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Recombining partitions via unimodality tests

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dc.affiliation.dptoUC3M. Departamento de Estadísticaes
dc.contributor.authorÁlvarez, Adolfo
dc.contributor.authorPeña, Daniel
dc.contributor.editorUniversidad Carlos III de Madrid. Departamento de Estadísticaes
dc.date.accessioned2014-04-02T14:00:53Z
dc.date.available2014-04-02T14:00:53Z
dc.date.issued2013-03
dc.description.abstractIn this article we propose a recombination procedure for previously split data. It is basedon the study of modes in the density of the data, since departing from unimodality canbe a sign of the presence of clusters. We develop an algorithm that integrates a splitting process inherited from the SAR algorithm (Peña et al., 2004) with unimodality tests such as the dip test proposed by Hartigan and Hartigan (1985), and finally, we use anetwork configuration to visualize the results. We show that this can be a useful tool to detect heterogeneity in the data, but limited to univariate data because of the nature of the dip test. In a second stage we discuss the use of multivariate mode detection tests to avoid dimensionality reduction techniques such as projecting multivariate data into one dimension. The results of the application of multivariate unimodality tests show that is possible to detect the cluster structure of the data, although more research can be oriented to estimate the proper fine-tuning of some parameters of the test for a given dataset or distribution.en
dc.description.sponsorshipWork partially supported by Spanish Ministry of Science and Innovation, research projects SEJ2007-64500 and ECO2012-38442en
dc.format.mimetypeapplication/pdf
dc.identifier.repecws130706
dc.identifier.urihttps://hdl.handle.net/10016/18706
dc.identifier.uxxiDT/0000001189
dc.language.isoenges
dc.relation.ispartofseriesStatistics and Econometrics Seriesen
dc.relation.ispartofseries13-07
dc.relation.projectIDGobierno de España. ECO2012-38442es
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España*
dc.rights.accessRightsopen accessen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/*
dc.subject.ecienciaEstadísticaes
dc.subject.otherCluster analysisen
dc.subject.otherUnimodalityen
dc.subject.otherDip testen
dc.titleRecombining partitions via unimodality testsen
dc.typeworking paper*
dc.type.hasVersionSMUR*
dspace.entity.typePublication
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