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dc.contributor.authorNegri, Margherita
dc.contributor.authorSprumont, Yves
dc.date.accessioned2016-03-20T00:02:04Z
dc.date.available2016-03-20T00:02:04Z
dc.date.issued2015-05
dc.identifier240870621
dc.identifier11341051-b020-4cf7-9431-91b75fdb3232
dc.identifier84926463546
dc.identifier000355044100011
dc.identifier.citationNegri , M & Sprumont , Y 2015 , ' Size invariant measures of association : characterization and difficulties ' , Mathematical Social Sciences , vol. 75 , pp. 115-122 . https://doi.org/10.1016/j.mathsocsci.2015.03.002en
dc.identifier.issn0165-4896
dc.identifier.urihttps://hdl.handle.net/10023/8443
dc.descriptionSprumont acknowledges support from the Fonds de Recherche sur la Soci été et la Culture of Québec.en
dc.description.abstractA measure of association on cross-classification tables is row-size invariant if it is unaffected by the multiplication of all entries in a row by the same positive number. It is class-size invariant if it is unaffected by the multiplication of all entries in a class (i.e., a row or a column). We prove that every class-size invariant measure of association assigns to each cross-classification table a number which depends only on the cross-product ratios of its 2×2 subtables. We submit that the degree of association should increase when mass is shifted from cells containing a proportion of observations lower than what is expected under statistical independence to cells containing a proportion higher than expected–provided that total mass in each class remains unchanged. We prove that no continuous row-size invariant measure of association satisfies this monotonicity axiom if there are at least four rows.
dc.format.extent8
dc.format.extent374167
dc.language.isoeng
dc.relation.ispartofMathematical Social Sciencesen
dc.subjectAssociationen
dc.subjectContingency tablesen
dc.subjectMargin-free measuresen
dc.subjectSize invarianceen
dc.subjectMonotonicityen
dc.subjectTransfer principleen
dc.subjectQA Mathematicsen
dc.subject.lccQAen
dc.titleSize invariant measures of association : characterization and difficultiesen
dc.typeJournal articleen
dc.contributor.institutionUniversity of St Andrews. School of Economics and Financeen
dc.identifier.doi10.1016/j.mathsocsci.2015.03.002
dc.description.statusPeer revieweden
dc.date.embargoedUntil2016-03-20


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