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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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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer Berlin Heidelberg
2021
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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 |
collection | PubMed |
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. |
format | Online Article Text |
id | pubmed-8492041 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2021 |
publisher | Springer Berlin Heidelberg |
record_format | MEDLINE/PubMed |
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 |
work_keys_str_mv | AT slynkoalla asymptoticanalysisofreliabilitymeasuresforanimperfectdichotomoustest |