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Variable-Length Stopping Rules for Multidimensional Computerized Adaptive Testing.

Chun Wang1, David J Weiss2, Zhuoran Shang2

  • 1Measurement and Statistics, College of Education, University of Washington, 312E Miller Hall, Box 353600, Seattle, WA , 98195-3600, USA. wang4066@uw.edu.

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Summary
This summary is machine-generated.

This study clarifies relationships between computerized adaptive testing (CAT) stopping rules. Findings suggest the "absolute change in theta" (CT) rule can be unstable alone but useful for monitoring diminishing returns in CAT.

Keywords:
computerized adaptive testinginformationmultidimensional modelsstandard errorstopping rulesvariable-length adaptive testing

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Area of Science:

  • Educational Measurement and Psychometrics
  • Psychological and Cognitive Science

Background:

  • Computerized adaptive testing (CAT) uses variable-length stopping rules to achieve precise measurement for all examinees.
  • Existing stopping rules in unidimensional and multidimensional CAT focus on monitoring measurement error.
  • The relationships and optimal use of various CAT stopping rules remain unclear.

Purpose of the Study:

  • To analytically investigate the connections among different stopping rules in unidimensional and multidimensional CAT.
  • To evaluate the stability and utility of the "absolute change in theta" (CT) rule.
  • To provide empirical evidence through simulation studies for rule selection.

Main Methods:

  • Analytical derivation of relationships between existing and proposed CAT stopping rules.
  • Evaluation of the "absolute change in theta" (CT) rule's performance.
  • Three simulation studies using the 2-parameter logistic (2PL) model and multidimensional graded response model.

Main Results:

  • Analytic results demonstrate connections between various CAT stopping rules.
  • The CT-rule, when used alone, can lead to premature test termination and instability.
  • The CT-rule shows potential as a secondary rule for identifying the point of diminishing returns in item selection.

Conclusions:

  • Understanding the relationships among stopping rules is crucial for developing clear guidelines in CAT.
  • The CT-rule requires careful consideration and is best used in conjunction with other rules.
  • Further simulation studies confirm the practical implications of different stopping rules in CAT settings.