Gage R&R2 Page 1 Gage R&R Part Number From Six Average & Range Me 1 2 3 4 5 Pg 115 Enya Trial 1 21.24 21.65 22.28 23.28 21.85 Trial2 21.33 21.67 22.34 23.23 21.84 Trial3 21.29 21.6 22.31 23.34 21.93 Trial4 21.34 21.56 22.31 23.27 21.89 Lucy Trial 1 21.19 21.5 22.17 23.14 21.78 Trial2 21.29 21.51 22.14 23.09 21.84 Trial3 21.24 21.55 22.23 23.02 21.76 Trial4 21.21 21.55 22.18 23.19 21.81
AIAG SPC
Oct 25, 2014
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Gage R&R2
Page 1
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
Measurement systems have two components: repeatability and reproducibility.
A2
Measurement systems have two components: repeatability and reproducibility.
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.
Gage R&R2
Page 2
From Six Sigma for Greenbelts and ChampionsPg 115
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 Data
Appraiser 1 Trial 1 3.63957 3.93548 3.84455 4.1651 4.28118 3.43333 3.80442Trial2 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
A1
Measurement systems have two components: repeatability and reproducibility.
A2
Measurement systems have two components: repeatability and reproducibility.
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
Gage R&R needs a minimum of two trials, parts, and operators.
8 9 10-0.31 2.26 -1.36
-0.2 1.99 -1.25-0.17 2.01 -1.31-0.63 1.8 -1.680.08 2.12 -1.62
-0.34 2.19 -1.5-0.46 1.77 -1.49-0.56 1.45 -1.77-0.49 1.87 -2.16
3.93066 4.14554 4.22784 Required Outputs3.90602 4.15316 4.218443.89789 4.19837 4.24714
3.86563 4.14732 4.220733.84912 4.09804 4.2187 Number of distinct categories3.87503 4.1237 4.21311
Specification Tolerance = 23.85141 4.14072 4.22352
3.8857 4.15189 4.211333.85217 4.12522 4.22454
Measurement System Analysis Third Edition)(See Measurement System Analysis Third Edition)Method (See Measurement System Analysis Third Edition)Range Method (See Measurement System Analysis Third Edition)
Required Outputs8.239.748.2710.2814
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 5.5
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 5.46.4 4.2 6.7 8.1 5.8 5.0 6.1 4.4 5.1 6.4 5.2 5.64.7 4.6 4.9 5.1 4.7 5.9 3.8 5.0 3.5 5.9 4.9 3.36.7 5.5 5.4 5.5 4.1 3.0 4.3 5.0 6.9 4.9 4.0 5.44.7 4.0 6.9 7.7 7.0 3.2 4.1 3.9 5.2 5.9 5.5 3.8
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 1417 14 17 16 16 1816 17 17 15 14 1314 16 13 14 14 16
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
document.xls
Page 12
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 0.6512pm 0.75 0.8 0.8 0.7 0.752pm 0.6 0.7 0.7 0.75 0.65
6/9 8am 0.7 0.75 0.65 0.85 0.810am 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
Page 13
Acid Concentration pg 86 AIAG SPC (2nd)11-2 2pm 8.0
8.57.4
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
p chart
Page 14
Under 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
Discrepancies 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
Page 15
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
Page 16
Constant control limits apply when:
p chart var
Page 17
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
Page 18
Total pg 92 AIAG SPC (2nd)Undersize 2 4 3 3 2 6 4 0 6 5 4 1 2 2 6 3 8 4 3 4 5 4 2 3 6 92Cold Weld 1 1 2Missing 1 1 1 1 4Off-Location 1 1 1 3
Number 2 5 4 3 3 6 5 0 7 5 4 1 2 3 6 3 8 4 4 4 6 4 2 3 7Sample 62
np chart
Page 19
pg 92 AIAG SPC (2nd)
c chart
Page 20
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
Page 21
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
Page 22
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
Page 23
Constant control limits apply when:
Related Documents
