Research Article
Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models
Table 3
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 | 2.148 | 2.953 | 1.995 | 2.85 | 2.059 | 3.111 | 0.965 | 1.054 | 0.916 | 10 | 2.131 | 4.054 | 1.977 | 3.726 | 2.043 | 4.014 | 0.919 | 0.99 | 0.928 | 20 | 2.156 | 6.656 | 1.998 | 5.937 | 2.063 | 6.379 | 0.892 | 0.958 | 0.931 | 40 | 2.137 | 11.59 | 1.978 | 10.036 | 2.041 | 10.85 | 0.866 | 0.936 | 0.925 |
| 10 | 5 | 2.23 | 2.162 | 2.097 | 2.003 | 2.136 | 2.12 | 0.927 | 0.981 | 0.945 | 10 | 2.254 | 2.85 | 2.113 | 2.579 | 2.147 | 2.69 | 0.905 | 0.944 | 0.959 | 20 | 2.264 | 4.181 | 2.124 | 3.758 | 2.161 | 3.89 | 0.899 | 0.93 | 0.966 | 40 | 2.27 | 7.027 | 2.127 | 6.268 | 2.163 | 6.483 | 0.892 | 0.922 | 0.967 |
| 20 | 5 | 2.313 | 1.824 | 2.18 | 1.673 | 2.207 | 1.725 | 0.917 | 0.946 | 0.97 | 10 | 2.315 | 2.211 | 2.183 | 2.014 | 2.203 | 2.054 | 0.911 | 0.929 | 0.98 | 20 | 2.309 | 2.892 | 2.181 | 2.612 | 2.199 | 2.654 | 0.903 | 0.918 | 0.984 | 40 | 2.304 | 4.302 | 2.176 | 3.873 | 2.193 | 3.939 | 0.9 | 0.916 | 0.983 |
| 40 | 5 | 2.316 | 1.642 | 2.202 | 1.488 | 2.209 | 1.523 | 0.907 | 0.927 | 0.978 | 10 | 2.325 | 1.835 | 2.201 | 1.678 | 2.213 | 1.693 | 0.914 | 0.922 | 0.991 | 20 | 2.289 | 2.1 | 2.175 | 1.896 | 2.181 | 1.916 | 0.903 | 0.913 | 0.989 | 40 | 2.325 | 2.907 | 2.206 | 2.632 | 2.214 | 2.657 | 0.905 | 0.914 | 0.991 |
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