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Bayesian Adaptive Lasso for Detecting Item–Trait Relationship and Differential Item Functioning in Multidimensional Item Response Theory Models

Author

Listed:
  • Na Shan

    (Northeast Normal University)

  • Ping-Feng Xu

    (Northeast Normal University
    Shanghai Zhangjiang Institute of Mathematics)

Abstract

In multidimensional tests, the identification of latent traits measured by each item is crucial. In addition to item–trait relationship, differential item functioning (DIF) is routinely evaluated to ensure valid comparison among different groups. The two problems are investigated separately in the literature. This paper uses a unified framework for detecting item–trait relationship and DIF in multidimensional item response theory (MIRT) models. By incorporating DIF effects in MIRT models, these problems can be considered as variable selection for latent/observed variables and their interactions. A Bayesian adaptive Lasso procedure is developed for variable selection, in which item–trait relationship and DIF effects can be obtained simultaneously. Simulation studies show the performance of our method for parameter estimation, the recovery of item–trait relationship and the detection of DIF effects. An application is presented using data from the Eysenck Personality Questionnaire.

Suggested Citation

  • Na Shan & Ping-Feng Xu, 2024. "Bayesian Adaptive Lasso for Detecting Item–Trait Relationship and Differential Item Functioning in Multidimensional Item Response Theory Models," Psychometrika, Springer;The Psychometric Society, vol. 89(4), pages 1337-1365, December.
    • Handle: RePEc:spr:psycho:v:89:y:2024:i:4:d:10.1007_s11336-024-09998-x
    DOI: 10.1007/s11336-024-09998-x
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