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Article: A multivariate random-effects model with restricted parameters: Application to assessing radiation therapy for brain tumours

TitleA multivariate random-effects model with restricted parameters: Application to assessing radiation therapy for brain tumours
Authors
Issue Date2006
PublisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/
Citation
Statistics In Medicine, 2006, v. 25 n. 11, p. 1948-1959 How to Cite?
AbstractIn clinical studies, multiple endpoints are often measured for each patient longitudinally. The multivariate random-effects or random coefficient model has been a useful method for analysis. However, medical research problems may impose restrictions on the model parameters of interests. For example, in a paediatric brain tumour study on radiation therapy, there is a natural ordering in the white matter relaxation time of brain tissues among different regions surrounding the primary tumour, i.e. the closer a specific region of brain tissues is to the centre of primary tumour, the shorter is the relaxation time. Such parameter constraints should be accounted for in the analysis. This article proposes a class of multivariate random coefficient models with restricted parameters and derives its maximum likelihood estimates (MLE). We propose a modified EM algorithm for the quadratic optimalization with linear inequality constraints necessary in deriving the MLE. The method is applied to analysing the paediatric brain tumour study. Copyright © 2005 John Wiley & Sons, Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/172421
ISSN
2015 Impact Factor: 1.533
2015 SCImago Journal Rankings: 1.811
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorFang, HBen_US
dc.contributor.authorTian, GLen_US
dc.contributor.authorXiong, Xen_US
dc.contributor.authorTan, Men_US
dc.date.accessioned2012-10-30T06:22:25Z-
dc.date.available2012-10-30T06:22:25Z-
dc.date.issued2006en_US
dc.identifier.citationStatistics In Medicine, 2006, v. 25 n. 11, p. 1948-1959en_US
dc.identifier.issn0277-6715en_US
dc.identifier.urihttp://hdl.handle.net/10722/172421-
dc.description.abstractIn clinical studies, multiple endpoints are often measured for each patient longitudinally. The multivariate random-effects or random coefficient model has been a useful method for analysis. However, medical research problems may impose restrictions on the model parameters of interests. For example, in a paediatric brain tumour study on radiation therapy, there is a natural ordering in the white matter relaxation time of brain tissues among different regions surrounding the primary tumour, i.e. the closer a specific region of brain tissues is to the centre of primary tumour, the shorter is the relaxation time. Such parameter constraints should be accounted for in the analysis. This article proposes a class of multivariate random coefficient models with restricted parameters and derives its maximum likelihood estimates (MLE). We propose a modified EM algorithm for the quadratic optimalization with linear inequality constraints necessary in deriving the MLE. The method is applied to analysing the paediatric brain tumour study. Copyright © 2005 John Wiley & Sons, Ltd.en_US
dc.languageengen_US
dc.publisherJohn Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/en_US
dc.relation.ispartofStatistics in Medicineen_US
dc.subject.meshAdolescenten_US
dc.subject.meshAlgorithmsen_US
dc.subject.meshBrain Neoplasms - Radiotherapyen_US
dc.subject.meshChilden_US
dc.subject.meshChild, Preschoolen_US
dc.subject.meshHumansen_US
dc.subject.meshLongitudinal Studiesen_US
dc.subject.meshMagnetic Resonance Imagingen_US
dc.subject.meshModels, Biologicalen_US
dc.subject.meshModels, Statisticalen_US
dc.subject.meshMultivariate Analysisen_US
dc.subject.meshRadiotherapyen_US
dc.titleA multivariate random-effects model with restricted parameters: Application to assessing radiation therapy for brain tumoursen_US
dc.typeArticleen_US
dc.identifier.emailTian, GL: gltian@hku.hken_US
dc.identifier.authorityTian, GL=rp00789en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1002/sim.2364en_US
dc.identifier.pmid16220474-
dc.identifier.scopuseid_2-s2.0-33744784284en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-33744784284&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume25en_US
dc.identifier.issue11en_US
dc.identifier.spage1948en_US
dc.identifier.epage1959en_US
dc.identifier.isiWOS:000238088000014-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridFang, HB=7402543028en_US
dc.identifier.scopusauthoridTian, GL=25621549400en_US
dc.identifier.scopusauthoridXiong, X=7201634310en_US
dc.identifier.scopusauthoridTan, M=7401464681en_US

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