On Marginal Dependencies of the 2 × 2 Kappa. (19th November 2014)

• Record Type: Journal Article
• Authors: Warrens, Matthijs J.
• Other Names: Kuo Lynn Academic Editor.
• Is Part Of: Advances in statistics. Volume 2014(2014)
• Publication Date: 2014-11-19
• Subjects: Statistics -- Periodicals; Statistics; Periodicals; 519.5
• DOI: 10.1155/2014/759527
• Languages: English
• ISSNs: 2356-6892

Abstract

Abstract : Cohen's kappa is a standard tool for the analysis of agreement in a 2 × 2 reliability study. Researchers are frequently only interested in the kappa-value of a sample. Various authors have observed that if two pairs of raters have the same amount of observed agreement, the pair whose marginal distributions are more similar to each other may have a lower kappa-value than the pair with more divergent marginal distributions. Here we present exact formulations of some of these properties. The results provide a better understanding of the 2 × 2 kappa for situations where it is used as a sample statistic.