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

Table 17

Summary of fixed effects estimates by REML, Weibull, and Wilcoxon score function.

	Rank-based (Weibull)			Rank-based (Wilcoxon)			REML
Effects	Estimates	SE	-value	Estimates	SE	-value	Estimates	SE	-value
Constant	644.063	17.344	≤ 0.001	641.581	16.193	≤ 0.001	677.589	18.507	≤ 0.001
Std teach ratio	-0.207	0.622	0.740	−0.502	0.594	0.403	−0.896	0.607	0.028
English	-0.740	0.036	≤ 0.001	−0.776	0.040	≤ 0.001	−0.731	0.044	≤ 0.001
Expend	0.005	0.002	0.019	0.006	0.002	0.001	0.001	0.002	0.328
	= 14.923			= 16.176			= 17.701