Table 2.
Power estimates obtained by contrasting pairs simulated under H1 : ρXs, Ys = ρ, to the null distribution returned by our algorithm and Clifford’s method, in addition to the true null obtained by simulating correlated pairs under model (2). Results are presented for different levels of autocorrelation, effect size and resolution: ϕ ∈ (0.05, 0.1, 0.3), ρ ∈ (0.2, 0.5, 0.8) and g ∈ (0.05, 0.01).
| Power Estimates | |||||
|---|---|---|---|---|---|
| ϕ = 0.05 | ϕ = 0.1 | ϕ = 0.3 | |||
| grid size = 0.05 | ρ = 0.2 | 0.921 (0.026) | 0.418 (0.059) | 0.103 (0.034) | true |
| 0.926 (0.031) | 0.444 (0.087) | 0.089 (0.042) | ours | ||
| 0.926 (0.030) | 0.446 (0.077) | 0.153 (0.045) | Clifford | ||
| ρ = 0.5 | 1 (0) | 0.997 (0.005) | 0.426 (0.055) | true | |
| 1 (0) | 0.997 (0.005) | 0.420 (0.089) | ours | ||
| 1 (0) | 0.997 (0.005) | 0.558 (0.100) | Clifford | ||
| ρ = 0.8 | 1 (0) | 1 (0) | 0.951 (0.021) | true | |
| 1 (0) | 1 (0) | 0.879 (0.127) | ours | ||
| 1 (0) | 1 (0) | 0.950 (0.045) | Clifford | ||
| grid size = 0.01 | ρ = 0.2 | 0.915 (0.033) | 0.405 (0.052) | 0.104 (0.030) | true |
| 0.935 (0.031) | 0.404 (0.073) | 0.124 (0.069) | ours | ||
| 0.927 (0.030) | 0.415 (0.064) | 0.169 (0.046) | Clifford | ||
| ρ = 0.5 | 1 (0) | 0.996 (0.007) | 0.424 (0.059) | true | |
| 1 (0) | 0.996 (0.007) | 0.391 (0.154) | ours | ||
| 1 (0) | 0.996 (0.007) | 0.510 (0.111) | Clifford | ||
| ρ = 0.8 | 1 (0) | 1 (0) | 0.937 (0.022) | true | |
| 1 (0) | 1 (0) | 0.949 (0.030) | ours | ||
| 1 (0) | 1 (0) | 0.972 (0.018) | Clifford | ||