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Estimation of the Average Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification

Author

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  • José Antonio Roldán-Nofuentes

    (Department of Statistics, School of Medicine, University of Granada, 18016 Granada, Spain)

  • Saad Bouh Regad

    (Epidemiology and Public Health Research Unit and URMCD, School of Medicine, University of Nouakchott Alaasriya, Nouakchott BP 880, Mauritania)

Abstract

The average kappa coefficient of a binary diagnostic test is a measure of the beyond-chance average agreement between the binary diagnostic test and the gold standard, and it depends on the sensitivity and specificity of the diagnostic test and on disease prevalence. In this manuscript the estimation of the average kappa coefficient of a diagnostic test in the presence of verification bias is studied. Confidence intervals for the average kappa coefficient are studied applying the methods of maximum likelihood and multiple imputation by chained equations. Simulation experiments have been carried out to study the asymptotic behaviors of the proposed intervals, given some application rules. The results obtained in our simulation experiments have shown that the multiple imputation by chained equations method provides better results than the maximum likelihood method. A function has been written in R to estimate the average kappa coefficient by applying multiple imputation. The results have been applied to the diagnosis of liver disease.

Suggested Citation

  • José Antonio Roldán-Nofuentes & Saad Bouh Regad, 2021. "Estimation of the Average Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification," Mathematics, MDPI, vol. 9(14), pages 1-17, July.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:14:p:1694-:d:596965
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    References listed on IDEAS

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    1. van Buuren, Stef & Groothuis-Oudshoorn, Karin, 2011. "mice: Multivariate Imputation by Chained Equations in R," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 45(i03).
    2. Andrzej S. Kosinski & Huiman X. Barnhart, 2003. "Accounting for Nonignorable Verification Bias in Assessment of Diagnostic Tests," Biometrics, The International Biometric Society, vol. 59(1), pages 163-171, March.
    3. J. A. Roldan Nofuentes & J. D. Luna Del Castillo, 2007. "Risk of Error and the Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification," Journal of Applied Statistics, Taylor & Francis Journals, vol. 34(8), pages 887-898.
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