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Table 1 Type I error estimate at alpha = 0.05 with 10,000 replicates for quantitative phenotype and single SNP genotype data with MAF = 0.1.

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

Phenotype Distribution

Polygenic Variance

LM

LME

FBAT

LM-LME 1

LM-LME 2

Normal

0.3

0.084

0.051

0.050

0.049

0.051

Normal

0.6

0.115

0.052

0.049

0.046

0.050

Abs Normal

0.3

0.055

0.053

0.049

0.053

0.053

Abs Normal

0.6

0.064

0.050

0.049

0.050

0.050

Chi-square(1)

0.3

0.076

0.052

0.050

0.052

0.052

Chi-square(1)

0.6

0.104

0.049

0.051

0.045

0.047

Lognormal

0.3

0.059

0.054

0.046

0.054

0.054

Lognormal

0.6

0.066

0.049

0.047

0.049

0.049

  1. The SNP explains 0% phenotype variation.
  2. Normal: marginal phenotype follows the standard normal distribution
  3. Abs Normal: marginal phenotype follows the absolute standard normal distribution
  4. Chi-square(1): marginal phenotype follows a Chi-square distribution with 1 degree of freedom
  5. Lognormal: marginal phenotype follows a Lognormal distribution
  6. LM_LME1: two-stage approach with LM (p-value cut-off 0.1) at first stage
  7. LM_LME2: two-stage approach with LM (p-value cut-off 0.2) at first stage