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Guessing During Testing is a Person Attribute Not an Instrument Parameter.

Georgios D Sideridis1, Mohammed Alghamdi2

  • 1Harvard Medical School, Boston, MA, USA.

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Summary

The novel Two-Parameter Logistic Extension (2PLE) model offers a more accurate way to assess test-takers by modeling guessing as ability-dependent, unlike the traditional three-parameter logistic (3PL) model.

Keywords:
2PL2PLE extension model3PL modelsitem-response theoryperson-guessing estimation

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Area of Science:

  • Psychometrics
  • Educational Measurement
  • Item Response Theory

Background:

  • The traditional three-parameter logistic (3PL) model in item-response theory (IRT) uses a fixed item-level parameter for guessing.
  • This approach inaccurately treats guessing as an item property, not an individual's behavior.

Purpose of the Study:

  • To evaluate the novel Two-Parameter Logistic Extension (2PLE) model as an alternative to the 3PL model.
  • To compare the 3PL and 2PLE models in terms of ability recovery, predictive fit, and theoretical alignment.

Main Methods:

  • Monte Carlo simulations were used to compare model performance.
  • Empirical data from the PIRLS 2021 reading comprehension assessment were analyzed.
  • Model fit was assessed using the Leave-One-Out Information Criterion (LOOIC) and person-fit statistics.

Main Results:

  • Both models showed similar root-mean-squared error (RMSE) for ability estimates.
  • The 2PLE model consistently yielded superior LOOIC values, especially with larger datasets and tests.
  • 2PLE's person-level guessing estimates correlated significantly with established person-fit statistics.

Conclusions:

  • The 2PLE model offers a more cognitively plausible and statistically robust approach to modeling examinee behavior.
  • It accurately represents guessing as a function of individual ability.
  • The 2PLE model enhances the precision of educational assessments.