Table C8. The size-adjusted power performance of the unit root tests when j = 1 and with fractional κ values.
| Model 1 | Model 2 | Model 3 | Model 4 | |||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| T | κ | α | β | ρ | τ | τ | τ | τ | ||||||||
| 50 | 1.3 | 0 | 0 | 0.98 | 0.075 | 0.076 | 0.074 | 0.075 | 0.079 | 0.077 | 0.071 | 0.072 | 0.070 | 0.073 | 0.075 | 0.073 |
| 0 | 0 | 0.80 | 0.392 | 0.369 | 0.362 | 0.383 | 0.370 | 0.361 | 0.392 | 0.297 | 0.158 | 0.391 | 0.370 | 0.363 | ||
| 0 | 3 | 0.98 | 0.079 | 0.074 | 0.073 | 0.074 | 0.073 | 0.072 | 0.075 | 0.074 | 0.070 | 0.075 | 0.076 | 0.076 | ||
| 0 | 3 | 0.80 | 0.390 | 0.361 | 0.352 | 0.395 | 0.372 | 0.366 | 0.396 | 0.293 | 0.158 | 0.394 | 0.373 | 0.369 | ||
| 3 | 0 | 0.98 | 0.079 | 0.076 | 0.073 | 0.077 | 0.077 | 0.076 | 0.075 | 0.071 | 0.064 | 0.070 | 0.074 | 0.071 | ||
| 3 | 0 | 0.80 | 0.391 | 0.365 | 0.355 | 0.384 | 0.362 | 0.357 | 0.399 | 0.286 | 0.144 | 0.389 | 0.367 | 0.358 | ||
| 3 | 3 | 0.98 | 0.072 | 0.075 | 0.072 | 0.070 | 0.072 | 0.069 | 0.071 | 0.070 | 0.068 | 0.074 | 0.077 | 0.074 | ||
| 3 | 3 | 0.80 | 0.383 | 0.366 | 0.357 | 0.385 | 0.358 | 0.346 | 0.395 | 0.284 | 0.151 | 0.394 | 0.385 | 0.378 | ||
| 1.7 | 0 | 0 | 0.98 | 0.067 | 0.072 | 0.072 | 0.064 | 0.068 | 0.067 | 0.073 | 0.072 | 0.063 | 0.067 | 0.074 | 0.073 | |
| 0 | 0 | 0.80 | 0.400 | 0.379 | 0.368 | 0.397 | 0.375 | 0.362 | 0.395 | 0.325 | 0.220 | 0.387 | 0.389 | 0.376 | ||
| 0 | 3 | 0.98 | 0.070 | 0.073 | 0.071 | 0.066 | 0.068 | 0.066 | 0.068 | 0.068 | 0.061 | 0.068 | 0.074 | 0.072 | ||
| 0 | 3 | 0.80 | 0.392 | 0.375 | 0.368 | 0.380 | 0.370 | 0.358 | 0.391 | 0.318 | 0.213 | 0.406 | 0.399 | 0.390 | ||
| 3 | 0 | 0.98 | 0.070 | 0.075 | 0.073 | 0.071 | 0.076 | 0.076 | 0.073 | 0.070 | 0.066 | 0.071 | 0.073 | 0.070 | ||
| 3 | 0 | 0.80 | 0.389 | 0.382 | 0.368 | 0.400 | 0.385 | 0.376 | 0.395 | 0.322 | 0.224 | 0.394 | 0.381 | 0.370 | ||
| 3 | 3 | 0.98 | 0.067 | 0.070 | 0.069 | 0.071 | 0.078 | 0.075 | 0.068 | 0.069 | 0.066 | 0.072 | 0.073 | 0.070 | ||
| 3 | 3 | 0.80 | 0.392 | 0.381 | 0.371 | 0.411 | 0.389 | 0.377 | 0.396 | 0.329 | 0.224 | 0.398 | 0.374 | 0.364 | ||
| 1000 | 1.3 | 0 | 0 | 0.98 | 0.830 | 0.979 | 0.981 | 0.826 | 0.978 | 0.979 | 0.842 | 0.978 | 0.978 | 0.833 | 0.982 | 0.983 |
| 0 | 0 | 0.80 | 0.978 | 0.993 | 0.985 | 0.978 | 0.994 | 0.987 | 0.998 | 1.000 | 0.999 | 0.980 | 0.995 | 0.988 | ||
| 0 | 3 | 0.98 | 0.824 | 0.978 | 0.979 | 0.839 | 0.980 | 0.980 | 0.840 | 0.973 | 0.974 | 0.826 | 0.979 | 0.980 | ||
| 0 | 3 | 0.80 | 0.976 | 0.994 | 0.984 | 0.978 | 0.993 | 0.985 | 0.998 | 1.000 | 0.999 | 0.976 | 0.994 | 0.985 | ||
| 3 | 0 | 0.98 | 0.828 | 0.981 | 0.982 | 0.825 | 0.978 | 0.979 | 0.833 | 0.975 | 0.975 | 0.823 | 0.980 | 0.981 | ||
| 3 | 0 | 0.80 | 0.976 | 0.994 | 0.986 | 0.978 | 0.993 | 0.986 | 0.997 | 1.000 | 0.998 | 0.978 | 0.994 | 0.986 | ||
| 3 | 3 | 0.98 | 0.831 | 0.978 | 0.980 | 0.823 | 0.978 | 0.979 | 0.839 | 0.973 | 0.975 | 0.830 | 0.983 | 0.983 | ||
| 3 | 3 | 0.80 | 0.977 | 0.993 | 0.986 | 0.980 | 0.995 | 0.987 | 0.998 | 1.000 | 0.999 | 0.979 | 0.995 | 0.988 | ||
| 1.7 | 0 | 0 | 0.98 | 0.387 | 0.445 | 0.446 | 0.376 | 0.429 | 0.433 | 0.384 | 0.419 | 0.410 | 0.387 | 0.435 | 0.440 | |
| 0 | 0 | 0.80 | 0.999 | 0.957 | 0.971 | 1.000 | 0.954 | 0.970 | 1.000 | 0.988 | 0.992 | 1.000 | 0.956 | 0.972 | ||
| 0 | 3 | 0.98 | 0.392 | 0.441 | 0.448 | 0.378 | 0.426 | 0.429 | 0.386 | 0.422 | 0.416 | 0.388 | 0.430 | 0.435 | ||
| 0 | 3 | 0.80 | 1.000 | 0.960 | 0.973 | 0.999 | 0.952 | 0.968 | 1.000 | 0.989 | 0.992 | 0.999 | 0.954 | 0.968 | ||
| 3 | 0 | 0.98 | 0.386 | 0.433 | 0.436 | 0.395 | 0.452 | 0.457 | 0.389 | 0.409 | 0.407 | 0.396 | 0.447 | 0.452 | ||
| 3 | 0 | 0.80 | 0.999 | 0.956 | 0.971 | 1.000 | 0.956 | 0.970 | 1.000 | 0.987 | 0.991 | 1.000 | 0.954 | 0.969 | ||
| 3 | 3 | 0.98 | 0.387 | 0.439 | 0.451 | 0.384 | 0.444 | 0.446 | 0.402 | 0.437 | 0.436 | 0.386 | 0.441 | 0.447 | ||
| 3 | 3 | 0.80 | 1.000 | 0.955 | 0.970 | 0.999 | 0.955 | 0.969 | 1.000 | 0.989 | 0.992 | 0.999 | 0.952 | 0.968 | ||