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Table 1 Multi-level regression analyses for changes in running speeds across years for the annual fastest and the annual ten fastest female and male runners (Model 1) with correction for multiple finishes (Model 2) and with correction for multiple finishes and age of athletes with multiple finishes (Model 3)

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

Distance Model β SE ( β) Stand. β T P
Annual fastest men
50 km 1 0.118 0.027 0.614 4.333 < 0.0001
2 0.118 0.027 0.614 4.333 < 0.0001
3 0.105 0.028 0.547 3.816 < 0.0001
100 km 1 0.077 0.014 0.640 5.705 < 0.0001
2 0.077 0.014 0.640 5.705 < 0.0001
3 0.084 0.014 0.696 5.953 < 0.0001
200 km 1 -0.125 0.046 -0.742 -2.711 0.035
2 -0.125 0.046 -0.742 -2.711 0.035
3 -0.125 0.050 -0.741 -2.469 0.057
1,000 km 1 -0.011 0.015 -0.181 -0.711 0.488
2 -0.011 0.015 -0.181 -0.711 0.488
3 -0.013 0.016 -0.217 -0.822 0.425
Annual fastest women
50 km 1 0.188 0.020 0.857 9.246 < 0.0001
2 0.188 0.020 0.857 9.246 < 0.0001
3 0.191 0.024 0.870 7.867 < 0.0001
100 km 1 0.101 0.013 0.780 8.068 < 0.0001
2 0.101 0.013 0.780 8.068 < 0.0001
3 0.095 0.009 0.728 10.850 < 0.0001
200 km 1 -0.166 0.045 -0.878 -3.663 0.022
2 -0.166 0.045 -0.878 -3.663 0.022
3 -0.168 0.062 -0.892 -2.701 0.074
1,000 km 1 -0.042 0.021 -0.580 -2.016 0.079
2 -0.042 0.021 -0.580 -2.016 0.079
3 -0.046 0.022 -0.636 -2.084 0.076
Annual ten fastest men
50 km 1 0.155 0.009 0.707 18.123 < 0.0001
2 0.155 0.009 0.707 18.123 < 0.0001
3 0.145 0.009 0.663 16.966 < 0.0001
100 km 1 0.063 0.003 0.656 18.195 < 0.0001
2 0.063 0.003 0.656 18.195 < 0.0001
3 0.063 0.003 0.663 18.365 < 0.0001
200 km 1 0.007 0.069 0.013 0.102 0.919
2 0.007 0.069 0.013 0.102 0.919
3 0.036 0.069 0.068 0.517 0.607
1,000 km 1 -0.027 0.014 -0.334 -1.877 0.071
2 -0.027 0.014 -0.334 -1.877 0.071
3 -0.026 0.015 -0.321 -1.759 0.090
Annual ten fastest women
50 km 1 0.176 0.008 0.822 22.702 < 0.0001
2 0.176 0.008 0.822 22.702 < 0.0001
3 0.178 0.008 0.828 22.229 < 0.0001
100 km 1 0.091 0.005 0.670 16.845 < 0.0001
2 0.091 0.005 0.670 16.845 < 0.0001
3 0.091 0.005 0.672 17.598 < 0.0001