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A unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary information

dc.contributor.authorVera J.F
dc.contributor.authorSánchez Zuleta C.C
dc.contributor.authorRueda M.D.M.
dc.date.accessioned2023-10-24T19:23:52Z
dc.date.available2023-10-24T19:23:52Z
dc.date.created2023
dc.identifier.issn9622802
dc.identifier.urihttp://hdl.handle.net/11407/7876
dc.description.abstractSurvey calibration is a widely used method to estimate the population mean or total score of a target variable, particularly in medical research. In this procedure, auxiliary information related to the variable of interest is used to recalibrate the estimation weights. However, when the auxiliary information includes qualitative variables, traditional calibration techniques may be not feasible or the optimisation procedure may fail. In this article, we propose the use of linear calibration in conjunction with a multidimensional scaling-based set of continuous, uncorrelated auxiliary variables along with a suitable metric in a distance-based regression framework. The calibration weights are estimated using a projection of the auxiliary information on a low-dimensional Euclidean space. The approach becomes one of the linear calibration with quantitative variables avoiding the usual computational problems in the presence of qualitative auxiliary information. The new variables preserve the underlying assumption in linear calibration of a linear relationship between the auxiliary and target variables, and therefore the optimal properties of the linear calibration method remain true. The behaviour of this approach is examined using a Monte Carlo procedure and its value is illustrated by analysing real data sets and by comparing its performance with that of traditional calibration procedures. © The Author(s) 2023.eng
dc.language.isoeng
dc.publisherSAGE Publications Ltd
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85148528583&doi=10.1177%2f09622802231151211&partnerID=40&md5=08c3f6c2177f5432a16eb755d2aaf73c
dc.sourceStat. Methods Med. Res.
dc.sourceStatistical Methods in Medical Researcheng
dc.subjectAuxiliary informationeng
dc.subjectCalibration weightseng
dc.subjectCategorical variableseng
dc.subjectDistance-based regressioneng
dc.subjectMultidimensional scalingeng
dc.subjectSurvey samplingeng
dc.titleA unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary informationeng
dc.typeArticle
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programCiencias Básicasspa
dc.type.spaArtículo
dc.identifier.doi10.1177/09622802231151211
dc.publisher.facultyFacultad de Ciencias Básicasspa
dc.affiliationVera, J.F., Department of Statistics and O.R, University of Granada, Granada, Spain
dc.affiliationSánchez Zuleta, C.C., Faculty of Basic Sciences, University of Medellin, Medellin, Colombia
dc.affiliationRueda, M.D.M., Department of Statistics and O.R, University of Granada, Granada, Spain
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dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellín
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.instnameinstname:Universidad de Medellín


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