The extension of component analysis to four-mode matrices

John L. Lastovicka

doi:10.1007/BF02293918

The extension of component analysis to four-mode matrices

John L. Lastovicka

Arizona State University

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

A model for four-mode component analysis is developed and presented. The developed model, which is an extension of Tucker's three-mode factor analytic model, allows for the simultaneous analysis of all modes of a four-mode data matrix and the consideration of relationships among the modes. An empirical example based upon viewer perceptions of repetitive advertising shows the four-mode model applicable to real data.

Original language	English (US)
Pages (from-to)	47-57
Number of pages	11
Journal	Psychometrika
Volume	46
Issue number	1
DOIs	https://doi.org/10.1007/BF02293918
State	Published - Mar 1 1981

Keywords

advertising
component analysis
factor analysis
four-mode models
three-mode models

ASJC Scopus subject areas

General Psychology
Applied Mathematics

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10.1007/BF02293918

Cite this

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abstract = "A model for four-mode component analysis is developed and presented. The developed model, which is an extension of Tucker's three-mode factor analytic model, allows for the simultaneous analysis of all modes of a four-mode data matrix and the consideration of relationships among the modes. An empirical example based upon viewer perceptions of repetitive advertising shows the four-mode model applicable to real data.",

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AB - A model for four-mode component analysis is developed and presented. The developed model, which is an extension of Tucker's three-mode factor analytic model, allows for the simultaneous analysis of all modes of a four-mode data matrix and the consideration of relationships among the modes. An empirical example based upon viewer perceptions of repetitive advertising shows the four-mode model applicable to real data.

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KW - factor analysis

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KW - three-mode models

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The extension of component analysis to four-mode matrices

Abstract

Keywords

ASJC Scopus subject areas

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