Statistical evidence in contingency tables analysis

dc.contributor.authorKateri, M.en
dc.contributor.authorBalakrishnan, N.en
dc.date.accessioned2015-11-24T17:21:12Z
dc.date.available2015-11-24T17:21:12Z
dc.identifier.issn0378-3758-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/12434
dc.rightsDefault Licence-
dc.subjectIndependenceen
dc.subjectAssociation modelsen
dc.subjectCorrelation modelsen
dc.subjectThe Law of Likelihooden
dc.subjectMisleading evidenceen
dc.subjectRobust likelihood functionen
dc.subjectAdjusted likelihooden
dc.titleStatistical evidence in contingency tables analysisen
heal.abstractThe likelihood ratio is used for measuring the strength of statistical evidence. The probability of observing strong misleading evidence along with that of observing weak evidence evaluate the performance of this measure. When the corresponding likelihood function is expressed in terms of a parametric statistical model that fails, the likelihood ratio retains its evidential value if the likelihood function is robust [Royall, R., Tsou, T.S., 2003. Interpreting statistical evidence by using imperfect models: robust adjusted likelihood functions. J. Roy. Statist. Soc. Ser. B 65, 391 404]. In this paper, we extend the theory of Royall and Tsou [2003. Interpreting statistical evidence by using imperfect models: robust adjusted likelihood functions. J. Roy. Statist. Soc., Ser. B 65, 391 404] to the case when the assumed working model is a characteristic model for two-way contingency tables (the model of independence, association and correlation models).We observe that association and correlation models are not equivalent in terms of statistical evidence. The association models are bounded by the maximum of the bump function while the correlation models are not.en
heal.accesscampus-
heal.fullTextAvailabilityTRUE-
heal.identifier.primary10.1016/j.jspi.2007.02.005-
heal.journalNameJournal of Statistical Planning and Inferenceen
heal.journalTypepeer reviewed-
heal.languageen-
heal.publicationDate2008-
heal.publisherElsevieren
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.typejournalArticle-
heal.type.elΆρθρο Περιοδικούel
heal.type.enJournal articleen

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