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1、Omega36(2008)715–729www.elsevier.com/locate/omegaPresentingDEAgraphicallyNicoleAdler∗,AdiRavehSchoolofBusinessAdministration,HebrewUniversityofJerusalem,IsraelReceived21September2005;accepted22February2006Availableonline17April2006AbstractThispaperintro
2、ducesamethodologythatpermitspresentationoftheresultsofdataenvelopmentanalysis(DEA)graphically.Aspecializedformofmulti-dimensionalscaling,Co-Plot,enablespresentationoftheDEAresultsinatwo-dimensionalspace,henceinaclear,understandablemanner.Whenplottingrati
3、osratherthanoriginaldata,DEAefficientunitscanbevisualizedclearly,aswellastheirconnectionstospecificvariablesand/orratios.Furthermore,Co-Plotcanbeusedinanexploratorydataanalysistoidentifyoutliers,whosedatarequireadditionalscrutiny,andpotentiallyinconsequent
4、ialvariablesthatcouldbeaggregatedorremovedfromtheanalysiswithlittleeffectonthesubsequentDEAresults.TheCo-Plotdiagramofratiospresentssuper-efficientobservationsonanouterringorsectoroftheplotandallreasonablyefficientunitsonaslightlyinnerring/sector,surroundi
5、ngtheremaininginefficientdecision-makingunits.First,thewell-known35ChineseCitiesdatasetisprovidedasanillustration.Second,asimulationstudyteststheapplicabilityofCo-PlottopresenttheresultsofDEA.2006ElsevierLtd.Allrightsreserved.Keywords:Dataenvelopmentanal
6、ysis;Multi-dimensionalscaling;Efficiency;Co-Plot1.IntroductionThepurposeofthispaperistosuggestamethodologyforpresentingdataenvelopmentanalysis(DEA)graphically.Thegraphicaldisplaymethod,Co-Plot,isavariantofmulti-dimensionalscaling[1,2].Co-Plotlocateseachde
7、cision-makingunit(DMU)inatwo-dimensionalspaceinwhichthelocationofeachobservationisdeterminedbyallvariablessimultaneously.ThegraphicaldisplaytechniqueexhibitsDMUsaspointsandvariablesasarrows,relativetothesameaxisandoriginorcenter-of-gravity.Observationsar
8、emappedsuchthatsimilarDMUsarecloselylocatedontheplot,signifyingthattheybelongtoagrouppossessingcomparablecharacteristicsandbehavior.TheCo-Plotmethodhasbeenappliedtoastudyofsocioeconomicdifferencesamongcities[3],nationalver