Positive association among three binary variables and cross-product ratios

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dc.contributor.authorFienberg, SEko
dc.contributor.authorKim, Sung-Hoko
dc.date.accessioned2013-03-06T21:50:04Z-
dc.date.available2013-03-06T21:50:04Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2007-12-
dc.identifier.citationBIOMETRIKA, v.94, no.4, pp.999 - 1005-
dc.identifier.issn0006-3444-
dc.identifier.urihttp://hdl.handle.net/10203/88583-
dc.description.abstractWe show that, when the three-way association level among the three binary variables, X, U-1 and U-2 is fixed, D-P = pr( X = 1 | U-1 = 1) - pr( X = 1 | U-1 = 0) increases as the cross-product ratio of U-1 and U-2 increases under the assumption that X is positively associated with U-1 and U-2. We then discuss some implications of this property.-
dc.languageEnglish-
dc.publisherOXFORD UNIV PRESS-
dc.subjectCAUSAL INFERENCE-
dc.subjectCLASSIFICATIONS-
dc.subjectSTATISTICS-
dc.subjectMODELS-
dc.titlePositive association among three binary variables and cross-product ratios-
dc.typeArticle-
dc.identifier.wosid000251865200017-
dc.identifier.scopusid2-s2.0-37549051362-
dc.type.rimsART-
dc.citation.volume94-
dc.citation.issue4-
dc.citation.beginningpage999-
dc.citation.endingpage1005-
dc.citation.publicationnameBIOMETRIKA-
dc.identifier.doi10.1093/biomet/asm075-
dc.contributor.localauthorKim, Sung-Ho-
dc.contributor.nonIdAuthorFienberg, SE-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorconditional probability-
dc.subject.keywordAuthordiscriminating ability-
dc.subject.keywordAuthorprediction robustness-
dc.subject.keywordAuthorYule-Simpson paradox-
dc.subject.keywordPlusCAUSAL INFERENCE-
dc.subject.keywordPlusCLASSIFICATIONS-
dc.subject.keywordPlusSTATISTICS-
dc.subject.keywordPlusMODELS-
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