Multilevel IRT using dichotomous and polytomous response data.

@article{Fox2005MultilevelIU,
  title={Multilevel IRT using dichotomous and polytomous response data.},
  author={Jean-Paul Fox},
  journal={The British journal of mathematical and statistical psychology},
  year={2005},
  volume={58 Pt 1},
  pages={
          145-72
        }
}
  • J. Fox
  • Published 1 May 2005
  • Economics
  • The British journal of mathematical and statistical psychology
A structural multilevel model is presented where some of the variables cannot be observed directly but are measured using tests or questionnaires. Observed dichotomous or ordinal polytomous response data serve to measure the latent variables using an item response theory model. The latent variables can be defined at any level of the multilevel model. A Bayesian procedure Markov chain Monte Carlo (MCMC), to estimate all parameters simultaneously is presented. It is shown that certain model… 
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