Analysis of residuals for the multinomial item response model

Research output: Contribution to journalArticle

54 Citations (Scopus)

Abstract

Using the item response model as developed on the multinomial distribution, asymptotic variances are obtained for residuals associated with response patterns and first-, and second-order marginal frequencies of manifest variables. When the model does not fit well, an examination of these residuals may reveal the source of the poor fit. Finally, a limited-information test of fit for the model is developed by using residuals defined for the first-, and second-order marginals. Model evaluation based on residuals for these marginals is particularly useful when the response pattern frequencies are sparse.

Original languageEnglish (US)
Pages (from-to)509-528
Number of pages20
JournalPsychometrika
Volume61
Issue number3
StatePublished - Sep 1996

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First-order
Model Evaluation
Multinomial Distribution
Asymptotic Variance
Model
examination
evaluation

Keywords

  • Asymptotic standard error
  • Factor analysis
  • Latent trait
  • Limited information

ASJC Scopus subject areas

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

Cite this

Analysis of residuals for the multinomial item response model. / Reiser, Mark.

In: Psychometrika, Vol. 61, No. 3, 09.1996, p. 509-528.

Research output: Contribution to journalArticle

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