Table 1:
Power to detect horizontal pleiotropy in Mendelian randomization for different methods.
| Causal effect | Percent | Pleiotropy | MR-PRESSO global test | Q (modified) test | Q’ (modified) test |
|---|---|---|---|---|---|
| 0 | 2 | balanced | 25.34 | 25.40 | 22.04 |
| 0 | 2 | positive | 25.01 | 25.01 | 22.00 |
| 0 | 4 | balanced | 51.79 | 51.96 | 47.80 |
| 0 | 4 | positive | 50.88 | 51.32 | 47.34 |
| 0 | 10 | balanced | 95.53 | 95.58 | 94.47 |
| 0 | 10 | positive | 94.27 | 94.26 | 92.85 |
| 0.1 | 2 | balanced | 24.10 | 24.41 | 21.58 |
| 0.1 | 2 | positive | 23.60 | 23.89 | 20.96 |
| 0.1 | 4 | balanced | 51.17 | 51.49 | 47.51 |
| 0.1 | 4 | positive | 50.67 | 50.59 | 46.69 |
| 0.1 | 10 | balanced | 95.56 | 95.56 | 94.31 |
| 0.1 | 10 | positive | 93.73 | 93.77 | 92.08 |
| 0.2 | 2 | balanced | 22.42 | 22.70 | 19.74 |
| 0.2 | 2 | positive | 22.95 | 22.92 | 19.97 |
| 0.2 | 4 | balanced | 48.37 | 48.29 | 44.45 |
| 0.2 | 4 | positive | 46.89 | 46.82 | 43.18 |
| 0.2 | 10 | balanced | 94.08 | 94.11 | 92.78 |
| 0.2 | 10 | positive | 91.85 | 91.91 | 90.24 |
| 0.5 | 2 | balanced | 16.72 | 16.70 | 14.90 |
| 0.5 | 2 | positive | 16.76 | 16.55 | 15.15 |
| 0.5 | 4 | balanced | 33.71 | 33.79 | 31.00 |
| 0.5 | 4 | positive | 32.52 | 32.66 | 29.93 |
| 0.5 | 10 | balanced | 81.15 | 81.22 | 79.07 |
| 0.5 | 10 | positive | 76.99 | 77.09 | 74.75 |
A total of 50 variants was simulated in each case. The InSIDE (Instrument Strength Independent of Direct Effect) condition is satisfied in all reported scenarios. MR-PRESSO: Mendelian Randomization Pleiotropy RESidual Sum and Outlier.