Research Article
Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models
Table 15
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 | 2.157 | 2.376 | 0.23 | 0.287 | 2.167 | 2.613 | 1.1 | 0.979 | 1.124 | 10 | 2.143 | 3.579 | 0.242 | 0.432 | 2.138 | 3.753 | 1.049 | 0.955 | 1.098 | 20 | 2.148 | 5.87 | 0.22 | 0.675 | 2.151 | 5.995 | 1.021 | 0.944 | 1.082 | 40 | 2.14 | 10.554 | 0.238 | 1.231 | 2.135 | 10.641 | 1.008 | 0.936 | 1.077 |
| 10 | 5 | 2.267 | 2 | 0.095 | 0.151 | 2.28 | 2.113 | 1.057 | 1.001 | 1.056 | 10 | 2.268 | 2.621 | 0.104 | 0.19 | 2.291 | 2.723 | 1.039 | 0.991 | 1.048 | 20 | 2.25 | 3.839 | 0.111 | 0.259 | 2.267 | 3.973 | 1.035 | 0.988 | 1.048 | 40 | 2.264 | 6.512 | 0.096 | 0.422 | 2.284 | 6.686 | 1.027 | 0.985 | 1.042 |
| 20 | 5 | 2.322 | 1.707 | 0.064 | 0.106 | 2.328 | 1.767 | 1.035 | 1.006 | 1.029 | 10 | 2.326 | 2.063 | 0.049 | 0.113 | 2.341 | 2.104 | 1.02 | 0.994 | 1.026 | 20 | 2.325 | 2.747 | 0.045 | 0.146 | 2.34 | 2.801 | 1.02 | 0.994 | 1.025 | 40 | 2.333 | 4.14 | 0.047 | 0.213 | 2.351 | 4.206 | 1.016 | 0.993 | 1.023 |
| 40 | 5 | 2.342 | 1.566 | 0.007 | 0.088 | 2.359 | 1.584 | 1.011 | 0.996 | 1.015 | 10 | 2.339 | 1.728 | 0.031 | 0.1 | 2.35 | 1.752 | 1.014 | 0.999 | 1.015 | 20 | 2.333 | 2.07 | 0.022 | 0.099 | 2.341 | 2.102 | 1.015 | 1 | 1.015 | 40 | 2.353 | 2.803 | 0.034 | 0.139 | 2.363 | 2.834 | 1.011 | 0.997 | 1.014 |
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