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A unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary information
dc.contributor.author | Vera J.F | |
dc.contributor.author | Sánchez Zuleta C.C | |
dc.contributor.author | Rueda M.D.M. | |
dc.date.accessioned | 2023-10-24T19:23:52Z | |
dc.date.available | 2023-10-24T19:23:52Z | |
dc.date.created | 2023 | |
dc.identifier.issn | 9622802 | |
dc.identifier.uri | http://hdl.handle.net/11407/7876 | |
dc.description.abstract | Survey 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.iso | eng | |
dc.publisher | SAGE Publications Ltd | |
dc.relation.isversionof | https://www.scopus.com/inward/record.uri?eid=2-s2.0-85148528583&doi=10.1177%2f09622802231151211&partnerID=40&md5=08c3f6c2177f5432a16eb755d2aaf73c | |
dc.source | Stat. Methods Med. Res. | |
dc.source | Statistical Methods in Medical Research | eng |
dc.subject | Auxiliary information | eng |
dc.subject | Calibration weights | eng |
dc.subject | Categorical variables | eng |
dc.subject | Distance-based regression | eng |
dc.subject | Multidimensional scaling | eng |
dc.subject | Survey sampling | eng |
dc.title | A unified approach based on multidimensional scaling for calibration estimation in survey sampling with qualitative auxiliary information | eng |
dc.type | Article | |
dc.rights.accessrights | info:eu-repo/semantics/restrictedAccess | |
dc.publisher.program | Ciencias Básicas | spa |
dc.type.spa | Artículo | |
dc.identifier.doi | 10.1177/09622802231151211 | |
dc.publisher.faculty | Facultad de Ciencias Básicas | spa |
dc.affiliation | Vera, J.F., Department of Statistics and O.R, University of Granada, Granada, Spain | |
dc.affiliation | Sánchez Zuleta, C.C., Faculty of Basic Sciences, University of Medellin, Medellin, Colombia | |
dc.affiliation | Rueda, M.D.M., Department of Statistics and O.R, University of Granada, Granada, Spain | |
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dc.type.version | info:eu-repo/semantics/publishedVersion | |
dc.identifier.reponame | reponame:Repositorio Institucional Universidad de Medellín | |
dc.identifier.repourl | repourl:https://repository.udem.edu.co/ | |
dc.identifier.instname | instname:Universidad de Medellín |
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