. Author manuscript; available in PMC: 2012 Dec 1.

Published in final edited form as: Psychol Methods. 2011 Oct 31;16(4):373–390. doi: 10.1037/a0025813

Table 2.

Top $η_{G}^{2}$ effect sizes for contrasts of random effect dispersion estimates across model specifications/estimators.

Design Factor	Variance Components

	Small		Medium		Large

	τ̂₀₀	τ̂₁₁	τ̂₀₀	τ̂₁₁	τ̂₀₀	τ̂₁₁
Contrast 1: Linear versus Logistic Model
Main Effect	< 0.01	< 0.01	0.05	0.02	0.21	0.11
× Number of Categories	0.01	< 0.01	0.02	< 0.01	0.04	0.01
× Cluster Size	< 0.01	0.01	< 0.01	< 0.01	0.01	0.01
Contrast 2: PQL versus ML Logistic Model
Main Effect	< 0.01	< 0.01	0.02	0.01	0.27	0.15
× Number of Categories	< 0.01	< 0.01	0.01	0.01	0.07	0.05
× Cluster Size	< 0.01	< 0.01	0.01	0.01	0.05	0.05
× Number of Clusters	0.01	< 0.01	0.01	< 0.01	0.01	0.01

Note. “×” indicates an interaction of the designated between-subjects factor of the simulation design with the within-subjects contrast for method of estimation.