Receiver operating characteristic (ROC) analysis.pdf

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1、Receiveroperatingcharacteristic(ROC)analysisEvaluatingdiscriminanceeectsamongdecisionsupportsystemsLenaKallinWestinkallin@cs.umu.seUMINF01.18ISSN-0348-0542DepartmentofComputingScienceUmeåUniversitySE-90187UmeåSweden2AbstractAnoverviewoftheusageofReceiverOperatingCharacteristic(ROC)analys

2、iswithinmedicineandcomputerscienceisgiven.AsurveyofthetheorybehindtheanalysisisgiventogetherwithapresentationofhowtocreatetheROCcurveanddierentmethodstointerpretit.Bothmethodsthatrelyonbinormaldistributionsandmethodsthatrelyondistributionfreemethodshavebeenmentioned.Awaytobetterknowthequ

3、alityofthemeasurementsofsensitivityandspecicityispresented.ThequalitymeasuresandtheQROCcurveasisalsoincludedtogetherwithadiscussionaboutoptimalcut-osandtheconnectiontoBayesiandecisiontheory.ResultsfromearlierexperimentsandcasestudieswillbeusedtoexemplifytheuseoftheROCandQROCcurves.2Cont

4、ents1TheTheoryofReceiverOperatingCharacteristicCurves51.1Introduction....................................51.2Notations.....................................51.3Sampling.....................................71.3.1Estimatesandstandarderrorsfornaturalisticsampling.......7RuleofthumbforN0......

5、....................8Exampleofanaturalisticsampling...................81.4Dierentkindoftests..............................91.4.1Testforlegitimacy............................10Exampleoflegitimacyofatest.....................101.4.2"Good"tests...............................101.5TheROCcurve.

6、.................................111.5.1PointsontheROCcurve........................121.5.2Theoptimalcut-o............................12Optimalcut-opointsandBayesiandecisiontheory.........131.5.3TheareaundertheROCcurve.....................15Comparingtwoareas...........................15C

7、omparingpartialareas.........................161.6TheQROCcurve.................................162SomeApplicationsofReceiverOperatingCharacteristicAnalysis182.1Datasetsused..................................182.2Methodsused...................................192.2.1Us