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Are ordinal models useful for classification?

M K Campbell1, A Donner, K M Webster

  • 1Department of Epidemiology & Biostatistics, Lawson Research Institute, University of Western Ontario, London, Canada.

Statistics in Medicine
|March 1, 1991
PubMed
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This summary is machine-generated.

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Ordinal models do not improve classification accuracy compared to standard multinomial logistic or normal discriminant analyses. This study suggests avoiding ordinal models when the primary goal is classification.

Area of Science:

  • Statistics
  • Biostatistics
  • Machine Learning

Background:

  • Ordinal response data is common in various fields.
  • Ordinal models are designed for such data, but their application requires careful consideration.
  • Misapplication of ordinal models can lead to inaccurate results.

Purpose of the Study:

  • To compare the classification accuracy of ordinal models against standard multinomial logistic and normal discriminant analyses.
  • To determine if ordinal models offer benefits in classification tasks.
  • To investigate the potential harms of inappropriate ordinal model application.

Main Methods:

  • A simulation study was conducted to evaluate classification performance.
  • Various statistical models, including ordinal, multinomial logistic, and normal discriminant analyses, were compared.

Related Experiment Videos

  • Classification accuracy was the primary metric for comparison.
  • Main Results:

    • Ordinal models demonstrated lower classification accuracy than multinomial logistic and normal discriminant procedures across various scenarios.
    • No significant advantage was found for ordinal models in classification tasks.
    • The study highlighted potential pitfalls in assuming ordinality.

    Conclusions:

    • Ordinal models do not confer an advantage for classification tasks compared to established methods.
    • Further research is needed, but current evidence suggests caution in using ordinal models solely for classification.
    • Multinomial logistic and normal discriminant analyses remain robust choices for classification problems, even with ordinal data.