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Chance-corrected measures for 2 × 2 tables that coincide with weighted kappa
Article first published online: 7 DEC 2010
DOI: 10.1348/2044-8317.002001
©2010 The British Psychological Society
Issue
British Journal of Mathematical and Statistical Psychology
Volume 64, Issue 2, pages 355–365, May 2011
Additional Information
How to Cite
Warrens, M. J. (2011), Chance-corrected measures for 2 × 2 tables that coincide with weighted kappa. British Journal of Mathematical and Statistical Psychology, 64: 355–365. doi: 10.1348/2044-8317.002001
Publication History
- Issue published online: 15 APR 2011
- Article first published online: 7 DEC 2010
- Received 23 December 2009; revised version received 02 August 2010
- Abstract
- Article
- References
- Cited By
Cohen's kappa is presently a standard tool for the analysis of agreement in a 2 × 2 reliability study, and weighted kappa is a standard statistic for summarizing a 2 × 2 validity study. The special cases of weighted kappa, for example Cohen's kappa, are chance-corrected measures of association. For various measures of 2 × 2 association it has been observed in the literature that, after correction for chance, they coincide with a special case of weighted kappa. This paper presents the general function, linear in both numerator and denominator, that becomes weighted kappa after correction for chance.