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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Format: | Article |
Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2021-12-01
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Series: | Revstat Statistical Journal |
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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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first_indexed | 2024-04-14T02:52:54Z |
format | Article |
id | doaj.art-d573ebd5d1b84b58a1b4185fb0d840ac |
institution | Directory Open Access Journal |
issn | 1645-6726 2183-0371 |
language | English |
last_indexed | 2024-04-14T02:52:54Z |
publishDate | 2021-12-01 |
publisher | Instituto Nacional de Estatística | Statistics Portugal |
record_format | Article |
series | Revstat Statistical Journal |
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 |
work_keys_str_mv | AT joseantonioroldannofuentes comparisonofthelikelihoodratiosoftwodiagnostictestssubjecttoapaireddesign AT saadbouhsidatyregad comparisonofthelikelihoodratiosoftwodiagnostictestssubjecttoapaireddesign |