Table of Contents
Advances in Statistics
Volume 2014 (2014), Article ID 759527, 6 pages
http://dx.doi.org/10.1155/2014/759527
Research Article

On Marginal Dependencies of the 2 × 2 Kappa

Methodology and Statistics Unit, Institute of Psychology, Leiden University, P.O. Box 9555, 2300 RB Leiden, The Netherlands

Received 19 July 2014; Accepted 1 November 2014; Published 19 November 2014

Academic Editor: Lynn Kuo

Copyright © 2014 Matthijs J. Warrens. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. M. J. Warrens, “On association coefficients for 2 × 2 tables and properties that do not depend on the marginal distributions,” Psychometrika, vol. 73, no. 4, pp. 777–789, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  2. D. A. Bloch and H. C. Kraemer, “2×2 kappa coefficients: measures of agreement or association,” Biometrics, vol. 45, no. 1, pp. 269–287, 1989. View at Publisher · View at Google Scholar · View at Scopus
  3. J. L. Fleiss, “Measuring agreement between two judges on the presence or absence of a trait,” Biometrics, vol. 31, no. 3, pp. 651–659, 1975. View at Google Scholar · View at MathSciNet · View at Scopus
  4. R. L. Brennan and D. J. Prediger, “Coefficient kappa: some uses, misuses, and alternatives,” Educational and Psychological Measurement, vol. 41, pp. 687–699, 1981. View at Google Scholar
  5. J. Cohen, “A coefficient of agreement for nominal scales,” Educational and Psychological Measurement, vol. 20, pp. 37–46, 1960. View at Publisher · View at Google Scholar
  6. L. M. Hsu and R. Field, “Interrater agreement measures: comments on kappan, Cohen's kappa, Scott's π, and Aickin's α,” Understanding Statistics, vol. 2, no. 3, pp. 205–219, 2003. View at Publisher · View at Google Scholar
  7. H. C. Kraemer, “Ramifications of a population model for κ as a coefficient of reliability,” Psychometrika, vol. 44, no. 4, pp. 461–472, 1979. View at Publisher · View at Google Scholar · View at Scopus
  8. J. Sim and C. C. Wright, “The kappa statistic in reliability studies: use, interpretation, and sample size requirements,” Physical Therapy, vol. 85, no. 3, pp. 257–268, 2005. View at Google Scholar · View at Scopus
  9. A. R. Feinstein and D. V. Cicchetti, “High agreement but low kappa: I. the problems of two paradoxes,” Journal of Clinical Epidemiology, vol. 43, no. 6, pp. 543–549, 1990. View at Publisher · View at Google Scholar · View at Scopus
  10. C. A. Lantz and E. Nebenzahl, “Behavior and interpretation of the κ statistic: resolution of the two paradoxes,” Journal of Clinical Epidemiology, vol. 49, no. 4, pp. 431–434, 1996. View at Publisher · View at Google Scholar · View at Scopus
  11. M. Maclure and W. C. Willett, “Misinterpretation and misuse of the Kappa statistic,” American Journal of Epidemiology, vol. 126, no. 2, pp. 161–169, 1987. View at Publisher · View at Google Scholar · View at Scopus
  12. A. Von Eye and M. Von Eye, “On the marginal dependency of Cohen's κ,” European Psychologist, vol. 13, no. 4, pp. 305–315, 2008. View at Publisher · View at Google Scholar · View at Scopus
  13. W. D. Thompson and S. D. Walter, “A reappraisal of the kappa coefficient,” Journal of Clinical Epidemiology, vol. 41, no. 10, pp. 949–958, 1988. View at Publisher · View at Google Scholar · View at Scopus
  14. W. Vach, “The dependence of Cohen's kappa on the prevalence does not matter,” Journal of Clinical Epidemiology, vol. 58, no. 7, pp. 655–661, 2005. View at Publisher · View at Google Scholar · View at Scopus
  15. T. Byrt, J. Bishop, and J. B. Carlin, “Bias, prevalence and kappa,” Journal of Clinical Epidemiology, vol. 46, no. 5, pp. 423–429, 1993. View at Publisher · View at Google Scholar · View at Scopus
  16. M. J. Warrens, “A formal proof of a paradox associated with Cohen's kappa,” Journal of Classification, vol. 27, no. 3, pp. 322–332, 2010. View at Publisher · View at Google Scholar · View at Scopus
  17. M. J. Warrens, “On similarity coefficients for 2×2 tables and correction for chance,” Psychometrika, vol. 73, no. 3, pp. 487–502, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus