Table 3.
Performance of the proposed method in contrast to the fully parametric method under the irrelevant design condition (true model italicized).
Actual Parameters |
Performance Criteria |
MAR_X | MAR_X,W | ||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Standard Parametric MI | Semi-Parametric MI | Standard Parametric MI | Semi-Parametric MI | ||||||||||||||||||
X | X, logZ | X*logZ | X,W | X*W | X | X, logZ | X*logZ | X,W | X*W | X | X, logZ | X*logZ | X,W | X*W | X | X, logZ | X*logZ | X,W | X*W | ||
Mean=−0.0191 | Bias | −0.025 | −0.034 | −0.037 | 0.004 | −0.006 | −0.000 | −0.000 | 0.002 | .001 | −.006 | −0.006 | −0.025 | −0.026 | 0.007 | −0.001 | 0.007 | 0.006 | 0.004 | .009 | .003 |
MeanEst.Var | 0.020 | 0.020 | 0.021 | 0.025 | 0.032 | 0.018 | 0.019 | 0.020 | .025 | .034 | 0.024 | 0.029 | 0.029 | 0.021 | 0.027 | 0.015 | 0.016 | 0.016 | .023 | .030 | |
Emp.Var | 0.014 | 0.019 | 0.018 | 0.023 | 0.026 | 0.018 | 0.018 | 0.019 | .021 | .024 | 0.013 | 0.021 | 0.022 | 0.019 | 0.022 | 0.015 | 0.016 | 0.016 | .019 | .022 | |
RMSE | 0.122 | 0.141 | 0.140 | 0.154 | 0.168 | 0.133 | 0.134 | 0.136 | .146 | .155 | 0.114 | 0.147 | 0.151 | 0.143 | 0.154 | 0.121 | 0.127 | 0.128 | .137 | .148 | |
95%Cov | 97% | 94% | 93% | 96% | 94% | 94% | 95% | 96% | 94% | 95% | 97% | 94% | 95% | 95% | 94% | 95% | 95% | 95% | 95% | 95% | |
Intercept=−0.0569 | Bias | −0.102 | −0.109 | −0.113 | 0.003 | −0.003 | −0.003 | −0.003 | −0.004 | .001 | −.002 | −0.001 | −0.021 | −0.023 | 0.006 | 0.001 | 0.007 | 0.005 | 0.004 | .008 | .003 |
MeanEst.Var | 0.019 | 0.019 | 0.020 | 0.023 | 0.026 | 0.017 | 0.018 | 0.019 | .023 | .028 | 0.022 | 0.027 | 0.025 | 0.020 | 0.023 | 0.015 | 0.016 | 0.016 | .022 | .026 | |
Emp.Var | 0.014 | 0.018 | 0.018 | 0.022 | 0.024 | 0.018 | 0.018 | 0.018 | .020 | .021 | 0.012 | 0.023 | 0.024 | 0.020 | 0.021 | 0.015 | 0.016 | 0.016 | .019 | .021 | |
RMSE | 0.157 | 0.174 | 0.174 | 0.185 | 0.193 | 0.132 | 0.132 | 0.133 | .140 | .145 | 0.110 | 0.152 | 0.157 | 0.176 | 0.185 | 0.121 | 0.126 | 0.127 | .136 | .143 | |
95% Cov | 88% | 85% | 86% | 86% | 85% | 95% | 95% | 95% | 94% | 95% | 98% | 95% | 97% | 93% | 94% | 94% | 95% | 94% | 95% | 96% | |
Slope=0.222 | Bias | 0.006 | 0.003 | 0.003 | 0.005 | −0.012 | 0.008 | 0.008 | 0.006 | .001 | −.008 | −0.023 | −0.022 | −0.008 | 0.004 | −0.014 | 0.000 | −0.000 | −0.003 | .002 | −.010 |
MeanEst.Var | 0.017 | 0.017 | 0.019 | 0.019 | 0.030 | 0.017 | 0.017 | 0.019 | .019 | .033 | 0.023 | 0.020 | 0.025 | 0.016 | 0.026 | 0.013 | 0.013 | 0.015 | .015 | .028 | |
Emp.Var | 0.014 | 0.014 | 0.017 | 0.014 | 0.027 | 0.018 | 0.017 | 0.019 | .017 | .024 | 0.011 | 0.014 | 0.025 | 0.013 | 0.025 | 0.013 | 0.013 | 0.015 | .014 | .021 | |
RMSE | 0.118 | 0.119 | 0.132 | 0.119 | 0.164 | 0.133 | 0.131 | 0.136 | .128 | .154 | 0.108 | 0.120 | 0.158 | 0.113 | 0.157 | 0.115 | 0.115 | 0.121 | .116 | .143 | |
95% Cov | 95% | 95% | 94% | 97% | 95% | 94% | 95% | 95% | 94% | 95% | 98% | 98% | 92% | 96% | 95% | 93% | 94% | 94% | 94% | 95% |