(a) Parameters of the best mixture model selected, Cayley-based, using BIC

Group

sample%

modal orderings

precision

1

42

$D\succ B\succ E\succ C\succ A$

0.16

2

31

$C\succ D\succ E\succ A\succ B$

0.79

3

12

$B\succ C\succ A\succ D\succ E$

1.52

4

8

$B\succ C\succ A\succ E\succ D$

1.81

5

7

$B\succ D\succ A\succ E\succ C$

1.72

(b) Parameters of the best mixture model selected, Cayley-based, using ICL

Group

sample%

modal ordering

precision

1

100

$B\succ C\succ A\succ E\succ D$

0.25

(c) The first five coherent groups, each composed of two coherent clusters

Group

sample%

$\beta \left(C\right)$

$\beta \left(A\right)$

$\beta \left(B\right)$

$\beta \left(E\right)$

$\beta \left(D\right)$

Cross

cohG(1) Research

31.0

3.55

3.15

1.31

1.15

0.85

10.22%

cohG(2) Clinical

23.7

0.83

1.28

1.28

3.31

3.30

12.90%

cohG(3) mixed B

14.2

0.66

2.70

2.96

0.71

2.97

12.45%

cohG(4) mixed B

12.0

2.85

0.77

2.86

2.80

0.72

10.22%

cohG(5) outlier

8.6

0.96

3.30

1.31

3.40

1.00

9.88%