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Equating Errors and Scale Drift in Linked-Chain IRT Equating with Mixed-Format Tests.

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Equating errors in linked-chain equating can cause scale drift in mixed-format tests. Characteristic curve methods offer more accurate results than moment methods for improved test equating.

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Item Response Theory (IRT)

Background:

  • Linked-chain equating is susceptible to accumulating errors, leading to scale drift.
  • Scale drift is a significant concern in maintaining score comparability over time.
  • Mixed-format tests present unique challenges for equating procedures.

Purpose of the Study:

  • To investigate scale drift in linked-chain equating for mixed-format tests.
  • To examine the impact of equating methods, anchor test characteristics, and equating chain properties on equating errors and scale drift.
  • To evaluate the accuracy and reliability of different equating approaches within an IRT true score equating framework.

Main Methods:

  • A simulation study was conducted to model linked-chain equating for mixed-format tests.
  • Item Response Theory (IRT) true score equating was employed.
  • A novel method was utilized to derive true linking coefficients for evaluating equating accuracy.
  • Characteristic curve and moment methods were compared.

Main Results:

  • Characteristic curve methods demonstrated superior accuracy and reliability compared to moment methods.
  • Increasing anchor items or IRT parameters reduced equating result variability but did not control bias.
  • Longer equating chains and the inclusion of poorly calibrated forms exacerbated scale drift.
  • Calibration precision was identified as crucial for accurate equating result evaluation.

Conclusions:

  • Characteristic curve methods are recommended for more precise and dependable test equating in mixed-format linked-chain designs.
  • Test form calibration quality and equating chain length are critical factors influencing scale drift.
  • Careful consideration of anchor test design and equating methodology is necessary to mitigate scale drift and ensure score stability.