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Risk of Error and the Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification

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  • J. A. Roldan Nofuentes
  • J. D. Luna Del Castillo

Abstract

The accuracy of a binary diagnostic test is usually measured in terms of its sensitivity and its specificity, or through positive and negative predictive values. Another way to describe the validity of a binary diagnostic test is the risk of error and the kappa coefficient of the risk of error. The risk of error is the average loss that is caused when incorrectly classifying a non-diseased or a diseased patient, and the kappa coefficient of the risk of error is a measure of the agreement between the diagnostic test and the gold standard. In the presence of partial verification of the disease, the disease status of some patients is unknown, and therefore the evaluation of a diagnostic test cannot be carried out through the traditional method. In this paper, we have deduced the maximum likelihood estimators and variances of the risk of error and of the kappa coefficient of the risk of error in the presence of partial verification of the disease. Simulation experiments have been carried out to study the effect of the verification probabilities on the coverage of the confidence interval of the kappa coefficient.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:japsta:v:34:y:2007:i:8:p:887-898
    DOI: 10.1080/02664760701590681
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    Cited by:

    1. 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.
    2. Roldán Nofuentes, J.A. & Luna del Castillo, J.D. & Montero Alonso, M.A., 2009. "Determining sample size to evaluate and compare the accuracy of binary diagnostic tests in the presence of partial disease verification," Computational Statistics & Data Analysis, Elsevier, vol. 53(3), pages 742-755, January.

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