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Table 1 Multi-level regression analyses for the changes in running speed of the annual ten fastest female and male age group finishers across years in 100 km and 100 miles after correction for multiple finishes and age of athletes with multiple finishes

From: Age group performances in 100 km and 100 miles ultra-marathons

 

ß

p

Trend of the change across years

100 km women

   

25–29 years

0.015

0.167

no change

30–34 years

0.070

< 0.001

non-linear polynomial regression 5th degree

35–39 years

0.051

< 0.001

non-linear polynomial regression 5th degree

40–44 years

0.056

< 0.001

non-linear polynomial regression 5th degree

45–49 years

0.031

< 0.001

non-linear polynomial regression 4th degree

50–54 years

0.027

< 0.001

non-linear polynomial regression 5th degree

55–59 years

0.098

< 0.001

non-linear polynomial regression 3rd degree

60–64 years

0.098

< 0.001

linear

100 km men

   

18–24 years

0.056

< 0.001

non-linear polynomial regression 5th degree

25–29 years

0.085

< 0.001

non-linear polynomial regression 6th degree

30–34 years

0.068

< 0.001

non-linear polynomial regression 4th degree

35–39 years

0.077

< 0.001

non-linear polynomial regression 4th degree

40–44 years

0.089

< 0.001

non-linear polynomial regression 4th degree

45–49 years

0.092

< 0.001

non-linear polynomial regression 4th degree

50–54 years

0.092

< 0.001

non-linear polynomial regression 4th degree

55–59 years

0.076

< 0.001

non-linear polynomial regression 4th degree

60–64 years

0.041

< 0.001

non-linear polynomial regression 4th degree

65–69 years

0.104

< 0.001

linear

70–74 years

0.088

< 0.001

linear

75–79 years

0.107

< 0.001

linear

100 miles women

   

25–29 years

0.175

< 0.001

linear

30–34 years

0.090

< 0.001

linear

35–39 years

0.091

< 0.001

non-linear polynomial regression 3rd degree

40–44 years

0.074

< 0.001

non-linear polynomial regression 3rd degree

45–49 years

0.093

< 0.001

non-linear polynomial regression 4th degree

50–54 years

0.094

< 0.001

linear

55–59 years

0.052

0.005

linear

100 miles men

   

18–24 years

0.199

< 0.001

linear

25–29 years

0.057

< 0.001

non-linear polynomial regression 5th degree

30–34 years

0.064

< 0.001

non-linear polynomial regression 4th degree

35–39 years

0.070

< 0.001

non-linear polynomial regression 4th degree

40–44 years

0.097

< 0.001

non-linear polynomial regression 5th degree

45–49 years

0.082

< 0.001

non-linear polynomial regression 4th degree

50–54 years

0.069

< 0.001

linear

55–59 years

0.068

< 0.001

linear

60–64 years

0.051

< 0.001

linear

65–69 years

0.087

< 0.001

linear

  1. The trend of the regression (linear or non-linear) is also inserted.