A formal proof of a paradox associated with Cohen's kappa

Matthijs J. Warrens*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

50 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)322-332
Number of pages11
JournalJournal of Classification
Volume27
Issue number3
DOIs
Publication statusPublished - Nov-2010
Externally publishedYes

Keywords

  • Inter-rater reliability
  • Marginal asymmetry
  • Marginal homogeneity
  • Nominal agreement
  • Rearrangement inequality

Fingerprint

Dive into the research topics of 'A formal proof of a paradox associated with Cohen's kappa'. Together they form a unique fingerprint.

Cite this