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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%
  1. True values of coefficients β 1 = 1 (binary genotype), β 2 = 1 (continuous exposure), β 3 (interaction term) given in first column. No confounding present, β 4 = 0. Simulations based on 10,000 simulations of 1000 observations.