Analysis of residuals for the multinomial item response model

Research output: Contribution to journalArticlepeer-review

65 Scopus citations


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
Issue number3
StatePublished - Sep 1996


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

ASJC Scopus subject areas

  • General Psychology
  • Applied Mathematics


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