Joint correspondence analysis (JCA) by maximum likelihood

Jeroen K. Vermunt, Carolyn J. Anderson

Research output: Contribution to journalArticle

Abstract

Parameter estimation in joint correspondence analysis (JCA) is typically performed by weighted least squares using the Burt matrix as the data matrix. In this paper, we show how to estimate the JCA model by means of maximum likelihood. For that purpose, JCA is defined as a model for the full K-way distribution by generalizing the correspondence analysis model for three-way tables proposed by Choulakian (1988a, 1988b). The advantage of placing JCA in a more formal statistical framework is that standard chi-squared tests can be applied to assess the goodness-of-fit of unrestricted and restricted models.

Original languageEnglish (US)
Pages (from-to)18-26
Number of pages9
JournalMethodology
Volume1
Issue number1
DOIs
StatePublished - Dec 1 2005

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correspondence analysis
Joints
Least-Squares Analysis

Keywords

  • Bilinear models
  • Categorical data analysis
  • Correlation models
  • Likelihood-ratio chi-squared tests
  • Optimal scaling

ASJC Scopus subject areas

  • Psychology(all)
  • Social Sciences(all)

Cite this

Joint correspondence analysis (JCA) by maximum likelihood. / Vermunt, Jeroen K.; Anderson, Carolyn J.

In: Methodology, Vol. 1, No. 1, 01.12.2005, p. 18-26.

Research output: Contribution to journalArticle

Vermunt, Jeroen K. ; Anderson, Carolyn J. / Joint correspondence analysis (JCA) by maximum likelihood. In: Methodology. 2005 ; Vol. 1, No. 1. pp. 18-26.
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