ERIC Number: EJ1491602
Record Type: Journal
Publication Date: 2025-Dec
Pages: 30
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0655
EISSN: EISSN-1745-3984
Available Date: 2025-11-09
Vertical Scaling with Moderated Nonlinear Factor Analysis
Journal of Educational Measurement, v62 n4 p929-958 2025
Vertical scales are intended to establish a common metric for scores on test forms targeting different levels of development in a specified domain. They are often constructed using common item, nonequivalent group designs that implicitly rely on the linking items being effectively free from differential item functioning (DIF) or the DIF being symmetric to produce unbiased linking constants. Moderated Nonlinear Factor Analysis (MNLFA) is a measurement model that can be used to understand both the presence of DIF among vertical scale common items and the extent to which the presence of DIF may affect grade-to-grade score distributions. Monte Carlo simulation and synthetic data applications show how models that do and do not account for DIF in vertical scale common items can produce meaningfully different answers to the fundamental question of how much students grow from one grade to the next, but that when DIF is not present, MNLFA provides effectively identical growth estimates to traditional concurrent and characteristic curve approaches to vertical linking.
Descriptors: Scaling, Factor Analysis, Test Bias, Test Items, Item Response Theory, Instructional Program Divisions
Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www-wiley-com.bibliotheek.ehb.be/en-us
Related Records: ED676858
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305B240013
Department of Education Funded: Yes
Author Affiliations: 1University of Delaware

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