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Table 2 Comparison of powers in simulations based on the coalescent model (5000 individuals), with \(\tau = 1\)

From: Mixed logistic regression in genome-wide association studies

Scenario

\(p_0\)

\(p_1\)

OR

MAF bin

LR

AMLE

Offset

Large cohort effect

0.05

0.30

1.5

(0.20; 0.25]

0.307

0.251

0.202

Large cohort effect

0.05

0.30

1.5

(0.45; 0.50]

0.597

0.544

0.464

No cohort effect

0.30

0.30

1.5

(0.20; 0.25]

0.871

0.859

0.834

No cohort effect

0.30

0.30

1.5

(0.45; 0.50]

0.996

0.989

0.987

  1. \(p_0\) and \(p_1\) are the prevalences in the two strata. Powers at the genome-wide significance level \(5\times 10^{-8}\) are reported for logistic regression (LR), AMLE (equivalent to the score test) and Offset methods, all analyses including 10 PCs with fixed effect