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On the relationship between item response theory and factor analysis of discretized variables

On the relationship between item response theory and factor analysis of discretized variables Abstract Equivalence of marginal likelihood of the two-parameter normal ogive model in item response theory (IRT) and factor analysis of dichotomized variables (FA) was formally proved. The basic result on the dichotomous variables was extended to multicategory cases, both ordered and unordered categorical data. Pair comparison data arising from multiple-judgment sampling were discussed as a special case of the unordered categorical data. A taxonomy of data for the IRT and FA models was also attempted. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Psychometrika Cambridge University Press

On the relationship between item response theory and factor analysis of discretized variables

Psychometrika , Volume 52 (3): 16 – Sep 1, 1987

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References (60)

Publisher
Cambridge University Press
Copyright
1987 The Psychometric Society
ISSN
0033-3123
eISSN
1860-0980
DOI
10.1007/bf02294363
Publisher site
See Article on Publisher Site

Abstract

Abstract Equivalence of marginal likelihood of the two-parameter normal ogive model in item response theory (IRT) and factor analysis of dichotomized variables (FA) was formally proved. The basic result on the dichotomous variables was extended to multicategory cases, both ordered and unordered categorical data. Pair comparison data arising from multiple-judgment sampling were discussed as a special case of the unordered categorical data. A taxonomy of data for the IRT and FA models was also attempted.

Journal

PsychometrikaCambridge University Press

Published: Sep 1, 1987

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