Research Article

Development of New Robust Optimal Score Function for the Weibull Distributed Error Term in Multilevel Models

Table 12

Bias and MSE of using Weibull, Wilcoxon, and REML methods when ā€‰=ā€‰6..

REMLWeibullWilcoxonPrecision
N2N1BiasMSEBiasMSEBiasMSEWeib/REMLWeib/WilWil/REML

552.640.4851.0922.3862.981.1252.321.8411.26
102.4092.2910.9962.9762.9442.7551.2031.5880.757
201.6631.8570.090.0411.8982.2721.2231.1060.581
402.79611.0790.3831.3192.71511.8221.0671.1020.968

1051.2261.6950.2640.1051.5741.6440.970.7561.283
102.372.0850.2180.0952.951.9970.9581.3070.733
202.7365.702-0.2220.1482.7655.7821.0141.011.004
402.4244.440.5281.3932.7424.4170.9951.010.985

2052.0840.287-1.0041.2592.4170.3141.0941.6880.648
105.0865.119-0.6820.6984.9145.1421.0040.9931.011
202.6361.7120.2980.1773.0221.7311.0111.230.822
402.1222.0220.8662.2512.3752.11.0391.0560.984

4052.3351.7041.3291.9883.111.270.7450.9380.795
102.6771.154-0.7070.6252.3411.1160.9671.2860.752
201.4260.521-0.5110.3921.540.5691.0921.2080.904
401.690.8580.320.2051.8920.9271.081.2630.855