Article (Scientific journals)
Establishing Cognitive Item Models for Fair and Theory-Grounded Automatic Item Generation: A Large-Scale Assessment Study with Image-Based Math Items
SONNLEITNER, Philipp; BERNARD, Steve; Michels, Michael A. et al.
2025In Applied Measurement in Education, p. 1-23
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Keywords :
automatic item generation, mathematics, large-scale assessment,; cognitive models, item models
Abstract :
[en] Mathematics is a core domain in large-scale assessments (LSA), yet item development remains resource-intensive, limiting scalability and innovation. Automatic Item Generation (AIG) offers a promising solution, but empirical validations remain rare. This study investigates the psychometric functioning and fairness of 48 cognitive item models designed to generate language- reduced, image-based math items for Grades 1, 3, and 5. Treating these models as proto-theories, we generated 612 item instances varying in cog- nitive demands and contextual features. Using data from Luxembourg’s school monitoring (N = 35,058), we found that item difficulty was mainly driven by predefined cognitive factors, with stronger contextual influences in early grades. We introduce Differential Radical Functioning to evaluate whether AIG-based items permit comparable score interpretations across subgroups. Results reveal meaningful differences by cultural background, regardless of language proficiency. These findings highlight the importance of contextual embedding and demonstrate the potential of cognitive mod- eling in AIG for scalable, valid, and equitable assessments.
Disciplines :
Education & instruction
Author, co-author :
SONNLEITNER, Philipp  ;  University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET
BERNARD, Steve  ;  University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET
Michels, Michael A.;  University of Luxembourg
Inostroza-Fernandez, Pamela;  Universidad de los Andes
KELLER, Ulrich  ;  University of Luxembourg > Faculty of Humanities, Education and Social Sciences (FHSE) > LUCET
Gierl, Mark J.;  University of Alberta
Cardoso-Leite, Pedro;  University of Luxembourg
HORNUNG, Caroline  ;  University of Luxembourg
External co-authors :
yes
Language :
English
Title :
Establishing Cognitive Item Models for Fair and Theory-Grounded Automatic Item Generation: A Large-Scale Assessment Study with Image-Based Math Items
Publication date :
14 November 2025
Journal title :
Applied Measurement in Education
ISSN :
0895-7347
eISSN :
1532-4818
Publisher :
Informa UK Limited
Pages :
1-23
Peer reviewed :
Peer Reviewed verified by ORBi
Development Goals :
4. Quality education
FnR Project :
FNR13650128 - FAIR-ITEMS - Fairness Of Latest Innovations In Item And Test Development In Mathematics, 2019 (01/09/2020-31/08/2023) - Philipp Sonnleitner
Name of the research project :
R-AGR-3682 - C19/SC/13650128/FAIR-ITEMS - SONNLEITNER Philipp
Funders :
Fonds National de la Recherche Luxembourg
Funding number :
C19/SC/13650128/
Available on ORBilu :
since 25 November 2025

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