Journal of Probability and Statistics / 2012 / Article / Tab 2

Research Article

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

Table 2

Biases and root mean squared errors (RMSEs) of risk parameters obtained based on pseudo-MLE and the proposed MCMC. The results are based on 5 0 0 samples of 3 5 0 cases and 3 5 0 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 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 valuePseudo-MLEMCMC
BiasRMSEBiasRMSE

β X1.0990.0350.3920.0130.236
β A10.406−0.2681.035−0.0790.397
β A20.789−0.3191.062−0.0850.372
β A30.693−0.2931.043−0.0920.365
β AX10.9160.4321.1350.1030.432
β AX20.6930.3911.0470.0850.481
β AX31.0990.2931.1130.0970.427

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