The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses

Composite endpoints, consisting of the union of two or more outcomes, are often used as the primary endpoint in time-to-event randomized clinical trials. Previously, Gómez and Lagakos provided a method to guide the decision between using a composite endpoint instead of one of its components when tes...

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Detalles Bibliográficos
Autores: Gómez, Guadalupe, Gómez-Mateu, Moisés
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/88935
Acceso en línea:https://hdl.handle.net/2117/88935
Access Level:acceso abierto
Palabra clave:Asymptotic relative efficiency
composite endpoint
logrank test
sample size
simulation
survival analysis
Classificació AMS::62 Statistics::62N Survival analysis and censored data
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
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spelling The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypothesesGómez, GuadalupeGómez-Mateu, MoisésAsymptotic relative efficiencycomposite endpointlogrank testsample sizesimulationsurvival analysisClassificació AMS::62 Statistics::62N Survival analysis and censored dataClassificació AMS::62 Statistics::62P ApplicationsÀrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàticaComposite endpoints, consisting of the union of two or more outcomes, are often used as the primary endpoint in time-to-event randomized clinical trials. Previously, Gómez and Lagakos provided a method to guide the decision between using a composite endpoint instead of one of its components when testing the effect of a treatment in a randomized clinical trial. Consider the problem of testing the null hypotheses of no treatment effect by means of either the single component or the composite endpoint. In this paper we prove that the usual interpretation of the asymptotic relative efficiency as the reciprocal ratio of the sample sizes required for two test procedures, for the same null and alternative hypothesis, and attaining the same power at the same significance level, can be extended to the test procedures considered here for two different null and alternative hypotheses. A simulation to study the relationship between asymptotic relative efficiency and finite sample sizes is carried out.Peer ReviewedInstitut d'Estadística de Catalunya20142014-06-1220162016-07-20journal articlehttp://purl.org/coar/resource_type/c_6501NAhttp://purl.org/coar/version/c_be7fb7dd8ff6fe43info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/88935reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/889352026-05-27T15:37:01Z
dc.title.none.fl_str_mv The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
title The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
spellingShingle The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
Gómez, Guadalupe
Asymptotic relative efficiency
composite endpoint
logrank test
sample size
simulation
survival analysis
Classificació AMS::62 Statistics::62N Survival analysis and censored data
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
title_short The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
title_full The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
title_fullStr The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
title_full_unstemmed The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
title_sort The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
dc.creator.none.fl_str_mv Gómez, Guadalupe
Gómez-Mateu, Moisés
author Gómez, Guadalupe
author_facet Gómez, Guadalupe
Gómez-Mateu, Moisés
author_role author
author2 Gómez-Mateu, Moisés
author2_role author
dc.subject.none.fl_str_mv Asymptotic relative efficiency
composite endpoint
logrank test
sample size
simulation
survival analysis
Classificació AMS::62 Statistics::62N Survival analysis and censored data
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
topic Asymptotic relative efficiency
composite endpoint
logrank test
sample size
simulation
survival analysis
Classificació AMS::62 Statistics::62N Survival analysis and censored data
Classificació AMS::62 Statistics::62P Applications
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística matemàtica
description Composite endpoints, consisting of the union of two or more outcomes, are often used as the primary endpoint in time-to-event randomized clinical trials. Previously, Gómez and Lagakos provided a method to guide the decision between using a composite endpoint instead of one of its components when testing the effect of a treatment in a randomized clinical trial. Consider the problem of testing the null hypotheses of no treatment effect by means of either the single component or the composite endpoint. In this paper we prove that the usual interpretation of the asymptotic relative efficiency as the reciprocal ratio of the sample sizes required for two test procedures, for the same null and alternative hypothesis, and attaining the same power at the same significance level, can be extended to the test procedures considered here for two different null and alternative hypotheses. A simulation to study the relationship between asymptotic relative efficiency and finite sample sizes is carried out.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-06-12
2016
2016-07-20
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
NA
http://purl.org/coar/version/c_be7fb7dd8ff6fe43
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/88935
url https://hdl.handle.net/2117/88935
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Institut d'Estadística de Catalunya
publisher.none.fl_str_mv Institut d'Estadística de Catalunya
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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