A powerful microbial group association test based on the higher criticism analysis for sparse microbial association signals

Table 1 Empirical type I error rates at the significance level of 5% for the individual (i.e., uHC_(h)’s and wHC_(h)’s for h ∈ {1, 3, 5, 7, 9}) and omnibus (i.e., uHC_A, wHC_A, and MiHC) higher criticism tests, the Simes test, and the other competing tests (i.e., aMiAD, aMiSPU, and OMiRKAT)

Category		Method	n=50	n=100
Individual HC tests	Unweighted tests	uHC₍₁₎	0.051	0.049
		uHC₍₃₎	0.050	0.052
		uHC₍₅₎	0.049	0.049
		uHC₍₇₎	0.050	0.050
		uHC₍₉₎	0.050	0.051
	Weighted tests	wHC₍₁₎	0.047	0.047
		wHC₍₃₎	0.048	0.049
		wHC₍₅₎	0.048	0.049
		wHC₍₇₎	0.049	0.049
		wHC₍₉₎	0.049	0.049
Omnibus HC tests	Local omnibus tests	uHC_A	0.049	0.049
	Local omnibus tests	wHC_A	0.049	0.049
	Global omnibus tests	MiHC	0.050	0.052
Non-HC tests		Simes	0.048	0.049
		aMiAD	0.050	0.051
		aMiSPU	0.051	0.051
		OMiRKAT	0.050	0.050

ISSN: 2049-2618