Reliability estimation for single dichotomous items

R.R. Meijer, Klaas Sijtsma, Ivo W. Molenaar

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Three methods for the estimation of the reliability of single dichotomous items are discussed. All methods are based on the assumptions of nondecreasing and nonintersecting item response functions and the Mokken model of double monotonicity. Based on analytical and Monte Carlo studies, it is concluded that one method is superior to the other two because it has a smaller bias and a smaller sampling variance. Furthermore, this method shows some robustness under violation of the condition of nonintersecting item response functions. Item reliability is of special interest for Mokken's nonparametric item response theory and is useful for the evaluation of item quality in nonparametric test construction research. It is also of interest for nonparametric person fit analysis.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente
Number of pages25
Publication statusPublished - 9 Feb 1994

Publication series

NameOMD research report
PublisherUniversity of Twente, Faculty of Educational Science and Technology


  • Estimation (Mathematics)
  • Nonparametric Statistics
  • Test Items
  • METIS-140153
  • Foreign Countries
  • Test Reliability
  • IR-104207
  • Research Methodology
  • Test Construction
  • Monte Carlo Methods
  • Statistical Bias
  • Sampling
  • Item Response Theory


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