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PLS-regression: a basic tool of chemometrics
Umeå University, Faculty of Science and Technology, Department of Chemistry. (Research Group for Chemometrics)
Umeå University, Faculty of Science and Technology, Department of Chemistry.
2001 (English)In: Chemometrics and Intelligent Laboratory Systems, Vol. 58, no 2, 109-30 p.Article in journal (Refereed) Published
Abstract [en]

PLS-regression (PLSR) is the PLS approach in its simplest, and in chemistry and technology, most used form (two-block predictive PLS). PLSR is a method for relating two data matrices, X and Y, by a linear multivariate model, but goes beyond traditional regression in that it models also the structure of X and Y. PLSR derives its usefulness from its ability to analyze data with many, noisy, collinear, and even incomplete variables in both X and Y. PLSR has the desirable property that the precision of the model parameters improves with the increasing number of relevant variables and observations.This article reviews PLSR as it has developed to become a standard tool in chemometrics and used in chemistry and engineering. The underlying model and its assumptions are discussed, and commonly used diagnostics are reviewed together with the interpretation of resulting parameters.Two examples are used as illustrations: First, a Quantitative Structure-Activity Relationship (QSAR)/Quantitative Structure-Property Relationship (QSPR) data set of peptides is used to outline how to develop, interpret and refine a PLSR model. Second, a data set from the manufacturing of recycled paper is analyzed to illustrate time series modelling of process data by means of PLSR and time-lagged X-variables.

Place, publisher, year, edition, pages
2001. Vol. 58, no 2, 109-30 p.
Keyword [en]
PLS, PLSR, Two-block predictive PLS, Latent variables, Multivariate analysis
URN: urn:nbn:se:umu:diva-9141DOI: 10.1016/S0169-7439(01)00155-1OAI: diva2:148812
Available from: 2008-03-04 Created: 2008-03-04 Last updated: 2013-02-28Bibliographically approved

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Wold, SvanteSjöström, Michael
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