Multiway Data Analysis: Eigenvector-Based Methods

Qualitative and quantitative analysis of Teucrium polium essential oil components by GC–MS coupled with MCR and PARAFAC methods

“…X 2 to X 5 ) were generated in the same way. Assuming that the three‐dimensional data exhibit a sufficiently trilinear structure, the PARAFAC model was built on all cubes individually and the calculations were carried out according to Ferré et al In the PARAFAC method, the number of components of each peak cluster was determined using CORCONDIA calculation. For example, Figure shows that the number of components in the case of peak cluster 3 is equal to two.…”

Usefulness of PARAFAC for the Quantification, Identification, and Description of Analytical Data

“…[27] for the PARAFAC2 model. With this purpose, Equations (5) and (6) are rewritten by considering that the first mode is the one with equal loadings for all samples, while the second changes from sample to sample. This implies no loss of generality because it is the researcher who decides the position of each mode in the experimental data.…”

“…Monographic basic books are [1][2][3] and more theoretical ones [4,5]. Special mention deserves the three chapters devoted to the subject in the reference book Comprehensive Chemometrics [6][7][8]. A book devoted to applications about calibration with three-way data is [9].…”