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Table 6 Type I error and power estimates in the presence of population admixture at alpha = 1e-6 using 100 replicates.

From: A three-stage approach for genome-wide association studies with family data for quantitative traits

 

Phenotype data

LM

LME

FBAT

LM-LME 1

Three-stage

Type I error (r2 = 0)

original phenotypes

0.63

0.08

0.02

0.08

0.02

 

residuals (1)

0.59

0.07

-

0.07

-

 

residuals (2)

0.13

0.01

-

0.01

-

Power r2 = 0.5

original phenotypes

0.43

0.39

0

0.39

0.31

 

residuals (1)

0.45

0.37

-

0.37

-

 

residuals (2)

0.17

0.14

-

0.14

 

Power r2 = 0.8

original phenotypes

0.66

0.63

0.05

0.63

0.56

 

residuals (1)

0.66

0.63

-

0.63

-

 

residuals (2)

0.57

0.47

-

0.47

-

Power QTL

original phenotypes

0.81

0.85

0.11

0.85

0.83

 

residuals (1)

0.82

0.84

-

0.84

-

 

residuals (2)

0.81

0.67

-

0.67

-

  1. Marginal phenotype distribution follows a normal distribution with variance 1. The additive genetic effect in assessing power is sqrt(0.005/2/0.3/0.7) = 0.109.
  2. LM_LME1: two-stage approach with LM at first stage with p-value cut-off 0.1 and LME at second stage with p-value cut-off 1e-6.
  3. Three-stage: LM at first stage with p-value cut-off 0.1, LME at second stage with p-value cut-off 1e-6 and FBAT at third stage with p-value cut-off 0.05/n, where n is the number of SNPs entering the third stage.
  4. The original simulated phenotypes and the residuals adjusted for 10 PC obtained from all 34,625 SNPs on chromosome 1 and 100 admixture SNPs (1), and from 100 admixture SNPs (2) are analyzed. The 100 admixture simulated SNPs have expected allele frequency 0.3, F ST = 0.025, the offset value δ = 0.25, QTL variance is 0.005, and the polygenic variation is 0.3. When estimating power, 34,265 SNPs are not used.