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Table 3 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male breast stroke swimmers at international 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 0.00042 1 −9.35 linear linear 35.83 1.65 e-08 100%
male FINA finalists linear 0.00190 4 −45.19
100 m breaststroke polynomial 0.00035 2 −40.28 linear linear 23.83 6.66 e-06 99.99%
male FINA finalists linear 0.00180 6 −64.12
200 m breaststroke polynomial 0.00014 2 −47.16 linear linear 23.19 9.18 e-06 99.99%
male FINA finalists linear 0.00086 6 −70.35
50 m breaststroke polynomial 0.00027 0 −49.89 linear undetermined 1.51 0.31 68.04%
female FINA finalists linear 0.00069 4 −51.41
100 m breaststroke polynomial 0.00034 2 −40.31 linear linear 30.66 2.19 e-07 100%
female FINA finalists linear 0.00080 6 −70.97
200 m breaststroke polynomial 8.76 e-05 2 −51.37 linear linear 18.04 0.00012 99.98%
female FINA finalists linear 0.00097 6 −69.41
  1. For all distances, the changes were linear.