Describing the uncertainties in experimental results

Describing the uncertainties in experimental results

ID:40358202

大小:1.65 MB

页数:15页

时间:2019-07-31

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1、DescribingtheUncertaintiesinExperimentalResultsRobertJ.MoffatIIItisnolongeracceptable,inmostcircles,topresentexperimentalresultsProfessorofMechanicalEngineering,withoutdescribingtheuncertaintiesinvolved.Besidesitsobviousroleinpub-StanfordUniversity,Stanfor

2、d,Californialishing,uncertaintyanalysisprovidestheexperimenterarationalwayofeval-uatingthesignificanceofthescatteronrepeatedtrials.Thiscanbeapowerfultoolinlocatingthesourceoftroubleinamisbehavingexperiment.Totheuserofthedata,astatement(bytheexperimenter)of

3、therangewithinwhichtheresultsofthepresentexperimentmighthavefallenbychancealoneisofgreathelpindecidingwhetherthepresentdataagreewithpastresultsordif-ferfromthem.Thesebenefitscanberealizedonlyifboththeexperimenterandthereaderunderstandwhatanuncertaintyanaly

4、sisis,whatitcando(andcannotdo),andhowtointerpretitsresults.Thispaperbeginswithageneraldescriptionofthesourcesoferrorsinen-gineeringmeasurementsandtherelationshipbetweenerroranduncertainty.Thenthepathofanuncertaintyanalysisistracedfromitsfirststep,identify-

5、ingtheintendedtruevalueofameasurement,throughthequantitativeestima-tionoftheindividualerrors,totheendobjective--theinterpretationandre-portingoftheresults.Thebasicmathematicsofbothsingle-sampleandmultiple-sampleanalysisarepresented,aswellasatechniquefornum

6、ericallyexecutinguncertaintyanalyseswhencomputerizeddatainterpretationisin-volved.Thematerialpresentedinthispapercoversthemethodofdescribingtheuncertaintiesinanengineeringexperimentandthenecessarybackgroundma-terial.Keywords:experimentaluncertainty,erroran

7、alysis,single-sampleanalysis,multiple-sampleanalysis,systemerrorsINTRODUCTIONbarsonaplotofthedataorcalculatingtheroot-mean-squaredeviationofdatafromacurvefit,or(worseyet)calculatingtheTheerrorinameasurementisusuallydefinedasthedifferencemeanabsolutevalueof

8、thatdeviation.Thosearesimplytech-betweenitstruevalueandthemeasuredvalue.Thisdefinitionisniquesforprovidingsomemeasureofthescatterintheresultsandclearbutnotveryhelpful:theonlyrealsituationsinwhichweprovidenowa

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