Table 8.
Comparison of empirical and theoretical average power for the Benjamini and Hochberg (1995) procedure. Results are for three independent general linear multivariate models. Each hypothesis is tested with the Hotelling-Lawley trace. The sample size for each experiment is N ∈ {30, 90, 150}. The difference between treatment group means under the alternative is δ ∈ {0.2, 0.5 and 0.8}.
δ | N | Empirical Average Power |
Theoretical Average Power |
Absolute Difference |
---|---|---|---|---|
0.2 | 30 | 0.054 | 0.045 | 0.009 |
90 | 0.158 | 0.156 | 0.002 | |
150 | 0.323 | 0.316 | 0.007 | |
0.5 | 30 | 0.376 | 0.348 | 0.028 |
90 | 0.954 | 0.953 | 0.001 | |
150 | 0.999 | 0.999 | 0.000 | |
0.8 | 30 | 0.875 | 0.864 | 0.011 |
90 | 1.000 | 1.000 | 0.000 | |
150 | 1.000 | 1.000 | 0.000 |