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