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Table 5 Comparison of linear and non-linear regression analysis of changes in sex difference for freestyle and breaststroke swimmers at national 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

10.02

0

23.45

linear

undetermined

21.71

1.92 e-5

99.99%

Swiss swimmers

linear

17.49

16

1.73

100 m breaststroke

polynomial

2.78

0

0.40

linear

linear

13.75

0.0010

99.89%

Swiss swimmers

linear

7.56

16

−13.35

200 m breaststroke

polynomial

3.80

0

6.03

linear

undetermined

22.42

1.34 e-5

99.99%

Swiss swimmers

linear

6.38

18

−16.39

50 m freestyle

polynomial

7.20

0

17.51

linear

undetermined

24.94

3.83 e-6

99.99%

Swiss swimmers

linear

10.51

16

−7.42

100 m freestyle

polynomial

3.93

13

−16.30

linear

linear

1.30

0.34

65.7%

Swiss swimmers

linear

5.97

16

−17.61

200 m freestyle

polynomial

1.90

0

−6.42

linear

undetermined

18.32

0.00010

99.98%

Swiss swimmers

linear

4.01

16

−24.74

  1. The changes were linear for all distances.