Table 1.
Comparison of similarity measures to Pearson correlation. Top panel shows significant z statistics for measures worse than Pearson correlation (in brackets) and better than Pearson correlation for the GS study. Bottom panel shows the same for the NI study. p values are Bonferroni corrected
| Similarity measure | z | p |
|---|---|---|
| GS study | ||
| Minkowski(5) | 12.562 | < 0.001 |
| Euclidean | 12.145 | < 0.001 |
| Minkowski(10) | 10.459 | < 0.001 |
| City block | 10.479 | < 0.001 |
| Mahalanobis(d) | 8.825 | < 0.001 |
| Minkowski(50) | 6.624 | < 0.001 |
| Chebyshev | 6.353 | < 0.001 |
| Cosine | 4.532 | < 0.001 |
| Dot product | 4.053 | < 0.001 |
| Mahalanobis | (3.161) | 0.02 |
| NI study | ||
| Mahalanobis(r) | 11.301 | < 0.001 |
| Mahalanobis | 10.304 | < 0.001 |
| Minkowski(50) | 4.920 | < 0.001 |
| Chebyshev | 4.733 | < 0.001 |
| Minkowski(10) | 4.005 | < 0.001 |
| Euclidean | (5.170) | < 0.001 |
| Mahalanobis(d) | (7.593) | < 0.001 |
| City-block | (10.411) | < 0.001 |
| Cosine | (22.803) | < 0.001 |
| Dot product | (29.547) | < 0.001 |