Table 3.
π0 | ρ | m | n | Proposed | Gilbert | Tarone |
---|---|---|---|---|---|---|
0.1 | 0.2 | 10 | 100 | 0.49 | 0.67 | 0.72 |
0.2 | 20 | 100 | 0.44 | 0.44 | 0.46 | |
0.2 | 10 | 1000 | 1.16 | 1.95 | 2.02 | |
0.2 | 20 | 1000 | 0.51 | 0.63 | 0.65 | |
0.2 | 10 | 10000 | 1.5 | 4.86 | 4.97 | |
0.2 | 20 | 10000 | 0.80 | 1.79 | 1.99 | |
0.5 | 10 | 100 | 0.48 | 0.86 | 0.87 | |
0.5 | 20 | 100 | 0.45 | 0.69 | 0.74 | |
0.5 | 10 | 1000 | 1.35 | 4.69 | 6.00 | |
0.5 | 20 | 1000 | 2.02 | 8.42 | 9.47 | |
0.5 | 10 | 10000 | 5.68 | 53 | 60.5 | |
0.5 | 20 | 10000 | 3.39 | 54.0 | 62.58 | |
0.3 | 0.2 | 10 | 100 | 0.50 | 0.57 | 0.60 |
0.2 | 20 | 100 | 0.33 | 0.37 | 0.39 | |
0.2 | 10 | 1000 | 0.80 | 1.27 | 1.32 | |
0.2 | 20 | 1000 | 0.55 | 0.92 | 0.92 | |
0.2 | 10 | 10000 | 1.62 | 4.54 | 3.70 | |
0.2 | 20 | 10000 | 0.86 | 1.65 | 1.69 | |
0.5 | 10 | 100 | 0.73 | 1.8 | 4.1 | |
0.5 | 20 | 100 | 0.73 | 1.46 | 1.51 | |
0.5 | 10 | 1000 | 4.3 | 12.95 | 13.89 | |
0.5 | 20 | 1000 | 2.03 | 11.71 | 15.09 | |
0.5 | 10 | 10000 | 4.98 | 88.8 | 103.76 | |
0.5 | 20 | 10000 | 9.5 | 100.2 | 146.73 |
Note: π0 proportion of true null hypotheses. The number of hypotheses being tested is n, while there are m subjects per group. Proposed represents the procedure outlined in Section 4.1; Gilbert represents the method of Gilbert (2005); Tarone represents the method of Tarone (1990).