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Power Weighted Versions of Bennett, Alpert, and Goldstein’s

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  • Matthijs J. Warrens

Abstract

A weighted version of Bennett, Alpert, and Goldstein’s S , denoted by , is studied. It is shown that the special cases of are often ordered in the same way. It is also shown that many special cases of tend to produce values close to unity, especially when the number of categories of the rating scale is large. It is argued that the application of as an agreement coefficient is not without difficulties.

Suggested Citation

  • Matthijs J. Warrens, 2014. "Power Weighted Versions of Bennett, Alpert, and Goldstein’s," Journal of Mathematics, Hindawi, vol. 2014, pages 1-9, December.
    • Handle: RePEc:hin:jjmath:231909
    DOI: 10.1155/2014/231909
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    References listed on IDEAS

    as
    1. Klaus Krippendorff, 1987. "Association, agreement, and equity," Quality & Quantity: International Journal of Methodology, Springer, vol. 21(2), pages 109-123, June.
    2. de Mast, Jeroen, 2007. "Agreement and Kappa-Type Indices," The American Statistician, American Statistical Association, vol. 61, pages 148-153, May.
    3. Matthijs Warrens, 2012. "Some Paradoxical Results for the Quadratically Weighted Kappa," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 315-323, April.
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    Cited by:

    1. Rutger Oest, 2023. "The Dependence of Chance-Corrected Weighted Agreement Coefficients on the Power Parameter of the Weighting Scheme: Analysis and Measurement," Psychometrika, Springer;The Psychometric Society, vol. 88(2), pages 554-579, June.

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