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Table 2 The p values 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). (A) The association between respiratory tract microbiome and smoking status. (B) The association between the infant’s gut microbiome and delivery mode. (C) The association between the gut microbiome and type 1 diabetes status. (D) The association between the gut microbiome and human immunodeficiency virus status. * represents significant p values

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

CategoryMethodABCD
Individual HC testsUnweighted testsuHC(1)0.024*0.1920.025*0.009*
uHC(3)0.023*0.1730.024*0.008*
uHC(5)0.023*0.1310.024*0.007*
uHC(7)0.022*0.0970.024*0.007*
uHC(9)0.022*0.0880.024*0.007*
Weighted testswHC(1)0.008*0.0630.026*0.009*
wHC(3)0.010*0.042*0.024*0.008*
wHC(5)0.013*0.032*0.023*0.007*
wHC(7)0.015*0.025*0.023*0.007*
wHC(9)0.015*0.020*0.024*0.007*
Omnibus HC testsLocal omnibus testsuHCA0.040*0.1290.029*0.013*
wHCA0.016*0.036*0.029*0.012*
Global omnibus testsMiHC0.017*0.044*0.030*0.012*
Non-HC testsSimes0.023*0.1630.1910.170
aMiAD0.035*0.4490.3460.012*
aMiSPU0.0630.1700.017*0.181
OMiRKAT0.005*0.001*0.016*0.150