@misc{10481/68744,
year = {2021},
url = {http://hdl.handle.net/10481/68744},
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.},
organization = {Spanish Ministry of Economy, Grant Number MTM2016-
76938-P},
organization = {University of Nouakchott Alaasriya},
publisher = {MDPI},
keywords = {Binary diagnostic test},
keywords = {Case-control design},
keywords = {Predictive values},
keywords = {Type I bivariate binomial distribution},
title = {Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design},
doi = {10.3390/math9060658},
author = {Regad, Saad Bouh and Roldán Nofuentes, José Antonio},
}