Issues on item response theory modelling

  • Mariagiulia Matteucci
  • Stefania Mignani
  • Bernard P. Veldkamp
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)


Item response theory (IRT) models have been developed in order to study the individual responses to a set of items designed to measure latent abilities. IRT is a measurement theory that was first formalized in the sixties with the fundamental work of Lord and Novick (1968) and it has a predominant role in educational assessment (see van der Linden and Hambleton, 1997).


Markov Chain Monte Carlo Conditional Distribution Item Response Theory Gibbs Sampler Item Parameter 
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The authors would like to thank the National Evaluation Institute for the School System (INVALSI) for the availability of the data used in the case study, and especially Roberto Ricci for his useful support in the data management and interpretation.

Copyright information

© Physica-Verlag Heidelberg 2009

Authors and Affiliations

  • Mariagiulia Matteucci
    • 1
  • Stefania Mignani
    • 2
  • Bernard P. Veldkamp
    • 3
  1. 1.Department of Statistical SciencesUniversity of BolognaBolognaItaly
  2. 2.Statistics Department “Paolo Fortunati”University of BolognaBolognaItaly
  3. 3.Department of Research Methodology, Measurement and Data AnalysisUniversity of TwenteEnschedeThe Netherlands

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