PLS regression methods

1988/06/01 by Agnar Höskuldsson · 7 citations
Chemistry · Environmental Science · Mathematics · #Advanced Statistical Methods and Models #Artificial intelligence #Block (permutation group theory) #Computer science #Linear regression #Mathematics #Partial least squares regression #Pattern recognition (psychology) #Regression #Regression analysis #Spectroscopy and Chemometric Analyses #Statistical analysis #Statistics #Water Quality Monitoring and Analysis

paper · doi:10.1002/cem.1180020306

openalex publication_date 1988/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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.

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