TABLE 3.
List-wise Deletion |
Full MI with MICE |
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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 |
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 | |
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 | |
−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 |
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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 |
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 | |
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 | |
−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 |
, where H = total number of Monte Carlo replications, = estimate of θ from the hth Monte Carlo replications, true θ = true value of a parameter; ; SD = standard deviation of 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.