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Table 1 Curve estimations of the distribution of individual frequency per rank for each age-sex category in the small group of chacma baboons

From: Group decision-making in chacma baboons: leadership, order and communication during movement

Category

Function

R2

F

P

equation

 

Linear

0.19

2.19

0.172

y = -0.0175x + 0.1926

Adult male

Parabolic

0.68

19.71

0.002

y = 0.0104x2 - 0.1429x + 0.4642

 

Cubic

0.86

54.96

< 0.0001

y = -0.0025x 3 + 0.0547x 2 - 0.3648x + 0.7329

 

Linear

0.03

0.279

0.610

y = -0.0079x + 0.4902

Adult females

Parabolic

0.41

141.24

< 0.0001

y = 0.0101x 2 - 0.1294x + 0.7534

 

Cubic

0.41

6.34

0.033

y = 3E-05x3 + 0.0096x2 - 0.1268x + 0.7503

 

Linear

0.60

13.69

0.005

y = 0.0244x + 0.0303

Sub-adults

Parabolic

0.61

14.09

0.005

y = 0.0009x2 + 0.0133x + 0.0544

 

Cubic

0.82

39.43

0.0001

y = 0.0019x 3 - 0.034x 2 + 0.1885x - 0.1577

 

Linear

0.01

0.03

0.868

y = 0.0035x + 0.2448

Juveniles

Parabolic

0.88

71.02

< 0.0001

y = -0.021x 2 + 0.255x - 0.3001

 

Cubic

0.88

68.09

< 0.0001

y = 9E-05x3 - 0.0226x2 + 0.2635x - 0.3103

  1. Results in bold indicate the best-fitting function explaining the distribution. R2 are adjusted according to the number of free parameters.