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Table 5 Comparison of linear and non-linear regression analysis of changes in sex difference for freestyle and breaststroke 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 10.02 0 23.45 linear undetermined 21.71 1.92 e-5 99.99%
Swiss swimmers linear 17.49 16 1.73
100 m breaststroke polynomial 2.78 0 0.40 linear linear 13.75 0.0010 99.89%
Swiss swimmers linear 7.56 16 −13.35
200 m breaststroke polynomial 3.80 0 6.03 linear undetermined 22.42 1.34 e-5 99.99%
Swiss swimmers linear 6.38 18 −16.39
50 m freestyle polynomial 7.20 0 17.51 linear undetermined 24.94 3.83 e-6 99.99%
Swiss swimmers linear 10.51 16 −7.42
100 m freestyle polynomial 3.93 13 −16.30 linear linear 1.30 0.34 65.7%
Swiss swimmers linear 5.97 16 −17.61
200 m freestyle polynomial 1.90 0 −6.42 linear undetermined 18.32 0.00010 99.98%
Swiss swimmers linear 4.01 16 −24.74
  1. The changes were linear for all distances.