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