A Formal Proof of a Paradox Associated with Cohen’s Kappa

Matthijs J. Warrens

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A Formal Proof of a Paradox Associated with Cohen’s Kappa

机译：与Cohen的Kappa相关的悖论的形式证明

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摘要

Suppose two judges each classify a group of objects into one of several nominal categories. It has been observed in the literature that, for fixed observed agreement between the judges, Cohen’s kappa penalizes judges with similar marginals compared to judges who produce different marginals. This paper presents a formal proof of this phenomenon.

机译：假设两个法官各自将一组对象分类为几个名义类别之一。在文献中已经观察到，对于法官之间的固定观察达成的协议，与产生不同边际利润的法官相比，科恩的kappa会惩罚具有相似边际利润的法官。本文提出了这种现象的正式证明。

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来源
《Journal of Classification》 |2010年第3期|p.322-332|共11页
作者
Matthijs J. Warrens;
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正文语种 eng
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关键词
Inter; rater reliability – Nominal agreement – Rearrangement inequality – Marginal homogeneity – Marginal asymmetry;

机译：等级间可靠性–名义协议–重排不等式–边际均匀性–边际不对称;

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1. A Formal Proof of a Paradox Associated with Cohen’s Kappa [J] . Matthijs J. Warrens Journal of classification . 2010,第3期

机译：与Cohen Kappa相关的悖论的正式证明
2. Including omission mistakes in the calculation of Cohen's Kappa and an analysis of the coefficient's paradox features [J] . Simon P Educational and Psychological Measurement . 2006,第5期

机译：在计算Cohen的Kappa时将遗漏错误包括在内，并分析系数的悖论特征
3. Formal Proof of Banach-Tarski Paradox [J] . Daniel de Rauglaudre Journal of Formalized Reasoning . 2017,第1期

机译：Banach-Tarski悖论的形式证明
4. Reliability assessment for remote sensing data: Beyond Cohen's kappa [C] . Kerr Gregoire H. G., Fischer Christian, Reulke Ralf IEEE International Geoscience and Remote Sensing Symposium . 2015

机译：遥感数据的可靠性评估：超越Cohen的kappa
5. A Comparison of Cohen's Kappa and Gwet's AC1 with a Mass Shooting Classification Index: A Study of Rater Uncertainty [D] . Keener, Ashley. 2020

机译：Cohen's Kappa和GWET的AC1与大规模拍摄分类指数的比较：患者不确定性研究
6. Suppl-1 M5: High Agreement and High Prevalence: The Paradox of Cohen’s Kappa [O] . Slavica Zec, Nicola Soriani, Rosanna Comoretto, 2017

机译：Suppl-1M5：高度一致和普遍性：科恩的Kappa悖论
7. High Agreement and High Prevalence: The Paradox of Cohen’s Kappa [O] . Zec, Slavica, Soriani, Nicola, Comoretto, Rosanna, 2017

机译：高度一致和普遍性：科恩卡帕的悖论

A Formal Proof of a Paradox Associated with Cohen’s Kappa

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