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Multiway covariates regression models

โœ Scribed by Age K. Smilde; Henk A. L. Kiers


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
125 KB
Volume
13
Category
Article
ISSN
0886-9383

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โœฆ Synopsis


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.


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