The extension of component analysis to four-mode matrices

John L. Lastovicka

Research output: Contribution to journalArticle

15 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)47-57
Number of pages11
JournalPsychometrika
Volume46
Issue number1
DOIs
StatePublished - Mar 1981
Externally publishedYes

Fingerprint

simultaneous analysis
Model
Marketing
Advertising
Relationships

Keywords

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

ASJC Scopus subject areas

  • Social Sciences (miscellaneous)
  • Psychology (miscellaneous)
  • Psychology(all)
  • Mathematics (miscellaneous)

Cite this

The extension of component analysis to four-mode matrices. / Lastovicka, John L.

In: Psychometrika, Vol. 46, No. 1, 03.1981, p. 47-57.

Research output: Contribution to journalArticle

Lastovicka, John L. / The extension of component analysis to four-mode matrices. In: Psychometrika. 1981 ; Vol. 46, No. 1. pp. 47-57.
@article{8e0c83818088467a82592deece48d895,
title = "The extension of component analysis to four-mode matrices",
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.",
keywords = "advertising, component analysis, factor analysis, four-mode models, three-mode models",
author = "Lastovicka, {John L.}",
year = "1981",
month = "3",
doi = "10.1007/BF02293918",
language = "English (US)",
volume = "46",
pages = "47--57",
journal = "Psychometrika",
issn = "0033-3123",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - The extension of component analysis to four-mode matrices

AU - Lastovicka, John L.

PY - 1981/3

Y1 - 1981/3

N2 - 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.

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.

KW - advertising

KW - component analysis

KW - factor analysis

KW - four-mode models

KW - three-mode models

UR - http://www.scopus.com/inward/record.url?scp=0039295883&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0039295883&partnerID=8YFLogxK

U2 - 10.1007/BF02293918

DO - 10.1007/BF02293918

M3 - Article

AN - SCOPUS:0039295883

VL - 46

SP - 47

EP - 57

JO - Psychometrika

JF - Psychometrika

SN - 0033-3123

IS - 1

ER -