Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design
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MDPI
Materia
Binary diagnostic test Case-control design Predictive values Type I bivariate binomial distribution
Date
2021Referencia bibliográfica
Regad, S.B.; Roldán-Nofuentes, J.A. Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design. Mathematics 2021, 9, 658. https://doi.org/10.3390/math9060658
Patrocinador
Spanish Ministry of Economy, Grant Number MTM2016- 76938-P; University of Nouakchott AlaasriyaRésumé
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.