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1、ARandom-EffectsOrdinalRegressionModelforMultilevelAnalysisAuthor(s):DonaldHedekerandRobertD.GibbonsReviewedwork(s):Source:Biometrics,Vol.50,No.4(Dec.,1994),pp.933-944Publishedby:InternationalBiometricSocietyStableURL:http://www.jstor.org/stable/2533433.Accessed:15/07/201207:41YouruseoftheJSTORarc
2、hiveindicatesyouracceptanceoftheTerms&ConditionsofUse,availableat.http://www.jstor.org/page/info/about/policies/terms.jsp.JSTORisanot-for-profitservicethathelpsscholars,researchers,andstudentsdiscover,use,andbuilduponawiderangeofcontentinatrusteddigitalarchive.Weuseinformationtechnologyandtoolsto
3、increaseproductivityandfacilitatenewformsofscholarship.FormoreinformationaboutJSTOR,pleasecontactsupport@jstor.org..InternationalBiometricSocietyiscollaboratingwithJSTORtodigitize,preserveandextendaccesstoBiometrics.http://www.jstor.orgBIOMETRICS50,933-944December1994ARandom-EffectsOrdinalRegress
4、ionModelforMultilevelAnalysisDonaldHedekerl"2andRobertD.Gibbons2'PreventionResearchCenter,SchoolofPublicHealth,UniversityofIllinoisatChicago,850WestJacksonBoulevard,Suite400,Chicago,Illinois60607,U.S.A.2DepartmentofPsychiatry,CollegeofMedicine,UniversityofIllinoisatChicago,912SouthWoodStreet,Chic
5、ago,Illinois60612,U.S.A.SUMMARYArandom-effectsordinalregressionmodelisproposedforanalysisofclusteredorlongitudinalordinalresponsedata.Thismodelisdevelopedforboththeprobitandlogisticresponsefunctions.Thethresholdconceptisused,inwhichitisassumedthattheobservedorderedcategoryisdeterminedbythevalueof
6、alatentunobservablecontinuousresponsethatfollowsalinearregres-sionmodelincorporatingrandomeffects.Amaximummarginallikelihood(MML)solutionisdescribedusingGauss-Hermitequadraturetonumericallyintegrateoverthedistributionofrandomeffects.Ananalysisofadatasetwherestudentsareclusteredornestedwithinclass
7、roomsisusedtoillustratefeaturesofrandom-effectsanalysisofclusteredordinaldata,whileananalysisofalongitudinaldatasetwherepsychiatricpatientsarerepeatedlyratedastotheirseverityisusedtoillustratefeaturesoftherandom-effect
