Skip to main content

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