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The Optimal Design of Bifactor Multidimensional Computerized Adaptive Testing with Mixed-format Items.

Xiuzhen Mao1, Jiahui Zhang2, Tao Xin2

  • 1Sichuan Normal University, Chengdu, China.

Applied Psychological Measurement
|September 22, 2022
PubMed
Summary

Multidimensional computerized adaptive testing (MCAT) with mixed-item formats improves precision. Random delivery (RPmix) of polytomous items is superior to final-stage delivery (DPmix) for enhanced estimation accuracy.

Keywords:
bifactor dimension reductionbifactor modelitem selectionmixed-format designmultidimensional computerized adaptive testing

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Computerized Adaptive Testing

Background:

  • Multidimensional computerized adaptive testing (MCAT) with mixed-format items is crucial for next-generation assessments.
  • Optimizing test design involves critical factors like item order, proportion, and selection strategies.

Purpose of the Study:

  • To investigate the impact of polytomous item proportions and delivery formats on mixed-format bifactor MCAT.
  • To evaluate item selection methods within the bifactor graded response model framework.

Main Methods:

  • Derived the Fisher information matrix for the bifactor graded response model.
  • Applied bifactor dimension reduction to simplify mutual information (MI) item selection.
  • Conducted simulation studies comparing various MCAT designs, polytomous item proportions (0.2-0.6, 1), delivery formats (DPmix, RPmix), bifactor patterns, and item selection methods (Bayesian D-optimality, MI).

Main Results:

  • Higher bifactor patterns correlated with increased overall estimation precision.
  • Item selection methods (Bayesian D-optimality and MI) showed no significant differences in precision.
  • The random polytomous item delivery format (RPmix) consistently yielded more precise interim and final estimates than the final-stage delivery format (DPmix).

Conclusions:

  • The RPmix format is recommended for polytomous item delivery in mixed-format bifactor MCAT.
  • Polytomous item proportions of 0.3 for RPmix and 0.4 for DPmix are suggested for optimal performance.