Table 2.
Results from simulation study with correlated variants
r2 | Mean F | Method | Mean | Median | SD | Mean SE | Coverage |
---|---|---|---|---|---|---|---|
0.00 | 42.6 | 2SLS | 0.195 | 0.191 | 0.090 | 0.090 | 94.8 |
IVW | 0.195 | 0.191 | 0.090 | 0.082 | 92.8 | ||
Likelihood | 0.200 | 0.196 | 0.092 | 0.087 | 94.1 | ||
0.06 | 47.8 | 2SLS | 0.196 | 0.193 | 0.086 | 0.085 | 94.5 |
IVW | 0.197 | 0.194 | 0.086 | 0.073 | 90.3 | ||
Likelihood | 0.201 | 0.198 | 0.087 | 0.077 | 92.0 | ||
0.13 | 52.6 | 2SLS | 0.197 | 0.194 | 0.080 | 0.081 | 95.0 |
IVW | 0.199 | 0.196 | 0.080 | 0.066 | 89.5 | ||
Likelihood | 0.202 | 0.199 | 0.081 | 0.070 | 91.2 | ||
0.26 | 63.3 | 2SLS | 0.197 | 0.193 | 0.074 | 0.073 | 94.6 |
IVW | 0.199 | 0.196 | 0.074 | 0.055 | 85.1 | ||
Likelihood | 0.201 | 0.198 | 0.074 | 0.058 | 87.1 | ||
0.41 | 74.8 | 2SLS | 0.198 | 0.196 | 0.067 | 0.067 | 95.0 |
IVW | 0.201 | 0.199 | 0.068 | 0.046 | 82.1 | ||
Likelihood | 0.202 | 0.200 | 0.068 | 0.048 | 84.2 |
Instrumental variable estimates of causal effect +0.2 from simulated data with correlated variants (correlation measured by r2, the average squared correlation between variants) using individual-level data (two-stage least squares method, 2SLS) and summarized data (inverse-variance weighted, IVW, and likelihood-based methods) with mean F statistic, mean and median estimates across simulations, SD of estimates, mean SE of estimates, coverage (%) of 95% confidence interval