From: The impact of imprecisely measured covariates on estimating gene-environment interactions
Coefficient for true effect of interaction (β _{3}) | Ratio for true effect of interaction (β _{3} + β _{2})/β _{2} | Probability of rejecting H_{0} for test of interaction | ||||
---|---|---|---|---|---|---|
σ _{u} ^{2} = 0 | σ _{u} ^{2} = 1 | σ _{u} ^{2} = 2 | σ _{u} ^{2} = 4 | σ _{u} ^{2} = 9 | ||
0.0 | 1.0 | 5% | 5% | 5% | 5% | 5% |
0.5 | 1.5 | 87% | 54% | 38% | 26% | 16% |
1.0 | 2.0 | 100% | 97% | 87% | 67% | 41% |
2.0 | 3.0 | 100% | 100% | 100% | 98% | 82% |