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Handling Missing Values with Regularized Iterative Multiple Correspondence Analysis

hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorJOSSE, Julie
hal.structure.identifierQuality control and dynamic reliability [CQFD]
dc.contributor.authorCHAVENT, Marie
hal.structure.identifierUniversité Bordeaux Segalen - Bordeaux 2
dc.contributor.authorLIQUET, Benoit
hal.structure.identifierInstitut de Recherche Mathématique de Rennes [IRMAR]
dc.contributor.authorHUSSON, François
dc.date.accessioned2024-04-04T02:23:30Z
dc.date.available2024-04-04T02:23:30Z
dc.date.issued2012
dc.identifier.issn0176-4268
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189743
dc.description.abstractEnA common approach to deal with missing values in multivariate exploratory data analysis consists in minimizing the loss function over all non-missing elements. This can be achieved by EM-type algorithms where an iterative imputation of the missing values is performed during the estimation of the axes and components. This paper proposes such an algorithm, named iterative multiple correspondence analysis, to handle missing values in multiple correspondence analysis (MCA). This algorithm, based on an iterative PCA algorithm, is described and its properties are studied. We point out the over tting problem and propose a regularized version of the algorithm to overcome this major issue. Finally, performances of the regularized iterative MCA algorithm (implemented in the R-package named missMDA) are assessed from both simulations and a real dataset. Results are promising with respect to other methods such as the missing-data passive modi ed margin method, an adaptation of the missing passive method used in Gi 's Homogeneity analysis framework.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enHandling Missing Values with Regularized Iterative Multiple Correspondence Analysis
dc.typeArticle de revue
dc.identifier.doi10.1007/s00357-012-9097-0
dc.subject.halStatistiques [stat]/Calcul [stat.CO]
bordeaux.journalJournal of Classification
bordeaux.page91-116
bordeaux.volume29
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00763227
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00763227v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Classification&rft.date=2012&rft.volume=29&rft.issue=1&rft.spage=91-116&rft.epage=91-116&rft.eissn=0176-4268&rft.issn=0176-4268&rft.au=JOSSE,%20Julie&CHAVENT,%20Marie&LIQUET,%20Benoit&HUSSON,%20Fran%C3%A7ois&rft.genre=article


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