Table 6.
Comparison of linear and non-linear regression analysis of changes in sex difference across years to determine which model is the best
| 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 |