Designation:E2782−11´1AnAmericanNationalStandardStandardGuideforMeasurementSystemsAnalysis(MSA)1ThisstandardisissuedunderthefixeddesignationE2782;thenumberimmediatelyfollowingthedesignationindicatestheyearoforiginaladoptionor,inthecaseofrevision,theyearoflastrevision.Anumberinparenthesesindicatestheyearoflastreapproval.Asuperscriptepsilon(´)indicatesaneditorialchangesincethelastrevisionorreapproval.ε1NOTE—EditorialcorrectionsweremadethroughoutinMay2014.1.Scope1.1Thisguidepresentsterminology,concepts,andselectedmethodsandformulasusefulformeasurementsystemsanaly-sis(MSA).Measurementsystemsanalysismaybebroadlydescribedasabodyoftheoryandmethodologythatappliestothenon-destructivemeasurementofthephysicalpropertiesofmanufacturedobjects.1.2Units—Thesystemofunitsforthisguideisnotspeci-fied.Dimensionalquantitiesintheguidearepresentedonlyasillustrationsofcalculationmethodsandarenotbindingonproductsortestmethodstreated.1.3Thisstandarddoesnotpurporttoaddressallofthesafetyconcerns,ifany,associatedwithitsuse.Itistheresponsibilityoftheuserofthisstandardtoestablishappro-priatesafetyandhealthpracticesanddeterminetheapplica-bilityofregulatorylimitationspriortouse.2.ReferencedDocuments2.1ASTMStandards:2E177PracticeforUseoftheTermsPrecisionandBiasinASTMTestMethodsE456TerminologyRelatingtoQualityandStatisticsE2586PracticeforCalculatingandUsingBasicStatisticsE2587PracticeforUseofControlChartsinStatisticalProcessControl3.Terminology3.1Definitions:3.1.1Unlessotherwisenoted,termsrelatingtoqualityandstatisticsaredefinedinTerminologyE456.3.1.2acceptedreferencevalue,n—avaluethatservesasanagreed-uponreferenceforcomparison,andwhichisderivedas:(1)atheoreticalorestablishedvalue,basedonscientificprinciples,(2)anassignedorcertifiedvalue,basedonexperi-mentalworkofsomenationalorinternationalorganization,or(3)aconsensusorcertifiedvalue,basedoncollaborativeexperimentalworkundertheauspicesofascientificorengineeringgroup.E1773.1.3calibration,n—processofestablishingarelationshipbetweenameasuremen...