On collapsing categories in two-way contingency tables

dc.contributor.authorKateri, M.en
dc.contributor.authorIliopoulos, G.en
dc.date.accessioned2015-11-24T17:26:05Z
dc.date.available2015-11-24T17:26:05Z
dc.identifier.issn0233-1888-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13145
dc.rightsDefault Licence-
dc.subjectcontingency tablesen
dc.subjectcollapsing categoriesen
dc.subjectgeneralized association modelsen
dc.subjectf-divergenceen
dc.subjectcross-classified dataen
dc.subjectassociation modelsen
dc.subjectcanonical correlationen
dc.subjectordered categoriesen
dc.subjectmaximum-likelihooden
dc.subjectasymmetry modelsen
dc.subjectclassificationsen
dc.titleOn collapsing categories in two-way contingency tablesen
heal.abstractThe issue of collapsing categories of a contingency table's classification variables is well known and has been dealt with in the framework of classical models such as models of independence and association, canonical correlation and logistic regression. The most often used criterion is based on the homogeneity of the corresponding categories which was connected to association and correlation models by Goodman (1981 a,b) and Gilula (1986), respectively. In this paper we relate homogeneity to a class of generalized association models, based on the f-divergence. The main issue raised in this paper is that the homogeneity and the structural criteria can not be contradictory. It is proved that collapsing among homogeneous categories does not affect the underlying structure of the table.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primaryDoi 10.1080/0233188031000123780-
heal.identifier.secondary<Go to ISI>://000185769300006-
heal.identifier.secondaryhttp://www.tandfonline.com/doi/pdf/10.1080/0233188031000123780-
heal.journalNameStatisticsen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2003-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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