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A Unified Treatment of Agreement Coefficients and their Asymptotic Results: the Formula of the Weighted Mean of Weighted Ratios
Journal of Classification ( IF 1.8 ) Pub Date : 2020-10-07 , DOI: 10.1007/s00357-020-09366-1
Haruhiko Ogasawara

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.

中文翻译:

一致性系数及其渐近结果的统一处理:加权比率的加权平均值公式

显示了对多个评估者的一致性系数的统一处理,其中使用完全或低阶一致性处理 Bennett 等人类型、Scott 类型、其新变体和 Cohen 类型的机会预期比例。评分者。当多个评估者仅使用成对一致性时,还考虑了 Gwet 类型及其新变化的机会修正。为了统一处理,Conger 的均值比和比值均值两个公式合并为一个加权均值的父公式。给出了他们新的渐近结果的相应统一表达式。
更新日期:2020-10-07
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