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Article: Bayesian computation for contingency tables with incomplete cell-counts

TitleBayesian computation for contingency tables with incomplete cell-counts
Authors
KeywordsBayesian inference
Grouped and nested Dirichlet distributions
Incomplete data
Inverse Bayes formulae
Stochastic representation
Issue Date2003
PublisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/
Citation
Statistica Sinica, 2003, v. 13 n. 1, p. 189-206 How to Cite?
AbstractThis article studies Bayesian analysis of contingency tables (or multinomial data) where the cell counts are not fully observed due to reasons such as nonresponse and misclassification, and derives the posterior distributions of the unknown cell probabilities in terms of various types of generalized Dirichlet distributions. For some special situations such as grouped and nested Dirichlet distributions, the posterior means of the unknown cell probabilities can be obtained in closed form by using inverse Bayes formulae and/or stochastic representation. When closed-form expressions do not exist, we suggest using importance sampling with a feasible proposal density to approximately compute the posterior quantities, and propose a procedure for choosing an effective proposal density. Applications are illustrated by sample surveys with nonresponse, crime survey data, death penalty attitude data, and misclassified multinomial data.
Persistent Identifierhttp://hdl.handle.net/10722/45356
ISSN
2015 Impact Factor: 0.838
2015 SCImago Journal Rankings: 2.292
References

 

DC FieldValueLanguage
dc.contributor.authorTian, GLen_HK
dc.contributor.authorWang Ng, Ken_HK
dc.contributor.authorGeng, Zen_HK
dc.date.accessioned2007-10-30T06:23:39Z-
dc.date.available2007-10-30T06:23:39Z-
dc.date.issued2003en_HK
dc.identifier.citationStatistica Sinica, 2003, v. 13 n. 1, p. 189-206en_HK
dc.identifier.issn1017-0405en_HK
dc.identifier.urihttp://hdl.handle.net/10722/45356-
dc.description.abstractThis article studies Bayesian analysis of contingency tables (or multinomial data) where the cell counts are not fully observed due to reasons such as nonresponse and misclassification, and derives the posterior distributions of the unknown cell probabilities in terms of various types of generalized Dirichlet distributions. For some special situations such as grouped and nested Dirichlet distributions, the posterior means of the unknown cell probabilities can be obtained in closed form by using inverse Bayes formulae and/or stochastic representation. When closed-form expressions do not exist, we suggest using importance sampling with a feasible proposal density to approximately compute the posterior quantities, and propose a procedure for choosing an effective proposal density. Applications are illustrated by sample surveys with nonresponse, crime survey data, death penalty attitude data, and misclassified multinomial data.en_HK
dc.format.extent205017 bytes-
dc.format.extent2525 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAcademia Sinica, Institute of Statistical Science. The Journal's web site is located at http://www.stat.sinica.edu.tw/statistica/en_HK
dc.relation.ispartofStatistica Sinicaen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectBayesian inferenceen_HK
dc.subjectGrouped and nested Dirichlet distributionsen_HK
dc.subjectIncomplete dataen_HK
dc.subjectInverse Bayes formulaeen_HK
dc.subjectStochastic representationen_HK
dc.titleBayesian computation for contingency tables with incomplete cell-countsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1017-0405&volume=13&issue=1&spage=189&epage=206&date=2003&atitle=Bayesian+computation+for+contingency+tables+with+incomplete+cell-countsen_HK
dc.identifier.emailTian, GL: gltian@hku.hken_HK
dc.identifier.emailWang Ng, K: kaing@hkucc.hku.hken_HK
dc.identifier.authorityTian, GL=rp00789en_HK
dc.identifier.authorityWang Ng, K=rp00765en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.scopuseid_2-s2.0-0012548114en_HK
dc.identifier.hkuros78450-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0012548114&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume13en_HK
dc.identifier.issue1en_HK
dc.identifier.spage189en_HK
dc.identifier.epage206en_HK
dc.publisher.placeTaiwan, Republic of Chinaen_HK
dc.identifier.scopusauthoridTian, GL=25621549400en_HK
dc.identifier.scopusauthoridWang Ng, K=7403178774en_HK
dc.identifier.scopusauthoridGeng, Z=7101959654en_HK

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