Table 2 Type I error rates of MRBSS, mvLMM, and 2HiGWAS when \(\Sigma\) is of compound-symmetry structure
q | \(\rho\) | \(q_0\) | MRBSS | mvLMM | 2HiGWAS |
|---|---|---|---|---|---|
100 | 0.2 | 5% | 0.0720 | 0.0211 | 0.2138 |
10% | 0.0733 | 0.0111 | 0.3164 | ||
20% | 0.0723 | 0.0125 | 0.3493 | ||
0.5 | 5% | 0.0721 | 0.0215 | 0.2094 | |
10% | 0.0732 | 0.0781 | 0.3121 | ||
20% | 0.0721 | 0.0273 | 0.3453 | ||
0.9 | 5% | 0.0721 | 0.0433 | 0.1927 | |
10% | 0.0726 | 0.0554 | 0.2887 | ||
20% | 0.0722 | 0.0427 | 0.3349 | ||
200 | 0.2 | 5% | 0.0654 | 0.0789 | 0.1804 |
10% | 0.0659 | 0.0389 | 0.1758 | ||
20% | 0.0644 | 0.0438 | 0.1576 | ||
0.5 | 5% | 0.0655 | 0.0332 | 0.1765 | |
10% | 0.0658 | 0.0416 | 0.1726 | ||
20% | 0.0648 | 0.0875 | 0.1518 | ||
0.9 | 5% | 0.0656 | 0.0474 | 0.1615 | |
10% | 0.0662 | 0.0491 | 0.1625 | ||
20% | 0.0650 | 0.0527 | 0.1355 | ||
500 | 0.2 | 5% | 0.0621 | 0.0425 | 0.0711 |
10% | 0.0617 | 0.0333 | 0.0687 | ||
20% | 0.062 | 0.0389 | 0.0695 | ||
0.5 | 5% | 0.0622 | 0.0561 | 0.0691 | |
10% | 0.0618 | 0.0511 | 0.0661 | ||
20% | 0.0621 | 0.0433 | 0.0667 | ||
0.9 | 5% | 0.0629 | 0.0435 | 0.0637 | |
10% | 0.0618 | 0.0472 | 0.0581 | ||
20% | 0.0619 | 0.0479 | 0.0581 |