Skip to main content

Table 6 Comparison of linear and non-linear regression analysis of changes in sex difference for freestyle and breaststroke 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 0.037 1 17.53 linear linear 23.80 6.75 e-6 99.99%
FINA finalists linear 1.27 4 −6.26
100 m breaststroke polynomial 0.17 2 9.28 linear linear 15.80 0.00036 99.96%
FINA finalists linear 2.53 6 −6.51
200 m breaststroke polynomial 0.21 3 −7.73 linear linear 3.24 0.16 83.5%
FINA finalists linear 1.45 6 −10.98
50 m freestyle polynomial 0.16 2 9.13 linear linear 20.57 3.41 e-5 99.99%
FINA finalists linear 1.37 6 −11.44
100 m freestyle polynomial 0.56 0 −7.19 linear undetermined 3.61 0.14 85.9%
FINA finalists linear 1.48 6 −10.81
200 m freestyle polynomial 0.60 0 −6.60 linear undetermined 6.38 0.039 96.1%
FINA finalists linear 1.13 6 −12.98
  1. The changes were all linear.