Psychometrika

, Volume 69, Issue 2, pp 217–234

Analysis of distractor difficulty in multiple-choice items

Theory And Methods

DOI: 10.1007/BF02295941

Cite this article as:
Revuelta, J. Psychometrika (2004) 69: 217. doi:10.1007/BF02295941

Abstract

Two psychometric models are presented for evaluating the difficulty of the distractors in multiple-choice items. They are based on the criterion of rising distractor selection ratios, which facilitates interpretation of the subject and item parameters. Statistical inferential tools are developed in a Bayesian framework: modal a posteriori estimation by application of an EM algorithm and model evaluation by monitoring posterior predictive replications of the data matrix. An educational example with real data is included to exemplify the application of the models and compare them with the nominal categories model.

Key words

multiple-choice itemsitem-response modelsEM algorithmMCMC simulationPosterior Predictive Checks

Copyright information

© The Psychometric Society 2004

Authors and Affiliations

  1. 1.Departamento de Psicologia Social y MetodologiaUniversidad Autónoma de Madrid, CantoblancoMadridSpain