MSAFY

1MeasurementSystemsAnalysis21.INTRODUCTION2.QUALITYSYSTEMREQUIREMENT3.TERMINOLOGYANDDEFINITION4.MEASUREMENTPROCESS5.MEASUREMENTSTRATEGYANDPLANNINGTABLEOFCONTENTS36.VARIABLEMEASUREMENTSYSTEMANALYSIS7.ATTRIBUTEMEASUREMENTSYSTEMANALYSIS8.NON-REPLICABLEMEASUREMENTSYSTEMAPPENDIXA-DIFFERENCEBETWEENMSA2nded.andMSA3rded.A-MSATABLEOFCONTENTS4INTRODUCTION5?????66WHYMEASUREMENT7USEOFMEASUREMENTDATA,28QUALITYMEASUREMENTDATA9QUALITYSYSTEMREQUIREMENT10QUALITYSYSTEMREQUIREMENTISO9001:1994-4.11ISO9001:2000-7.6QS-9000-1998-4.11.4VDA6.1:1998-P16.4ISO/TS16949:2002-7.6.1PPAPREQUIREMENT-PPAP11TS16949:2002z—7.6.1--12I.2PPAP19I.2.2.10MSA7.6.1zAIAGMSAzz–z–10%–10%30%:,–30%13AIAGMSAMANIALAIAGMSA1990/10-1sted.1995/2-2nded.2002/3-3rded.14BASICCONCEPTSONCALIBRATION15TERMINOLOGYANDDEFINITION16MEASUREMENTGENERAL17GAGE/GENERAL18MEASUREMENTSYSTEMGENERAL19CALIBRATIONVERIFICATION/GENERAL20STANDARDGENERAL21zDISCRIMINATIONREADABILITYRESOLUTION999991:10zEFFECTIVERESOLUTION999BASICEQUIPMENT22BASICEQUIPMENTzREFERENCEVALUE999zTRUEVALUE9923LOCATIONVARIATIONzACCURACY9“”9ASTMzBIAS9924LOCATIONVARIATIONzSTABILITY99925zLINEARITY999LOCATIONVARIATION26WIDTHVARIATIONzPRECISION9“”927WIDTHVARIATIONzREPEATABILITY999E.V.—99-WITHINSYSTEMVARIATION28WIDTHVARIATIONzREPRODUCIBILITY999A.V-99ASTME456-9629WIDTHVARIATIONzGRRorGAGER&RGRRR&R99GRRABC30WIDTHVARIATIONzMEASUREMENTSYSTEMCAPABILITY9“GRR”zMEASUREMENTSYSTEMPERFORMANCE931WIDTHVARIATIONzSENSITIVITY999OEM932WIDTHVARIATIONzCONSISTENCY99UCLLCL33WIDTHVARIATIONzUNIFORMITY99SIZE1SIZEN34SYSTEMVARIATIONzCAPABILITY9zPERFORMANCE99zUNCERTAINTY935INTERNATIONALSTANDARDNATIONALSTANDARDTRACEABILITY,STANDARD36ISO10012GB/T19022AIAGMEASUREMENTSYSTEMANALYSISMANUAL3rded.REFERENCEDOCUMENT37MEASUREMENTPROCESS38MEASUREMENTPROCESS39MSAPROCESSMEASUREMENTPROCESS40ANIDEALMEASUREMENTSYSTEMWOULDPRODUCEONLY“CORRECT”MEASUREMENTSEACHTIMEITWASUSED.,“”STATISTICALPROPERTIESOFMEASUREMENTSYSTEMS41FUNDAMENTALPROPERTIESOFA“GOOD”MEASUREMENTSYSTEM“”1.10-12.3.-4.-*42zSYSTEMVARIATIONzRANDOMVARIATIONzCOMMONCAUSEzSPECIALCAUSESOURCESOFVARIATION43S.W.I.P.ESTANDARDWORKPIECE(PART)()INSTRUMENTPERSON/PROCEDURE/ENVIRONMENT44S.W.I.P.E45MEASUREMENTERRORMEASUREMENTSYSTEMCAPABILITY––MEASUREMENTSYSTEMPERFORMANCE–––46EFFECTONDECISION47EFFECTONPRODUCTDECISION1.REJECTAGOODPART–TYPEIERRORI–PRODUCERRISK–FALSEALARM48EFFECTONPRODUCTDECISION2.ACCEPTABADPART–TYPEIIERRORII–CONSUMERRISK–MISSALARMUSL49MAXIMIZECORRECTDECISION1.2.??50EFFECTONPROCESSDECISION–––1.2.51²OBS=²ACT+²MSA(Cp)²OBS=(Cp)²ACT+(Cp)²MSAEFFECTONPROCESSDECISION52MEASUREMENTSTRATEGYANDPLANNING53MEASUREMENTSTRATEGYANDPLANNINGMEASUREMENTSYSTEMSELECTION–WHYMEASURMENT–WHATMEASURMENT–HOWTOMEASURE–WHERETOMEASURE–WHENTOMEASURE–WHOTOMEASURE¾APQP54FUNDAMENTALISSUESOFMEASURESYSTEM1.2.3.55APPLICATIONOFMEASUREMENTSYSTEMANALYSISSTUDYGPCGPC56WHENTOMSA1.––APQP–PPAP–2.–––3.––––––57NDCNUMBEROFDISTINCTCATEGORIES52-4158PREPARATIONOFMSASTUDY1.2.3.4.5.1/106.7.8.9.59VARIABLEMEASURMENTSYSTEMANALYSIS60STABILITY61zz35zX&RorX&SzzSXbarUCL=Xbar+A2RbarLCL=Xbar-A2RbarUCL=D4*RbarLCL=D3*Rbarz62z1.1z2.9z3.6z4.14z5.322z6.541z7.151z8.811636465zzzzzzzz66,BIAS67Biaszn=10z10znz68MSAz=--z=6z%=/100%z,:z10%z10%%30%z%30%,69z10zX10.75X60.80zX20.75X70.75zX30.80X80.75zX40.80X90.75zX50.65X100.70z0.80.7zXΣx/107.5/100.75z(X)z0.80.75z0.05z(%)(/)×100z(0.05/0.7)×100z7.1%10%70zMSA∗=−==∑21d)min()(maxxixinXiXrniσrrd2*d2*gg11mmnntt0011)](tdσd0)](tdσdv*2b2v*2b2≤≤n/bbrtσσσ=710.06.0150.16.1120.2-0.45.6146.2130.06.0110.36.3100.46.490.16.180.06.070.06.05-0.15.93-0.25.810.16.16-0.15.94-0.35.726.00.058130.225146.006715n0.1319-1.11850.00672.20610.80.115395%tdft6.00,a=0.05,g=1,d2*=3.3500--0.1185,0.13190.1185,0.1319rσbσX72zzzzzzzz73LINEARITY742ndeditionz75nxxnyxxya∑∑∑∑∑−−=22)()()(∑∑×−=nxanyb)])(([)])(([][222222nyynxxnyxxy∑∑∑∑∑∑∑−×−−=R)](/[100)(×76zR2=1,,;zR2=0,,XY;z0R21,;z,%5%z,%10%z%10%,77552.00,4.00,6.00,8.00,10.00,2.00,4.00,6.00,8.00,10.00,12120.50.30.71.30.4R0.620.29-0.03-0.13-0.499.387.716.034.122.49X9.109.309.509.309.409.509.509.509.609.209.309.407.607.707.807.707.807.807.807.707.807.507.607.705.805.705.905.906.006.106.006.106.406.306.006.105.103.904.205.003.803.903.903.903.904.004.103.802.702.502.402.502.702.302.502.502.402.402.602.4012345678910111210.008.006.004.002.005432178yax+b0.1317()0.73670.13176.00.79(6.0)%(/)100(0.79/6.0)10013.17%R2:yaxby:,x:,a:a(Σxy(ΣxΣyn))/(ΣX2(Σx)2/n)=-0.1317bΣ(y/n)aΣ(x/n)0.7367R2=[(ΣxyΣxΣy/n)2]/(Σx2Σx2/n)(Σy2Σy2/n)0.980R0R220.980.9822=0.961,=0.961,%%13.17%10%,13.17%10%,Σxy(ΣxΣyn)Σx2(Σx)2/n793rdeditionzg=5zzm=10zzi,j=Xi,j-()izzmmj∑=1j,iiiiiiyxbaxy=+=80(3rdedition)gmxxyxgmxya∑∑∑∑∑−−=22)()1(xay×−=b220−−−=∑∑∑gmyxaybysxiiiiα81Cont’d]))()(1([]))()(1([2/1202/1,202/1202/1,20sxxxxgmtaxbsxxxxgmtaxbigmigm∑∑−−+++−−+−+−−−−αα•”0“”0“820])([2/1,22α−−≤−=∑gmjtxxsat2/1,222])(1[α−−≤−+=∑gmitxxxgmbtz–H0:a=0,H0:b=0,H0:b=0,Cont’d83zzzz84ABCGR&R985GageR&RforVariablesGageR&RStudyCrossedNestedGR&R86zGageR&Rstudiesrequirebalanceddesigns(equalnumberofobservationsperoperatorandpart)andreplicates.zInacrosseddesign,eachpartismeasuredmultipletimesbyeachoperat