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A road map for multi-way calibration models

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Abstract

A large number of experimental applications of multi-way calibration are known, and a variety of chemometric models are available for the processing of multi-way data. While the main focus has been directed towards three-way data, due to the availability of various instrumental matrix measurements, a growing number of reports are being produced on order signals of increasing complexity. The purpose of this review is to present a general scheme for selecting the appropriate data processing model, according to the properties exhibited by the multi-way data. In spite of the complexity of the multi-way instrumental measurements, simple criteria can be proposed for model selection, based on the presence and number of the so-called multi-linearity breaking modes (instrumental modes that break the low-rank multi-linearity of the multi-way arrays), and also on the existence of mutually dependent instrumental modes. Recent literature reports on multi-way calibration are reviewed, with emphasis on the models that were selected for data processing.

Graphical abstract: A road map for multi-way calibration models

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Publication details

The article was received on 17 May 2017, accepted on 27 Jun 2017 and first published on 28 Jun 2017


Article type: Critical Review
DOI: 10.1039/C7AN00822H
Citation: Analyst, 2017, Advance Article
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    A road map for multi-way calibration models

    G. M. Escandar and A. C. Olivieri, Analyst, 2017, Advance Article , DOI: 10.1039/C7AN00822H

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