Table 3 The effect of measurement error in an exposure on the probability of rejecting the null hypothesis (H0) for the test for statistical interaction.
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 H0 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% |