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SOFTWAREOpenAccesswww.
common-metrics.
org:awebapplicationtoestimatescoresfromdifferentpatient-reportedoutcomemeasuresonacommonscaleH.
FelixFischer1,2*andMatthiasRose1,3AbstractBackground:Recently,agrowingnumberofItem-ResponseTheory(IRT)modelshasbeenpublished,whichallowestimationofacommonlatentvariablefromdataderivedbydifferentPatientReportedOutcomes(PROs).
WhenusingdatafromdifferentPROs,directestimationofthelatentvariablehassomeadvantagesovertheuseofsumscoreconversiontables.
ItrequiressubstantialproficiencyinthefieldofpsychometricstofitsuchmodelsusingcontemporaryIRTsoftware.
Wedevelopedawebapplication(http://www.
common-metrics.
org),whichallowsestimationoflatentvariablescoresmoreeasilyusingIRTmodelscalibratingdifferentmeasuresoninstrumentindependentscales.
Results:Currently,theapplicationallowsestimationusingsixdifferentIRTmodelsforDepression,Anxiety,andPhysicalFunction.
Basedonpublisheditemparameters,usersoftheapplicationcandirectlyestimatelatenttraitestimatesusingexpectedaposteriori(EAP)forsumscoresaswellasforspecificresponsepatterns,Bayesmodal(MAP),Weightedlikelihoodestimation(WLE)andMaximumlikelihood(ML)methodsandunderthreedifferentpriordistributions.
Theobtainedestimatescanbedownloadedandanalyzedusingstandardstatisticalsoftware.
Conclusions:ThisapplicationenhancestheusabilityofIRTmodelingforresearchersbyallowingcomparisonofthelatenttraitestimatesoverdifferentPROs,suchasthePatientHealthQuestionnaireDepression(PHQ-9)andAnxiety(GAD-7)scales,theCenterofEpidemiologicStudiesDepressionScale(CES-D),theBeckDepressionInventory(BDI),PROMISAnxietyandDepressionShortFormsandothers.
Advantagesofthisapproachincludecomparabilityofdataderivedwithdifferentmeasuresandtoleranceagainstmissingvalues.
Thevalidityoftheunderlyingmodelsneedstobeinvestigatedinthefuture.
Keywords:Item-ResponseTheory,Measurement,PatientReportedOutcomes,Depression,Anxiety,PhysicalfunctionBackgroundOneofthemajordevelopmentsintherecentyearsofPatient-ReportedOutcome(PRO)measurementhasbeentheadoptionofmethodsbasedonItem-ResponseTheory(IRT)[1].
Thosemethodshavebeenusedtodevelopshortermeasures[2],toapplycomputer-adaptivetests[3]ortoassesssystematicdifferencesinresponsebehaviorbetweengroups[4].
OneofthecoreadvantagesofIRTcomparedtoClassicalTestTheory(CTT)isthepossi-bilitytoestimatecommonmodelsfordifferentPROsmeasuringthesameconstructs,allowingcomparisonsofthemeasuredconstructoverdifferentmeasures[1].
WecallIRTmodelsthatcomprisetheitemparametersfromitemsofvariousmeasures,measuringacommonvariable,"commonmetrics".
Withsuchstatisticalmodels,onecanestimatethevariableofinterestbysubsetsofitems,e.
g.
whendifferentmeasuresareusedorwhendataismissing.
*Correspondence:felix.
fischer@charite.
de1DepartmentofPsychosomaticMedicine,ClinicforInternalMedicine,CharitéUniversittsmedizinBerlin,Berlin,Germany2InstituteforSocialMedicine,EpidemologyandHealthEconomics,CharitéUniversittsmedizinBerlin,Berlin,GermanyFulllistofauthorinformationisavailableattheendofthearticle2016TheAuthor(s).
OpenAccessThisarticleisdistributedunderthetermsoftheCreativeCommonsAttribution4.
0InternationalLicense(http://creativecommons.
org/licenses/by/4.
0/),whichpermitsunrestricteduse,distribution,andreproductioninanymedium,providedyougiveappropriatecredittotheoriginalauthor(s)andthesource,providealinktotheCreativeCommonslicense,andindicateifchangesweremade.
TheCreativeCommonsPublicDomainDedicationwaiver(http://creativecommons.
org/publicdomain/zero/1.
0/)appliestothedatamadeavailableinthisarticle,unlessotherwisestated.
FischerandRoseBMCMedicalResearchMethodology(2016)16:142DOI10.
1186/s12874-016-0241-0Intherecentyearssuchmodelshavebeendevelopedinvariousdomains:physicalfunctioning[5–7],pain[8,9],fatigue[10],headache[11],anxiety[12]anddepression[13–16].
Apromisingfieldofresearchisthelinkingofpediatricandadultmeasurestoallowmeaningfulcomparisonsoverthecourseoftime[17].
Dif-ferentmethodsyieldingcomparableresultshavebeenappliedtolinkmeasures,suchasfixed-parameterestima-tionorconcurrentestimationwithsubsequentlinking[12,13,18].
Sofar,thoseIRTmodelshavebeenfrequentlyusedtodevelopsumscoreconversiontablesbetweenmeasures[7,8,10,12,15]sinceitispossibletoderivelatenttraitestimatessolelyfromthesumscore[19].
Itisalsopossibletoestimatethelatenttraitdirectlyfromtheresponsepattern.
Thisapproachhassomeadvan-tagesovertheuseofsumscoreconversiontablessinceittakesintoaccountdifferencesintheresponsepat-tern,yieldingmoreaccurateresults[12,13]thancon-vertedsumscores.
Italsoisfavorableincaseofmissingitemresponse,sinceestimationofthelatentvariableisstillviableunderthatcondition[12,13].
EstimationofIRTscoresbasedoncommonmetricscancurrentlybedoneinanumberofdifferentstatisticalpackages,suchasIRTPRO,PARSCALE,RorSAS.
None-theless,itrequiressubstantialproficiencyinthefieldofpsychometricstofitthosemodels,hamperingaccessibilityofcommonmetricsforresearchersfromotherfields.
Wedevelopedawebapplication(http://www.
common-metrics.
org),whichallowsestimationoflatentvariablescoresmoreeasilyusingsuchcommonmetrics.
Ourgoalistoenableresearcherstocomparedataob-tainedwithdifferentmeasures,forexampleifinStudyAthePatientHealthQuestionnaire9(PHQ-9)hasbeenusedforthemeasurementofdepression,butinStudyBtheBeckDepressionInventory(BDI)wasthemeasureofchoice.
Inthispaper,wedescribethegen-eralorganizationoftheapplication,thetechnicalde-tailsoftheimplementedestimationaswellasaspectsofdatasafety.
Finally,advantagesandcaveatsoftheapplicationarediscussed.
ImplementationOverviewTheapplicationitselfconsistsofacontrolpaneland6tabs(seeFig.
1).
Metric:selectoneoftheavailablemetricsandreviewtheitemcodesforeachmeasure.
Currently,weimplementedcommonmetricsforthemeasurementofdepression[13,14],anxiety[12,20],andphysicalfunctioning[5,7]containingmeasuressuchasthePatientHealthQuestionnaireDepression(PHQ-9)andAnxiety(GAD-7)scales[21,22],theCenterofEpidemiologicStudiesDepressionScale(CES-D)[23],theBeckDepressionInventory(BDI)[24],PROMISAnxietyandDepressionShortForms[25–27]andothers.
Weprovidesomeinformationaboutthosemetrics,suchasestimationsamplesizeandincludeditems,butusersarereferredtotheactualpublications.
Additionalmetricscanbeaddedifrequested.
Data:selectexampledataoruploadyourowndataset.
Theidentificationofitemsinthedatasetiscase-sensitiveandcolumnnamesmustmatchtheitemcodesexactly.
Eachrowcorrespondstooneobservation.
Model:selectpriordistribution(N(0,1),N(0,10)andestimatedfromdata)andreviewitemparameters.
Estimates:selectestimationmethodEAP(expectedaposteriori),MAP(Bayesmodal),WLE(Weightedlikelihoodestimation),ML(Maximumlikelihood)orEAPSumScore)andreviewdescriptivestatistics(n,min,mean,median,maximum,standarddeviation,standarderrorofthemean,percentageofmissingvalues)includingahistogramofthedistributionoflatenttraitestimates.
Precision:reviewprecisionofestimates(standarderror)overlatentvariablecontinuum.
Ifestimationmethodismaximumlikelihood(ML),testprecisionoflegacyinstrumentscanbeshown.
Download:downloaddatasetwithscoreestimateandstandarderrorofmeasurement.
Thedefaultestimatorselection(EAPwithN(0,1)prior)canbeconsideredascurrentstandardandisappropriateforawiderangeofapplications.
However,weallowtheselectionofdifferentestimatorsandpriors,sincethosemightbemoreappropriateinagivensituation.
Forex-ample,comparisonoftheprecisionofasetofitemstolegacyinstrumentsisonlymeaningfulunderMLesti-mation.
Sincetheapplicationissolelyintendedtoallowresearcherstoestimatelatenttraitscoresonseveralpreviouslypublishedcommonmetrics,theapplicationdoesnotincludeanypossibilitytoreestimatetheunderlyingitemparameters.
TechnicaldetailsofthetaestimationTheapplicationsetsuptherespectiveIRTmodel(GradedResponseModelorGeneralizedPartialCreditModel)withallparametersfixedtotheitemparametersofthedesiredcommonmetric.
Priordistributioncanbeselectedbytheuser.
TheunderlyingRpackagemirt[28]usesamarginalmaximumlikelihoodmethodtoestimateitemparametersofIRTmodels,hence,estimationofpersonparameterscanbeconductedindependently.
Forpersonparameterestimationweincludedthesumscoreaswellasresponsepatternexpectedaposteriori(EAP),Bayesmodal(MAP),WeightedlikelihoodestimationFischerandRoseBMCMedicalResearchMethodology(2016)16:142Page2of5(WLE)andMaximumlikelihood(ML)methods.
Thetaes-timatesandstandarderrorsaretransformedtothet-metric(mean50,standarddeviationof10).
Forsomemet-rics,50issomemeaningfulanchorpointlikethegeneralpopulationmean[12–14].
Testspecificstandarderrorswerecalculatedformodelscomprisingallitemsfromonequestionnaire.
PleasenotethatthesestandarderrorsarevalidunderMLestimationonly.
ThewebsitewasbuildusingR3.
0.
2[29],Shiny[30]andggplot2[31].
IRTmodelsusedforthetaestimationwereestimatedusingtheR-packagemirt[28].
DatasafetyFromuploadeddata,allcolumnsaredisregardediftheirnamedoesnotmatchanyoftheitemcodesavailableintheselectedmetric.
AlthoughwedonotsaveuploadedFig.
1OverviewovertheapplicationworkflowFischerandRoseBMCMedicalResearchMethodology(2016)16:142Page3of5databeyondtheneedforprocessingwithintheactualsession,usersmustbeawarethatsensibledatasentthroughtheinternetisapotentialsecurityriskanddatamightbecomepublic.
Wehenceadviseusertouploadonlytherequiredamountofdata(inotherwords,onlytheitemresponses)andensurethatuploadeddatafulfillsdatasafetystandards.
Datashouldnotcontainanypersonalinformation,allowingtracingofsingleresponsestoindividuals.
TheapplicationwasapprovedinitscurrentversionbythedataprotectioncommissioneroftheCharitéUniver-sittsmedizinBerlin,Germany.
ResultsWepresentawebsitethatallowstheuseofcommonmetricstoestimatelatentvariableonacommonscaleindependentlyfromthemeasurebeingused.
ComparedtotraditionalIRTsoftwarethemajorstrengthofourapproachbyprovidingawebapplicationisthatthetaestimationfromdifferentPROsdoesnotrequiredetailedknowledgeonIRTmodelingnorestimationtechniques.
Weprovideasimpleinterfacetocheckbasicsummarydataanddatamaylaterbeusedinanyothersoftwaretheuserisfamiliarwith,suchasExcel,SPSS,SASorR.
Theapproachimplementedinwww.
common-metrics.
orgingeneralpromisesanumberofadvantagescomparedtotheuseofinstrumentdependentsumscores,suchas1.
comparabilityofdataderivedwithdifferentmeasures,e.
g.
whenassessingroutinedataorincaseofmeta-analysisonprimarydatalevel2.
moreprecisemeasurement(i.
e.
decreasedstandarderrorofindividualestimate)bytakingtheresponsepatternintoaccountaswellaswhenusingtwoormoremeasures3.
toleranceagainstmissingvalues4.
increasedvalidityofthescalecomparedtoinstrumentdependentscales.
However,usersshouldbeawareofthelimitationsofthisapproach.
Oneissueisthevalidityoftheunderlyingmodel.
Althoughfindingsliketheoverlapofdifferentcut-offvaluesfromstaticmeasuresonthecommonmetricmakeusconfidentinthevalidityofsomeofthemodels[12–14],agenerallackofexternalvalidationstudiesmustbeacknowledged.
However,providingatechnicalbasistousesuchmodelsinresearchmoreeasilymightbeacatalystforsuchvalidationstudies.
Furthermore,onemustbeawarethatmeasuresdifferintheircoverageoverthethetacontinuum.
WhileithasbeenshownthattheuseofIRTestimatesinsteadofsumscoresleadstosimilarresults[1,20],useofdifferentmeasuresinsteadofthesametoestimatethetashowedinonestudyanotableimpactontheeffectestimate[32].
Thiscanleadtoseverebiaswhencomparingscoresfromtestswithdifferingprecisionoverthecontinuum.
Sincemostinstrumentsweredevelopedinclinicalsam-plesthismightbeespeciallyproblematicinrelativelyhealthysamples,suchasthegeneralpopulation.
Apos-siblesolutionistotaketheuncertaintyaboutthethetaestimate–itsstandarderror–intoaccount,e.
g.
inaBayesianframeworkoradoptingtheplausiblevalueapproach[33–35].
Thisissuemustbeinvestigatedinthenearfuture.
Anotherthreadtovalidityisthepossibilityofdifferentialitemfunctioningbetweenthesampleswhichwereusedformodelcalibrationandthesamplesusedinapplication.
Forexample,itisunclearwhethercommonmetricdevel-opedfromGermansamples[14]canbeusedinEnglishspeakingsamplesaswell.
However,thisproblemisalsoapparentintheuseofsumscoreconversiontables.
ConclusionWefirmlybelievethatcommonmetricsincludingavar-ietyofmeasureshaveamuchstrongerchancetobe-comevalidandacceptedstandardsforaspecificdomainratherthanasinglequestionnaire.
Wehopethiswebsiteshowsthepotentialthatthedevelopmentofcommonmetricsholds,facilitatesstudiesinvestigatingthevalidityandclinicalusefulnessofsuchmetricsandcontributestothemovementtowardsinstrumentindependentscalesinmeasurementofPatient-ReportedOutcomes.
AvailabilityandrequirementOurwebapplicationisavailableathttp://www.
common-metrics.
orgwithinformationaboutthebackground,methods,andlimitationsofthisapproach.
Theapplica-tionmaybefreelyusedtoestimatethetascoresonacommonmetric.
AcknowledgementsWeacknowledgetheworkofallresearchersdevelopingcommonIRTmodelsforvariousoutcomes.
FundingNofundingwasreceivedforthepresentedwork.
AvailabilityofdataandmaterialsSourcecodeoftheapplicationcanberequestedfromFelixFischer.
Authors'contributionsFFandMRconceivedthedesignoftheapplication,FFprogrammedtheapplicationandwroteafirstdraftofthepublication.
Bothauthorsreadandapprovedthefinalmanuscript.
CompetinginterestsTheauthorsdeclarethattheyhavenocompetinginterests.
ConsentforpublicationNotapplicable.
EthicsapprovalandconsenttoparticipateNotapplicable.
FischerandRoseBMCMedicalResearchMethodology(2016)16:142Page4of5Authordetails1DepartmentofPsychosomaticMedicine,ClinicforInternalMedicine,CharitéUniversittsmedizinBerlin,Berlin,Germany.
2InstituteforSocialMedicine,EpidemologyandHealthEconomics,CharitéUniversittsmedizinBerlin,Berlin,Germany.
3DepartmentofQuantitativeHealthSciences,UniversityofMassachusettsMedicalSchool,Worcester,USA.
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