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Table 2 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male freestyle 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 freestyle

polynomial

0.0067

0

−108.11

linear

undetermined

29.06

4.87 e-07

100%

male Swiss swimmers

linear

0.0077

16

−137.18

100 m freestyle

polynomial

0.0002

2

−45.86

linear

linear

21.05

2.67 e-05

99.99%

male Swiss swimmers

linear

0.0013

6

−66.92

200 m freestyle

polynomial

0.0015

0

−134.90

linear

linear

32.22

1.005 e-07

100%

male Swiss swimmers

linear

0.0014

16

−167.13

50 m freestyle

polynomial

0.0016

0

−132.88

linear

undetermined

27.20

1.23 e-06

99.99%

female Swiss swimmers

linear

0.0021

16

−160.08

100 m freestyle

polynomial

0.0027

0

−124.34

linear

undetermined

28.91

5.26 e-07

99.99%

female Swiss swimmers

linear

0.0031

16

−153.25

200 m freestyle

polynomial

0.0006

0

−152.27

linear

undetermined

14.68

0.00064

99.93%

female Swiss swimmers

linear

0.0014

16

−166.95

  1. For all distances, the changes were linear.