Designation:E1970−16StandardPracticeforStatisticalTreatmentofThermoanalyticalData1ThisstandardisissuedunderthefixeddesignationE1970;thenumberimmediatelyfollowingthedesignationindicatestheyearoforiginaladoptionor,inthecaseofrevision,theyearoflastrevision.Anumberinparenthesesindicatestheyearoflastreapproval.Asuperscriptepsilon(´)indicatesaneditorialchangesincethelastrevisionorreapproval.1.Scope*1.1Thispracticedetailsthestatisticaldatatreatmentusedinsomethermalanalysismethods.1.2Themethoddescribesthecommonlyencounteredsta-tisticaltoolsofthemean,standardderivation,relativestandarddeviation,pooledstandarddeviation,pooledrelativestandarddeviation,thebestfittoa(linearregressionofa)straightline,andpropagationofuncertaintiesforallcalculationsencoun-teredinthermalanalysismethods(seePracticeE2586).1.3Somethermalanalysismethodsderivetheanalyticalvaluefromtheslopeorinterceptofalinearregressionstraightlineassignedtothreeormoresetsofdatapairs.Suchmethodsmayrequireanestimationoftheprecisioninthedeterminedslopeorintercept.Thedeterminationofthisprecisionisnotacommonstatisticaltool.Thispracticedetailstheprocessforobtainingsuchinformationaboutprecision.1.4TherearenoISOmethodsequivalenttothispractice.2.ReferencedDocuments2.1ASTMStandards:2E177PracticeforUseoftheTermsPrecisionandBiasinASTMTestMethodsE456TerminologyRelatingtoQualityandStatisticsE691PracticeforConductinganInterlaboratoryStudytoDeterminethePrecisionofaTestMethodE2161TerminologyRelatingtoPerformanceValidationinThermalAnalysisandRheologyE2586PracticeforCalculatingandUsingBasicStatisticsF1469GuideforConductingaRepeatabilityandReproduc-ibilityStudyonTestEquipmentforNondestructiveTest-ing3.Terminology3.1Definitions—ThetechnicaltermsusedinthispracticearedefinedinPracticeE177andTerminologiesE456andE2161includingprecision,relativestandarddeviation,repeatability,reproducibility,slope,standarddeviation,thermoanalytical,andvariance.3.2Symbols(1):3m=slopeb=interceptn=numberofdatasets(thatis,xi,yi)xi=anindividualindependentvariabl...
