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Table 5 Comparison of linear and non-linear regression analysis of changes in sex differences across years in the annual fastest and the annual ten fastest to determine which model is the best

From: Will women outrun men in ultra-marathon road races from 50 km to 1,000 km?

Sex difference Kind of regression Sum of squares DOF AICc Best regression Best regression Delta Probability Likelihood
AIC-Test F-Test
Annual fastest 50 km Polynomial 444.34 28 95.23 Polynomial Polynomial 35.10 2.38 e-08 100%
Linear 1606.07 31 130.33
Annual fastest 100 km Polynomial 728.25 41 136.02 Polynomial Polynomial 42.52 5.82 e-10 100%
Linear 2132.06 44 178.55
Annual fastest 200 km Polynomial 77.27 4 30.14 Linear Linear 3.64 0.13 86.1%
Linear 157.23 6 26.49
Annual fastest 1,000 km Polynomial 291.95 0 42.77 Linear Undetermined 7.02 0.028 97.1%
Linear 500.11 6 35.74
Annual ten fastest 50 km Polynomial 181.77 19 62.75 Polynomial Polynomial 5.57 0.058 94.2%
Linear 352.50 23 68.32
Annual ten fastest 100 km Polynomial 255.72 30 82.58 Polynomial Polynomial 28.31 7.08 e-07 99.9%
Linear 738.96 34 110.9