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. Author manuscript; available in PMC: 2011 Sep 22.
Published in final edited form as: Stat Interface. 2011;4(3):305–316. doi: 10.4310/sii.2011.v4.n3.a5

Table 1.

Biases and Root Mean Squared Errors (RMSEs) for the proposed Bayesian and Pseudo-MLE approaches in a genotype-based case-control study. Genetic (G) and environmental (X) factors are binary with pr(G = 1) = 0.5 and pr(X = 1) = 0.5. pr(D = 1) = 0.016 is assumed to be known in the underlying population. Misclassification probabilities are pr(W = 1|X = 0) = 0.15 and pr(W = 0|X = 1) = 0.10. The results is based on 500 replications of n1 cases and n0 controls

Proposed Bayesian Analysis Pseudo-MLE

Parameter True Value Bias RMSE Bias RMSE
n0 = 200 βx 1.099 −0.007 0.229 0.023 0.339
n1 = 200 βg 0.693 −0.075 0.336 −0.195 1.023
βxg 0.693 0.103 0.461 0.217 1.064
θ 0.500 −0.002 0.002 −0.001 0.021
η 0.500 −0.005 0.003 0.001 0.048

n0 = 1, 000 βx 1.099 −0.003 0.095 0.005 0.155
n1 = 1, 000 βg 0.693 −0.021 0.162 −0.004 0.305
βxg 0.693 0.029 0.206 0.001 0.327
θ 0.500 −0.001 0.001 0.000 0.008
η 0.500 −0.001 0.001 0.002 0.022