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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., uHCA, wHCA, and MiHC) higher criticism tests, the Simes test, and the other competing tests (i.e., aMiAD, aMiSPU, and OMiRKAT)

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

CategoryMethodn=50n=100
Individual HC testsUnweighted testsuHC(1)0.0510.049
uHC(3)0.0500.052
uHC(5)0.0490.049
uHC(7)0.0500.050
uHC(9)0.0500.051
Weighted testswHC(1)0.0470.047
wHC(3)0.0480.049
wHC(5)0.0480.049
wHC(7)0.0490.049
wHC(9)0.0490.049
Omnibus HC testsLocal omnibus testsuHCA0.0490.049
wHCA0.0490.049
Global omnibus testsMiHC0.0500.052
Non-HC testsSimes0.0480.049
aMiAD0.0500.051
aMiSPU0.0510.051
OMiRKAT0.0500.050