Analysis of the Weighted Kappa and Its Maximum with Markov Moves

Fabio Rapallo ()
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Fabio Rapallo: University of Genova

Psychometrika, 2022, vol. 87, issue 4, No 4, 1270-1289

Abstract: 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.

Keywords: algebraic statistics; Markov bases; ordinal data; rater agreement; pairwise agreement; simulated annealing (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s11336-022-09844-y

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