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dc.contributor.authorGómez Melis, Guadalupe
dc.contributor.authorGómez Mateu, Moisés
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Estadística i Investigació Operativa
dc.date.accessioned2015-09-29T17:21:33Z
dc.date.available2015-09-29T17:21:33Z
dc.date.created2014-06
dc.date.issued2014-06
dc.identifier.citationGomez, G., Gomez, M. The asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses. "SORT: statistics and operations research transactions", Juny 2014, vol. 38, núm. 1, p. 73-88.
dc.identifier.issn1696-2281
dc.identifier.urihttp://hdl.handle.net/2117/77179
dc.description.abstractComposite 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.
dc.format.extent16 p.
dc.language.isoeng
dc.publisherInstitut d'Estadística de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa
dc.subject.otherAsymptotic relative efficiency
dc.subject.othercomposite endpoint
dc.subject.otherlogrank test
dc.subject.othersample size
dc.subject.othersimulation
dc.subject.othersurvival analysis. MSC: 62N03
dc.subject.other62P10
dc.titleThe asymptotic relative efficiency and the ratio of sample sizes when testing two different null hypotheses
dc.typeArticle
dc.contributor.groupUniversitat Politècnica de Catalunya. GRBIO - Grup de Recerca en Bioestadística i Bioinformàtica
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::62 Statistics::62P Applications
dc.relation.publisherversionhttp://www.raco.cat/index.php/SORT/article/view/277219/365151
dc.rights.accessOpen Access
local.identifier.drac15357187
dc.description.versionPostprint (published version)
local.citation.authorGomez, G.; Gomez, M.
local.citation.publicationNameSORT: statistics and operations research transactions
local.citation.volume38
local.citation.number1
local.citation.startingPage73
local.citation.endingPage88


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