A Taxonomy of IRT Models for Ordering Persons and Items Using Simple Sum Scores

Klaas Sijtsma and Bas T. Hemker

Journal of Educational and Behavioral Statistics, 2000, vol. 25, issue 4, 391-415

Abstract: The stochastic ordering of the latent trait by means of the unweighted total score is considered for 10 dichotomous IRT models and 10 polytomous IRT models. The conclusion is that the stochastic ordering property holds for all dichotomous IRT models and for two polytomous IRT models. Also, the invariant item ordering property is considered for the same 20 IRT models. It is concluded that invariant item ordering holds for three dichotomous IRT models and three polytomous IRT models. The person and item ordering results are summarized in a taxonomy of IRT models. Some consequences far practical test construction are briefly discussed.

Keywords: dichotomous IRT models; invariant item ordering; item ordering; item response theory; person ordering; polytomous IRT models; stochastic ordering (search for similar items in EconPapers)
Date: 2000
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://journals.sagepub.com/doi/10.3102/10769986025004391 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:25:y:2000:i:4:p:391-415

DOI: 10.3102/10769986025004391

Access Statistics for this article

More articles in Journal of Educational and Behavioral Statistics
Bibliographic data for series maintained by SAGE Publications ().