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Modeling and Evaluating Repeatability and Reproducibility of Ordinal Classifications

Summary: [This abstract is based on the authors' abstract.] Currently available methods for the assessment of the repeatability and reproducibility of ordinal classifications are inadequate for use in business and industry. This study seeks to determine if a class of models from Item Response Theory can be modified to offer a satisfactory solution. The resulting models can be presented graphically and permit the calculation of probabilities of correct ordering and consistent classification. Also, this approach allows refined diagnostics that provide insight into the workings of a classification procedure. A real-life example illustrates the approach, which is compared to two alternative analyses.

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  • Topics: Statistics
  • Keywords: Attribute data, Capability study, Gage Repeatability and reproducibility studies (GR&R), Response model, Measurement system, Ordered categories
  • Author: de Mast, Jeroen; van Wieringen, Wessel N.
  • Journal: Technometrics