Table 2.
Power
of the tests based on projection correlation, ranks of distances and distance correlation for different
in Example
with
and
. All numbers reported in this table are multiplied by
| Scenario |
|
|
Test |
|
|
|
|
|---|---|---|---|---|---|---|---|
| (1a) | 10 |
|
Projection correlation | 98·2 | 88·1 | 74·1 | 59·5 |
| Ranks of distances | 81·6 | 52·3 | 35·6 | 24·2 | |||
| Distance correlation | 7·9 | 4·4 | 4·6 | 2·7 | |||
|
Projection correlation | 99·8 | 96·0 | 89·4 | 79·3 | ||
| Ranks of distances | 93·7 | 75·2 | 60·6 | 46·8 | |||
| Distance correlation | 10·5 | 6·1 | 6·0 | 4·0 | |||
| (1b) | 10 |
|
Projection correlation | 97·0 | 84·8 | 70·7 | 54·7 |
| Ranks of distances | 79·8 | 51·3 | 34·9 | 24·8 | |||
| Distance correlation | 7·6 | 5·0 | 3·1 | 2·5 | |||
|
Projection correlation | 99·5 | 94·6 | 87·4 | 77·6 | ||
| Ranks of distances | 93·7 | 76·1 | 60·3 | 45·5 | |||
| Distance correlation | 9·7 | 6·6 | 4·5 | 3·7 | |||
| (1c) | 2 |
|
Projection correlation | 78·1 | 65·1 | 53·1 | 43·1 |
| Ranks of distances | 31·7 | 20·3 | 13·7 | 9·2 | |||
| Distance correlation | 79·5 | 67·0 | 54·1 | 43·4 | |||
|
Projection correlation | 89·7 | 82·0 | 72·2 | 63·3 | ||
| Ranks of distances | 54·2 | 37·7 | 30·4 | 24·6 | |||
| Distance correlation | 90·2 | 82·3 | 73·0 | 63·5 |