Correlation of

Order (p, q)

ANSUR Male (Nm = 4082)

ANSUR Female (Nf = 1986)

Symmetric

Theory

Empirical

Theory

Empirical

c (1, 1)

0.4689 ± 0.0176

0.4689

0.5359 ± 0.0259

0.5335

c (2, 2)

1.4805 ± 0.0930

1.5016

1.6239 ± 0.1476

1.6273

c (3, 3)

5.6321 ± 1.0145

5.3520

6.6972 ± 1.6862

6.2098

c (4, 4)

37.4678 ± 17.6228

29.1619

45.9161 ± 30.6070

32.5774

Asymmetric

c (2, 1)

0.0733 ± 0.0386

0.0360

0.0539 ± 0.0594

0.0909

c (3, 1)

1.4246 ± 0.0972

1.4258

1.6303 ± 0.1514

1.6475

c (4, 1)

0.6653 ± 0.3039

0.2072

0.7936 ± 0.4802

0.4785

c (5, 1)

7.3582 ± 1.0496

7.1497

8.4395 ± 1.6738

8.0036

c (3, 2)

0.8319 ± 0.2723

0.5211

0.4561 ± 0.4427

0.6455

c (4, 2)

6.0898 ± 0.8993

5.8583

6.6411 ± 1.4904

6.6180

c (4, 3)

7.3772 ± 3.5970

2.9937

3.7538 ± 6.1366

4.3204

c (5, 3)

34.9370 ± 14.1979

28.1909

35.8100 ± 24.7631

32.5825