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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 3.

Simulation Study: Bias, MSE, and Nominal 95% NCP under High Separation Linear 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 −0.015 0.007 5.5 −0.001 0.001 4.5 −0.007 0.008 5.0 0.060 0.015 5.5 0.021 0.012 3.5
Imputation −0.020 0.007 6.5 −0.001 0.001 3.5 −0.007 0.008 5.0 0.075 0.017 7.5 −0.025 0.012 4.0
EM −0.002 0.006 7.5 −0.001 0.001 4.5 −0.007 0.008 5.0 0.014 0.013 6.5 0.007 0.012 4.5
Bayesian −0.004 0.006 5.5 −0.001 0.001 3.0 −0.001 0.008 5.0 0.012 0.012 5.0 0.002 0.012 3.5
n = 200
Two-stage −0.001 0.022 9.5 −0.002 0.002 6.5 −0.026 0.020 4.5 0.058 0.034 4.5 −0.007 0.030 4.0
Imputation −0.008 0.022 9.5 −0.002 0.002 6.5 −0.026 0.020 4.5 0.073 0.035 7.0 0.001 0.030 5.0
EM 0.021 0.016 6.0 −0.002 0.002 6.0 −0.026 0.020 4.5 0.011 0.034 6.5 −0.002 0.031 6.0
Bayesian 0.016 0.017 6.0 −0.001 0.002 6.5 −0.015 0.022 9.0 0.005 0.035 5.0 −0.005 0.030 3.0
n = 100
Two-stage −0.033 0.034 5.5 −0.001 0.004 5.0 −0.004 0.037 4.5 0.12 0.090 12 0.027 0.063 5.5
Imputation −0.038 0.036 5.5 −0.001 0.004 5.0 −0.003 0.037 5.5 0.13 0.094 12 0.031 0.064 4.0
EM −0.014 0.031 3.5 −0.001 0.004 4.5 −0.005 0.037 5.0 0.067 0.098 12 0.016 0.067 6.0
Bayesian −0.001 0.027 6.0 0.001 0.003 8.5 −0.009 0.031 5.5 −0.011 0.070 5.5 0.024 0.057 5.5

MSE indicates mean square error; NCP, noncoverage probability.