Research Article
Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models
Table 9
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 | 2.738 | 11.782 | 2.365 | 5.657 | 2.453 | 6.057 | 0.48 | 0.934 | 0.514 | 10 | 2.716 | 11.193 | 2.203 | 6.258 | 2.283 | 6.527 | 0.559 | 0.959 | 0.583 | 20 | 2.684 | 16.996 | 2.234 | 11.033 | 2.319 | 11.498 | 0.649 | 0.96 | 0.676 | 40 | 2.669 | 26.463 | 2.184 | 17.785 | 2.272 | 18.639 | 0.672 | 0.954 | 0.704 |
| 10 | 5 | 2.905 | 5.869 | 2.413 | 3.397 | 2.451 | 3.439 | 0.579 | 0.988 | 0.586 | 10 | 2.994 | 9.838 | 2.514 | 7.659 | 2.554 | 7.703 | 0.779 | 0.994 | 0.783 | 20 | 2.774 | 7.637 | 2.339 | 5.097 | 2.373 | 5.189 | 0.667 | 0.982 | 0.68 | 40 | 2.933 | 17.461 | 2.473 | 13.642 | 2.512 | 13.83 | 0.781 | 0.986 | 0.792 |
| 20 | 5 | 3.142 | 6.441 | 2.678 | 4.829 | 2.699 | 4.857 | 0.75 | 0.994 | 0.754 | 10 | 2.907 | 4.578 | 2.431 | 3.145 | 2.451 | 3.151 | 0.687 | 0.998 | 0.688 | 20 | 2.934 | 5.54 | 2.415 | 3.89 | 2.431 | 3.921 | 0.702 | 0.992 | 0.708 | 40 | 3.009 | 9.454 | 2.52 | 7.155 | 2.537 | 7.204 | 0.757 | 0.993 | 0.762 |
| 40 | 5 | 3.142 | 6.441 | 2.678 | 4.829 | 2.699 | 4.857 | 0.75 | 0.994 | 0.754 | 10 | 2.907 | 4.578 | 2.431 | 3.145 | 2.451 | 3.151 | 0.687 | 0.998 | 0.688 | 20 | 2.934 | 5.54 | 2.415 | 3.89 | 2.431 | 3.921 | 0.702 | 0.992 | 0.708 | 40 | 3.009 | 9.454 | 2.52 | 7.155 | 2.537 | 7.204 | 0.757 | 0.993 | 0.762 |
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