Towards Bayesian Evaluation of Seroprevalence Studies

Bayes’ Theorem represents a mathematical formalization of the common sense. What we know about the world today is what we knew yesterday plus what the data told us. The lack of understanding of this concept is the source of many errors and wrong judgements in the current COVID-19 pandemic. In this c...

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Main Authors: Jana Furstova, Zuzana Kratka, Tomas Furst, Jan Strojil, Ondrej Vencalek
Format: Article
Language:English
Published: MDPI AG 2021-01-01
Series:Medical Sciences Forum
Subjects:
Online Access:https://www.mdpi.com/2673-9992/4/1/11
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author Jana Furstova
Zuzana Kratka
Tomas Furst
Jan Strojil
Ondrej Vencalek
author_facet Jana Furstova
Zuzana Kratka
Tomas Furst
Jan Strojil
Ondrej Vencalek
author_sort Jana Furstova
collection DOAJ
description Bayes’ Theorem represents a mathematical formalization of the common sense. What we know about the world today is what we knew yesterday plus what the data told us. The lack of understanding of this concept is the source of many errors and wrong judgements in the current COVID-19 pandemic. In this contribution, we show how to use the framework of Bayesian inference to produce a reasonable estimate of seroprevalence from studies that use a single binary test. Bayes’ Theorem sometimes produces results that seem counter-intuitive at first sight. It is important to realize that the reality may be different from its image represented by test results. The extent to which these two worlds differ depends on the performance of the test (i.e., its sensitivity and specificity), and the prevalence of the tested condition.
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spelling doaj.art-6486a9c78ed547268d3e8d234a7b25502023-11-18T11:52:00ZengMDPI AGMedical Sciences Forum2673-99922021-01-01411110.3390/ECERPH-3-09006Towards Bayesian Evaluation of Seroprevalence StudiesJana Furstova0Zuzana Kratka1Tomas Furst2Jan Strojil3Ondrej Vencalek4Olomouc University Social Health Institute, Palacky University Olomouc, 77900 Olomouc, Czech RepublicImmunology Laboratory GENNET, 17000 Prague, Czech RepublicDepartment of Mathematical Analysis and Application of Mathematics, Faculty of Science, Palacky University Olomouc, 77900 Olomouc, Czech RepublicDepartment of Pharmacology, Faculty of Medicine and Dentistry, Palacky University Olomouc, 77515 Olomouc, Czech RepublicDepartment of Mathematical Analysis and Application of Mathematics, Faculty of Science, Palacky University Olomouc, 77900 Olomouc, Czech RepublicBayes’ Theorem represents a mathematical formalization of the common sense. What we know about the world today is what we knew yesterday plus what the data told us. The lack of understanding of this concept is the source of many errors and wrong judgements in the current COVID-19 pandemic. In this contribution, we show how to use the framework of Bayesian inference to produce a reasonable estimate of seroprevalence from studies that use a single binary test. Bayes’ Theorem sometimes produces results that seem counter-intuitive at first sight. It is important to realize that the reality may be different from its image represented by test results. The extent to which these two worlds differ depends on the performance of the test (i.e., its sensitivity and specificity), and the prevalence of the tested condition.https://www.mdpi.com/2673-9992/4/1/11Bayesianseroprevalenceantibodiesfalse positiveSARS-CoV-2COVID-19
spellingShingle Jana Furstova
Zuzana Kratka
Tomas Furst
Jan Strojil
Ondrej Vencalek
Towards Bayesian Evaluation of Seroprevalence Studies
Medical Sciences Forum
Bayesian
seroprevalence
antibodies
false positive
SARS-CoV-2
COVID-19
title Towards Bayesian Evaluation of Seroprevalence Studies
title_full Towards Bayesian Evaluation of Seroprevalence Studies
title_fullStr Towards Bayesian Evaluation of Seroprevalence Studies
title_full_unstemmed Towards Bayesian Evaluation of Seroprevalence Studies
title_short Towards Bayesian Evaluation of Seroprevalence Studies
title_sort towards bayesian evaluation of seroprevalence studies
topic Bayesian
seroprevalence
antibodies
false positive
SARS-CoV-2
COVID-19
url https://www.mdpi.com/2673-9992/4/1/11
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