Research Article
Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models
Table 1
Bias and MSE of
using Weibull, Wilcoxon, and REML methods when
ā=ā3.
.
| | REML | Weibull | Wilcoxon | Precision | N2 | N1 | Bias | MSE | Bias | MSE | Bias | MSE | Weib/REML | Weib/Wil | Wil/REML |
| 5 | 5 | 2.416 | 4.867 | 2.093 | 3.866 | 2.207 | 4.622 | 0.794 | 0.836 | 0.95 | 10 | 2.406 | 5.857 | 2.059 | 4.355 | 2.156 | 5.064 | 0.744 | 0.86 | 0.865 | 20 | 2.422 | 9.241 | 2.03 | 6.884 | 2.129 | 7.78 | 0.745 | 0.885 | 0.842 | 40 | 2.37 | 15.418 | 1.978 | 11.318 | 2.071 | 12.617 | 0.734 | 0.897 | 0.818 |
| 10 | 5 | 2.541 | 3.316 | 2.179 | 2.519 | 2.238 | 2.858 | 0.76 | 0.882 | 0.862 | 10 | 2.517 | 3.953 | 2.163 | 3.018 | 2.221 | 3.318 | 0.763 | 0.91 | 0.839 | 20 | 2.552 | 5.817 | 2.199 | 4.487 | 2.252 | 4.75 | 0.771 | 0.945 | 0.817 | 40 | 2.57 | 9.88 | 2.209 | 7.672 | 2.258 | 8.038 | 0.777 | 0.954 | 0.814 |
| 20 | 5 | 2.623 | 2.681 | 2.286 | 2.075 | 2.321 | 2.236 | 0.774 | 0.928 | 0.834 | 10 | 2.565 | 2.899 | 2.211 | 2.274 | 2.253 | 2.366 | 0.785 | 0.961 | 0.816 | 20 | 2.597 | 3.975 | 2.258 | 3.13 | 2.283 | 3.233 | 0.787 | 0.968 | 0.813 | 40 | 2.601 | 5.847 | 2.261 | 4.578 | 2.283 | 4.699 | 0.783 | 0.974 | 0.804 |
| 40 | 5 | 2.607 | 2.263 | 2.267 | 1.769 | 2.291 | 1.839 | 0.782 | 0.962 | 0.813 | 10 | 2.687 | 2.65 | 2.358 | 2.096 | 2.372 | 2.15 | 0.791 | 0.975 | 0.811 | 20 | 2.594 | 2.906 | 2.265 | 2.287 | 2.28 | 2.327 | 0.787 | 0.983 | 0.801 | 40 | 2.644 | 4.034 | 2.313 | 3.211 | 2.33 | 3.241 | 0.796 | 0.991 | 0.804 |
|
|