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1、TheInternationalJournalofBiostatisticsVolume7,Issue12011Article1FittingaBivariateMeasurementErrorModelforEpisodicallyConsumedDietaryComponentsSaijuanZhang,TexasA&MUniversitySusanM.Krebs-Smith,NationalCancerInstituteDouglasMidthune,NationalCancerInstituteAdrianaPerez,UniversityofTexasSchoolofPubl
2、icHealthDennisW.Buckman,InformationManagementServices,Inc.VictorKipnis,NationalCancerInstituteLaurenceS.Freedman,GertnerInstituteforEpidemiologyandPublicHealthResearchKevinW.Dodd,NationalCancerInstituteRaymondJ.Carroll,TexasA&MUniversityRecommendedCitation:Zhang,Saijuan;Krebs-Smith,SusanM.;Midth
3、une,Douglas;Perez,Adriana;Buckman,DennisW.;Kipnis,Victor;Freedman,LaurenceS.;Dodd,KevinW.;andCarroll,RaymondJ.(2011)"FittingaBivariateMeasurementErrorModelforEpisodicallyConsumedDietaryComponents,"TheInternationalJournalofBiostatistics:Vol.7:Iss.1,Article1.DOI:10.2202/1557-4679.1267Unauthenticat
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5、8/29/189:05AMFittingaBivariateMeasurementErrorModelforEpisodicallyConsumedDietaryComponentsSaijuanZhang,SusanM.Krebs-Smith,DouglasMidthune,AdrianaPerez,DennisW.Buckman,VictorKipnis,LaurenceS.Freedman,KevinW.Dodd,andRaymondJ.CarrollAbstractTherehasbeengreatpublichealthinterestinest
6、imatingusual,i.e.,long-termaverage,intakeofepisodicallyconsumeddietarycomponentsthatarenotconsumeddailybyeveryone,e.g.,fish,redmeatandwholegrains.Short-termmeasurementsofepisodicallyconsumeddietarycomponentshavezero-inflatedskeweddistributions.So-calledtwo-partmodelshavebeendevelopedforsuchdatai
7、nordertocorrectformeasurementerrorduetowithin-personvariationandtoestimatethedistributionofusualintakeofthedietarycomponentintheunivariatecase.However,thereisarguablymuchgreaterpublichealthinterestintheusualintakeofanepisodicallyconsumeddietarycomponentadjustedforenergy(caloric)intake,e.g.,ounce
8、sofwholegrainsper1000kilo-calories,whichreflectsusualdietarycompositionandadjustsfordifferenttotalamountsofcaloricintake.Becauseofthispublichealthinterest,itisimportanttohavemodelstofitsuchdata,anditisimportantthatthemodel-f
