Table 2.
Power of identifying a specific interaction, associated with the parameter β3 in model (7) where both involved SNPs have at least one variant allele for 40% or 20% of the samples (corresponding to a minor allele frequency of 0.225 and 0.106, respectively) for a case-control study with 5000 cases and 5000 controls, measuring 500,000 SNPs, for a variety of two-stage procedures, allowing 3 false positives.
| β3 | Odds ratio | First stage significance level α1 | |||||||
|---|---|---|---|---|---|---|---|---|---|
| 0.0001 | 0.001 | 0.002 | 0.005 | 0.01 | 0.02 | 0.05 | 1 | ||
| P(SNP > 0) = 0.4 ⇒ minor allele frequency 0.225 | |||||||||
| 0.4 | 1.49 | 0.41 | 0.52 | 0.49 | 0.41 | 0.34 | 0.27 | 0.18 | 0.03 |
| 0.5 | 1.65 | 0.89 | 0.94 | 0.92 | 0.87 | 0.81 | 0.74 | 0.62 | 0.27 |
| 0.6 | 1.82 | 0.99 | 1.00 | 1.00 | 0.99 | 0.98 | 0.97 | 0.94 | 0.72 |
| 0.7 | 2.01 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.96 |
| P(SNP > 0) = 0.2 ⇒ minor allele frequency 0.106 | |||||||||
| 0.6 | 1.82 | 0.02 | 0.09 | 0.12 | 0.15 | 0.17 | 0.18 | 0.16 | 0.05 |
| 0.7 | 2.01 | 0.11 | 0.30 | 0.38 | 0.46 | 0.50 | 0.51 | 0.49 | 0.21 |
| 0.8 | 2.23 | 0.32 | 0.60 | 0.68 | 0.77 | 0.82 | 0.83 | 0.81 | 0.52 |
| 0.9 | 2.46 | 0.61 | 0.84 | 0.89 | 0.94 | 0.96 | 0.97 | 0.96 | 0.82 |
| 1.0 | 2.72 | 0.85 | 0.96 | 0.97 | 0.99 | 0.99 | 1.00 | 1.00 | 0.96 |