Table 2.

Proportion of significance for sphericity-test at α = 0.05 and interaction test at α = 0.05 for rANOVA and HLM.

n	γ11	Sphericity-test	rANOVA	Corrected rANOVA	HLM
20	0.00	0.745	0.089	0.043	0.033
20	0.05	0.771	0.195	0.121	0.278
20	0.10	0.959	0.999	0.995	1.000
38	0.00	0.987	0.107	0.051	0.034
38	0.05	0.991	0.451	0.328	0.521
38	0.10	0.999	0.869	0.776	0.950
55	0.00	1.000	0.083	0.046	0.031
55	0.05	0.953	0.365	0.261	0.449
55	0.10	1.000	0.909	0.845	0.985

Mauchly's Test for Sphericity was used. The corrected rANOVA made use of the Greenhouse-Geisser correction. The cross-level interaction for the hierarchical model were tested via a Wald-test.