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Evaluation of confidence intervals for the kappa statistic when the assumption of marginal homogeneity is violated

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  • Sameer Parpia
  • John Koval
  • Allan Donner

Abstract

This article studies the robustness of confidence interval construction for the intraclass kappa statistic based on a dichotomous response when the assumption of marginal homogeneity across two raters is violated. Two methods of construction are considered: the goodness-of-fit approach and the modified Wald method. Evaluation was done by exact calculation of the confidence interval coverage produced by these approaches. It was found that under mild departures from marginal homogeneity (differences in rater success rates of $$>$$ > 10 %), the goodness- of-fit approach can be recommended. Moreover, under these same conditions, Cohen’s kappa tends to be less biased as a point estimator than the intraclass kappa statistic. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Sameer Parpia & John Koval & Allan Donner, 2013. "Evaluation of confidence intervals for the kappa statistic when the assumption of marginal homogeneity is violated," Computational Statistics, Springer, vol. 28(6), pages 2709-2718, December.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:6:p:2709-2718
    DOI: 10.1007/s00180-013-0424-7
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    References listed on IDEAS

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    1. Quinn McNemar, 1947. "Note on the sampling error of the difference between correlated proportions or percentages," Psychometrika, Springer;The Psychometric Society, vol. 12(2), pages 153-157, June.
    2. Matthijs Warrens, 2010. "Inequalities Between Kappa and Kappa-Like Statistics for k×k Tables," Psychometrika, Springer;The Psychometric Society, vol. 75(1), pages 176-185, March.
    3. Allan Dormer & Guangyong Zou, 2002. "Interval Estimation for a Difference Between Intraclass Kappa Statistics," Biometrics, The International Biometric Society, vol. 58(1), pages 209-215, March.
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