Table 3.

The $p$-values (nonbold) signify significant improvement in $E_{\mathrm{p}}$, MSE, or $R^2$ using the method in the row over the method in the column. The $p$-values in bold, on the other hand, show superiority of the method in the column over the method in the row. All $p$-values are corrected for multiple comparisons.

(a) Dataset I
Ep MSE Corr	Spline-SG	Spline-Rloess	tPCA-SG	SG	Rloess	Wavelet	tPCA	CBSI	Spline	No-correction
Spline-SG	—	$<\mathbf{0.01}$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	$<\mathbf{0.01}$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	$<\mathbf{0.01}$	$<0.01$	$<0.01$	—	$<0.01$	$<0.01$	—	$<0.01$	$<0.01$
Spline-Rloess	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	$<0.01$	$<0.01$	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
tPCA-SG	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	$<\mathbf{0.01}$	—	$<0.01$	$<\mathbf{0.01}$	—	$<0.01$
SG	—	—	—	—	$<\mathbf{0.01}$	$<\mathbf{0.01}$	$<\mathbf{0.01}$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	$<\mathbf{0.01}$	—	$<\mathbf{0.01}$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	$<\mathbf{0.01}$	—	$<0.01$	$<\mathbf{0.01}$	$<0.01$	$<0.01$
Rloess	—	—	—	—	—	$<\mathbf{0.01}$	—	$<0.01$	—	$<0.01$
	—	—	—	—	—	—	—	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
(b) Dataset II
Ep MSE Corr	Spline-SG	Spline-Rloess	tPCA-SG	SG	Rloess	Wavelet	tPCA	CBSI	Spline	No-correction
Spline-SG	—	$<0.01$	$<0.01$	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	$<0.01$	$<0.01$	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<\mathbf{0.01}$	$<0.01$	$<0.01$
Spline-Rloess	—	—	$<0.01$	$<0.01$	$<0.01$	$<\mathbf{0.01}$	$<0.01$	—	$<0.01$	$<0.01$
	—	—	$<0.01$	$<0.01$	$<0.01$	—	$<0.01$	—	$<0.01$	$<0.01$
	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<\mathbf{0.01}$	$<0.01$	$<0.01$
tPCA-SG	—	—	—	$<0.01$	$<0.01$	—	$<0.01$	—	$<0.01$	$<0.01$
	—	—	—	$<0.01$	$<0.01$	—	$<0.01$	—	$<0.01$	$<0.01$
	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<\mathbf{0.01}$	$<0.01$	$<0.01$
SG	—	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$	$<0.01$
	—	—	—	—	$<0.01$	$<0.01$	$<0.01$	$<\mathbf{0.01}$	$<0.01$	$<0.01$
Rloess	—	—	—	—	—	$<\mathbf{0.01}$	—	$<\mathbf{0.01}$	—	—
	—	—	—	—	—	$<\mathbf{0.01}$	—	$<\mathbf{0.01}$	—	—
	—	—	—	—	—	$<\mathbf{0.01}$	$<0.01$	$<\mathbf{0.01}$	—	—