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Using Response Times to Model Not-Reached Items due to Time Limits.

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Summary

This study integrates response time data with missing response models to analyze test-taker speed and ability. The proposed speed-accuracy (SA) model effectively models missing data due to time limits in computer-based assessments.

Keywords:
Bayesian modelingitem response theorymissing responsesnot-reached itemsresponse timestime limit

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Cognitive Psychology

Background:

  • Missing test responses often result from time constraints, reflecting test-taker working speed.
  • Computer-based assessments provide response time data, enabling simultaneous modeling of speed and ability.
  • Existing methods for handling not-reached items can be integrated with response time modeling.

Purpose of the Study:

  • To propose and evaluate a model that uses response times to account for missing test values caused by time limits.
  • To integrate research on response time modeling with methods for modeling missing responses.
  • To jointly model effective speed and ability using the speed-accuracy (SA) model.

Main Methods:

  • Utilizing the speed-accuracy (SA) model, which integrates response time data with ability estimation.
  • Comparing the SA model's performance with traditional item-response theory (IRT) models for not-reached items.
  • Employing item-level timing information rather than just a count of not-reached items.

Main Results:

  • The SA model successfully recovers parameters even with missing values due to time limits.
  • Response time models yield different person parameter estimates compared to traditional missing data IRT models.
  • The proposed approach demonstrates the utility of response time data for understanding missing data processes.

Conclusions:

  • The speed-accuracy (SA) model is effective for modeling the missing data process in time-limited assessments.
  • Response times offer valuable insights into test-taker performance beyond just ability estimation.
  • Joint modeling of ability and speed provides a more comprehensive description of test-taker performance.