Table 2.

Wilcoxon rank sum test—pairwise comparisons of $MS{E}^{\left(i\right)}$ and ${\overline{R}}^2{}^{\left(i\right)}$.

		${\mathit{MSE}}^{\left(\mathit{i}\right)}$			${\overline{\mathit{R}}}^2\left(\mathit{i}\right)$
Filter	Pair	Z	Sig.	Best Model	Z	Sig.	Best Model
none	log–exp	−12.76	0.000	Exponential	−13.77	0.000	Exponential
	pow–exp	−4.90	0.000	Power	−5.47	0.000	Power
	pow–log	−16.28	0.000	Power	−15.78	0.000	Power
quartile = 1	log–exp	−6.98	0.000	Exponential	−6.35	0.000	Exponential
	pow–exp	−1.50	0.133	—	−0.73	0.469	—
	pow–log	−7.62	0.000	Power	−6.89	0.000	Power
quartile = 2	log–exp	−6.13	0.000	Exponential	−7.10	0.000	Exponential
	pow–exp	−2.36	0.018	Power	−2.44	0.015	Power
	pow–log	−8.10	0.000	Power	−7.78	0.000	Power
quartile = 3	log–exp	-6.61	0.000	Exponential	−7.37	0.000	Exponential
	pow–exp	−2.59	0.010	Power	−3.32	0.001	Power
	pow–log	−8.33	0.000	Power	−8.24	0.000	Power
quartile = 4	log–exp	−6.10	0.000	Exponential	−6.73	0.000	Exponential
	pow–exp	−3.13	0.002	Power	−3.84	0.000	Power
	pow–log	−8.55	0.000	Power	−8.47	0.000	Power