Volume 2, Issue 3 p. 211-228
Original Research Article

PLS regression methods

Agnar Höskuldsson

Agnar Höskuldsson

The Engineering Academy of Denmark, DIAM, Building 358, 2800 Lyngby, Denmark

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First published: June 1988
Citations: 1,438

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.