Table 2. The predictive performances (in R 2 for linear traits and AUC for binary traits) when all markers are included in PRS in simulations for N = 5000 and 10000 using independent SNPs.
| N | h2 | Linear traits | Binary traits | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| Standard | Tdr | Tweedie | Tweedie*tdr | Standard best p | Standard | Tdr | Tweedie | Tweedie*tdr | Standard best p | ||
| 5000 | 0.15 | 0.012 | 0.053 | 0.040 | 0.047 | 0.048 | 0.527 | 0.542 | 0.530 | 0.535 | 0.546 |
| 0.35 | 0.051 | 0.214 | 0.187 | 0.200 | 0.204 | 0.564 | 0.620 | 0.595 | 0.605 | 0.608 | |
| 0.55 | 0.118 | 0.407 | 0.377 | 0.397 | 0.399 | 0.599 | 0.705 | 0.680 | 0.690 | 0.691 | |
| 10000 | 0.15 | 0.019 | 0.085 | 0.074 | 0.081 | 0.081 | 0.537 | 0.576 | 0.559 | 0.567 | 0.570 |
| 0.35 | 0.087 | 0.275 | 0.255 | 0.266 | 0.274 | 0.585 | 0.688 | 0.671 | 0.682 | 0.679 | |
| 0.55 | 0.187 | 0.461 | 0.444 | 0.457 | 0.468 | 0.632 | 0.770 | 0.757 | 0.768 | 0.763 | |
For the columns labelled “Standard”, “Tdr”, “Tweedie” and “Tweedie*tdr”, we first applied LD-clumping with an r2 threshold of 0.25 to all SNPs, then PRS was derived using all SNPs that remained. There was no selection of p-value thresholds.
The best predictive performance obtained from optimal p-value thresholds using standard PRS are also shown for comparison (under the column “standard best p”). N denotes the total sample size. For binary traits, an equal number of cases and controls are simulated. Tdr: True discovery rate; h2: total heritability explained. The rest of the simulation results are presented in Supplementary Table 2.