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Table 3 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male breast stroke 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

0.00042

1

−9.35

linear

linear

35.83

1.65 e-08

100%

male FINA finalists

linear

0.00190

4

−45.19

100 m breaststroke

polynomial

0.00035

2

−40.28

linear

linear

23.83

6.66 e-06

99.99%

male FINA finalists

linear

0.00180

6

−64.12

200 m breaststroke

polynomial

0.00014

2

−47.16

linear

linear

23.19

9.18 e-06

99.99%

male FINA finalists

linear

0.00086

6

−70.35

50 m breaststroke

polynomial

0.00027

0

−49.89

linear

undetermined

1.51

0.31

68.04%

female FINA finalists

linear

0.00069

4

−51.41

100 m breaststroke

polynomial

0.00034

2

−40.31

linear

linear

30.66

2.19 e-07

100%

female FINA finalists

linear

0.00080

6

−70.97

200 m breaststroke

polynomial

8.76 e-05

2

−51.37

linear

linear

18.04

0.00012

99.98%

female FINA finalists

linear

0.00097

6

−69.41

  1. For all distances, the changes were linear.