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Asymptotic analysis of reliability measures for an imperfect dichotomous test

To access the reliability of a new dichotomous test and to capture the random variability of its results in the absence of a gold standard, two measures, the inconsistent acceptance probability (IAP) and inconsistent rejection probability (IRP), were introduced in the literature. In this paper, we f...

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Autor principal: Slynko, Alla
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8492041/
https://www.ncbi.nlm.nih.gov/pubmed/34629758
http://dx.doi.org/10.1007/s00362-021-01266-9
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author Slynko, Alla
author_facet Slynko, Alla
author_sort Slynko, Alla
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description To access the reliability of a new dichotomous test and to capture the random variability of its results in the absence of a gold standard, two measures, the inconsistent acceptance probability (IAP) and inconsistent rejection probability (IRP), were introduced in the literature. In this paper, we first analyze the limiting behavior of both measures as the number of test repetitions increases and derive the corresponding accuracy estimates and rates of convergence. To overcome possible limitations of IRP and IAP, we then introduce a one-parameter family of refined reliability measures, [Formula: see text] . Such measures characterize the consistency of the results of a dichotomous test in the absence of a gold standard as the threshold for a positive aggregate test result varies. Similar to IRP and IAP, we also derive corresponding accuracy estimates and rates of convergence for [Formula: see text] as the number k of test repetitions increases. SUPPLEMENTARY INFORMATION: The online version supplementary material available at 10.1007/s00362-021-01266-9.
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spelling pubmed-84920412021-10-06 Asymptotic analysis of reliability measures for an imperfect dichotomous test Slynko, Alla Stat Pap (Berl) Regular Article To access the reliability of a new dichotomous test and to capture the random variability of its results in the absence of a gold standard, two measures, the inconsistent acceptance probability (IAP) and inconsistent rejection probability (IRP), were introduced in the literature. In this paper, we first analyze the limiting behavior of both measures as the number of test repetitions increases and derive the corresponding accuracy estimates and rates of convergence. To overcome possible limitations of IRP and IAP, we then introduce a one-parameter family of refined reliability measures, [Formula: see text] . Such measures characterize the consistency of the results of a dichotomous test in the absence of a gold standard as the threshold for a positive aggregate test result varies. Similar to IRP and IAP, we also derive corresponding accuracy estimates and rates of convergence for [Formula: see text] as the number k of test repetitions increases. SUPPLEMENTARY INFORMATION: The online version supplementary material available at 10.1007/s00362-021-01266-9. Springer Berlin Heidelberg 2021-10-05 2022 /pmc/articles/PMC8492041/ /pubmed/34629758 http://dx.doi.org/10.1007/s00362-021-01266-9 Text en © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021 This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Regular Article
Slynko, Alla
Asymptotic analysis of reliability measures for an imperfect dichotomous test
title Asymptotic analysis of reliability measures for an imperfect dichotomous test
title_full Asymptotic analysis of reliability measures for an imperfect dichotomous test
title_fullStr Asymptotic analysis of reliability measures for an imperfect dichotomous test
title_full_unstemmed Asymptotic analysis of reliability measures for an imperfect dichotomous test
title_short Asymptotic analysis of reliability measures for an imperfect dichotomous test
title_sort asymptotic analysis of reliability measures for an imperfect dichotomous test
topic Regular Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8492041/
https://www.ncbi.nlm.nih.gov/pubmed/34629758
http://dx.doi.org/10.1007/s00362-021-01266-9
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