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Alternative linear item response theory observed-score equating methods
Umeå University, Faculty of Social Sciences, Umeå School of Business and Economics (USBE), Statistics.ORCID iD: 0000-0001-5549-8262
2016 (English)In: Applied psychological measurement, ISSN 0146-6216, E-ISSN 1552-3497, Vol. 40, no 3, 180-199 p.Article in journal (Refereed) Published
Abstract [en]

Item response theory observed-score equating (IRTOSE) is widely used in many testing programs. The aim of this study was to empirically examine three alternative linear IRTOSE methods compared with the traditional IRTOSE method and to discuss these methods in light of previously suggested alternatives. This contribution is both conceptual, by exploring three alternative methods that fit into the current observed-score equating framework, and empirical by comparing the methods through simulations and with real data. The results show that the local linear (kernel) IRTOSE methods yield low bias and low values on loss measures. However, using only a linear IRTOSE method results in excessive bias and cannot be recommended because of the ease with which IRTOSE with full distributions can be performed. An example using real data showed considerable differences in the equated scores with the alternative methods as well as in comparison with the traditional IRTOSE method. Practical considerations are given in the concluding remarks.

Place, publisher, year, edition, pages
2016. Vol. 40, no 3, 180-199 p.
Keyword [en]
kernel equating, local equating, IRT observed-score equating, linear equating, observed-score
National Category
Probability Theory and Statistics
Research subject
Statistics
Identifiers
URN: urn:nbn:se:umu:diva-110964DOI: 10.1177/0146621615605089ISI: 000374489700002OAI: oai:DiVA.org:umu-110964DiVA: diva2:865979
Funder
Swedish Research Council, 2014-578
Available from: 2015-10-30 Created: 2015-10-30 Last updated: 2016-06-22Bibliographically approved

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Wiberg, Marie
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