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September 2, 2026Journal of Educational and Behavioral Statistics

Latent Variable Selection in Multidimensional Item Response Theory Models With Nonignorable Missingness

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Authors

QZQian‐Zhen ZhengPXPing‐Feng XuLSLaixu Shang

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Overview

Methodological study demonstrates accurate latent variable selection in multidimensional test responses with missing data, highlighting improved parameter estimation in educational testing.

Key Points

  • Develop and evaluate a latent variable selection method for multidimensional item response theory models when item omissions represent nonignorable missingness.
  • Formulated a joint latent variable model combining a Rasch model for missingness propensities with a multidimensional two-parameter logistic model for item responses.
  • Engineered an Expectation Model Selection algorithm for omitted items (EMS-OI) to simultaneously perform variable selection and item parameter estimation.
  • Evaluated performance using synthetic simulation experiments and an empirical validation using the PISA 2012 assessment dataset.
  • EMS-OI demonstrated competitive accuracy in identifying item-ability structures and estimating model parameters compared with traditional EMS and expectation-maximization baselines.
  • Application to the PISA 2012 dataset verified the algorithm's empirical feasibility and robust estimation behavior in large-scale assessment settings.

Cite This Study

Zheng et al. (2026) studied this question.

synapsesocial.com/papers/6a97e25ec562ede874ec66cfhttps://doi.org/10.3102/10769986261480063
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