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ERIC Number: EJ945605
Record Type: Journal
Publication Date: 2011-Oct
Pages: 14
Abstractor: As Provided
Reference Count: 22
ISSN: ISSN-0033-3123
Picture of All Solutions of Successive 2-Block Maxbet Problems
Choulakian, Vartan
Psychometrika, v76 n4 p550-563 Oct 2011
The Maxbet method is a generalized principal components analysis of a data set, where the group structure of the variables is taken into account. Similarly, 3-block[12,13] partial Maxdiff method is a generalization of covariance analysis, where only the covariances between blocks (1, 2) and (1, 3) are taken into account. The aim of this paper is to give the global maximum for the 2-block Maxbet and 3-block[12,13] partial Maxdiff problems by picking the best solution from the complete solution set for the multivariate eigenvalue problem involved. To do this, we generalize the characteristic polynomial of a matrix to a system of two characteristic polynomials, and provide the complete solution set of the latter via Sylvester resultants. Examples are provided. (Contains 2 tables.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A