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Kappa Coefficients for Circular Classifications

Author

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  • Matthijs J. Warrens

    (University of Groningen)

  • Bunga C. Pratiwi

    (Leiden University)

Abstract

Circular classifications are classification scales with categories that exhibit a certain periodicity. Since linear scales have endpoints, the standard weighted kappas used for linear scales are not appropriate for analyzing agreement between two circular classifications. A family of kappa coefficients for circular classifications is defined. The kappas differ only in one parameter. It is studied how the circular kappas are related and if the values of the circular kappas depend on the number of categories. It turns out that the values of the circular kappas can be strictly ordered in precisely two ways. The orderings suggest that the circular kappas are measuring the same thing, but to a different extent. If one accepts the use of magnitude guidelines, it is recommended to use stricter criteria for circular kappas that tend to produce higher values.

Suggested Citation

  • Matthijs J. Warrens & Bunga C. Pratiwi, 2016. "Kappa Coefficients for Circular Classifications," Journal of Classification, Springer;The Classification Society, vol. 33(3), pages 507-522, October.
    • Handle: RePEc:spr:jclass:v:33:y:2016:i:3:d:10.1007_s00357-016-9217-3
    DOI: 10.1007/s00357-016-9217-3
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    References listed on IDEAS

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    1. Yang, Zhao & Zhou, Ming, 2015. "Weighted kappa statistic for clustered matched-pair ordinal data," Computational Statistics & Data Analysis, Elsevier, vol. 82(C), pages 1-18.
    2. Rueda, Cristina & Fernández, Miguel A. & Peddada, Shyamal Das, 2009. "Estimation of Parameters Subject to Order Restrictions on a Circle With Application to Estimation of Phase Angles of Cell Cycle Genes," Journal of the American Statistical Association, American Statistical Association, vol. 104(485), pages 338-347.
    3. Matthijs Warrens, 2008. "On the Equivalence of Cohen’s Kappa and the Hubert-Arabie Adjusted Rand Index," Journal of Classification, Springer;The Classification Society, vol. 25(2), pages 177-183, November.
    4. Matthijs Warrens, 2012. "Some Paradoxical Results for the Quadratically Weighted Kappa," Psychometrika, Springer;The Psychometric Society, vol. 77(2), pages 315-323, April.
    5. Matthijs Warrens, 2014. "Corrected Zegers-ten Berge Coefficients Are Special Cases of Cohen’s Weighted Kappa," Journal of Classification, Springer;The Classification Society, vol. 31(2), pages 179-193, July.
    6. Berens, Philipp, 2009. "CircStat: A MATLAB Toolbox for Circular Statistics," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 31(i10).
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    Cited by:

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