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【正文】 proximationofthewidthoftheregionIIareasoastocalculatethemeasurementsystemGRR.AlsousedfillergageasexampletoperformSignalDetectionapproach.Thetoleranceis~.Theprocessneedstotakearandomsampleof50partsfromthepracticalprocessanduse3appraiserswhomake3measurementsoneachpart,andthengotfollowingtable:Table8IIII TargetII IIIUSLLSLTable8SignalDetectionTableforFillerGageTable8SignalDetectionTableforFillerGageAnalysis Techniques: Attribute Gage Study?Abovetable8showsthe50partsmeasurementresult,“0”standardrejected,“1”standardacceptable,code“”standardregionI,code“x”standardregionII,code“+”standardregionIII.?AndthenbaseonthepartreferencevaluetoarrangeinorderfromMax.toMin.,meanwhiletoshowthecode:Table9RegionIII RegionIRegionIRegionII RegionIIAnalysis Techniques: Attribute Gage Study?NextstepweshouldfindXavaluewhichlocatedregionI,butisthenearesttoregionII.XbvaluewhichlocatedregionIII,butisthenearesttoregionII.AndthencalculatethedistanceofregionII.dLSL =Xa,LSL Xb,LSL=–=dUSL =Xa,USL Xb,USL =–=–GRR = = = dUSL +dLSL2 +%GRR = = = =% GRRUSL LSL ?Conclusion:The%GRR islargerthan10%,butlessthan30%,itmaybeacceptablebaseduponimportanceofapplication,costofmeasurementdevice,costofrepairs,etc.Analysis Techniques: Attribute Gage Study?Long MethodisusedtheconceptoftheGagePerformanceCurve(GPC)todevelopameasurementsystemstudy.Itfocusesonassessingtherepeatabilityandbiasofthemeasurementsystem.ThepurposeofdevelopingaGPCistodeterminetheprobabilityofeitheracceptingorrejectingapartofsomereferencevalue.?ThefirststepofLongMethodisthepartselection.Itisnecessarytoknowthepartreferencevaluewhichwasmeasuredwithvariablemeasurementsystem.Theapproachshouldselect8partsasnearlyequidistantintervalsaspractical.TheMaximumandminimumvaluesshouldrepresenttheprocessrange.The8partsmustbemeasured20timeswiththeattributegage.Weuse“m”torepresentthemeasuringtimes,use“a”torepresentthenumberofaccepts.Forthesmallest(orlargest)part,thevaluemustbea=0。Forthelargest(orsmallest)part,thevaluemustbea=20。Forthe6otherparts,thevalue1≤a≤19.Analysis Techniques: Attribute Gage Study……8 Samples1 Appraiser20 TrialsAnalysis Techniques: Attribute Gage StudyExample:Weuseafillergagetomeasurethefittinggapbetweenbatteryandhandphonewhichspecificationis0~.Thenumberofacceptsforeachpartare:Table10Table10Analysis Techniques: Attribute Gage Study?Thesecondstepistheacceptanceprobabilitiescalculationforeachpartusingthebinomialadjustments:Table11P39。a=ifa+m am ,a≠0ifamam ,a≠ 20if am =Analysis Techniques: Attribute Gage Study?Thethirdstep:PlotGagePerformanceCurvewithpartreferencevalueXTasXaxis,andtheprobabilityofacceptanceP39。a asYaxisGagePerformanceCurveAnalysis Techniques: Attribute Gage Study?Thefourthstep:BaseonGagePerformanceCurvetofindXTvalueatPa =%andPa =%(usingnormalprobabilitypapercangetmoreaccurateestimates).WealsocanuseStatisticalForecastcalculationtogettheXTvalue.XT=atPa =%XT=atPa =%Bias=XT(atPa =%)USL=–=TherepeatabilityisdeterminedbyfindingthedifferencesoftheXTvaluecorrespondingtoPa =%andPa =%anddividingbyanadjustmentfactorof.Repeatability= XT(atPa =%)XT(atPa =%)==–Analysis Techniques: Attribute Gage Study?Conclusion:Becausethefillergagerepeatabilityis%,Biasis%.Bothofthemarelessthan10%,sothegagecanbeacceptedtouse.Four Methods Comparison?Thefourmethodsforattributemeasurementstudyhaverespectivefeature.TheShortmethodlooklikesimple,butitneedtoselectenoughpartswhichareslightlybelowandabovebothspecificationlimits,andmustmeasurevariablereferencevalueinadvance.HypothesisTestdidn’tneedtomeasurethevariablereferencevalue,soitisfeasibleformanufacturing,butitneedlargesamplesize.SignalDetectionmethodcandetermineanapproximationofthewidthoftheregionIIareasoastocalculatethemeasurementsystemGRR.LongmethodisusedtheconceptoftheGagePerformanceCurve(GPC)toassesstherepeatabilityandbiasofthemeasurementsystem.Whentheimportanceofthemeasurementsystemneedtobehighlyassured,theSignalDetectionmethodandLongmethodwouldbenecessary.Althoughthestatisticalcalculationprocessforabovemethodsisplex,nowwearedesigningasoftwaretobeabletoperformthefourmethodsprocessandcalculation.謝謝觀看 /歡迎下載BY FAITH I MEAN A VISION OF GOOD ONE CHERISHES AND THE ENTHUSIASM THAT PUSHES ONE TO SEEK ITS FULFILLMENT REGARDLESS OF OBSTACLES. BY FAITH I BY FAI