.1183 | |
0.25 | 0.1298 | 0.1953 | 0.0836 | 0.1070 | 0.3081 | 0.2091 | 0.2514 | |
0.50 | 0.2574 | 0.3095 | 0.1953 | 0.2701 | 0.3976 | 0.3195 | 0.4377 | |
0.75 | 0.3572 | 0.3824 | 0.3009 | 0.3582 | 0.4547 | 0.3874 | 0.6143 | |
0.90 | 0.3902 | 0.4170 | 0.3011 | 0.3975 | 0.4806 | 0.4186 | 0.7283 | |
24 | 0.01 | 0.2030 | 0.3114 | 0.1950 | 0.0000 | 0.3806 | 0.3472 | 0.3515 |
0.05 | 0.3841 | 0.4476 | 0.5185 | 0.2202 | 0.4968 | 0.4795 | 0.4890 | |
0.10 | 0.4865 | 0.5115 | 0.5711 | 0.4547 | 0.5510 | 0.5407 | 0.5560 | |
0.25 | 0.6240 | 0.6080 | 0.7351 | 0.5875 | 0.6333 | 0.6338 | 0.6718 | |
0.50 | 0.7222 | 0.6796 | 0.8634 | 0.6699 | 0.6968 | 0.6972 | 0.7876 | |
0.75 | 0.7769 | 0.7209 | 0.9425 | 0.7145 | 0.7335 | 0.7295 | 0.8899 | |
0.90 | 0.7954 | 0.7395 | 0.9431 | 0.7343 | 0.7503 | 0.7423 | 0.9548 |