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Georg Rasch and Benjamin Wright's Struggle With the Unidimensional Polytomous Model With Sufficient Statistics.

David Andrich1

  • 1The University of Western Australia, Perth, Western Australia, Australia.

Educational and Psychological Measurement
|May 26, 2018
PubMed
Summary
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Correspondence between Georg Rasch and Benjamin Wright reveals the development of a unidimensional measurement model. Their work, spanning nearly two decades, focused on achieving sufficient statistics for ordered categories, leading to the model's elegant form.

Area of Science:

  • Psychometrics
  • Statistics
  • Measurement Theory

Background:

  • Correspondence between Georg Rasch and Benjamin Wright (1966-1967) details early challenges.
  • Focus on operationalizing a unidimensional measurement model for ordered categorical data.

Purpose of the Study:

  • Trace the theoretical development of the Rasch model.
  • Explain the evolution from initial concepts to its current form.
  • Highlight the driving force of parameter separation and sufficiency.

Main Methods:

  • Analysis of historical correspondence between key figures.
  • Review of the theoretical advancements in measurement models from 1961 to 1978.
  • Examination of the concept of sufficiency in statistical models.
Keywords:
ordered category formatspartial creditpolytomous Rasch modelrating scalesufficient statistics

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Main Results:

  • The development involved three distinct stages from 1961 to 1978.
  • The demand for sufficiency of the object parameter was crucial.
  • This demand enabled the separation of object and instrument parameters.

Conclusions:

  • The Rasch model's development was a multi-stage process driven by statistical demands.
  • Parameter separation and sufficiency were key to the model's elegance and utility.
  • The historical context reveals the intellectual journey behind a foundational measurement model.