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Measurement Discrimination Study #DIV/0! r = #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! of the total variation #DIV/0! Dr should be > 7.0 to proceed. se = sp = Dr = sT = se is 0.0000 0.2000 0.4000 0.6000 0.8000 1.0000 0.0000 0.1000 0.2000 0.3000 0.4000 0.5000 0.6000 0.7000 0.8000 0.9000 1.0000 Measurement Discrimination Plot Axis Title Axis Title r 1 s s D r 1 1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47 49 51 53 55 57 59 61 63 65 67 69 71 73 75 77 79 81 83 85 87 89 91 93 95 97 99 0 2 4 6 8 10 12 Measurement Range Chart

Measurement System Analysis

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Excel Template for:1. Discrimination Plot2. Kappa Repeatability3. Group Kappa4. GR&R Reproducibility5. GR&G Equipment Bias6. Method Comparison

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Measurement Discrimination

Discrimination PlotEnter Data in lightly shaded cellsProblem:00Characteristic:00If sT is known, from historical data,Equipment/Units:00sT =Date:0December 31, 1899LSLMeasurement 'A':00USLMeasurement 'B':0Change graph scales (X AND Y)0Sample Size Requested:100to be equal and just greater than0Current Sample Size:100your data range0MeasurementMRProductReadings0UnitABProductAverage XRangeMRUCLR0100000020000000300000004000000500000060000000700000008000000090000000100000000110000000120000000130000000140000000150000000160000000170000000180000000190000000200000000210000000220000000230000000240000000250000000260000000se =0r =0.0000270000000sp =0Dr =0.0280000000sT =0se is0.00%of the total variation29000000030000000003100000032000000Dr should be > 7.0 to proceed.33000000340000003500000036000000370000003800000039000000400000004100000042000000430000004400000045000000460000004700000048000000490000005000000051000000520000005300000054000000550000005600000057000000580000005900000060000000610000006200000063000000640000006500000066000000670000006800000069000000700000007100000072000000730000007400000075000000760000007700000078000000790000008000000081000000820000008300000084000000850000008600000087000000880000008900000090000000910000009200000093000000940000009500000096000000970000009800000099000000100000000n=0Averages:0000Tolerance Zone00000000000000Scratch Pad - Do Not Edit00000000000000000

&C&"Arial,Bold"&12Measurement Discrimination Study

Discrimination Plot

Measurement Discrimination Plot

Kappa Repeatability

Measurement Range Chart

Group KappaEnter Data in shaded cellsProblem:0Characteristic:0Equipment/Units:0Date:December 31, 1899sample size default = 20Measurement 'A':25.6n = 101Measurement 'B':24.4Enter data here25.6Measurement Aor herePassFailPassFail24.4Pass262651Measurement BPass0.2520.2520.505Fail242650Fail0.2420.2530.49550511010.4940.506K=0.01MeasurementA/BUnitABP/PF/PP/FF/F125.126325.12520000225.121925.13180000325.095725.0961000024.4425.164625.1660000Fail525.036625.04480000625.085825.1060000725.131125.10380000Pass825.150425.15050000925.066925.049800001025.109625.046700001125.091825.06370000PassFail1225.16125.138200001325.123425.0946000025.614000015000016000017000018000019200000210000n=1010000Pass00Fail00ABBubble110.252210.252120.242220.2531=Pass2=Fail

Change&C&"Times New Roman,Bold"&12Measurement Discrimination Pass/Fail Data Kappa Test

Group Kappa

GR&R ReproducibilityInstructionsAmountStep 1. Fill out yellow spaces under Amount then click make tableNumber of Sample2KscoreStep 2. Fill in yellow space in table with dataNumber of Judges2Step 3. Click Calculate ResultsNumber of Catagories2Cat 0Cat 1Sample 1Sample 2SumPjKj

IncreaseMake TableCalculate Results

GR&G Equipment BiasGage R & R: Multiple OperatorsData SheetREPEATABILLITY & REPRODUCIBILITYREPEATABILLITY & REPRODUCIBILITYREPEATABILLITY & REPRODUCIBILITYREPEATABILLITY & REPRODUCIBILITYPart Name/NumberInitial CheckOverall System R&RIndividual Operator RepeatabilityOperator to Operator Comparison PlotsCharacteristic Name0000Equipment & Units0000Date of Study0000Tolerance RangeDecember 31, 1899December 31, 1899December 31, 1899December 31, 1899sT, If KnownRound to:decimalsEnter Data in Shaded CellsYou need at least two operators to perform a reproducibility studyYou may want to adjust the graphical output to plot only the number of operators you had in your studyOperator 1Operator 2Operator 3Operator 4UnitUnitTrial ATrial BTrial ATrial BTrial ATrial BTrial ATrial BAverage1010.210.69.710.1205.95.45.14.6301.21.811.64012.111.511.6115014.514.813.714608.57.48.37.2709.310.18.89.6809.48.68.67.8906.55.96.35.71004.85.24.34.71106.97.26.16.41204.53.94.33.7se =0se =01302.83.42.32.9Dr =0.0Dr =0.01408.69.17.88.31507.87.17.66.91605.86.25.35.71706.57.15.76.31802.92.32.72.119013.212.612.712.120015.615.914.815.12109.69.19.48.922010.411.29.910.7Repeatabilityse =023010.59.79.78.9Reproducibilityso =02407.66.57.46.3R&RsR&R =00.00%of the total variation2505.35.94.85.4Total VariationsT =026088.37.27.52705.655.44.8Dre =0.02803.94.53.44Dr R&R=0.00se =0se =02909.710.28.99.4Dr =0.0Dr =0.03008.98.28.78AvgAvg_1:0Avg_2:0Avg_3:0Avg_4:00Grand Unit AvgRngAvg R_Op1:0Avg R_Op2:0Avg R_Op3:0Avg R_Op4:00Unit Avg Range00# Oper0d2 (#op):0d2 (test-retest):1.12800#Units0d2 (#units):error000Repeatabilityse =0re =0.0000DRe =0.0se is0.00%of the total variationReproducibilityso =00R&RsR&R =0rR&R =0.0000DR R&R=0.0sR&R is0.00%of the total variationTotal VariationsT =00=SQRT(((MAX(C43,E43,G43,I43)-MIN(C43,E43,G43,I43))/E48)^2-(D51^2/B48))You may want to adjust the graphical output to plot only the number of operators you had in your studyCONTROL CHART CALCULATIONSOp/UnitTrial ATrial BUnit AvgRangeAverage RVector1-1000001-200001-300001-400001-500001-600001-700001-800001-900001-1000001-1100001-1200001-1300001-1400001-1500001-1600001-1700001-1800001-1900001-2000001-2100001-2200001-2300001-2400001-2500001-260000Rbar 101-270000se01-280000sT01-290000r01-300000Dr002-100002-200002-300002-400002-500002-600002-700002-800002-900002-1000002-1100002-1200002-1300002-1400002-1500002-1600002-1700002-1800002-1900002-2000002-2100002-2200002-2300002-2400002-2500002-260000Rbar 202-270000se02-280000sT02-290000r02-300000Dr003-100003-200003-300003-400003-500003-600003-700003-800003-900003-1000003-1100003-1200003-1300003-1400003-1500003-1600003-1700003-1800003-1900003-2000003-2100003-2200003-2300003-2400003-2500003-260000Rbar 303-270000se03-280000sT03-290000r03-300000Dr004-100004-200004-300004-400004-500004-600004-700004-800004-900004-1000004-1100004-1200004-1300004-1400004-1500004-1600004-1700004-1800004-1900004-2000004-2100004-2200004-2300004-2400004-2500004-260000Rbar 404-270000se04-280000sT04-290000r04-300000Dr0Scratch Pad - Do Not Edit00000000000000000MEAUREMENT VARIATION STABILITY CALCULATIONSREPRODUCIBILITY CALCULATIONSsOp AvgOp AvgUCLLCLAvg RGrand RUCLR0000Op 1000Avg_Op10000Op 2000Avg_Op20000Op 3000Avg_Op30000Op 4000Avg_Op40000Grand R0UCLR0=IF(OR(B203>D203,B204>D204,B205>D205,B206>D206),"measurement variation is NOT stable","Measurement variation is stable")=IF(OR(H203>J203,H203J204,H204J205,H205J206,H206>K206),"There is a statistically significant diference between operators","There is no statistically significant difference between operators")The control chart method used here was first published in the AT&T book "Statistical QualityControl Handbook", 1956This method has been enhanced based on the work by Donald Wheeler andRichard Lyday, published in "Evaluating The Measurement Process", 1989

&CPage &P of &N

GR&G Equipment Bias

&APage &POperatorProduct AverageOperator Reproducibility

Method Comparison

&APage &POperatorMeasurement Variation Stability

Trial ATrial BOperator 1

Trial ATrial BOperator 2

Trial ATrial BOperator 3

Trial ATrial BOperator 4

Operator 1Operator 2Operator 3Operator 41:1 LineMeasurement AMeasurement BAll Operators

Operator 1Operator 1Operator 2Operator 1:2

Operator 1Operator 3Operator 1:3

Operator 1Operator 4Operator 1:4

Operator 2Operator 3Operator 2:3

Operator 2Operator 4Operator 2:4

Operator 3Operator 4Operator 3:4

Gage R & R: Bias Study Between Two SystemsREPEATABILLITY & REPRODUCIBILITYREPEATABILLITY & REPRODUCIBILITYData SheetInitial CheckReproducibility Between Two SystemsPart Name/Number00Characteristic Name00Equipment A / Equipment B00Date of StudyDecember 31, 1899December 31, 1899Tolerance RangesT, If KnownRound to:decimalsEnter Data in Shaded CellsYou need two different measurement systems to perform a bias studyEquipment AEquipment AUnitEq - Eqb =0UnitTrial ATrial BTrial ATrial BAverageRangea =01002003004005006007008000900100011001200130014001500160017001800190020002100Y = aX + b2200Bias Calculations:a =02300b =024000250026000270028002900Repeatability:0003000se =0se =00AvgAvg_1:0Avg_2:000Dr =0.0Dr =0.0RngAvg R_Eq1:0Avg R_Eq2:00Reproducibility 0 to 0:se =0Dr =0.000Reproducibilityse =0se =0se =0sT =0sT =0sT =0r =0.00r =0.00r =0.00Dr =0.0Dr =0.0Dr =0.0CONTROL CHART CALCULATIONSOp/UnitTrial ATrial BUnit AvgRangeAverage RVector1-1000001-200001-300001-400001-500001-600001-700001-800001-900001-1000001-1100001-1200001-1300001-1400001-1500001-1600001-1700001-1800001-1900001-2000001-2100001-2200001-2300001-2400001-2500001-2600001-2700001-2800001-2900001-30000002-100002-200002-300002-400002-500002-600002-700002-800002-900002-1000002-1100002-1200002-1300002-1400002-1500002-1600002-1700002-1800002-1900002-2000002-2100002-2200002-2300002-2400002-2500002-2600002-2700002-2800002-2900002-300000Scratch Pad - Do Not Edit00000000000000000MEAUREMENT VARIATION STABILITY CALCULATIONSAvg RGrand RUCLR00000000Grand R0UCLR00This method has been enhanced based on the work by Donald Wheeler andRichard Lyday, published in "Evaluating The Measurement Process", 1989

&CPage &P of &N

Average RangeMeasurement Variation Stability

Equipment A1:1 LineBias Plot

Equipment AEquipment A1:1 Line1st Measurement2nd MeasurementBoth Measurement Systems

Enter Data in lightly shaded cellsProblem:00Characteristic:00If sT is known, from historical data,Equipment/Units:00LSL25.4Date:0December 31, 1899USL24.5Measurement System 1:0Measurement System 2:0Sample Size Requested:130Current Sample Size:130Do not enter data into these dark shaded cellsMeasurement System 1Measurement System 2System 1System 2Method ComparisonUnitABABMeanDifferenceCenterUCLLCLMeanDifferenceCenterUCLLCLMeanDifferenceCenterUCLLCL125.126325.125225.126325.125225.12575-0.0011-0.01137692310.0334448837-0.056198729825.12575-0.0011-0.01137692310.0334448837-0.056198729825.12630000225.121925.131825.121925.131825.126850.0099-0.01137692310.0334448837-0.056198729825.126850.0099-0.01137692310.0334448837-0.056198729825.12190000325.095725.096125.095725.096125.09590.0004-0.01137692310.0334448837-0.056198729825.09590.0004-0.01137692310.0334448837-0.056198729825.09570000425.164625.16625.164625.16625.16530.0014-0.01137692310.0334448837-0.056198729825.16530.0014-0.01137692310.0334448837-0.056198729825.16460000525.036625.044825.036625.044825.04070.0082-0.01137692310.0334448837-0.056198729825.04070.0082-0.01137692310.0334448837-0.056198729825.03660000625.085825.10625.085825.10625.09590.0202-0.01137692310.0334448837-0.056198729825.09590.0202-0.01137692310.0334448837-0.056198729825.08580000725.131125.103825.131125.103825.11745-0.0273-0.01137692310.0334448837-0.056198729825.11745-0.0273-0.01137692310.0334448837-0.056198729825.13110000825.150425.150525.150425.150525.150450.0001-0.01137692310.0334448837-0.056198729825.150450.0001-0.01137692310.0334448837-0.056198729825.15040000925.066925.049825.066925.049825.05835-0.0171-0.01137692310.0334448837-0.056198729825.05835-0.0171-0.01137692310.0334448837-0.056198729825.066900001025.109625.046725.109625.046725.07815-0.0629-0.01137692310.0334448837-0.056198729825.07815-0.0629-0.01137692310.0334448837-0.056198729825.109600001125.091825.063725.091825.063725.07775-0.0281-0.01137692310.0334448837-0.056198729825.07775-0.0281-0.01137692310.0334448837-0.056198729825.091800001225.16125.138225.16125.138225.1496-0.0228-0.01137692310.0334448837-0.056198729825.1496-0.0228-0.01137692310.0334448837-0.056198729825.16100001325.123425.094625.123425.094625.109-0.0288-0.01137692310.0334448837-0.056198729825.109-0.0288-0.01137692310.0334448837-0.056198729825.12340000-0.0012125.424.527.68260.0108925.424.522.53294

&C&"Arial,Bold"&12Measurement Discrimination Study

DifferenceCenterUCLLCLAverage Value of RepsDifference (Rep A - Rep B)Measurement System 1 Repeatability

DifferenceCenterUCLLCLAverage Value Between SystemsDifference (System 2 - System 1)Measurement System 1 vs. Measurement System 2Method Comparison

DifferenceCenterUCLLCLAverage Value of RepsDifference (Rep A - Rep B)Measurement System 2 Repeatability

ChangeMeasurement System 145 degree lineMeasurement AMeasurement BMeasurement System 1Measurement System 245 degree lineMeasurement AMeasurement BMeasurement System 2

Method Comparison45 degree lineSystem 1System 2Measurement Systems Comparison

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