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Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design

Author

Listed:
  • Saad Bouh Regad

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

  • José Antonio Roldán-Nofuentes

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

Abstract

Use of a case-control design to compare the accuracy of two binary diagnostic tests is frequent in clinical practice. This design consists of applying the two diagnostic tests to all of the individuals in a sample of those who have the disease and in another sample of those who do not have the disease. This manuscript studies the comparison of the predictive values of two diagnostic tests subject to a case-control design. A global hypothesis test, based on the chi-square distribution, is proposed to compare the predictive values simultaneously, as well as other alternative methods. The hypothesis tests studied require knowing the prevalence of the disease. Simulation experiments were carried out to study the type I errors and the powers of the hypothesis tests proposed, as well as to study the effect of a misspecification of the prevalence on the asymptotic behavior of the hypothesis tests and on the estimators of the predictive values. The proposed global hypothesis test was extended to the situation in which there are more than two diagnostic tests. The results have been applied to the diagnosis of coronary disease.

Suggested Citation

  • Saad Bouh Regad & José Antonio Roldán-Nofuentes, 2021. "Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design," Mathematics, MDPI, vol. 9(6), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:6:p:658-:d:520361
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    References listed on IDEAS

    as
    1. Roldán Nofuentes, José Antonio & Luna del Castillo, Juan de Dios & Montero Alonso, Miguel Ángel, 2012. "Global hypothesis test to simultaneously compare the predictive values of two binary diagnostic tests," Computational Statistics & Data Analysis, Elsevier, vol. 56(5), pages 1161-1173.
    2. Wendy Leisenring & Todd Alono & Margaret Sullivan Pepe, 2000. "Comparisons of Predictive Values of Binary Medical Diagnostic Tests for Paired Designs," Biometrics, The International Biometric Society, vol. 56(2), pages 345-351, June.
    Full references (including those not matched with items on IDEAS)

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