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Analysis of the Weighted Kappa and Its Maximum with Markov Moves

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  • Fabio Rapallo

    (University of Genova)

Abstract

In this paper, the notion of Markov move from algebraic statistics is used to analyze the weighted kappa indices in rater agreement problems. In particular, the problem of the maximum kappa and its dependence on the choice of the weighting schemes are discussed. The Markov moves are also used in a simulated annealing algorithm to actually find the configuration of maximum agreement.

Suggested Citation

  • Fabio Rapallo, 2022. "Analysis of the Weighted Kappa and Its Maximum with Markov Moves," Psychometrika, Springer;The Psychometric Society, vol. 87(4), pages 1270-1289, December.
    • Handle: RePEc:spr:psycho:v:87:y:2022:i:4:d:10.1007_s11336-022-09844-y
    DOI: 10.1007/s11336-022-09844-y
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    References listed on IDEAS

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    1. Fabio Rapallo, 2005. "Algebraic exact inference for rater agreement models," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 14(1), pages 45-66, February.
    2. Fabio Rapallo, 2003. "Algebraic Markov Bases and MCMC for Two‐Way Contingency Tables," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 30(2), pages 385-397, June.
    3. B Suman & P Kumar, 2006. "A survey of simulated annealing as a tool for single and multiobjective optimization," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 57(10), pages 1143-1160, October.
    4. 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.
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