Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design
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 disea...
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| Format: | Article |
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MDPI AG
2021-03-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/9/6/658 |
| _version_ | 1797540761623855104 |
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| author | Saad Bouh Regad José Antonio Roldán-Nofuentes |
| author_facet | Saad Bouh Regad José Antonio Roldán-Nofuentes |
| author_sort | Saad Bouh Regad |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T13:06:01Z |
| format | Article |
| id | doaj.art-a002176d817e44c1ab9fe9025b737947 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-10T13:06:01Z |
| publishDate | 2021-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-a002176d817e44c1ab9fe9025b7379472023-11-21T11:10:06ZengMDPI AGMathematics2227-73902021-03-019665810.3390/math9060658Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control DesignSaad Bouh Regad0José Antonio Roldán-Nofuentes1Department of Epidemiology and Public Health Research Unit and URMCD, University of Nouakchott Alaasriya, Nouakchott BP 880, MauritaniaDepartment of Statistics (Biostatistics), School of Medicine, University of Granada, 18016 Granada, SpainUse 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.https://www.mdpi.com/2227-7390/9/6/658binary diagnostic testcase-control designpredictive valuestype I bivariate binomial distribution |
| spellingShingle | Saad Bouh Regad José Antonio Roldán-Nofuentes Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design Mathematics binary diagnostic test case-control design predictive values type I bivariate binomial distribution |
| title | Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design |
| title_full | Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design |
| title_fullStr | Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design |
| title_full_unstemmed | Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design |
| title_short | Global Hypothesis Test to Compare the Predictive Values of Diagnostic Tests Subject to a Case-Control Design |
| title_sort | global hypothesis test to compare the predictive values of diagnostic tests subject to a case control design |
| topic | binary diagnostic test case-control design predictive values type I bivariate binomial distribution |
| url | https://www.mdpi.com/2227-7390/9/6/658 |
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