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Table 2 Comparison of linear and non-linear regression analysis of changes in swim time across years in the annual fastest and annual three fastest finishers to determine which model is the best

From: Will women soon outperform men in open-water ultra-distance swimming in the ‘Maratona del Golfo Capri-Napoli’?

Swim time

Kind of regression

Sum of squares

DOF

AICC

Best regression AIC-test

Best regression F-test

Delta

Probability

Likelihood

Annual fastest men

Polynomial

3120.08

42

432.8

Linear

Linear

7.5

0.02

97.8%

Linear

3237.72

46

425.2

Annual fastest women

Polynomial

1863.47

35

357.0

Linear

Polynomial

3.1

0.1

82.5%

Linear

2183.96

39

353.9

Annual three fastest men

Polynomial

3254.07

44

419.8

Linear

Linear

2.8

0.2

80.6%

Linear

3208.71

45

417.0

Annual three fastest women

Polynomial

1482.07

26

262.0

Linear

Linear

7.8

0.02

98.1%

Linear

1337.63

28

254.2

  1. For all investigated regressions, linear was the best model. DOF = degrees of freedom, AIC = Akaike information criterion.