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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 4.

Simulation Study: Bias, MSE, and Nominal 95% NCP under Low 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 0.038 0.012 9.0 0.000 0.001 5.5 −0.001 0.008 3.0 0.015 0.018 10 −0.13 0.047 20
Imputation 0.039 0.011 9.0 0.000 0.001 5.0 −0.001 0.008 4.0 0.019 0.018 10 −0.16 0.052 27
EM 0.016 0.010 8.0 0.000 0.001 5.0 0.000 0.008 3.5 0.016 0.022 15 −0.067 0.042 16
Bayesian 0.002 0.008 2.0 0.001 0.001 2.0 0.000 0.007 1.0 0.013 0.017 8.0 0.003 0.018 4.0
n = 200
Two-stage 0.069 0.038 14 0.005 0.002 6.0 0.003 0.019 4.0 −0.003 0.055 11 −0.24 0.15 25
Imputation 0.065 0.036 13 0.005 0.002 6.0 0.003 0.019 5.0 0.001 0.055 11 −0.24 0.15 26
EM 0.036 0.041 16 0.005 0.002 5.0 0.004 0.020 4.5 0.011 0.074 17 −0.19 0.16 28
Bayesian 0.006 0.023 7.5 0.006 0.002 6.5 0.001 0.019 4.5 0.021 0.048 6.0 −0.038 0.067 7.0
n = 100
Two-stage 0.087 0.068 10 0.000 0.004 6.0 0.001 0.043 6.0 0.062 0.13 14 −0.35 0.26 34
Imputation 0.094 0.072 12 0.001 0.004 6.0 0.001 0.043 6.0 0.058 0.13 14 −0.37 0.29 34
EM 0.075 0.084 14 0.000 0.004 6.0 −0.001 0.047 7.0 0.057 0.14 18 −0.30 0.27 28
Bayesian 0.033 0.075 11 0.008 0.004 5.5 0.011 0.045 7.0 0.060 0.16 16 −0.16 0.24 14

MSE indicates mean square error; NCP, noncoverage probability.