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Article: Exact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data

TitleExact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete data
Authors
KeywordsAsymptotic inference
Incomplete data
Paired binary data
Test-based confidence interval
Unconditional exact inference
Issue Date2009
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/
Citation
Statistics In Medicine, 2009, v. 28 n. 4, p. 625-641 How to Cite?
AbstractConfidence interval (CI) construction with respect to proportion/rate difference for paired binary data has become a standard procedure in many clinical trials and medical studies. When the sample size is small and incomplete data are present, asymptotic CIs may be dubious and exact CIs are not yet available. In this article, we propose exact and approximate unconditional test-based methods for constructing CI for proportion/rate difference in the presence of incomplete paired binary data. Approaches based on one-and two-sided Wald's tests will be considered. Unlike asymptotic CI estimators, exact unconditional CI estimators always guarantee their coverage probabilities at or above the pre-specified confidence level. Our empirical studies further show that (i) approximate unconditional CI estimators usually yield shorter expected confidence width (ECW) with their coverage probabilities being well controlled around the pre-specified confidence level; and (ii) the ECWs of the unconditional two-sided-test-based CI estimators are generally narrower than those of the unconditional one-sided-test-based CI estimators. Moreover, ECWs of asymptotic CIs may not necessarily be narrower than those of two-sided-based exact unconditional CIs. Two real examples will be used to illustrate our methodologies. Copyright © 2008 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/59890
ISSN
2015 Impact Factor: 1.533
2015 SCImago Journal Rankings: 1.811
ISI Accession Number ID
Funding AgencyGrant Number
Research Grant Council of the Hong Kong Special Administrative RegionHKBU261007
HKBU261508
Funding Information:

Research Grant Council of the Hong Kong Special Administrative Region: contract/grant numbers: HKBU261007, HKBU261508

References

 

DC FieldValueLanguage
dc.contributor.authorTang, MLen_HK
dc.contributor.authorLing, MHen_HK
dc.contributor.authorTian, GLen_HK
dc.date.accessioned2010-05-31T03:59:29Z-
dc.date.available2010-05-31T03:59:29Z-
dc.date.issued2009en_HK
dc.identifier.citationStatistics In Medicine, 2009, v. 28 n. 4, p. 625-641en_HK
dc.identifier.issn0277-6715en_HK
dc.identifier.urihttp://hdl.handle.net/10722/59890-
dc.description.abstractConfidence interval (CI) construction with respect to proportion/rate difference for paired binary data has become a standard procedure in many clinical trials and medical studies. When the sample size is small and incomplete data are present, asymptotic CIs may be dubious and exact CIs are not yet available. In this article, we propose exact and approximate unconditional test-based methods for constructing CI for proportion/rate difference in the presence of incomplete paired binary data. Approaches based on one-and two-sided Wald's tests will be considered. Unlike asymptotic CI estimators, exact unconditional CI estimators always guarantee their coverage probabilities at or above the pre-specified confidence level. Our empirical studies further show that (i) approximate unconditional CI estimators usually yield shorter expected confidence width (ECW) with their coverage probabilities being well controlled around the pre-specified confidence level; and (ii) the ECWs of the unconditional two-sided-test-based CI estimators are generally narrower than those of the unconditional one-sided-test-based CI estimators. Moreover, ECWs of asymptotic CIs may not necessarily be narrower than those of two-sided-based exact unconditional CIs. Two real examples will be used to illustrate our methodologies. Copyright © 2008 John Wiley & Sons, Ltd.en_HK
dc.languageengen_HK
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/en_HK
dc.relation.ispartofStatistics in Medicineen_HK
dc.rightsStatistics in Medicine. Copyright © John Wiley & Sons Ltd.en_HK
dc.subjectAsymptotic inferenceen_HK
dc.subjectIncomplete dataen_HK
dc.subjectPaired binary dataen_HK
dc.subjectTest-based confidence intervalen_HK
dc.subjectUnconditional exact inferenceen_HK
dc.titleExact and approximate unconditional confidence intervals for proportion difference in the presence of incomplete dataen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0277-6715&volume=28&spage=625&epage=641.&date=2009&atitle=Exact+and+Approximate+Unconditional+Confidence+Intervals+for+Proportion+Difference+in+the+Presence+of+Incomplete+Dataen_HK
dc.identifier.emailTian, GL: gltian@hku.hken_HK
dc.identifier.authorityTian, GL=rp00789en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1002/sim.3490en_HK
dc.identifier.pmid19035467-
dc.identifier.scopuseid_2-s2.0-63149126942en_HK
dc.identifier.hkuros163555en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-63149126942&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume28en_HK
dc.identifier.issue4en_HK
dc.identifier.spage625en_HK
dc.identifier.epage641en_HK
dc.identifier.eissn1097-0258-
dc.identifier.isiWOS:000263005700006-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridTang, ML=7401974011en_HK
dc.identifier.scopusauthoridLing, MH=26423822200en_HK
dc.identifier.scopusauthoridTian, GL=25621549400en_HK
dc.identifier.citeulike4455601-

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