Person fit in order-restricted latent class models

Wilco H.M. Emons, Cornelis A.W. Glas, R.R. Meijer, Klaas Sijtsma

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9 Citations (Scopus)


Person-fit analysis revolves around fitting an item response theory (IRT) model to respondents’ vectors of item scores on a test and drawing statistical inferences about fit or misfit of these vectors. Four person-fit measures were studied in order-restricted latent class models (OR-LCMs). To decide whether the OR-LCM fits an item score vector, a Bayesian framework was adopted and posterior predictive checks were used. First, simulated Type I error rates and detection rates were investigated for the four person-fit measures under varying test and item characteristics. Second, the suitability of the OR-LCM methodology in a nonparametric IRT context was investigated. The result was Type I error rates close to the nominal Type I error rates and detection rates close to the detection rates found in OR-LCMs. This means that the OR-LCM methodology is a suitable alternative for assessing person fit in nonparametric IRT models.
Original languageUndefined
Pages (from-to)459-478
Number of pages20
JournalApplied psychological measurement
Issue number6
Publication statusPublished - 2003


  • order-restricted latent class analysis
  • nonparametric item response theory
  • posterior predictive checks
  • person-fit analysis
  • person-fit statistics
  • METIS-215721
  • Bayesian approach to person fit
  • IR-60150

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