MSA测量系统分析

1Minitab(ANOVA)GageR&RMinitabGageR&R¾¾¾¾•••••“”••1.1.2.2.………………3.3.4.4.σ2=σ2+σ2::::2.“”3.“”“”“”“”OKOKOKOKOK123123ABA=2.25B=2.00A=2.25B=2.0010%!A=2.0B=2.0A=2.0B=2.0AB():(σandσ2)......:1.2.3.:1.2.3.σσσRRpeatabilityproducibilityMeasSystem&ReRe(.)222=+σσσRe*producibilityOperatorOperatorPartInteracton222=+Operator1Operator2Operator31010101010109999998888887777776666665555554444443333332222221111112.62.52.42.32.22.12.01.9PartThickness10¾¾¾()()••••••1.2~32.103.2-34.5.1.2~32.103.2-34.5.••%100%22×=totalMSonContributiσσ%10015.5%Tolerance××=ToleranceMSσ%100Var%Study×=TotalMSσσ110101101015%30%30%15%30%30%1020303010203030NumberofDistinctCategories:≥NumberofDistinctCategories:≥%10015.5%Tolerance××=ToleranceMSσ%100Var%Study×=TotalMSσσ%100%22×=totalMSonContributiσσσpart-to-partσgage=x1.41σgage==USL-LSLUSL=LSL=2.2.575σgage(5.15/2=2.575)=USL–””-LSL”5.1599%5.15σ+2.575-2.57599%1.%10015.5%Tolerance××=ToleranceMSσMinitabPart#OperLength11112121313141415151616171718181919110110112122222etc.etc.Minitab:StatQualityToolsGageR&RStudy(Crossed)…:.MTV:.MTVANOVAANOVA••••••%10015.5%Tolerance××=ToleranceMSσTwo-WayANOVATableWithInteractionSourceDFSSMSFPPartID92.058710.22874539.71780.00000Operator20.048000.0240004.16720.03256Operator*PartID180.103670.0057594.45880.00016Repeatability300.038750.001292Total592.249121GageR&R%ContributionSourceVarComp(ofVarComp)TotalGageR&R0.00443710.67Repeatability0.0012923.10Reproducibility0.0031467.56Operator0.0009122.19Operator*PartID0.0022345.37Part-To-Part0.03716489.33TotalVariation0.041602100.00211010%100%22×=totalMSonContributiσσStdDevStudyVar%StudyVar%ToleranceSource(SD)(5.15*SD)(%SV)(SV/Toler)TotalGageR&R0.0666150.3430632.6634.31Repeatability0.0359400.1850917.6218.51Reproducibility0.0560880.2888527.5028.89Operator0.0302000.1555314.8115.55Operator*PartID0.0472630.2434023.1724.34Part-To-Part0.1927810.9928294.5299.28TotalVariation0.2039651.05042100.00105.04315%30%30%15%30%30%%100Var%Study×=TotalmeasσσStdDevStudyVar%StudyVar%ToleranceSource(SD)(5.15*SD)(%SV)(SV/Toler)TotalGageR&R0.0666150.3430632.6634.31Repeatability0.0359400.1850917.6218.51Reproducibility0.0560880.2888527.5028.89Operator0.0302000.1555314.8115.55Operator*PartID0.0472630.2434023.1724.34Part-To-Part0.1927810.9928294.5299.28TotalVariation0.2039651.05042100.00105.04NumberofDistinctCategories=441020303010203030≥≥%100*15.5%ToleranceTolerancemeasσ==x1.41σpart-to-partσgageANOVAGR&RANOVAANOVAGR&RGR&R/22–3(“Go/NoGo”)≥5Gagename:Dateofstudy:Reportedby:Tolerance:Misc:00.30.40.50.60.70.80.91.01.1123XbarChartbyOperatorSampleMeanMean=0.8075UCL=0.8796LCL=0.735400.000.050.100.15123RChartbyOperatorSampleRangeR=0.03833UCL=0.1252LCL=0123456789100.40.50.60.70.80.91.01.1PartIDOperatorOperator*PartIDInteractionAverage1231230.40.50.60.70.80.91.01.1OperatorByOperator123456789100.40.50.60.70.80.91.01.1PartIDByPartID%Contribution%StudyVar%ToleranceGageR&RRepeatReprodPart-to-Part050100ComponentsofVariationPercentGageR&R(ANOVA)forMeasureGagename:Dateofstudy:Reportedby:Tolerance:Misc:00.30.40.50.60.70.80.91.01.1123XbarChartbyOperatorSampleMeanMean=0.8075UCL=0.8796LCL=0.735400.000.050.100.15123RChartbyOperatorSampleRangeR=0.03833UCL=0.1252LCL=0123456789100.40.50.60.70.80.91.01.1PartIDOperatorOperator*PartIDInteractionAverage1231230.40.50.60.70.80.91.01.1OperatorByOperator123456789100.40.50.60.70.80.91.01.1PartIDByPartID%Contribution%StudyVar%ToleranceGageR&RRepeatReprodPart-to-Part050100ComponentsofVariationPercentGageR&R(ANOVA)forMeasure12345213261,3,4,5,8139,10132,6,71330MSA210522AB12345678910123456789101212………1212…1.2.2-520-503.2-32-34.5.=95%=100%!!1.2.2-520-503.2-32-34.5.=95%=100%!!Minitab:StatQualityToolsAttributeGageR&RStudy:.MTV:.MTVAttributeGageR&RStudyAttributeGageR&RStudyforMeasurementWithinAppraiserAssessmentAgreementAppraiser#Inspected#MatchedPercent(%)95.0%CI11010100.0(92.8,100.0)210880.0(44.4,97.5)310990.0(55.5,99.7)#Matched:Appraiseragreeswithhim/herselfacrosstrials.1EachAppraiservsStandardAssessmentAgreementAppraiser#Inspected#MatchedPercent(%)95.0%CI110990.0(55.5,99.7)210880.0(44.4,97.5)310990.0(55.5,99.7)#Matched:Appraiser'sassessmentacrosstrialsagreeswithstandard.2AssessmentDisagreement#/#/AppraiserPercent(%)Percent(%)#MixedPercent(%)1110.000.000.0200.000.0220.0300.000.0110.0#/:Assessmentsacrosstrials=/standard=.#/:Assessmentsacrosstrials=/standard=.#Mixed:Assessmentsacrosstrialsarenotidentical.3BetweenAppraisersAssessmentAgreement#Inspected#MatchedPercent(%)95.0%CI10880.0(44.4,97.5)#Matched:Allappraisers'assessmentsagreewitheachother.45AllAppraisersvsStandardAssessmentAgreement#Inspected#MatchedPercent(%)95.0%CI10880.0(44.4,97.5)#Matched:Allappraisers'assessmentsagreewithstandard.≥≥123405060708090100AppraiserPercentWithinAppraiser123405060708090100AppraiserPercentAppraiservsStandardAssessmentAgreementDateofstudy:Reportedby:Nameofproduct:Misc:[,]95.0%CIPercent123405060708090100AppraiserPercentWithinAppraiser123405060708090100AppraiserPercentAppraiservsStandardAssessmentAgreementDateofstudy:Repo