Page 1 of 3
GAGE REPEATABILITY AND REPRODUCIBILITY DATA SHEET
Analysed By Gage Name Appraiser A
Hemant HG Monender
Approved By Gage Number Appraiser B
Rakesh Panchal HG-FQ-01 Nitin
Part No. Gage Type Appraiser C
DEGITAL Hement
Part Name SPEC. Trials Parts Appraisers Date Performed
22.8±0.5 3 10 3
APPRAISER/ 1 2 3 4 5 6 7 8 9 10 AVERAGE
TRIAL #
1. A 1 22.88 22.90 22.91 22.85 22.88 22.89 22.88 22.84 22.88 22.84 22.8750
2 2 22.88 22.90 22.91 22.85 22.88 22.89 22.88 22.84 22.87 22.84 22.8740
3 3 22.88 22.90 22.91 22.85 22.88 22.89 22.88 22.84 22.88 22.84 22.8750
4 AVE 22.880 22.900 22.910 22.850 22.880 22.890 22.880 22.840 22.877 22.840 xa= 22.8747
5 R 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.010 0.000 ra= 0.0010
6. B 1 22.87 22.89 22.91 22.86 22.87 22.88 22.88 22.83 22.88 22.85 22.8720
7 2 22.87 22.90 22.91 22.86 22.87 22.88 22.87 22.83 22.88 22.85 22.8720
8 3 22.87 22.90 22.91 22.86 22.87 22.88 22.87 22.83 22.88 22.85 22.8720
9 AVE 22.870 22.897 22.910 22.860 22.870 22.880 22.873 22.830 22.880 22.850 xb= 22.8720
10 R 0.000 0.010 0.000 0.000 0.000 0.000 0.010 0.000 0.000 0.000 rb= 0.0020
11. C 1 22.88 22.90 22.91 22.86 22.88 22.89 22.87 22.84 22.87 22.85 22.8750
12 2 22.87 22.90 22.91 22.85 22.88 22.87 22.87 22.84 22.87 22.84 22.8700
13 3 22.88 22.90 22.91 22.86 22.87 22.88 22.87 22.84 22.87 22.84 22.8720
14 AVE 22.877 22.900 22.910 22.857 22.877 22.880 22.870 22.840 22.870 22.843 xc= 22.8723
15 R 0.010 0.000 0.000 0.010 0.010 0.020 0.000 0.000 0.000 0.010 rc= 0.0060
16. PART X= 22.8730
AVE ( xp ) 22.876 22.899 22.910 22.856 22.876 22.883 22.874 22.837 22.876 22.844 Rp= 0.0733
17 (ra + rb + rc) / (# OF APPRAISERS) = R= 0.00300
18 (Max x - Min x) = xDIFF= 0.00267
19 R x D4* = UCLR= 0.00774
20 R x D3* = LCLR= 0.00000
* D4 =3.27 for 2 trials and 2.58 for 3 trials; D 3 = 0 for up to 7 trials. UCLR represents the limit of individual R's. Circle those that are
beyond this limit. Identify the cause and correct. Repeat these readings using the same appraiser and unit as originally used or dis-
card values and re-average and recompute R and the limiting value from the remaining observations.
Notes:
SM-FM-QA-14
Page 2 of 3
GAGE REPEATABILITY AND REPRODUCIBILITY DATA SHEET
Analysed By Gage Name Appraiser A
Hemant HG Monender
Approved By Gage Number Appraiser B
Rakesh Panchal HG-FQ-01 Nitin
Part No. Gage Type Appraiser C
0 DEGITAL Hement
Part Name Trials Parts Appraisers Date Performed
0 22.8±0.5 3 10 3 0
Measurement Unit Analysis % Total Variation (TV)
Repeatability - Equipment Variation (EV)
EV = R x K1 Trials K1 % EV = 100 (EV/TV)
= 0.003 x 0.5908 2 0.8862 = 100(0.002/0.023)
= 0.00177 3 0.5908 = 7.65
Reproducibility - Appraiser Variation (AV)
AV = {(xDIFF x K2)2 - (EV2/nr)}1/2 % AV = 100 (AV/TV)
= {(0.003 x 0.5231)^2 - (0.002 ^2/(10 x 3))}^1/2 = 100(0.001/0.023)
= 0.00136 Appraisers 2 3 = 5.85
K2 0.7071 0.5231 n = number of parts
Repeatability & Reproducibility (R & R) r = number of trials
R&R = {(EV + AV )}
2 2 1/2
Parts K3
= {(0.002^2 + 0.001^2)}^1/2 2 0.7071 % R&R = 100 (R&R/TV)
= 0.00223 3 0.5231 = 100(0.002/0.023)
Part Variation (PV) 4 0.4467 = 9.63
PV = RP x K3 5 0.4030 Gage system O.K
= 0.073 x 0.3146 6 0.3742
= 0.02307 7 0.3534 % PV = 100 (PV/TV)
Total Variation (TV) 8 0.3375 = 100(0.023/0.023)
TV = {(R&R2 + PV2)}1/2 9 0.3249 = 99.54
= {(0.002^2 + 0.023^2)}^1/2 10 0.3146 ndc = 1.41 (PV/GRR)
= 0.02318 = 14.57318273
Acceptance Criteria
(1) ndc more than 5
(2) Gage R & R < 10 % ideally acceptable
10 to 30% may be acceptable based upon importance of application,
cost on measurement device, cost of repair
FINAL DECISION:
SM-FM-QA-14
Page 3 of 3
REPEATABILITY RANGE CONTROL CHART
Analysed By Gage Name Appraiser A
Hemant HG Monender
Approved By Gage Number Appraiser B
Rakesh Panchal HG-FQ-01 Nitin
Part No. Gage Type Appraiser C
0 DEGITAL Hement
Part Name Trials Parts Appraisers Date Performed
0 22.8±0.5 3 10 3 30-Dec-99
x= 22.8730 AVERAGES (X BAR CHART)
UCL = 22.8761 LCL = 22.8699
23.0
22.8
22.6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
UCL LINE X LCL LINE
r= 0.0030 UCL = 0.0077 LCL = 0.00 RANGES (R CHART)
0.025
0.020
0.015
0.010
0.005
0.000
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
UCL LINE AVERAGE RANGE
PART BY APPRAISER PLOT
22.92
22.90
22.88
22.86
22.84
22.82
22.80
22.78
1 2 3 4 5 6 7 8 9 10
APP A APP B APP C
SM-FM-QA-14
