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Optimizing calibration designs with uncertainty in abilities
Linköping University, Department of Computer and Information Science, The Division of Statistics and Machine Learning. Linköping University, Faculty of Arts and Sciences. Department of Computer Department of Statistics, Stockholm University, Stockholm, Sweden.ORCID iD: 0000-0001-7552-8983
Department of Computer Department of Statistics, Stockholm University, Stockholm, Sweden.ORCID iD: 0000-0003-0528-0083
Linköping University, Department of Computer and Information Science, The Division of Statistics and Machine Learning. Linköping University, Faculty of Arts and Sciences. Department of Computer Department of Statistics, Stockholm University, Stockholm, Sweden.ORCID iD: 0000-0003-4161-7851
2025 (English)In: British Journal of Mathematical & Statistical Psychology, ISSN 0007-1102, E-ISSN 2044-8317, Vol. 78, no 3, p. 889-910Article in journal (Refereed) Published
Abstract [en]

Before items can be implemented in a test, the item characteristics need to be calibrated through pretesting. To achieve high-quality tests, it's crucial to maximize the precision of estimates obtained during item calibration. Higher precision can be attained if calibration items are allocated to examinees based on their individual abilities. Methods from optimal experimental design can be used to derive an optimal ability-matched calibration design. However, such an optimal design assumes known abilities of the examinees. In practice, the abilities are unknown and estimated based on a limited number of operational items. We develop the theory for handling the uncertainty in abilities in a proper way and show how the optimal calibration design can be derived when taking account of this uncertainty. We demonstrate that the derived designs are more robust when the uncertainty in abilities is acknowledged. Additionally, the method has been implemented in the R-package optical.

Place, publisher, year, edition, pages
Wiley , 2025. Vol. 78, no 3, p. 889-910
Keywords [en]
ability, computerized adaptive tests, item calibration, optimal experimental design
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:liu:diva-212823DOI: 10.1111/bmsp.12387ISI: 001520329900001PubMedID: 40065545Scopus ID: 2-s2.0-105000444923OAI: oai:DiVA.org:liu-212823DiVA, id: diva2:1950160
Funder
Swedish Research Council, 2019‐02706
Note

Funding Agencies|Swedish Research Council ( Vetenskapsradet) [2019-02706]; Swedish Research Council [2019-02706] Funding Source: Swedish Research Council

Available from: 2025-04-05 Created: 2025-04-05 Last updated: 2026-04-23Bibliographically approved

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Bjermo, JonasMiller, Frank

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Bjermo, JonasFackle‐Fornius, EllinorMiller, Frank
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