2000Journal of the Royal Statistical Society Series B (Statistical Methodology)Open access

The Peculiar Shrinkage Properties of Partial Least Squares Regression

Neil A. Butler, Michael C. Denham

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Abstract

Summary Partial least squares regression has been widely adopted within some areas as a useful alternative to ordinary least squares regression in the manner of other shrinkage methods such as principal components regression and ridge regression. In this paper we examine the nature of this shrinkage and demonstrate that partial least squares regression exhibits some undesirable properties.

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Summary Partial least squares regression has been widely adopted within some areas as a useful alternative to ordinary least squares regression in the manner of other shrinkage methods such as principal components regression and ridge regression. In this paper we examine the nature of this shrinkage and demonstrate that partial least squares regression exhibits some undesirable properties.

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Available abstract

Summary Partial least squares regression has been widely adopted within some areas as a useful alternative to ordinary least squares regression in the manner of other shrinkage methods such as principal components regression and ridge regression. In this paper we examine the nature of this shrinkage and demonstrate that partial least squares regression exhibits some undesirable properties.

Key concepts: Partial least squares regression, Shrinkage, Principal component regression, Regression, Ordinary least squares, Regression analysis, Total least squares, Statistics

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