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Table 4 Comparison of linear and non-linear regression analysis of changes in swimming speed for female and male freestyle 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 freestyle polynomial 0.00061 2 −35.82 linear linear 23.53 7.76 e-06 99.99%
male FINA finalists linear 0.00340 6 −59.35
100 m freestyle polynomial 0.00017 2 −45.86 linear linear 32.22 1.005 e−07 100%
male FINA finalists linear 0.00130 6 −66.92
200 m freestyle polynomial 0.00020 2 −44.73 linear linear 23.55 7.69 e-06 99.99%
male FINA finalists linear 0.00110 6 −68.28
50 m freestyle polynomial 0.00039 2 −39.26 linear linear 18.46 9.76 e-05 99.99%
female FINA finalists linear 0.00420 6 −57.73
100 m freestyle polynomial 0.00019 2 −44.78 linear linear 22.05 1.62 e-05 99.99%
female FINA finalists linear 0.00130 6 −66.84
200 m freestyle polynomial 1.58 e-05 2 −65.03 linear polynomial 1.24 0.34 65.08%
female FINA finalists linear 0.00140 6 −66.27
  1. The changes were linear for all distances.