Correlation of Order (p, q) | ANSUR Male (Nm = 4082) | ANSUR Female (Nf = 1986) | ||
Symmetric | Theory | Empirical | Theory | Empirical |
r (1, 1) | 0.4716 ± 0.0173 | 0.4716 | 0.5387 ± 0.0254 | 0.5387 |
r (2, 2) | 1.4448 ± 0.0769 | 1.5217 | 1.5804 ± 0.1208 | 1.6517 |
r (3, 3) | 4.8736 ± 0.5808 | 5.7232 | 5.7832 ± 0.9517 | 6.3744 |
r (4, 4) | 26.1998 ± 6.0103 | 36.9508 | 31.9151 ± 10.2693 | 34.9686 |
r (5, 5) | 171.8363 ± 79.6825 | 317.1787 | 220.4467 ± 141.8672 | 228.2331 |
r (6, 6) | 1400.7283 ± 1289.8011 | 3411.6961 | 1872.6315 ± 2392.8292 | 1705.9690 |
Asymmetric (even p + q) |
|
|
|
|
r (3, 1) | 1.4148 ± 0.0899 | 1.4668 | 1.6161 ± 0.1384 | 1.6800 |
r (5, 1) | 7.0739 ± 0.8568 | 7.8256 | 8.0804 ± 1.3408 | 8.3927 |
r (7, 1) | 49.5172 ± 11.6439 | 60.4761 | 56.5632 ± 18.3731 | 56.2658 |
r (4, 2) | 5.6688 ± 0.6364 | 6.4405 | 6.4823 ± 1.0323 | 6.4405 |
r (5, 3) | 27.5146 ± 6.4358 | 37.7596 | 33.6210 ± 10.9103 | 37.7596 |
r (6, 4) | 182.9017 ± 148.8452 | 330.3891 | 232.0216 ± 148.8452 | 242.3626 |
Asymmetric (odd p + q) |
|
|
|
|
r (2, 1) | 0 ± 0.0373 | -0.0435 | 0 ± 0.0568 | -0.0032 |
r (4, 1) | 0 ± 0.2674 | -0.5132 | 0 ± 0.4162 | -0.3299 |
r (6, 1) | 0 ± 3.0566 | −6.8819 | 0 ± 4.8072 | −4.7772 |
r (3, 2) | 0 ± 0.2117 | −0.3896 | 0 ± 0.3387 | −0.3637 |
r (4, 3) | 0 ± 1.8482 | −5.1806 | 0 ± 3.0866 | −3.8362 |
r (5, 4) | 0 ± 21.6387 | −64.2309 | 0 ± 37.6773 | −37.6538 |