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A Short Note on Estimating the Testlet Model With Different Estimators in Mplus.

Yong Luo1

  • 1National Center for Assessment, Riyadh, Saudi Arabia.

Educational and Psychological Measurement
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Summary

The two-parameter logistic testlet model can be estimated in Mplus software using a constrained bifactor model approach. This method is compatible with various estimation techniques, enhancing complex statistical modeling capabilities.

Keywords:
bifactor modelfull-information estimationitem response theory (IRT)limited-information estimationtestlet

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Area of Science:

  • Psychometrics
  • Statistical Modeling
  • Educational Measurement

Background:

  • Mplus is a widely used software for latent variable modeling.
  • Item response theory (IRT) models are essential for analyzing educational and psychological test data.
  • Complex IRT models, such as the testlet model, present estimation challenges.

Purpose of the Study:

  • To demonstrate the estimation of the two-parameter logistic testlet model within the Mplus software.
  • To show that this model can be represented as a constrained bifactor model.
  • To highlight the flexibility of Mplus for advanced psychometric analyses.

Main Methods:

  • Utilized Mplus software for latent variable modeling.
  • Specified the two-parameter logistic testlet model as a constrained bifactor model.
  • Employed three distinct estimators: limited-information and full-information methods.

Main Results:

  • Successfully estimated the two-parameter logistic testlet model in Mplus.
  • Confirmed the feasibility of representing the testlet model as a constrained bifactor model.
  • Demonstrated the applicability of multiple estimation methods within this framework.

Conclusions:

  • Mplus can effectively estimate complex item response theory models like the two-parameter logistic testlet model.
  • The constrained bifactor model provides a viable approach for fitting testlet models in Mplus.
  • This enhances the utility of Mplus for researchers conducting advanced psychometric analyses.