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Original Research Article
PLS regression methods
Article first published online: 30 MAR 2005
DOI: 10.1002/cem.1180020306
Copyright © 1988 John Wiley & Sons, Ltd.
1099-128X/asset/cover.gif?v=1&s=2e3045c3733baa4258989f44bd61b29dd74ee736 "Journal of Chemometrics")
Additional Information
How to Cite
Höskuldsson, A. (1988), PLS regression methods. J. Chemometrics, 2: 211–228. doi: 10.1002/cem.1180020306
Publication History
- Issue published online: 30 MAR 2005
- Article first published online: 30 MAR 2005
- Manuscript Revised: 20 NOV 1987
- Manuscript Received: 25 AUG 1987
- Abstract
- References
- Cited By
Keywords:
- Partial least squares;
- Component regression;
- Model building;
- Covariance decomposition
Abstract
In this paper we develop the mathematical and statistical structure of PLS regression. We show the PLS regression algorithm and how it can be interpreted in model building. The basic mathematical principles that lie behind two block PLS are depicted. We also show the statistical aspects of the PLS method when it is used for model building. Finally we show the structure of the PLS decompositions of the data matrices involved.