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Properties of Bangdiwala’s B

Author

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  • Matthijs J. Warrens

    (University of Groningen)

  • Alexandra Raadt

    (University of Groningen)

Abstract

Cohen’s kappa is the most widely used coefficient for assessing interobserver agreement on a nominal scale. An alternative coefficient for quantifying agreement between two observers is Bangdiwala’s B. To provide a proper interpretation of an agreement coefficient one must first understand its meaning. Properties of the kappa coefficient have been extensively studied and are well documented. Properties of coefficient B have been studied, but not extensively. In this paper, various new properties of B are presented. Category B-coefficients are defined that are the basic building blocks of B. It is studied how coefficient B, Cohen’s kappa, the observed agreement and associated category coefficients may be related. It turns out that the relationships between the coefficients are quite different for $$2\times 2$$ 2 × 2 tables than for agreement tables with three or more categories.

Suggested Citation

  • Matthijs J. Warrens & Alexandra Raadt, 2019. "Properties of Bangdiwala’s B," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 13(2), pages 481-493, June.
    • Handle: RePEc:spr:advdac:v:13:y:2019:i:2:d:10.1007_s11634-018-0319-0
    DOI: 10.1007/s11634-018-0319-0
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    References listed on IDEAS

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    1. Sergio Munoz & Shrikant Bangdiwala, 1997. "Interpretation of Kappa and B statistics measures of agreement," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(1), pages 105-112.
    2. Viswanathan Shankar & Shrikant Bangdiwala, 2008. "Behavior of agreement measures in the presence of zero cells and biased marginal distributions," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(4), pages 445-464.
    3. Matthijs Warrens, 2008. "On Similarity Coefficients for 2×2 Tables and Correction for Chance," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 487-502, September.
    4. Hubert Schouten, 1986. "Nominal scale agreement among observers," Psychometrika, Springer;The Psychometric Society, vol. 51(3), pages 453-466, September.
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