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Table 1 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male breast stroke 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

0.0035

12

−138.34

linear

linear

2.80

0.19

80.3%

male Swiss swimmers

linear

0.0062

16

−141.15

100 m breaststroke

polynomial

0.0009

0

−144.16

linear

undetermined

5.72

0.054

94.6%

male Swiss swimmers

linear

0.0038

16

−149.88

200 m breaststroke

polynomial

0.0011

0

−139.69

linear

undetermined

13.48

0.0011

99.88%

male Swiss swimmers

linear

0.0032

16

−153.17

50 m breaststroke

polynomial

0.0011

0

−140.12

linear

undetermined

6.62

0.035

96.5%

female Swiss swimmers

linear

0.0045

16

−146.74

100 m breaststroke

polynomial

0.0018

0

−131.76

linear

undetermined

29.91

3.19 e−07

100%

female Swiss swimmers

linear

0.0019

16

−161.67

200 m breaststroke

polynomial

0.0014

0

−135.81

linear

undetermined

22.41

1.35 e-05

99.99%

female Swiss swimmers

linear

0.0024

16

−158.22

  1. For all distances, the changes in swimming speed were linear.