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Quadratic PLS regression
Author(s) -
Höskuldsson Agnar
Publication year - 1992
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/cem.1180060603
Subject(s) - linear regression , regression analysis , quadratic equation , regression , polynomial regression , extension (predicate logic) , mathematics , partial least squares regression , proper linear model , computer science , statistics , geometry , programming language
We treat here an extension of linear PLS regression to include regression on quadratic PLS components. The quadratic regression can be viewed as a natural extention of linear PLS regression to quadratic PLS according to the H‐principle of mathematical modelling. The numerical implementation is treated in detail. It is shown that this approach can be used for models with large numbers of variables. Some modelling strategies are discussed depending on the purpose of the modelling. Applications of this approach are treated.