Table 4.
Coefficients and standard errors from a multivariable regression model: ln (distance in km) = UM × Age + UM × Age2 + UM × Sex + Calendar year + Calendar year + with a random intercept for each finisher
| Coefficient | Standard error | p value | |
|---|---|---|---|
| Intercept | 17.6 | 0.31 | <0.001 |
| Ultra-marathon (UM) | |||
| UM-12 | 0.47 | 0.004 | <0.001 |
| UM-24 | 0.99 | 0.004 | <0.001 |
| UM-48 | 1.41 | 0.006 | <0.001 |
| UM-72 | 1.68 | 0.018 | <0.001 |
| UM-124 | 2.30 | 0.008 | <0.001 |
| UM-240 | 2.80 | 0.016 | <0.001 |
| Age | |||
| Linear | −0.0037 | 0.00013 | <0.001 |
| Squared | −0.00015 | 0.00001 | <0.001 |
| Sex (male) | 0.0872 | 0.0034 | <0.001 |
| Calendar year of race | −0.0068 | 0.0002 | <0.001 |
| Experience | 0.0055 | 0.0002 | <0.001 |
| Interaction UM and Age, linear | |||
| (UM-12) × Age | 0.00074 | 0.00016 | <0.001 |
| (UM-24) × Age | 0.00261 | 0.00015 | <0.001 |
| (UM-48) × Age | 0.00423 | 0.00026 | <0.001 |
| (UM-72) × Age | 0.00231 | 0.00077 | 0.003 |
| (UM-144) × Age | 0.00306 | 0.00031 | <0.001 |
| (UM-240) × Age | 0.00268 | 0.00072 | <0.001 |
| Interaction UM and Age, squared | |||
| (UM-12) × Age2 | −0.000076 | 0.000011 | <0.001 |
| (UM-24) × Age2 | −0.000081 | 0.000011 | <0.001 |
| (UM-48) × Age2 | −0.000133 | 0.000018 | <0.001 |
| (UM-72) × Age2 | −0.000147 | 0.000043 | <0.001 |
| (UM-144) × Age2 | −0.000131 | 0.000021 | <0.001 |
| (UM-240) × Age2 | −0.000234 | 0.000055 | <0.001 |
| Interaction UM and Sex | |||
| (UM-12) × Sex (male) | −0.0007 | 0.0040 | 0.870 |
| (UM-24) × Sex (male) | −0.0484 | 0.0039 | <0.001 |
| (UM-48) × Sex (male) | −0.0611 | 0.0066 | <0.001 |
| (UM-72) × Sex (male) | −0.0478 | 0.0201 | 0.017 |
| (UM-144) × Sex (male) | −0.0569 | 0.0082 | <0.001 |
| (UM-240) × Sex (male) | −0.0832 | 0.0172 | <0.001 |