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. Author manuscript; available in PMC: 2019 Jul 12.
Published in final edited form as: Struct Equ Modeling. 2018 Feb 8;25(5):715–736. doi: 10.1080/10705511.2017.1417046

TABLE 3.

Summary Statistics of NMAR Condition Across 500 MC Replications (N = 100; T = 75)

List-wise Deletion
Full MI with MICE
Parameter Bias RMSE SD DSE DSEfull Power Coverage Bias RMSE SD DSE DSEfull Power Coverage
aw→w −0.107 0.108 0.016 −0.000 0.007 1.000 0.000 −0.093 0.094 0.011 0.002 0.004 1.000 0.000
bh→w 0.165 0.166 0.017 0.001 0.007 1.000 0.000 0.128 0.129 0.012 0.003 0.005 1.000 0.000
bw→h 0.120 0.121 0.015 0.000 0.006 0.996 0.000 0.093 0.093 0.011 0.002 0.004 1.000 0.000
ah→h 0.073 0.075 0.017 −0.001 0.007 1.000 0.012 −0.071 0.072 0.011 0.002 0.004 1.000 0.000
cca→w 0.186 0.189 0.034 −0.000 0.017 1.000 0.000 0.105 0.108 0.028 −0.002 0.009 1.000 0.038
dcn→w 0.076 0.079 0.021 0.000 0.010 1.000 0.050 0.117 0.118 0.017 0.001 0.007 1.000 0.000
cca→h 0.174 0.177 0.033 −0.001 0.015 1.000 0.000 0.121 0.123 0.025 −0.001 0.007 1.000 0.002
dcn→h 0.055 0.059 0.021 −0.001 0.009 1.000 0.236 0.103 0.104 0.018 −0.000 0.007 1.000 0.000
σew2 0.153 0.156 0.029 0.001 0.014 1.000 0.000 0.138 0.140 0.024 0.000 0.009 1.000 0.000
σeh2 0.051 0.058 0.028 −0.001 0.011 1.000 0.538 0.046 0.051 0.022 −0.000 0.006 1.000 0.452
σewh −0.147 0.149 0.022 −0.002 0.008 0.990 0.000 −0.086 0.088 0.020 −0.001 0.007 0.390 0.012

Full MI with Amelia II
Partial MI with MICE
Parameter Bias RMSE SD DSE DSEfull Power Coverage Bias RMSE SD DSE DSEfull Power Coverage

aw→w −0.094 0.094 0.011 0.002 0.004 1.000 0.000 0.013 0.018 0.013 −0.000 0.003 1.000 0.816
bh→w 0.133 0.133 0.012 0.003 0.004 1.000 0.000 0.048 0.050 0.014 0.000 0.004 1.000 0.092
bw→h 0.091 0.092 0.011 0.002 0.003 1.000 0.000 0.040 0.042 0.013 −0.000 0.004 1.000 0.116
ah→h −0.065 0.066 0.011 0.003 0.004 1.000 0.002 0.016 0.021 0.014 0.000 0.004 1.000 0.756
cca→w 0.195 0.196 0.024 −0.000 0.006 1.000 0.000 0.095 0.098 0.025 −0.001 0.007 1.000 0.032
dcn→w 0.130 0.131 0.016 0.000 0.005 1.000 0.000 0.104 0.105 0.016 0.001 0.006 1.000 0.000
cca→h 0.188 0.190 0.022 0.000 0.006 1.000 0.000 0.110 0.113 0.024 −0.000 0.006 1.000 0.000
dcn→h 0.116 0.117 0.016 −0.000 0.004 1.000 0.000 0.093 0.094 0.017 −0.000 0.006 1.000 0.000
σew2 0.145 0.147 0.023 0.002 0.009 1.000 0.000 −0.005 0.021 0.020 0.001 0.006 1.000 0.956
σeh2 0.054 0.058 0.022 0.000 0.006 1.000 0.340 −0.022 0.030 0.021 0.000 0.005 1.000 0.804
σewh −0.077 0.080 0.019 −0.001 0.006 0.240 0.026 0.009 0.020 0.018 −0.001 0.005 0.800 0.918

Bias=1HhH(θh^trueθ), where H = total number of Monte Carlo replications, θh^ = estimate of θ from the hth Monte Carlo replications, true θ = true value of a parameter; RMSE=1Hh=1H(θh^trueθ)2; SD = standard deviation of θ^ across Monte Carlo runs; DSE = deviance of average standard error estimate across Monte Carlo runs from SD; DSEfull = difference between average standard error estimate with missing data under each method and average standard error estimate with full data; Power/type I error = 1 – the proportion of 95% confidence intervals (CIs) that contain 0 across the Monte Carlo replications; Coverage = the proportion of 95% confidence intervals (CIs) that contain true θ across the Monte Carlo replications.