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Three-Element Item Selection Procedures for Multiple Forms Assembly: An Item Matching Approach.

Pei-Hua Chen1

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Summary
This summary is machine-generated.

New heuristic methods for test assembly construct parallel forms efficiently. The random item sequence assigned to maximum distance form with content balance (R-MD-B) and random item sequence assigned to random form with content balancing (R-R-B) methods offer comparable results to mixed integer programming (MIP) with reduced computation time.

Keywords:
heuristic algorithmitem response theoryparallel formsseed testtest assembly

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Area of Science:

  • Educational Measurement
  • Psychometrics
  • Computational Statistics

Background:

  • Constructing multiple alternate test forms is crucial in educational measurement.
  • Test assembly is an NP-hard problem, leading to significant computational challenges.
  • Existing heuristic and mixed integer programming (MIP) methods have limitations in efficiency and flexibility.

Purpose of the Study:

  • To develop and evaluate novel item selection heuristic methods for constructing parallel test forms.
  • To compare the performance of new methods against established heuristics and MIP models.
  • To incorporate a flexible content balancing approach into the test assembly process.

Main Methods:

  • Proposed two heuristic methods: random item sequence assigned to maximum distance form with content balance (R-MD-B) and random item sequence assigned to random form with content balancing (R-R-B).
  • Compared R-MD-B and R-R-B with modified Armstrong, Jones, and Wu heuristics (R-MD-R, R-R-R) and two MIP models.
  • Evaluated methods based on item information functions, test characteristic curves, and content coverage.

Main Results:

  • R-MD-B and R-R-B methods produced results comparable to MIP methods.
  • The proposed heuristic methods demonstrated significantly less computation time.
  • Item information functions, test characteristic curves, and content coverage were consistent across comparable methods.

Conclusions:

  • R-MD-B and R-R-B are efficient and effective for constructing parallel test forms.
  • These methods offer a practical alternative to MIP for complex test assembly scenarios.
  • The proposed methods are adaptable for incorporating additional test assembly constraints.