Journal of Probability and Statistics / 2012 / Article / Tab 3

Research Article

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 5 0 0 samples of 1,500 cases and 1,500 controls. Genotype is simulated at the two marker loci with 𝑃 𝑀 𝑖 = 0 . 2 5 , 𝑖 = 1 , 2 . The environmental covariate ( 𝑋 ) is binary and measured with error with misclassification probabilities being 0 . 2 0 for exposed and 0 . 2 5 for nonexposed subjects. The data is simulated and analyzed under the additive effect model and the LD measure Δ 𝑀 1 𝑀 2 = 0 . 0 3 .

ParameterTrue value Bias Estimated SE SE

β X0.6930.0100.0320.039
β A10.406−0.0050.0120.015
β A20.789−0.0040.0110.014
β A30.693−0.0040.0160.016
β AX10.9160.0230.0450.044
β AX20.6930.0190.0610.058
β AX31.0990.0200.0520.054
β D10.2620.0160.4310.410
β D20.0950.0090.0520.063
β D30.6930.0130.0990.100
β DX11.0990.0110.0130.015
β DX20.9160.0130.0250.027
β DX31.0990.0160.0270.030

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