A Unified Treatment of Agreement Coefficients and their Asymptotic Results: the Formula of the Weighted Mean of Weighted Ratios

Haruhiko Ogasawara ()
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Haruhiko Ogasawara: Otaru University of Commerce 3-5-21

Journal of Classification, 2021, vol. 38, issue 2, No 11, 390-422

Abstract: Abstract A unified treatment of agreement coefficients for multiple raters is shown, where the chance-expected proportions of the Bennett et al.-type, Scott-type, its new variation, and Cohen-type are dealt with using full or lower-order agreement among raters. When only pairwise agreement is used for multiple raters, chance corrections of the Gwet-type and its new variation are also considered. For the unified treatment, Conger’s two formulas of the ratio of means and the mean of ratios are combined into a parent formula of the weighted mean of weighted ratios. The corresponding unified expressions of their new asymptotic results are presented.

Keywords: Cohen’s kappa; Asymptotic variance; Weighted agreement coefficients; Disagreement; The Cornish-Fisher expansion; Asymptotic cumulants (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s00357-020-09366-1

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