Research Article
Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models
Table 4
Bias and MSE of
using Weibull, Wilcoxon, and REML methods when
ā=ā6.
.
| | REML | Weibull | Wilcoxon | Precision | N2 | N1 | Bias | MSE | Bias | MSE | Bias | MSE | Weib/REML | Weib/Wil | Wil/REML |
| 5 | 5 | 2.207 | 2.243 | 2.342 | 2.535 | 2.174 | 2.564 | 0.989 | 0.989 | 1.143 | 10 | 2.152 | 2.648 | 2.265 | 2.749 | 2.082 | 2.755 | 0.998 | 0.998 | 1.04 | 20 | 2.163 | 3.975 | 2.284 | 4.055 | 2.063 | 3.94 | 1.029 | 1.029 | 0.991 | 40 | 2.224 | 7.258 | 2.368 | 7.187 | 2.133 | 6.855 | 1.048 | 1.048 | 0.944 |
| 10 | 5 | 2.339 | 1.457 | 2.505 | 1.513 | 2.265 | 1.487 | 1.017 | 1.017 | 1.021 | 10 | 2.325 | 1.792 | 2.49 | 1.829 | 2.22 | 1.751 | 1.045 | 1.045 | 0.977 | 20 | 2.314 | 2.55 | 2.463 | 2.589 | 2.216 | 2.402 | 1.078 | 1.078 | 0.942 | 40 | 2.307 | 4.145 | 2.456 | 4.18 | 2.202 | 3.849 | 1.086 | 1.086 | 0.929 |
| 20 | 5 | 2.32 | 1.123 | 2.498 | 1.144 | 2.216 | 1.091 | 1.049 | 1.049 | 0.972 | 10 | 2.347 | 1.286 | 2.518 | 1.301 | 2.241 | 1.21 | 1.075 | 1.075 | 0.941 | 20 | 2.332 | 1.693 | 2.512 | 1.698 | 2.227 | 1.569 | 1.082 | 1.082 | 0.927 | 40 | 2.376 | 2.601 | 2.543 | 2.622 | 2.266 | 2.397 | 1.094 | 1.094 | 0.922 |
| 40 | 5 | 2.387 | 1.009 | 2.567 | 1 | 2.277 | 0.948 | 1.055 | 1.055 | 0.94 | 10 | 2.396 | 1.126 | 2.587 | 1.119 | 2.292 | 1.04 | 1.076 | 1.076 | 0.924 | 20 | 2.359 | 1.273 | 2.529 | 1.28 | 2.249 | 1.17 | 1.094 | 1.094 | 0.919 | 40 | 2.372 | 1.728 | 2.551 | 1.734 | 2.262 | 1.584 | 1.095 | 1.095 | 0.917 |
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