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Double restricted Co‐Inertia Analysis
Author(s) -
Amenta Pietro
Publication year - 2007
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.1089
Subject(s) - inertia , extension (predicate logic) , mathematics , eigenvalues and eigenvectors , function (biology) , rewriting , block (permutation group theory) , computer science , combinatorics , physics , classical mechanics , quantum mechanics , evolutionary biology , biology , programming language
In this paper, an extension of the Co‐Inertia Analysis 1 is proposed. This extension is based on an objective function which takes directly into account the external information, as linear restrictions, about parameters of both sets of variables, by rewriting the Co‐Inertia Analysis objective function according to the principle of Restricted Eigenvalue Problem 2. A restricted extension of Wold's two‐block ‘Mode A’ Partial Least Squares 3 is also proposed. Copyright © 2007 John Wiley & Sons, Ltd.