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Exploratory Analysis of Contingency Tables by Loglinear Formulation and Generalizations of Correspondence Analysis

Published online by Cambridge University Press:  01 January 2025

Vartan Choulakian
Vartan Choulakian*
Affiliation:
Université de Moncton, Moncton, New Brunswick
*
Requests for reprints should be sent to Vartan Choulakian, Département de mathématiques, physique et informatique, Université de Moncton, Moncton, N. B., E1A 3E9 CANADA.
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Abstract

Goodman's (1979, 1981, 1985) loglinear formulation for bi-way contingency tables is extended to tables with or without missing cells and is used for exploratory purposes. A similar formulation is done for three-way tables and generalizations of correspondence analysis are deduced. A generalized version of Goodman's algorithm, based on Newton's elementary unidimensional method is used to estimate the scores in all cases.

Keywords

exploratory data analysiscontingency tablesmissing cellsloglinear formulationinteractionsgeneralized correspondence analysisNewton's algorithmmutual information

Information

Type
Original Paper
Information
Psychometrika , Volume 53 , Issue 2 , June 1988, pp. 235 - 250
Copyright
Copyright © 1988 The Psychometric Society

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Footnotes

This research was partially supported by National Science and Engineering Research Council of Canada, Grant No. A8724. The author is grateful to the reviewers and the editor for helpful comments.

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Vartan Choulakian