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Is the partial credit model a Rasch model?

Robert W Massof1

  • 1Johns Hopkins University School of Medicine, USA. rmassof@lions.med.jhu.edu.

Journal of Applied Measurement
|July 19, 2012
PubMed
Summary
This summary is machine-generated.

A balance scale metaphor clarifies Rasch models for measurement. This approach reveals issues with the partial credit model (PCM) and proposes a revised PCM adhering to measurement principles.

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Area of Science:

  • Psychometrics
  • Measurement theory
  • Statistical modeling

Background:

  • Rasch models are fundamental in psychometrics for analyzing item responses.
  • Dichotomous and polytomous models, like the Rating Scale Model (RSM) and Partial Credit Model (PCM), have distinct structures.
  • Understanding the underlying assumptions and measurement principles is crucial for model application.

Purpose of the Study:

  • To introduce a balance scale metaphor for explaining Rasch model principles and internal structures.
  • To guide the derivation of polytomous Rasch models, including the RSM and PCM.
  • To critically evaluate the measurement properties of the PCM and propose a revised version.

Main Methods:

  • Conceptualization using a balance scale metaphor.
  • Derivation of a general polytomous Rasch model.
  • Analysis of assumptions for the Andrich Rating Scale Model (RSM) and Masters Partial Credit Model (PCM).
  • Re-derivation of the PCM based on measurement principles.

Main Results:

  • The balance scale metaphor effectively visualizes Rasch model structures and measurement principles.
  • The RSM aligns with measurement rules, while the traditional PCM exhibits inherent interactions violating specific objectivity and score sufficiency.
  • A new version of the PCM is derived that conforms to measurement rules.

Conclusions:

  • The balance scale metaphor provides a valuable tool for understanding and deriving Rasch models.
  • The traditional PCM's structure presents challenges to its status as a Rasch model due to measurement violations.
  • A revised PCM, consistent with measurement principles, has been developed.