Table 4.
The power
of the tests based on projection correlation, ranks of distances and distance correlation for different
in Example 2 with
|
|
Test |
|
|
|
|
|---|---|---|---|---|---|---|
| 10 |
|
Projection correlation | 18·5 | 13·2 | 11·1 | 9·3 |
| Ranks of distances | 4·1 | 2·7 | 2·6 | 2·6 | ||
| Distance correlation | 14·9 | 11·1 | 8·5 | 7·5 | ||
|
Projection correlation | 42·8 | 34·4 | 28·4 | 26·2 | |
| Ranks of distances | 13·1 | 10·6 | 8·8 | 8·7 | ||
| Distance correlation | 34·9 | 27·6 | 23·7 | 21·7 | ||
| 20 |
|
Projection correlation | 79·7 | 67·7 | 53·6 | 47·0 |
| Ranks of distances | 20·1 | 15·9 | 10·8 | 8·7 | ||
| Distance correlation | 66·7 | 55·8 | 42·4 | 37·6 | ||
|
Projection correlation | 95·2 | 88·9 | 80·2 | 74·3 | |
| Ranks of distances | 39·6 | 31·8 | 24·5 | 22·3 | ||
| Distance correlation | 86·9 | 79·5 | 69·0 | 62·2 | ||
| 30 |
|
Projection correlation | 99·6 | 97·5 | 93·8 | 86·9 |
| Ranks of distances | 49·3 | 33·9 | 25·3 | 19·9 | ||
| Distance correlation | 97·6 | 92·1 | 85·6 | 75·9 | ||
|
Projection correlation | 100 | 99·9 | 99·4 | 97·4 | |
| Ranks of distances | 72·6 | 55·9 | 45·8 | 38·6 | ||
| Distance correlation | 99·7 | 98·1 | 96·1 | 92·2 |