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. Author manuscript; available in PMC: 2020 Sep 9.
Published in final edited form as: Epidemiology. 2020 Mar;31(2):194–204. doi: 10.1097/EDE.0000000000001139

TABLE 5.

Simulation Study: Bias, MSE, and Nominal 95% NCP under High Separation Logistic Model

β0 β1 β2 α1 α2
Bias MSE NCP (%) Bias MSE NCP (%) Bias MSE NCP (%) Bias MSE NCP (%) Bias MSE NCP (%)
n = 500
Two-stage −0.010 0.027 5.0 −0.002 0.003 4.0 −0.031 0.037 4.5 0.071 0.060 6.0 0.021 0.045 5.5
Imputation −0.018 0.027 5.0 −0.002 0.003 4.5 −0.032 0.037 4.0 0.094 0.064 6.5 −0.029 0.045 4.5
EM 0.014 0.029 3.5 −0.007 0.003 4.5 −0.020 0.038 5.0 −0.036 0.068 3.5 −0.003 0.048 5.0
Bayesian 0.029 0.023 3.0 −0.005 0.003 4.5 −0.059 0.037 6.0 0.014 0.055 5.0 −0.010 0.042 5.0
n = 200
Two-stage −0.028 0.079 4.5 −0.006 0.008 3.0 −0.004 0.097 4.0 0.099 0.12 4.0 0.042 0.16 5.0
Imputation −0.034 0.079 6.0 −0.006 0.008 3.5 −0.004 0.096 4.5 0.11 0.12 4.0 0.049 0.17 4.5
EM 0.014 0.061 4.5 −0.007 0.009 7.5 −0.001 0.082 4.0 −0.021 0.061 1.0 0.015 0.074 1.0
Bayesian 0.059 0.052 4.0 −0.003 0.009 7.5 −0.106 0.084 4.5 0.018 0.078 1.0 0.029 0.091 1.5
n = 100
Two-stage 0.001 0.16 7.0 −0.003 0.016 4.5 −0.029 0.211 4.0 0.045 0.29 4.5 −0.042 0.26 2.5
Imputation −0.005 0.16 6.5 −0.002 0.016 4.5 −0.031 0.21 4.0 0.055 0.29 5.0 −0.038 0.26 2.5
EM −0.011 0.16 7.5 −0.018 0.014 3.0 0.010 0.22 4.5 −0.044 0.086 0.5 −0.004 0.061 0.5
Bayesian 0.094 0.11 3.5 −0.017 0.017 7.0 −0.15 0.18 7.5 −0.031 0.12 0.5 −0.002 0.11 0.5

MSE indicates mean square error; NCP, noncoverage probability.