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. 2014 Feb 22;6:7. doi: 10.1186/2052-1847-6-7

Table 4.

Comparison of linear and non-linear regression analysis of changes in swimming speed across years to determine which model is the best

Swimming speed Kind of regression Sum of squares DOF AICc Best regression AIC-Test Best regression F-Test Delta Probability Likelihood
Annual fastest men 5 km
 Polynomial
 0.26
 5
 -16.81
 Linear
 Linear
 20.03
 4.4 e-05
 99.9%
Linear
 0.45
 10
 -36.85
Annual fastest women 5 km
 Polynomial
 0.33
 0
 -21.12
 Linear
 Undetermined
 16.50
 0.00026
 99.9%
Linear
 0.42
 10
 -37.63
Annual fastest men 10 km
 Polynomial
 0.21
 5
 -21.46
 Linear
 Linear
 11.26
 0.0035
 99.6%
Linear
 0.44
 9
 -32.72
Annual fastest women 10 km
 Polynomial
 0.064
 0
 -36.51
 Polynomial
 Undetermined
 6.81
 0.032
 96.7%
Linear
 0.59
 9
 -29.70
Annual fastest men 25 km
 Polynomial
 0.98
 0
 -7.99
 Linear
 Undetermined
 17.78
 0.00013
 99.9%
Linear
 1.14
 10
 -25.77
Annual fastest women 25 km
 Polynomial
 0.49
 0
 -16.20
 Linear
 Undetermined
 15.16
 0.00050
 99.9%
Linear
 0.71
 10
 -31.37
Annual 10 fastest men 5 km
 Polynomial
 0.31
 0
 -21.52
 Linear
 Undetermined
 11.17
 0.0037
 99.6%
Linear
 0.64
 10
 -32.69
Annual 10 fastest women 5 km
 Polynomial
 0.26
 5
 -16.95
 Linear
 Linear
 22.44
 1.33 e-05
 99.9%
Linear
 0.36
 10
 -39.39
Annual 10 fastest men 10 km
 Polynomial
 0.15
 0
 -26.60
 Linear
 Undetermined
 6.11
 0.044
 95.5%
Linear
 0.44
 9
 -32.71
Annual 10 fastest women 10 km
 Polynomial
 0.12
 4
 -16.10
 Linear
 Linear
 12.82
 0.0016
 99.8%
Linear
 0.63
 9
 -28.93
Annual 10 fastest men 25 km
 Polynomial
 1.80
 0
 -0.72
 Linear
 Undetermined
 16.52
 0.00025
 99.9%
Linear
 2.33
 10
 -17.24
Annual 10 fastest women 25 km Polynomial
 0.78
 0
 -10.66
 Linear Linear 20.74 3.12 e-05 99.9%
Linear 0.71 10 -31.41