Skip to main content

Table 6 Comparison of linear and non-linear regression analysis of changes in sex difference for freestyle and breaststroke swimmers at international level across years to determine which model is the best

From: Changes in breaststroke swimming performances in national and international athletes competing between 1994 and 2011 –a comparison with freestyle swimming performances

 

Kind of regression

Sum of Squares

DOF

AICC

Best regression AIC-Test

Best regression F-Test

Delta

Probability

Likelihood

50 m breaststroke

polynomial

0.037

1

17.53

linear

linear

23.80

6.75 e-6

99.99%

FINA finalists

linear

1.27

4

−6.26

100 m breaststroke

polynomial

0.17

2

9.28

linear

linear

15.80

0.00036

99.96%

FINA finalists

linear

2.53

6

−6.51

200 m breaststroke

polynomial

0.21

3

−7.73

linear

linear

3.24

0.16

83.5%

FINA finalists

linear

1.45

6

−10.98

50 m freestyle

polynomial

0.16

2

9.13

linear

linear

20.57

3.41 e-5

99.99%

FINA finalists

linear

1.37

6

−11.44

100 m freestyle

polynomial

0.56

0

−7.19

linear

undetermined

3.61

0.14

85.9%

FINA finalists

linear

1.48

6

−10.81

200 m freestyle

polynomial

0.60

0

−6.60

linear

undetermined

6.38

0.039

96.1%

FINA finalists

linear

1.13

6

−12.98

  1. The changes were all linear.