Table 1.
Empirical type I error of LSKAT and LBT under different correlation structures, based on 106 simulated replicates. Rates that are significantly larger than the nominal levels are in bold.
| Sample Size | Correlation | Empirical Type I Error
|
|||||
|---|---|---|---|---|---|---|---|
| LSKAT
|
LBT
|
||||||
| α = 10−3 | α = 10−4 | α = 10−5 | α = 10−3 | α = 10−4 | α = 10−5 | ||
| AR(1) | 8.9 × 10−4 | 6.1 × 10−5 | 4 × 10−6 | 1.0 × 10−3 | 8.2 × 10−5 | 5 × 10−6 | |
| 500 | CS | 6.1 × 10−4 | 4.3 × 10−5 | 5 × 10−6 | 5.6 × 10−4 | 4.7 × 10−5 | 2 × 10−6 |
| SAD(1) | 1.0 × 10−3 | 9.8 × 10−5 | 4 × 10−6 | 1.5 × 10−3 | 1.5 × 10−4 | 1.6 × 10−5 | |
|
| |||||||
| AR(1) | 8.8 × 10−4 | 8.6 × 10−5 | 8 × 10−6 | 1.0 × 10−3 | 8.3 × 10−5 | 4 × 10−6 | |
| 1000 | CS | 6.0 × 10−4 | 4.8 × 10−5 | 5 × 10−6 | 6.7 × 10−4 | 4.2 × 10−5 | 5 × 10−6 |
| SAD(1) | 8.6 × 10−4 | 7.9 × 10−5 | 5 × 10−6 | 8.2 × 10−4 | 6.2 × 10−5 | 4 × 10−6 | |
|
| |||||||
| AR(1) | 8.4 × 10−4 | 7.9 × 10−5 | 7 × 10−6 | 7.4 × 10−4 | 6.3 × 10−5 | 4 × 10−6 | |
| 2500 | CS | 6.8 × 10−4 | 5.9 × 10−5 | 4 × 10−6 | 6.7 × 10−4 | 4.5 × 10−5 | 4 × 10−6 |
| SAD(1) | 9.4 × 10−4 | 8.7 × 10−5 | 7 × 10−6 | 9.0 × 10−4 | 4.7 × 10−5 | 6 × 10−6 | |
AR(1): first-order autoregressive model
CS: compound symmetry model
SAD(1): first-order structured antedependence model