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Fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data

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  • Yang, Jingyun
  • Chinchilli, Vernon M.

Abstract

Cohen's kappa and weighted kappa statistics are the conventional methods that are used widely in measuring agreement for categorical responses. In this paper, we propose a general framework for the fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data which reduces to Cohen's weighted kappa under certain conditions and hence can be considered as a generalization of the conventional Cohen's weighted kappa. Properties of the proposed method are investigated followed by an evaluation of the asymptotic performance through bootstrap simulation studies and two illustrative examples. Our derivation shows that the Fleiss-Cohen weights, one of the popular weight schemes for Cohen's weighted kappa, might have some unappealing analytical properties, although these do not appear to cause an issue in application.

Suggested Citation

  • Yang, Jingyun & Chinchilli, Vernon M., 2011. "Fixed-effects modeling of Cohen's weighted kappa for bivariate multinomial data," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1061-1070, February.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:2:p:1061-1070
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    References listed on IDEAS

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    1. Liu, Xueli & Lee, Sheng-Chien & Casella, George & Peter, Gary F., 2008. "Assessing agreement of clustering methods with gene expression microarray data," Computational Statistics & Data Analysis, Elsevier, vol. 52(12), pages 5356-5366, August.
    2. Stuart R. Lipsitz & Nan M. Laird & Troyen A. Brennan, 1994. "Simple Moment Estimates of the κ‐Coefficient and its Variance," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(2), pages 309-323, June.
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    Cited by:

    1. Tarald O. Kvålseth, 2018. "An Alternative Interpretation of the Linearly Weighted Kappa Coefficients for Ordinal Data," Psychometrika, Springer;The Psychometric Society, vol. 83(3), pages 618-627, September.
    2. Pingke Li, 2016. "A Note on the Linearly and Quadratically Weighted Kappa Coefficients," Psychometrika, Springer;The Psychometric Society, vol. 81(3), pages 795-801, September.
    3. Warrens, Matthijs J., 2013. "The Cicchetti–Allison weighting matrix is positive definite," Computational Statistics & Data Analysis, Elsevier, vol. 59(C), pages 180-182.

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