Table 3:
The empirical FDR and the empirical power for the simultaneous testing procedures, Algorithms 1 and 2. The results are in percentages based on 100 data replications. The significance level is α = 5%. The network structure is Bernoulli mixture and transformed Wishart.
| p = 100 | p = 200 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| n1 = n2 = 100 | n1 = n2 = 25 | n1 = n2 = 100 | n1 = n2 = 25 | |||||||||
| Network structure | 0.2q | 0.15q | 0.1q | 0.2q | 0.15q | 0.1q | 0.2q | 0.15q | 0.1q | 0.2q | 0.l5q | 0.1q |
| Bernoulli mixture | Empirical FDR | |||||||||||
| Algorithm 1 | 4.0 | 4.4 | 4.8 | 6.1 | 6.0 | 7.4 | 4.0 | 4.4 | 4.8 | 6.0 | 5.8 | 7.5 |
| Algorithm 2 | 1.4 | 1.7 | 2.0 | 3.2 | 4.2 | 5.0 | 1.3 | 1.5 | 1.7 | 2.9 | 4.3 | 4.5 |
| Empirical power | ||||||||||||
| Algorithm 1 | 88.3 | 87.2 | 85.6 | 41.8 | 40.8 | 41.1 | 88.2 | 87.1 | 85.7 | 41.6 | 40.7 | 41.2 |
| Algorithm 2 | 93.8 | 93.6 | 93.6 | 54.2 | 54.3 | 54.1 | 93.5 | 93.6 | 93.5 | 53.9 | 54.2 | 54.1 |
| Transformed Wishart | Empirical FDR | |||||||||||
| Algorithm 1 | 4.2 | 4.6 | 5.1 | 5.0 | 5.6 | 6.6 | 4.2 | 4.6 | 4.9 | 4.9 | 5.3 | 5.9 |
| Algorithm 2 | 1.6 | 1.8 | 2.0 | 2.4 | 2.8 | 3.7 | 1.6 | 1.9 | 2.0 | 1.8 | 2.1 | 2.6 |
| Empirical power | ||||||||||||
| Algorithm 1 | 63.5 | 65.9 | 69.6 | 44.1 | 46.8 | 50.6 | 52.6 | 55.7 | 60.4 | 37.5 | 40.2 | 43.1 |
| Algorithm 2 | 70.9 | 73.8 | 78.4 | 50.3 | 54.5 | 59.9 | 59.8 | 63.9 | 69.9 | 41.4 | 45.2 | 50.0 |