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Item Selection Methods in Multidimensional Computerized Adaptive Testing With Polytomously Scored Items.

Dongbo Tu1, Yuting Han1,2, Yan Cai1

  • 1School of Psychology, Jiangxi Normal University, Nanchang, China.

Applied Psychological Measurement
|December 19, 2018
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Summary
This summary is machine-generated.

New item selection algorithms for polytomously scored adaptive tests (PMCAT) improve accuracy and reduce item exposure. The modified continuous entropy method (MCEM) is ideal for low dimensions, while MUI and MCEM perform well in high dimensions.

Keywords:
Fisher informationKullback–Leibler informationmultidimensional computerized adaptive testmultidimensional graded response modelpolytomous items

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Computerized Adaptive Testing

Background:

  • Traditional Multidimensional Computerized Adaptive Testing (MCAT) primarily handles dichotomous items.
  • Polytomous items offer richer data and assess complex skills, necessitating advanced adaptive testing methods.

Purpose of the Study:

  • To explore and propose item selection algorithms for MCAT with polytomous items (PMCAT).
  • To evaluate the performance of extended and novel item selection strategies in PMCAT.

Main Methods:

  • Extension of existing MCAT item selection algorithms to the PMCAT framework.
  • Development of two new item selection methods for PMCAT.
  • Conducting two simulation studies to assess algorithm feasibility and performance.

Main Results:

  • Most extended item selection methods for PMCAT demonstrated feasibility.
  • Proposed methods, particularly the modified continuous entropy method (MCEM), showed strong performance.
  • MCEM achieved low item exposure and high accuracy in two-dimensional settings.
  • Mutual information (MUI) and MCEM maintained high accuracy in high-dimensional settings with decreasing exposure rates as correlation increased.

Conclusions:

  • The developed algorithms are feasible for PMCAT.
  • The modified continuous entropy method (MCEM) and mutual information (MUI) are effective strategies for item selection in PMCAT, balancing accuracy and item security.