Title
On a partial least squares regression model for asymmetric data with a chemical application in mining
Date Issued
15 July 2019
Access level
metadata only access
Resource Type
journal article
Author(s)
Huerta M.
Leiva V.
Liu S.
Rodríguez M.
Universidad Nacional Experimental de los Llanos Occidentales Ezequiel Zamora
Publisher(s)
Elsevier B.V.
Abstract
In chemometrical applications, covariates in regression models are often correlated, causing a collinearity problem that can be solved by partial least squares (PLS)regression. In addition, high dimensionality in the space of covariates is also a problem with more parameters than cases, a phenomenon usually found in chemical spectral data that can also be solved by PLS regression. The Birnbaum-Saunders distribution has theoretical justifications for modeling chemical data. In this paper, a new methodology based on PLS regression models is proposed considering a reparameterized Birnbaum-Saunders (RBS)distribution for the response, which is useful for describing asymmetric data frequently found in chemical phenomena. We estimate the RBS-PLS model parameters using the maximum likelihood method. A bootstrap approach is employed to obtain the optimal number of PLS components. Quantile residuals and Cook and Mahalanobis type distances are utilized for detecting possible anomalies in the modeling. We conduct perturbation studies to assess the performance of these diagnostic tools. The proposed methodology is applied to real-world kaolinite data and compared to other competing models. This provides a useful illustration of chemical analysis in the mining industry.
Start page
55
End page
68
Volume
190
Language
English
OCDE Knowledge area
Mineralogía
Scopus EID
2-s2.0-85066243590
Source
Chemometrics and Intelligent Laboratory Systems
Resource of which it is part
Chemometrics and Intelligent Laboratory Systems
ISSN of the container
01697439
Source funding
Fondo Nacional de Desarrollo Científico y Tecnológico
Sponsor(s)
The authors would like to thank the editors and four reviewers very much for their constructive comments on an earlier version of this manuscript which resulted in this improved version. This research was supported partially by grant “ Fondecyt 1160868 ” from the National Commission for Scientific and Technological Research of the Chilean government .
Sources of information: Directorio de Producción Científica Scopus