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1、SoftwareSupportforMetrologyBestPracticeGuideNo.4DiscreteModellingandExperimentalDataAnalysisRMBarker,MGCox,ABForbesandPMHarrisApril2004Version2.0SoftwareSupportforMetrologyBestPracticeGuideNo.4DiscreteModellingandExperimentalDataAnalysisRMBarker,MGCox,ABForbesandP
2、MHarrisCentreforMathematicsandScientificComputingApril2004ABSTRACTMetrology,thescienceofmeasurement,involvesthedeterminationfromexperi-mentofestimatesofthevaluesofphysicalquantities,alongwiththeassociateduncertainties.Inthisendeavour,amathematicalmodelofthemeasurem
3、entsystemisrequiredinordertoextractinformationfromtheexperimentaldata.Modellinginvolvesmodelbuilding:developingamathematicalmodelofthemeasurementsystemintermsofequationsinvolvingparametersthatdescribealltherelevantaspectsofthesystem,andmodelsolving:determiningesti
4、matesofthemodelparametersfromthemeasureddatabysolvingtheequationsconstructedaspartofthemodel.Thisbest-practiceguidecoversallthemainstagesinexperimentaldataanalysis:constructionofcandidatemodels,modelparameterisation,uncertaintystruc-tureinthedata,uncertaintyofmeas
5、urements,choiceofparameterestimationalgorithmsandtheirimplementationinsoftware,withtheconceptsillustratedbycasestudies.TheGuidelooksatvalidationtechniquesforthemaincomponentsofdiscretemodelling:buildingthefunctionalandstatisticalmodel,modelsolvingandparameterestim
6、ationmethods,goodnessoffitofmodelsolutionsandexper-imentaldesignandmeasurementstrategy.Thetechniquesareillustratedindetailedcasestudies.Version2.0cCrowncopyright2004ReproducedbypermissionoftheControllerofHMSOISSN1471–4124Extractsfromthisguidemaybereproducedprovided
7、thesourceisacknowledgedandtheextractisnottakenoutofcontextAuthorisedbyDrDaveRayner,HeadoftheCentreforMathematicsandScientificComputingNationalPhysicalLaboratory,QueensRoad,Teddington,Middlesex,UnitedKingdomTW110LWContents1Introduction11.1Mathematicalmodellinginmetr
8、ology...............11.2ScopeandstructureofthisGuide.................21.3Discretemodellingresources....................31.3.1Referencebooks.............