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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