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Parallel Optimal Calibration of Mixed-Format Items for Achievement Tests
Stockholm University, Faculty of Social Sciences, Department of Statistics. Linköping University, Sweden.ORCID iD: 0000-0003-4161-7851
Stockholm University, Faculty of Social Sciences, Department of Statistics.ORCID iD: 0000-0003-0528-0083
Number of Authors: 22024 (English)In: Psychometrika, ISSN 0033-3123, E-ISSN 1860-0980, Vol. 89, no 3, p. 903-928Article in journal (Refereed) Published
Abstract [en]

When large achievement tests are conducted regularly, items need to be calibrated before being used as operational items in a test. Methods have been developed to optimally assign pretest items to examinees based on their abilities. Most of these methods, however, are intended for situations where examinees arrive sequentially to be assigned to calibration items. In several calibration tests, examinees take the test simultaneously or in parallel. In this article, we develop an optimal calibration design tailored for such parallel test setups. Our objective is both to investigate the efficiency gain of the method as well as to demonstrate that this method can be implemented in real calibration scenarios. For the latter, we have employed this method to calibrate items for the Swedish national tests in Mathematics. In this case study, like in many real test situations, items are of mixed format and the optimal design method needs to handle that. The method we propose works for mixed-format tests and accounts for varying expected response times. Our investigations show that the proposed method considerably enhances calibration efficiency.

Place, publisher, year, edition, pages
2024. Vol. 89, no 3, p. 903-928
Keywords [en]
Achievement tests, Calibration, Mixed-format items, Optimal design, Swedish national test
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:su:diva-229049DOI: 10.1007/s11336-024-09968-3ISI: 001204673600001PubMedID: 38619664Scopus ID: 2-s2.0-85190464106OAI: oai:DiVA.org:su-229049DiVA, id: diva2:1858893
Available from: 2024-05-20 Created: 2024-05-20 Last updated: 2025-02-13Bibliographically approved

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Miller, FrankFackle-Fornius, Ellinor

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