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A Mixed-effects Location-Scale Model for Ordinal Questionnaire Data.

Donald Hedeker1, Robin J Mermelstein2, Hakan Demirtas2

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Summary
This summary is machine-generated.

This study introduces a new item response theory (IRT) model for ordinal questionnaires. The model better captures individual differences in both response levels and variability, enhancing subject and item analysis.

Keywords:
IRTextreme response stylesproportional odds modelscaling modelvariance modeling

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Area of Science:

  • Psychometrics
  • Statistical modeling
  • Health sciences

Background:

  • Ordinal questionnaire data is common in health studies.
  • Item response theory (IRT) models are standard for analyzing such data.
  • Existing IRT models typically do not account for within-subject variability.

Purpose of the Study:

  • To introduce a novel location-scale mixed IRT model.
  • To allow for varying within-subject variance in IRT models.
  • To characterize subjects by both their mean response (location) and variability (scale).

Main Methods:

  • Developed a location-scale mixed item response theory (IRT) model.
  • Incorporated subject-level random effects for both location and scale.
  • Applied the model to the Social Subscale of the Drinking Motives Questionnaire (SS-DMQ) in an adolescent sample.

Main Results:

  • The proposed location-scale mixed IRT model demonstrated a significantly better fit to the data compared to simpler IRT models.
  • The model successfully identified items and subjects that were poorly represented by traditional IRT approaches.
  • The model allows for nuanced characterization of subjects based on both their average response and response consistency.

Conclusions:

  • The location-scale mixed IRT model offers a more comprehensive approach to analyzing ordinal questionnaire data.
  • This model enhances the understanding of individual differences by considering both mean levels and variability.
  • The model has broad applicability in fields utilizing ordinal scales, particularly in health and psychological research.