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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