Table 8.
n | π 1 | Standard deviation of total discoveries | ||||||
---|---|---|---|---|---|---|---|---|
Rank test | t-test | KS test | Permutation | Empirical Bayes | Bump hunting BH | Bump hunting q-value | ||
3 | 0.01 | 0 | 3.51 | 0 | 0 | 0.57 | 4.94 | 4.94 |
0.05 | 0 | 3.36 | 0 | 0 | 0.87 | 5.08 | 5.08 | |
0.10 | 0 | 3.48 | 0 | 0 | 0.00 | 5.01 | 5.01 | |
0.25 | 0 | 3.55 | 0 | 0 | 0.56 | 5.36 | 5.37 | |
0.50 | 0 | 4.17 | 0 | 0 | 1.71 | 6.30 | 6.43 | |
0.75 | 0 | 4.41 | 0 | 0 | 3.45 | 6.38 | 7.03 | |
0.90 | 0 | 4.74 | 0 | 0 | 5.00 | 7.04 | 8.05 | |
6 | 0.01 | 0.00 | 0.70 | 0.00 | 0.00 | 0.41 | 1.26 | 1.26 |
0.05 | 0.00 | 0.77 | 0.00 | 0.00 | 1.19 | 1.47 | 1.50 | |
0.10 | 0.00 | 0.72 | 0.00 | 0.00 | 2.26 | 1.68 | 1.73 | |
0.25 | 0.00 | 1.16 | 0.00 | 0.00 | 6.00 | 2.93 | 3.33 | |
0.50 | 0.00 | 2.32 | 0.00 | 0.00 | 12.26 | 5.89 | 9.53 | |
0.75 | 0.00 | 6.88 | 0.00 | 0.00 | 17.56 | 10.06 | 27.22 | |
0.90 | 1.94 | 17.78 | 1.94 | 1.97 | 20.27 | 13.17 | 51.04 | |
12 | 0.01 | 0.51 | 0.94 | 0.29 | 0.00 | 1.07 | 1.06 | 1.11 |
0.05 | 1.62 | 2.79 | 0.99 | 0.00 | 3.48 | 2.96 | 3.07 | |
0.10 | 4.32 | 5.61 | 2.48 | 0.63 | 5.38 | 5.74 | 6.06 | |
0.25 | 12.32 | 10.81 | 14.19 | 15.07 | 9.15 | 10.80 | 12.37 | |
0.50 | 13.79 | 15.16 | 51.68 | 17.03 | 13.59 | 15.14 | 20.58 | |
0.75 | 31.06 | 18.20 | 11.72 | 19.36 | 15.82 | 18.11 | 32.88 | |
0.90 | 19.40 | 19.47 | 13.90 | 20.84 | 17.52 | 19.47 | 44.66 | |
24 | 0.01 | 1.66 | 1.62 | 1.67 | 0.00 | 1.35 | 1.62 | 1.62 |
0.05 | 4.68 | 3.77 | 6.71 | 10.98 | 3.44 | 3.78 | 3.86 | |
0.10 | 6.50 | 5.31 | 6.31 | 5.09 | 4.91 | 5.32 | 5.47 | |
0.25 | 9.92 | 7.98 | 7.73 | 8.23 | 7.62 | 8.01 | 9.26 | |
0.50 | 12.56 | 10.37 | 7.95 | 10.64 | 10.00 | 10.40 | 14.80 | |
0.75 | 12.78 | 11.00 | 6.64 | 11.17 | 10.69 | 11.00 | 24.48 | |
0.90 | 14.06 | 12.13 | 7.07 | 12.19 | 11.78 | 12.13 | 30.75 |