Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design

Positive and negative likelihood ratios are parameters which are used to assess and compare the effectiveness of binary diagnostic tests. Both parameters only depend on the sensitivity and specificity of the diagnostic test and are equivalent to a relative risk. This article studies the comparison...

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Main Authors: José Antonio Roldán-Nofuentes, Saad Bouh Sidaty-Regad
Format: Article
Language:English
Published: Instituto Nacional de Estatística | Statistics Portugal 2021-12-01
Series:Revstat Statistical Journal
Subjects:
Online Access:https://revstat.ine.pt/index.php/REVSTAT/article/view/355
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author José Antonio Roldán-Nofuentes
Saad Bouh Sidaty-Regad
author_facet José Antonio Roldán-Nofuentes
Saad Bouh Sidaty-Regad
author_sort José Antonio Roldán-Nofuentes
collection DOAJ
description Positive and negative likelihood ratios are parameters which are used to assess and compare the effectiveness of binary diagnostic tests. Both parameters only depend on the sensitivity and specificity of the diagnostic test and are equivalent to a relative risk. This article studies the comparison of the likelihood ratios of two binary diagnostic tests subject to a paired design through confidence intervals. Six approximate confidence intervals are presented for the ratio of the likelihood ratios, and simulation experiments are carried out to study the coverage probabilities and the average lengths of the intervals considered, and some general rules of application are proposed. A method is also proposed to determine the sample size necessary to estimate the ratio between the likelihood ratios with a determined precision. The results were applied to two real examples.
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spelling doaj.art-d573ebd5d1b84b58a1b4185fb0d840ac2022-12-22T02:16:14ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712021-12-0119410.57805/revstat.v19i4.355Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired DesignJosé Antonio Roldán-Nofuentes 0Saad Bouh Sidaty-Regad 1University of GranadaUniversity of Nouakchott Positive and negative likelihood ratios are parameters which are used to assess and compare the effectiveness of binary diagnostic tests. Both parameters only depend on the sensitivity and specificity of the diagnostic test and are equivalent to a relative risk. This article studies the comparison of the likelihood ratios of two binary diagnostic tests subject to a paired design through confidence intervals. Six approximate confidence intervals are presented for the ratio of the likelihood ratios, and simulation experiments are carried out to study the coverage probabilities and the average lengths of the intervals considered, and some general rules of application are proposed. A method is also proposed to determine the sample size necessary to estimate the ratio between the likelihood ratios with a determined precision. The results were applied to two real examples. https://revstat.ine.pt/index.php/REVSTAT/article/view/355binary diagnostic testlikelihood ratiossample size
spellingShingle José Antonio Roldán-Nofuentes
Saad Bouh Sidaty-Regad
Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
Revstat Statistical Journal
binary diagnostic test
likelihood ratios
sample size
title Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
title_full Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
title_fullStr Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
title_full_unstemmed Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
title_short Comparison of the Likelihood Ratios of Two Diagnostic Tests Subject to a Paired Design
title_sort comparison of the likelihood ratios of two diagnostic tests subject to a paired design
topic binary diagnostic test
likelihood ratios
sample size
url https://revstat.ine.pt/index.php/REVSTAT/article/view/355
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