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Randomized Item Response Theory Models

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  • Jean-Paul Fox

Abstract

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 behaviors.

Suggested Citation

  • Jean-Paul Fox, 2005. "Randomized Item Response Theory Models," Journal of Educational and Behavioral Statistics, , vol. 30(2), pages 189-212, June.
    • Handle: RePEc:sae:jedbes:v:30:y:2005:i:2:p:189-212
    DOI: 10.3102/10769986030002189
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    Cited by:

    1. Ramalingam Shanmugam, 2014. "A Bivariate Probability Model To Identify "Honesty" Versus "Cheating" In Economic Surveys: Xenophobia Is Illustrated," American Journal of Economics and Business Administration, Science Publications, vol. 6(1), pages 42-48, June.
    2. Ardo van den Hout & Ulf Böckenholt & Peter G. M. Van Der Heijden, 2010. "Estimating the prevalence of sensitive behaviour and cheating with a dual design for direct questioning and randomized response," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 59(4), pages 723-736, August.

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