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Table 6 Comparison of linear and non-linear regression analysis of changes in sex difference across years to determine which model is the best

From: Analysis of sex differences in open-water ultra-distance swimming performances in the FINA World Cup races in 5 km, 10 km and 25 km from 2000 to 2012

Sex difference

Kind of regression

Sum of squares

DOF

AICc

Best regression AIC-Test

Best regression F-Test

Delta

Probability

Likelihood

Annual fastest 5 km

Polynomial

58.22

0

40.95

Linear

Undetermined

13.80

0.0010

99.8%

Linear

94.36

10

27.14

Annual fastest 10 km

Polynomial

21.10

0

27.16

Linear

Undetermined

10.19

0.0060

99.3%

Linear

41.18

9

16.96

Annual fastest 25 km

Polynomial

80.84

0

44.89

Linear

Undetermined

13.58

0.0011

99.8%

Linear

133.50

10

31.31

Annual 10 fastest 5 km

Polynomial

81.01

0

44.91

Linear

Undetermined

14.82

0.00060

99.9%

Linear

120.58

10

30.08

Annual 10 fastest 10 km

Polynomial

8.39

0

17.02

Linear

Undetermined

2.93

0.18

81.2%

Linear

31.70

9

14.08

Annual 10 fastest 25 km

Polynomial

119.43

0

49.57

Linear

Linear

20.29

3.9 e-05

99.9%

Linear

112.67

10

29.27