Estimating the covariance matrix of the coefficient estimator in multivariate partial least squares regression with chemical applications

José L. Martínez, Víctor Leiva, Helton Saulo, Shuangzhe Liu

Research output: Contribution to journalArticlepeer-review

Abstract

The partial least squares (PLS) regression is a statistical learning technique which solves the problems of collinearity and/or high-dimensionality in the space of covariates. In this paper, we propose a new estimator for the covariance matrix of the estimator of the regression coefficients in the multivariate PLS model. This new estimator is simple to be calculated and with a low computational cost. We conduct a Monte Carlo simulation study to assess the performance of our proposed estimator. Then, we apply our results to analyze a multivariate real chemical data set. These numerical results show the good performance of our proposal.
Original languageEnglish
Pages (from-to)1-8
Number of pages8
JournalChemometrics and Intelligent Laboratory Systems
Volume214
DOIs
Publication statusPublished - 2021

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