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Table 1 Empirical type I error rates for MiSPU and aMiSPU for scenario 1 with a binary outcome

From: An adaptive association test for microbiome data

 

MiSPUw(2)

MiSPUw(∞)

aMiSPUw

aMiSPUu

aMiSPU

X ⊥ ⊥Z, adjust X

0.052

0.050

0.052

0.049

0.048

X ⊥ ⊥Z, no adjust X

0.051

0.051

0.052

0.049

0.049

X∼Z, adjust X

0.043

0.038

0.043

0.049

0.040

X∼Z, no adjust X

0.091 a

0.119 a

0.112 a

0.053

0.088 a

  1. The type I error rate was evaluated for situations in which the covariates were independent of the OTUs (X ⊥ ⊥Z) or correlated with the OTUs (X∼Z) based on 10,000 simulated data sets at α=0.05
  2. aInflated type I error rates