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Optimal Item Calibration for Computerized Achievement Tests.

Mahmood Ul Hassan1, Frank Miller2

  • 1Stockholm University, Stockholm, Sweden. scenic555@gmail.com.

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|June 12, 2019
PubMed
Summary
This summary is machine-generated.

Optimal restricted designs improve item calibration in computerized tests by allowing sampling from broader ability intervals. This addresses practical challenges in recruiting examinees with specific skill levels for test development.

Keywords:
achievement testscomputerized testsitem calibrationoptimal restricted designtwo-parameter logistic model

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Area of Science:

  • Educational Measurement
  • Psychometrics
  • Computerized Adaptive Testing

Background:

  • Item calibration is crucial for developing and maintaining item banks in computerized tests.
  • Traditional optimal design theory for item calibration often requires sampling examinees at very specific ability levels, which is practically difficult.
  • Existing methods face challenges due to the limited availability of examinees at precise ability points.

Purpose of the Study:

  • To adapt optimal design theory for item calibration to address practical sampling constraints.
  • To introduce and validate the concept of optimal restricted designs for item calibration.
  • To demonstrate the effectiveness of restricted designs in scenarios with limited examinee availability.

Main Methods:

  • Utilized optimal design theory, specifically focusing on restricted designs, for item calibration.
  • Proved an equivalence theorem to establish the optimality criteria for restricted designs.
  • Applied D-optimal restricted designs under a two-parameter logistic model for single and multiple item calibration scenarios.

Main Results:

  • Optimal restricted designs provide practical intervals of ability levels for efficient item calibration.
  • The study demonstrated that sampling examinees within these broader intervals is more feasible and effective.
  • Results indicate that naive sampling strategies around unrestricted design points are suboptimal compared to restricted designs.

Conclusions:

  • Optimal restricted designs offer a more practical and effective approach to item calibration in computerized testing.
  • This methodology overcomes limitations associated with sampling specific examinee ability levels.
  • The findings support the use of restricted designs for robust item bank maintenance and development.