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On the Relationship between iTem Response Theory and Factor Analysis of Discretized Variables

Takane, Yoshio, de Leeuw, Jan·1987·Psychometrika

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.

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Research works printed but not linked: 40

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Metadata

Authors
Takane, Y., & de Leeuw, J.
Venue
Psychometrika
Published
1987-09
Volume
52
Issue
3
Pages
393-408
ISSN
  • 0033-3123 (ISSN-L)
  • 1860-0980
OpenAlex
W2010182987
Cited by
691
References
2
FWCI
4.15
Type
journal article
Language
en
Open access
closed

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