Influence of the slope in percentile estimation through binary regression for dose-finding experiments

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dc.contributor.authorFlournoy, Nancy
dc.contributor.authorMoler Cuiral, José Antonio
dc.contributor.authorSada Allo, Maider
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoa
dc.date.accessioned2025-03-04T07:28:27Z
dc.date.available2025-03-04T07:28:27Z
dc.date.issued2024-12-04
dc.date.updated2025-03-04T07:17:50Z
dc.description.abstractDose-finding experiments aim to estimate the dose having a specified proportion of positive responses by collecting data in the vicinity of this unknown target dose. The importance of estimating the slope as well as a target dose has been recognized long ago in the literature. With large slopes at the target dose, a small error in the target dose estimate will be far from the target. Alternatively, with small slopes at the target, a large error conveys negligible changes on the associated response rate.  Thus a reasonably reliable estimate of the slope of the response function at the target dose should accompany every reported target dose estimate. Assuming a monotone increasing dose-response relationship, we work with a sizable catalogue of binary location-scale regression models parameterized by the target dose and the slope at the target. A compound design is proposed for the joint estimation of both features.en
dc.description.sponsorshipThe second author was sponsored by Ministerio de Ciencia e Innovación PID2020-116873GB-I00 and PID2020-114031RB-I00; Spanish National Plan for Scientific and Technical Research and Innovation. Open access funding provided by Universidad Pública de Navarra.
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFlournoy, N., Moler, J., Sada, M. (2024) Influence of the slope in percentile estimation through binary regression for dose-finding experiments. Statistics, 1-25. https://doi.org/10.1080/02331888.2024.2434903.
dc.identifier.doi10.1080/02331888.2024.2434903
dc.identifier.issn0233-1888
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/53658
dc.language.isoeng
dc.publisherTaylor & Francis
dc.relation.ispartofStatistics, 1-25
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-116873GB-I00/ES/
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-114031RB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1080/02331888.2024.2434903
dc.rights© 2024 The Author(s). This is an Open Access article distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives License.
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectCompound optimal designsen
dc.subjectDose finding designsen
dc.subjectElfving's methoden
dc.titleInfluence of the slope in percentile estimation through binary regression for dose-finding experimentsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublicationec10e36c-8a72-4ba6-b481-289a596f1c4a
relation.isAuthorOfPublicationbc371364-3fe8-4e9f-b1dd-f5066f3db37f
relation.isAuthorOfPublication.latestForDiscoveryec10e36c-8a72-4ba6-b481-289a596f1c4a

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