Table 5.
Standard deviation of total discoveries across six DNA methylation differentially analysis methods using M values for independent case
| 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 | 0.33 | 0 | 0 | 0.80 | 0.82 | 0.85 |
| 0.05 | 0 | 0.92 | 0 | 0 | 4.66 | 2.64 | 2.95 | |
| 0.10 | 0 | 1.84 | 0 | 0 | 7.57 | 5.55 | 6.60 | |
| 0.25 | 0 | 6.64 | 0 | 0 | 10.79 | 12.82 | 15.70 | |
| 0.50 | 0 | 18.85 | 0 | 0 | 13.92 | 18.93 | 26.01 | |
| 0.75 | 0 | 27.87 | 0 | 0 | 15.81 | 21.28 | 38.30 | |
| 0.90 | 0 | 29.67 | 0 | 0 | 15.80 | 21.35 | 43.19 | |
| 6 | 0.01 | 0.00 | 1.70 | 0.00 | 0.00 | 1.41 | 1.94 | 1.95 |
| 0.05 | 0.00 | 4.61 | 0.00 | 0.00 | 3.19 | 4.20 | 4.26 | |
| 0.10 | 4.44 | 5.83 | 4.44 | 4.44 | 4.36 | 5.34 | 5.51 | |
| 0.25 | 12.17 | 8.01 | 7.04 | 8.71 | 6.60 | 7.46 | 8.47 | |
| 0.50 | 9.47 | 9.98 | 9.73 | 9.70 | 8.08 | 8.92 | 12.08 | |
| 0.75 | 9.90 | 10.02 | 8.55 | 10.46 | 8.23 | 9.28 | 18.02 | |
| 0.90 | 10.73 | 9.97 | 9.10 | 9.23 | 7.90 | 9.27 | 23.71 | |
| 12 | 0.01 | 1.41 | 1.18 | 1.02 | 0.00 | 1.13 | 1.22 | 1.23 |
| 0.05 | 3.01 | 2.36 | 2.14 | 2.35 | 2.39 | 2.45 | 2.51 | |
| 0.10 | 3.32 | 3.24 | 2.66 | 3.83 | 3.24 | 3.25 | 3.42 | |
| 0.25 | 5.26 | 4.36 | 3.65 | 4.26 | 4.58 | 4.40 | 5.20 | |
| 0.50 | 5.16 | 5.01 | 4.28 | 5.23 | 5.12 | 4.99 | 8.04 | |
| 0.75 | 5.07 | 4.80 | 3.83 | 4.88 | 4.75 | 4.74 | 12.59 | |
| 0.90 | 5.51 | 4.33 | 3.46 | 4.22 | 3.96 | 4.27 | 18.66 | |
| 24 | 0.01 | 0.96 | 0.87 | 0.71 | 0.00 | 0.96 | 0.91 | 0.92 |
| 0.05 | 1.86 | 1.72 | 1.23 | 1.63 | 1.82 | 1.75 | 1.84 | |
| 0.10 | 2.42 | 2.36 | 1.99 | 2.35 | 2.46 | 2.43 | 2.71 | |
| 0.25 | 3.21 | 3.18 | 2.92 | 3.50 | 3.40 | 3.22 | 4.09 | |
| 0.50 | 3.89 | 3.67 | 2.38 | 3.79 | 4.11 | 3.71 | 7.08 | |
| 0.75 | 2.99 | 3.04 | 2.57 | 3.14 | 3.37 | 3.07 | 11.45 | |
| 0.90 | 2.25 | 2.30 | 1.77 | 2.36 | 2.59 | 2.30 | 18.40 | |