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Table 1 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male breast stroke swimmers at national level across years to determine which model is the best

From: Changes in breaststroke swimming performances in national and international athletes competing between 1994 and 2011 –a comparison with freestyle swimming performances

  Kind of regression Sum of Squares DOF AICC Best regression AIC-Test Best regression F-Test Delta Probability Likelihood
50 m breaststroke polynomial 0.0035 12 −138.34 linear linear 2.80 0.19 80.3%
male Swiss swimmers linear 0.0062 16 −141.15
100 m breaststroke polynomial 0.0009 0 −144.16 linear undetermined 5.72 0.054 94.6%
male Swiss swimmers linear 0.0038 16 −149.88
200 m breaststroke polynomial 0.0011 0 −139.69 linear undetermined 13.48 0.0011 99.88%
male Swiss swimmers linear 0.0032 16 −153.17
50 m breaststroke polynomial 0.0011 0 −140.12 linear undetermined 6.62 0.035 96.5%
female Swiss swimmers linear 0.0045 16 −146.74
100 m breaststroke polynomial 0.0018 0 −131.76 linear undetermined 29.91 3.19 e−07 100%
female Swiss swimmers linear 0.0019 16 −161.67
200 m breaststroke polynomial 0.0014 0 −135.81 linear undetermined 22.41 1.35 e-05 99.99%
female Swiss swimmers linear 0.0024 16 −158.22
  1. For all distances, the changes in swimming speed were linear.