Randomized Item Response Theory Models

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35 Citations (Scopus)


The randomized response (RR) technique is often used to obtain answers on sensitive questions. A new method is developed to measure latent variables using the RR technique because direct questioning leads to biased results. Within the RR technique is the probability of the true response modeled by an item response theory (IRT) model. The RR technique links the observed item response with the true item response. Attitudes can be measured without knowing the true individual answers. This approach makes also a hierarchical analysis possible, with explanatory variables, given observed RR data. All model parameters can be estimated simultaneously using Markov chain Monte Carlo. The randomized item response technique was applied in a study on cheating behavior of students at a Dutch University. In this study, it is of interest if students’ cheating behavior differs across studies and if there are indicators that can explain differences in cheating behavior.
Original languageUndefined
Pages (from-to)189-212
JournalJournal of educational and behavioral statistics
Issue number2
Publication statusPublished - 2005


  • Random effects
  • Analysis of variance
  • Markov chain Monte Carlo(MCMC)
  • item response theory model
  • randomized response
  • IR-58613

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