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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

Category

Method

A

B

C

D

Individual HC tests

Unweighted tests

uHC(1)

0.024*

0.192

0.025*

0.009*

uHC(3)

0.023*

0.173

0.024*

0.008*

uHC(5)

0.023*

0.131

0.024*

0.007*

uHC(7)

0.022*

0.097

0.024*

0.007*

uHC(9)

0.022*

0.088

0.024*

0.007*

Weighted tests

wHC(1)

0.008*

0.063

0.026*

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 tests

Local omnibus tests

uHCA

0.040*

0.129

0.029*

0.013*

wHCA

0.016*

0.036*

0.029*

0.012*

Global omnibus tests

MiHC

0.017*

0.044*

0.030*

0.012*

Non-HC tests

Simes

0.023*

0.163

0.191

0.170

aMiAD

0.035*

0.449

0.346

0.012*

aMiSPU

0.063

0.170

0.017*

0.181

OMiRKAT

0.005*

0.001*

0.016*

0.150