Genotype-Based Bayesian Analysis of Gene-Environment Interactions with Multiple Genetic Markers and Misclassification in Environmental Factors

Table 3

Biases and root mean squared errors (RMSEs) of risk parameters obtained based on asymptotic posterior distribution. The results are based on 500 samples of 1,500 cases and 1,500 controls. Genotype is simulated at the two marker loci with 𝑃_𝑀𝑖=0.25, 𝑖=1,2. The environmental covariate (𝑋) is binary and measured with error with misclassification probabilities being 0.20 for exposed and 0.25 for nonexposed subjects. The data is simulated and analyzed under the additive effect model and the LD measure Δ_𝑀1𝑀2=0.03.

Parameter	True value	Bias	Estimated SE	SE
β X	0.693	0.010	0.032	0.039
β A1	0.406	−0.005	0.012	0.015
β A2	0.789	−0.004	0.011	0.014
β A3	0.693	−0.004	0.016	0.016
β AX1	0.916	0.023	0.045	0.044
β AX2	0.693	0.019	0.061	0.058
β AX3	1.099	0.020	0.052	0.054
β D1	0.262	0.016	0.431	0.410
β D2	0.095	0.009	0.052	0.063
β D3	0.693	0.013	0.099	0.100
β DX1	1.099	0.011	0.013	0.015
β DX2	0.916	0.013	0.025	0.027
β DX3	1.099	0.016	0.027	0.030