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Table 3 Comparison of linear and non-linear regression analysis of changes in sex differences 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’?

Sex difference

Kind of regression

Sum of Squares

DOF

AICC

Best regression AIC-test

Best regression F-test

Delta

Probability

Likelihood

Annual fastest

Polynomial

3878.5

35

198.2

Linear

Linear

4.7

0.08

91.6%

Linear

4364.0

39

193.4

Annual three fastest

Polynomial

981.6

15

160.6

Linear

Linear

41.6

9.0 e-10

100%

Linear

1474.6

28

118.9

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