Table 1 Empirical type I error rates and powers of HT, oPC (k_0.8), SSU, SKAT, mCPC (k_0.8) and tCPC for Constant correlations.

40.5 cmType	ρ	β ₁	p	q	HT	oPC (0.8)	SSU	SKAT	mCPC (k_0.8)	tCPC
40.1 cmI 40.5 cm error	0.20	0	0.20	0.20	0.047	0.047	0.044	0.048	0.044	0.048
	0.50	0	0.20	0.20	0.051	0.052	0.043	0.049	0.051	0.045
	0.80	0	0.20	0.20	0.053	0.049	0.051	0.052	0.050	0.051
	0.95	0	0.20	0.20	0.046	0.053	0.049	0.052	0.047	0.047
	0.20	ln 1.6	0.05	0.30	0.448	0.054	0.140	0.446	0.610	0.404
	0.20	ln 1.4	0.20	0.20	0.754	0.736	0.772	0.762	0.700	0.766
	0.20	ln 1.4	0.30	0.05	0.884	0.922	0.996	0.886	0.856	0.996
	0.50	ln 1.6	0.05	0.30	0.450	0.106	0.288	0.430	0.524	0.496
40.8 cm Power	0.50	ln 1.4	0.20	0.20	0.724	0.756	0.810	0.816	0.702	0.856
	0.50	ln 1.4	0.30	0.05	0.886	0.928	0.996	0.894	0.874	0.988
	0.80	ln 1.6	0.05	0.30	0.450	0.144	0.352	0.440	0.456	0.528
	0.80	ln 1.4	0.20	0.20	0.740	0.778	0.918	0.918	0.754	0.924
	0.80	ln 1.4	0.30	0.05	0.872	0.942	0.984	0.818	0.910	0.964
	0.95	ln 1.6	0.05	0.30	0.484	0.246	0.300	0.368	0.500	0.520
	0.95	ln 1.4	0.20	0.20	0.736	0.940	0.972	0.972	0.924	0.948
	0.95	ln 1.4	0.30	0.05	0.880	0.996	0.962	0.684	0.988	0.920

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