| 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 | - |
- 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.
- 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.
- 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.
- 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.