AIAG SPC

AIAG Gage R&R Part NumberAverage & Range Met 1 2 3 4 5 6 7

Appraiser 1 Trial 1 0.29 -0.56 1.34 0.47 -0.8 0.02 0.59Trial2 0.41 -0.68 1.17 0.5 -0.92 -0.11 0.75Trial3 0.64 -0.58 1.27 0.64 -0.84 -0.21 0.66

Appraiser 2 Trial 1 0.08 -0.47 1.19 0.01 -0.56 -0.2 0.47Trial2 0.25 -1.22 0.94 1.03 -1.2 0.22 0.55Trial3 0.07 -0.68 1.34 0.2 -1.28 0.06 0.83

Appraiser 3 Trial 1 0.04 -1.38 0.88 0.14 -1.46 -0.29 0.02Trial2 -0.11 -1.13 1.09 0.2 -1.07 -0.67 0.01Trial3 -0.15 -0.96 0.67 0.11 -1.45 -0.49 0.21

Ford Verification DataAppraiser 1 Trial 1 3.63957 3.93548 3.84455 4.1651 4.28118 3.43333 3.80442

Trial2 3.57531 3.93015 3.88189 4.22454 4.30886 3.44552 3.84481Trial3 3.61748 3.89916 3.79324 4.18314 4.25248 3.36779 3.78816

Appraiser 2 Trial 1 3.58826 3.91847 3.85039 4.16154 4.22682 3.40564 3.80264Trial2 3.62865 3.90653 3.84887 4.20828 4.23444 3.39446 3.80366Trial3 3.63094 3.94514 3.8509 4.23495 4.27788 3.39599 3.8001

Appraiser 3 Trial 1 3.57734 3.88087 3.85293 4.17678 4.26467 3.43282 3.81052Trial2 3.58268 3.87173 3.78054 4.16129 4.23876 3.37973 3.79959Trial3 3.62865 3.87351 3.7968 4.1745 4.19888 3.3998 3.78664

Specification Tolerance = 2

Required Outputs8.239.748.27

10.28Number of distinct categories 14

Gage R&R as a percent of tolerance using the ANOVA Method (See Measurement System Analysis Third Edition)Gage R&R as a percent of study variation using the ANOVA Method (See Measurement System Analysis Third Edition)Gage R&R as a percent of tolerance using the Average and Range Method (See Measurement System Analysis Third Edition)Gage R&R as a percent of study variation using the Average and Range Method (See Measurement System Analysis Third Edition)

A1

Measurement systems have two components: repeatability and reproducibility.

A2


B3

Gage R&R needs a minimum of two trials, parts, and operators.

C3

Put trial data for each part into these cells. R&R is calculated below.

B15


Attribute Appraiser A Appraiser B8 9 10 Part # Trial 1 Trial 2 Trial 3 Trial 1 Trial 2-0.31 2.26 -1.36 USL=0.545 1 1 1 1 1 1

-0.2 1.99 -1.25 LSL=0.45 2 1 1 1 1 1-0.17 2.01 -1.31 3 0 0 0 0 0-0.63 1.8 -1.68 4 0 0 0 0 00.08 2.12 -1.62 5 0 0 0 0 0

-0.34 2.19 -1.5 6 1 1 0 1 1-0.46 1.77 -1.49 7 1 1 1 1 1-0.56 1.45 -1.77 8 1 1 1 1 1-0.49 1.87 -2.16 9 0 0 0 0 0

10 1 1 1 1 111 1 1 1 1 112 0 0 0 0 0

3.93066 4.14554 4.22784 13 1 1 1 1 13.90602 4.15316 4.21844 14 1 1 0 1 13.89789 4.19837 4.24714 15 1 1 1 1 1

16 1 1 1 1 13.86563 4.14732 4.22073 17 1 1 1 1 13.84912 4.09804 4.2187 18 1 1 1 1 13.87503 4.1237 4.21311 19 1 1 1 1 1

20 1 1 1 1 13.85141 4.14072 4.22352 21 1 1 0 1 0

3.8857 4.15189 4.21133 22 0 0 1 0 13.85217 4.12522 4.22454 23 1 1 1 1 1

24 1 1 1 1 132 1 1 1 1 133 1 1 1 1 1

25 0 0 0 0 026 0 1 0 0 027 1 1 1 1 128 1 1 1 1 129 1 1 1 1 130 0 0 0 0 031 1 1 1 1 134 0 0 1 0 035 1 1 1 1 136 1 1 0 1 137 0 0 0 0 038 1 1 1 1 139 0 0 0 0 040 1 1 1 1 141 1 1 1 1 142 0 0 0 0 043 1 0 1 1 144 1 1 1 1 145 0 0 0 0 046 1 1 1 1 147 1 1 1 1 148 0 0 0 0 0

49 1 1 1 1 150 0 0 0 0 0

Appraiser B Appraiser CTrial 3 Trial 1 Trial 2 Trial 3 Ref Value

1 1 1 1 0.4769011 1 1 1 0.5090150 0 0 0 0.57364590 0 0 0 0.5661520 0 0 0 0.570360 1 0 0 0.5449511 1 0 1 0.4654541 1 1 1 0.5022950 0 0 0 0.4378171 1 1 1 0.5155731 1 1 1 0.4889050 0 1 0 0.5599181 1 1 1 0.5417041 1 0 0 0.4545181 1 1 1 0.5173771 1 1 1 0.5319391 1 1 1 0.5196941 1 1 1 0.4841671 1 1 1 0.5204961 1 1 1 0.4772361 0 1 0 0.452310 1 1 0 0.5456041 1 1 1 0.5290651 1 1 1 0.5141921 1 1 1 0.505851 1 1 1 0.487613

0 0 0 0 0.5995810 0 0 1 0.5472041 1 1 1 0.5024361 1 1 1 0.5216421 1 1 1 0.5237541 0 0 0 0.5614571 1 1 1 0.5030941 0 1 1 0.4496961 1 1 1 0.4986981 1 0 1 0.5430770 0 0 0 0.4092381 1 1 1 0.4881840 0 0 0 0.4276871 1 1 1 0.5011321 1 1 1 0.5137790 0 0 0 0.5665751 1 1 0 0.462411 1 1 1 0.4708320 0 0 0 0.4124531 1 1 1 0.4934411 1 1 1 0.4863790 0 0 0 0.587893

Y3

This reference value is the actual measured value of the part, using a real gage, not a pass/fail one.

1 1 1 1 0.4838030 0 0 0 0.446697

Gage R&R2

Gage R&R Part NumberAverage & Range M 1 2 3 4 5

Enya Trial 1 21.24 21.65 22.28 23.28 21.85Trial2 21.33 21.67 22.34 23.23 21.84Trial3 21.29 21.6 22.31 23.34 21.93Trial4 21.34 21.56 22.31 23.27 21.89

Lucy Trial 1 21.19 21.5 22.17 23.14 21.78Trial2 21.29 21.51 22.14 23.09 21.84Trial3 21.24 21.55 22.23 23.02 21.76Trial4 21.21 21.55 22.18 23.19 21.81

A1


A2


B3


C3

Put trial data for each part into these cells. R&R is calculated below.

Gage R&R2

From Six Sigma for Greenbelts and ChampionsPg 115

37.2 36.9 38.1 37.5 37.7 Subgroup Size 537.8 37.9 38.2 36.8 37.8 Upper Specification Lim 39.0 Part specification: 37.0 ± 2.037.1 38.2 37.2 37.5 37.7 Lower Specification Lim 35.037.8 38.1 37.2 37.3 37.5

36.2 35.8 35.8 35.5 36 Required Outputs from Statistical Sofware36.5 35.9 35.9 36.4 36.4

36.6 36.1 36.4 36.9 36 AIAG Method (defined on p.80 of the SPC manual 1st edition)36.3 36.8 36.5 36.7 36.3 Cpk 1.5536.5 36.9 36.8 36.7 37.5 Cp 1.6736.6 37.2 37.1 37.4 37.3 Ppk 0.9836.2 37.2 36.1 36.3 36.2 Pp 1.0636.9 36.8 36.7 36.6 36.3

37.1 37.9 38.1 37.6 37.5 Other Acceptable Values Using Different Estimates of Sigma37.6 38.2 38.1 37.8 37.2 Cpk 1.6036.8 37.5 37.1 37.4 36.5 Cp 1.7337.3 37.1 36.7 37.5 37.6 Cpk 1.6136.1 37.2 37.1 36.9 36.2 Cp 1.7336.5 36.7 36.8 36.9 36.7 Ppk 0.9836.3 36.2 36.5 36.5 35.8 Pp 1.0535.8 36.5 36.4 36 3637.1 37.9 36.5 36.9 36.936.8 37.2 37.3 37.4 36.635.9 36.1 37 36.6 36.136.3 37.4 36.6 36.3 3636.1 37.1 36.9 36.8 36.736.8 36.2 36.6 36.8 37.1

using R bar divided by d2 to estimate "within" sigmastandard deviation to estimate "overall" sigma

standard deviation divided by c4 (unbiasing constant) standard deviation to estimate "within" sigmastandard deviation divided by c4 (unbiasing constant)

Part specification: 37.0 ± 2.0

AIAG Method (defined on p.80 of the SPC manual 1st edition)

Other Acceptable Values Using Different Estimates of Sigma

Subgroup 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16x1 5.4 4.8 7.2 4.7 4.5 5.7 4.9 6.0 5.9 3.5 3.9 5.6 3.8 5.3 3.9 6.5x2 6.2 6.3 4.6 4.3 5.7 4.2 3.7 3.0 3.9 5.7 4.2 4.5 3.2 6.3 4.7 4.7x3 5.5 4.0 5.6 6.9 5.3 2.7 4.3 5.3 6.5 3.2 6.2 5.4 4.9 2.7 5.2 3.7x4 5.1 6.0 5.1 6.8 5.4 5.1 4.1 3.9 2.7 3.6 6.3 4.4 5.0 4.4 4.3 4.2x5 4.8 4.1 6.6 4.4 5.3 5.9 5.4 5.3 4.6 5.2 4.0 6.6 6.4 4.5 4.1 5.5Diameter 1DiametDiametDiametDiameter 5

22.30 22.54 22.01 22.62 22.65 pg 186 AIAG SPC (2nd)22.86 22.68 22.43 22.58 22.7322.88 22.68 22.46 22.30 22.61 USL22.44 22.66 22.48 22.37 22.56 23.522.59 22.65 22.78 22.58 22.33 LSL22.37 22.34 22.75 22.71 22.51 21.522.23 22.36 22.90 22.45 22.4822.60 22.72 22.35 22.51 22.6922.61 22.52 22.52 22.49 22.3122.42 22.64 22.52 22.40 22.6322.28 22.55 22.38 22.65 22.5622.54 22.25 22.40 22.72 22.9022.31 22.57 22.38 22.58 22.3022.42 22.21 22.45 22.24 22.5522.25 22.36 22.25 22.34 22.6722.65 22.50 22.41 22.39 22.4822.50 22.86 22.60 22.60 22.6622.79 22.61 22.91 22.66 22.3722.65 22.75 21.92 22.00 22.4522.51 22.58 22.46 22.76 22.5622.48 22.38 22.28 22.72 22.9622.53 22.52 22.61 22.62 22.6022.54 22.56 22.36 22.46 22.7122.84 22.52 22.88 22.68 22.5422.76 22.65 22.51 22.77 22.43

17 18 19 20 21 22 23 24 25 26 27 28 pg 78 AIAG SPC (2nd)7.5 6.4 5.6 6.3 4.6 3.5 5.2 4.2 5.2 6.4 4.5 5.4 DIOUEW Length6.4 4.2 6.7 8.1 5.8 5.0 6.1 4.4 5.1 6.4 5.2 5.6 Part: Qubic Release4.7 4.6 4.9 5.1 4.7 5.9 3.8 5.0 3.5 5.9 4.9 3.3 USL 10.06.7 5.5 5.4 5.5 4.1 3.0 4.3 5.0 6.9 4.9 4.0 5.4 LSL 0.04.7 4.0 6.9 7.7 7.0 3.2 4.1 3.9 5.2 5.9 5.5 3.8

document.xls

Date/time S1 S2 S3 S4 S5 Juran QC Handbook pg 24.166/8 8am 0.65 0.7 0.65 0.65 0.85 AIAG SPC pg 34

10am 0.75 0.85 0.75 0.85 0.65 Bend Clip "Gap"12pm 0.75 0.8 0.8 0.7 0.752pm 0.6 0.7 0.7 0.75 0.65 USL .90mm

6/9 8am 0.7 0.75 0.65 0.85 0.8 LSL .50mm10am 0.6 0.75 0.75 0.85 0.712pm 0.75 0.8 0.65 0.75 0.72pm 0.6 0.7 0.8 0.75 0.75

6/10 8am 0.65 0.8 0.85 0.85 0.7510am 0.6 0.7 0.6 0.8 0.6512pm 0.8 0.75 0.9 0.5 0.82pm 0.85 0.75 0.85 0.65 0.7

6/11 8am 0.7 0.7 0.75 0.75 0.710am 0.65 0.7 0.85 0.75 0.612pm 0.9 0.8 0.8 0.75 0.852pm 0.75 0.8 0.75 0.8 0.65

6/12 8am 0.75 0.7 0.85 0.7 0.810am 0.75 0.7 0.6 0.7 0.612pm 0.65 0.65 0.85 0.65 0.72pm 0.6 0.6 0.65 0.6 0.65

6/15 8am 0.5 0.55 0.65 0.8 0.810am 0.6 0.8 0.65 0.65 0.7512pm 0.8 0.65 0.75 0.65 0.652pm 0.65 0.6 0.65 0.6 0.7

6/16 8am 0.65 0.7 0.7 0.6 0.65

XmR

Acid Concentration pg 86 AIAG SPC (2nd)11-2 2pm 8.0

8.5 USL none7.4 LSL 9

10.511-2 3pm 9.3

11.110.410.4

11-3 1pm 9.010.011.710.3

11-3 2pm 16.211.611.511.0

11-3 3pm 12.011.010.210.1

11-4 1pm 10.510.311.511.1

Length 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 8 9 10x1 16 16 16 15 16 13 13 14 13 15 11 17 20 18 12 11 17 13 19 14x2 14 15 13 13 15 13 11 16 17 14 19 16 19 16 13 20 17 15 13 14x3 13 13 16 13 16 14 15 17 14 17 14 11 18 13 15 14 15 18 10 16x4 12 15 15 13 14 17 17 14 17 20 15 14 19 15 12 17 13 11 12 14x5 17 17 15 14 17 18 13 14 13 18 17 16 16 13 13 9 15 13 14 13

2/9 7am

2/10 7

11 12 1 2 3 4 pg 84 AIAG SPC (2nd)13 16 18 14 15 1717 15 18 15 14 14 USL 1917 14 17 16 16 18 LSL 1116 17 17 15 14 1314 16 13 14 14 16

p chart

Final TestUnder Torque 2 4 8 5 5 9 9 7 8 5 8 7 6 14 6 3Non-start 6 4 7 5 2 8 4 3 2 5 4 9 3 8 4 3Leaker 4 7 3 3 2 9 4 4 6 8 4 8 2 9 6 4Smoker 1 1 1

Final Test Discr 12 15 19 13 9 26 18 14 17 18 16 24 11 31 16 10Sample (n) 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500 500

p chart

Total pg 88 AIAG SPC (2nd)4 8 8 5 5 5 6 9 6 1623 5 5 5 2 4 4 3 5 1139 4 6 5 1 4 2 5 6 125

1 1 5

16 17 20 15 8 13 12 17 18 Constant control limits apply when:500 500 500 500 500 500 500 500 500 Min(n)/Max(n) < 0.75

p chart

Constant control limits apply when:

p chart var

Discrepanc Sample (n)Jan-20 8 968Jan-21 13 1216Jan-22 13 804Jan-25 16 1401Jan-26 14 1376Jan-27 15 995Jan-28 13 1202Jan-29 10 1028Feb-1 24 1184Feb-2 18 542Feb-3 16 1325Feb-4 17 1066Feb-5 19 1721Feb-8 9 1305Feb-9 14 1190

Feb-10 9 2306Feb-11 13 1365Feb-12 5 973Feb-15 15 1058Feb-16 19 1244Feb-17 10 392Feb-18 17 1433Feb-19 13 1255Feb-22 15 1352Feb-23 21 1187

np chart

Spot Weld FlawsUndersize 2 4 3 3 2 6 4 0 6 5 4 1 2 2 6 3 8 4 3 4Cold Weld 1 1Missing 1 1 1Off-Location 1 1

Spot Weld Flaws 2 5 4 3 3 6 5 0 7 5 4 1 2 3 6 3 8 4 4 4Sample 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62 62

np chart

Total pg 92 AIAG SPC (2nd)5 4 2 3 6 92

21 4

1 3

6 4 2 3 762 62 62 62 62

c chart

Date/Bolt 2 3 4 5 2 3 2 3 4 5 11-17 1 2 3 4 2 3 4vr721' 4 1 6 4 4 4 3 1 1 1 1vr1050 1 3 1 1 2 1 1 1 1 1 3 2 1 1 2 1vr1901 2 7 1 2 3 3 3 4 1 2 1 2 3vr1942 4 4 8 1 1 1 1 5 2 4 3 1vr3017 2 7 8 1 3 3 2 4 5 5 2 1 2

Date/Bolt 2 3 4 5 2 3 2 3 4 5 11-17 1 2 3 4 2 3 4Number 9 15 11 8 17 11 5 11 13 7 10 12 4 3 7 2 3 3 7 2 7

11-9 1

11-10 1

11-16 1

11-18 1

11-9 1

11-10 1

11-16 1

11-18 1

c chart

5 2 3 pg 96 AIAG SPC (2nd)1

1 13 41 34 5

5 2 39 1 5 8

11-19 1

11-19 1

u chart

Dock Audit Total pg 94 AIAG SPC (2nd)nd013 1 1 3 1 3 2 6 17nd018 1 1 1 3 7 1 1 1 1 6 23nd043 3 7 1 2 2 2 1 9 27nd050 2 1 1 1 1 1 1 1 2 11nd084 3 3 2 2 1 3 1 1 1 1 1 19vr721 4 1 1 6 1 1 1 3 1 19vr1050 1 3 4 1 1 2 1 1 1 1 1 17vr1901 1 1 2 1 2 3 3 3 4 3 23vr1942 4 4 5 1 1 1 1 5 22vr3017 2 7 8 1 2 4 5 5 34

Number 8 17 18 15 23 9 19 6 14 17 13 15 16 22 Constant control limits apply when:Sample (n) 8 8 9 8 8 7 7 8 8 8 7 8 9 9 Min(n)/Max(n) < 0.75

u chart

Constant control limits apply when:

AIAG SPC

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