Table 1.
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 2000 cases and 2000 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 | |||||||||
| 0.5 | 1.65 | 0.09 | 0.11 | 0.10 | 0.08 | 0.06 | 0.04 | 0.02 | 0.00 |
| 0.6 | 1.82 | 0.37 | 0.44 | 0.40 | 0.32 | 0.26 | 0.19 | 0.12 | 0.02 |
| 0.7 | 2.01 | 0.75 | 0.80 | 0.75 | 0.66 | 0.56 | 0.47 | 0.35 | 0.10 |
| 0.8 | 2.23 | 0.95 | 0.96 | 0.94 | 0.88 | 0.82 | 0.75 | 0.64 | 0.31 |
| 0.9 | 2.46 | 0.99 | 0.99 | 0.99 | 0.97 | 0.95 | 0.92 | 0.87 | 0.60 |
| 1.0 | 2.72 | 1.00 | 1.00 | 1.00 | 1.00 | 0.99 | 0.98 | 0.97 | 0.84 |
| P(SNP > 0) = 0.2 ⇒ minor allele frequency 0.106 | |||||||||
| 1.0 | 2.72 | 0.09 | 0.24 | 0.29 | 0.34 | 0.35 | 0.34 | 0.29 | 0.09 |
| 1.1 | 3.00 | 0.21 | 0.45 | 0.52 | 0.58 | 0.59 | 0.58 | 0.51 | 0.21 |
| 1.2 | 3.32 | 0.39 | 0.66 | 0.73 | 0.79 | 0.80 | 0.78 | 0.72 | 0.38 |
| 1.3 | 3.67 | 0.60 | 0.83 | 0.88 | 0.91 | 0.92 | 0.91 | 0.87 | 0.58 |
| 1.4 | 4.06 | 0.78 | 0.93 | 0.95 | 0.97 | 0.98 | 0.97 | 0.95 | 0.76 |