Premium
Multiway covariates regression models
Author(s) -
Smilde Age K.,
Kiers Henk A. L.
Publication year - 1999
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/(sici)1099-128x(199901/02)13:1<31::aid-cem528>3.0.co;2-p
Subject(s) - covariate , regression , regression analysis , statistics , factor regression model , computer science , econometrics , mathematics , proper linear model , bayesian multivariate linear regression
An abundance of methods exist to regress a y variable on a set of x variables collected in a matrix X . In the chemical sciences a growing number of problems translate into arrays of measurements X and Y , where X and Y are three‐way arrays or multiway arrays. In this paper a general model is described for regressing such a multiway Y on a multiway X , while taking into account three‐way structures in X and Y . A global least squares optimization problem is formulated to estimate the parameters of the model. The model is described and illustrated with a real industrial example from batch process operation. An algorithm is given in an appendix. Copyright © 1999 John Wiley & Sons, Ltd.