Table 1.

Simulation I: empirical Type I error and power rates when the number of independent columns (denoted as “No. ind”) is 25, 45, and 65 respectively. “RV.asy” and “RV.perm” stand for the asymptotic and permutation-based RV tests, respectively

No.Ind		SPC.P(γ)									aSPC.P	aSPC.Sp	aSPC.dCor	RV.asy	RV.perm	Mantel	dCov	GEE-aSPU	MANOVA
		γ = 1	2	3	4	5	6	7	8	Inf
25	Type I	0.047	0.053	0.049	0.050	0.050	0.051	0.052	0.053	0.054	0.046	0.049	0.049	0.053	0.055	0.050	0.052	0.055	0.046
	Power	0.417	0.844	0.886	0.932	0.917	0.908	0.879	0.852	0.589	0.933	0.893	0.828	0.840	0.838	0.098	0.819	0.955	0.378
45	Type I	0.055	0.052	0.052	0.052	0.052	0.053	0.050	0.050	0.048	0.052	0.049	0.050	0.052	0.051	0.050	0.053	0.061	0.045
	Power	0.196	0.538	0.587	0.753	0.732	0.759	0.710	0.700	0.425	0.749	0.674	0.587	0.539	0.538	0.074	0.522	0.832	0.174
65	Type I	0.056	0.055	0.050	0.052	0.054	0.050	0.050	0.051	0.049	0.050	0.050	0.047	0.056	0.055	0.052	0.054	0.057	0.041
	Power	0.118	0.352	0.371	0.581	0.558	0.627	0.576	0.578	0.328	0.594	0.506	0.450	0.355	0.354	0.072	0.345	0.702	0.110