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Table 4 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male freestyle 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 freestyle

polynomial

0.00061

2

−35.82

linear

linear

23.53

7.76 e-06

99.99%

male FINA finalists

linear

0.00340

6

−59.35

100 m freestyle

polynomial

0.00017

2

−45.86

linear

linear

32.22

1.005 e−07

100%

male FINA finalists

linear

0.00130

6

−66.92

200 m freestyle

polynomial

0.00020

2

−44.73

linear

linear

23.55

7.69 e-06

99.99%

male FINA finalists

linear

0.00110

6

−68.28

50 m freestyle

polynomial

0.00039

2

−39.26

linear

linear

18.46

9.76 e-05

99.99%

female FINA finalists

linear

0.00420

6

−57.73

100 m freestyle

polynomial

0.00019

2

−44.78

linear

linear

22.05

1.62 e-05

99.99%

female FINA finalists

linear

0.00130

6

−66.84

200 m freestyle

polynomial

1.58 e-05

2

−65.03

linear

polynomial

1.24

0.34

65.08%

female FINA finalists

linear

0.00140

6

−66.27

  1. The changes were linear for all distances.