Rg. Brereton et al., USE OF EIGENVALUES FOR DETERMINING THE NUMBER OF COMPONENTS IN WINDOWFACTOR-ANALYSIS OF SPECTROSCOPIC AND CHROMATOGRAPHIC DATA, Chemometrics and intelligent laboratory systems, 27(1), 1995, pp. 73-87
Three methods for determining eigenvalues, namely (I) mean-centred seq
uential scores, (2) mean-centred sequential loadings and (3) uncentred
data, are described, and compared on simulations and real data of two
-way data matrices. The sequential direction may be time (high-perform
ance liquid chromatography (HPLC)) or wavelength (infrared spectroscop
y (IR)), with the non-sequential direction wavelength (HPLC) or sample
number (IR). It is shown that method 1 is very dependent on peak shap
es. Method 2 works well except when there is low Variability in the no
n-sequential direction. Method 3 performs poorly in the presence of he
teroscedastic noise. It is concluded that standard statistical approac
hes for eigenanalysis must be used with caution in chemometric methods
for window factor analysis (WFA).