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R&R Format

This document contains data from a gauge repeatability and reproducibility study. It includes measurement results from three appraisers taking multiple measurements of a part using the same gauge. The data is analyzed to determine the percentage of variation from different sources: equipment variation, appraiser variation, repeatability and reproducibility variation, and part variation. It is determined that equipment variation accounts for 17.61% of the total variation, appraiser variation accounts for 20.04% of the total variation, repeatability and reproducibility variation accounts for 26.68% of the total variation, and part variation accounts for 96.38% of the total variation.

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1K views2 pages

R&R Format

This document contains data from a gauge repeatability and reproducibility study. It includes measurement results from three appraisers taking multiple measurements of a part using the same gauge. The data is analyzed to determine the percentage of variation from different sources: equipment variation, appraiser variation, repeatability and reproducibility variation, and part variation. It is determined that equipment variation accounts for 17.61% of the total variation, appraiser variation accounts for 20.04% of the total variation, repeatability and reproducibility variation accounts for 26.68% of the total variation, and part variation accounts for 96.38% of the total variation.

Uploaded by

M.saravanan
Copyright
© Attribution Non-Commercial (BY-NC)
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as XLS, PDF, TXT or read online on Scribd
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Gauge Repeatability and Reproducibility Data Collection Sheet

Appraiser / Part
Average
Trial # 1 2 3 4 5 6 7 8 9 10

A 1 0.29 -0.56 1.34 0.47 -0.80 0.02 0.59 -0.31 2.26 -1.36

2 0.41 -0.68 1.17 0.50 -0.92 -0.11 0.75 -0.20 1.99 -1.25

3 0.64 -0.58 1.27 0.64 -0.84 -0.21 0.66 -0.17 2.01 -1.31

Average 0.447 -0.607 1.260 0.537 -0.853 -0.100 0.667 -0.227 2.087 -1.307 Xa = 0.1903

Range 0.350 0.120 0.170 0.170 0.120 0.230 0.160 0.140 0.270 0.110 Ra = 0.1840

B 1 0.08 -0.47 1.19 0.01 -0.56 -0.20 0.47 -0.63 1.80 -1.68

2 0.25 -1.22 0.94 1.03 -1.20 0.22 0.55 0.08 2.12 -1.62

3 0.07 -0.68 1.34 0.20 -1.28 0.06 0.83 -0.34 2.19 -1.50

Average 0.133 -0.790 1.157 0.413 -1.013 0.027 0.617 -0.297 2.037 -1.600 Xb = 0.0683

Range 0.180 0.750 0.400 1.020 0.720 0.420 0.360 0.710 0.390 0.180 Rb = 0.5130

C 1 0.04 -1.38 0.88 0.14 -1.46 -0.29 0.02 -0.46 1.77 -1.49

2 -0.11 -1.13 1.09 0.20 -1.07 -0.67 0.01 -0.56 1.45 -1.77

3 -0.15 -0.96 0.67 0.11 -1.45 -0.49 0.21 -0.49 1.87 -2.16

Average -0.073 -1.157 0.880 0.150 -1.327 -0.483 0.080 -0.503 1.697 -1.807 Xc = -0.2543

Range 0.190 0.420 0.420 0.090 0.390 0.380 0.200 0.100 0.420 0.670 Rc = 0.3280

X = 0.0014
Part Average 0.169 -0.851 1.099 0.367 -1.064 -0.186 0.454 -0.342 1.940 -1.571

RP = 3.511

({Ra = } + {Rb = } + { Rc = }) / { # OF APPRAISER = }= R = 0.3417

X DIFF = { Max X - Min X } X DIFF 0.4447

UCL R = R x D4 0.8815 2.58


D4 =
* D4 = 3.27 for 2 trials and 2.58 for 3 trials . UCLR represents the limit of individual R's. Circle those that are
beyond this limit. Identify cause and correct. Repeat these readings using the same appraiser and unit as originally used or
discard values and re-average and recompute R and the limiting value from the remaining observations.
Gauge Repeatability and Reproducibility Report
Part NO & Name : Gauge Name : Date :

Characteristics : Gauge No : Peroformed by:

Specifications : Gauge Type :

From the Data Sheet R= 0.3417 X DIFF = 0.4447 Rp = 3.511

Measurement Unit Analysis % Total Variation (TV)

Repeatability - Equipement Variation (EV)

EV = R x K1 % EV = 100 [EV / TV ]

= 0.3417 x 0.5908 Trials K1 =100 0.20186 1.14613

= 0.20186 2 0.8862 = 17.61%

3 0.5908

Reproducibility - Appraiser Variation (AV)

% AV = 100 ( AV / TV )
AV = ( X DIFF
x K2 )2 - (EV2 / (nr))
2

0.4447 0.5231 0.2019 10 3 = 100 0.2297 1.1461

= 0.22967

Appraisers 2 3 = 20.04%

n = parts r = trials K2 0.7071 0.5231

Repeatability & Reproducibility (GRR)

GRR = EV2 + AV2 % GRR = 100 (GRR / TV )

Parts K3 = 100 0.3058 1.1461

= 0.2019 2 + 0.2297 2 2 0.7071 = 26.68%

= 0.30577 3 0.5231

Part Variation (PV) 4 0.4467 % PV = 100 ( PV / TV )

PV = Rp X K 3 5 0.4030 =100 1.1046 1.1461

= 1.10460 6 0.3742 = 96.38%

Total Variation (TV) 10 0.3146 7 0.3534

TV = GRR2 + PV2 8 0.3375 ndc = 1.41 (PV / GRR)

= 0.3058 2
+ 1.1046 2 9 0.3249 = 1.41 1.1046 0.3058

= 1.14613 10 0.3146 = 5.094 ~ 5


For information on the theory and constants used in the form see MSA Reference Manual. Third Edition

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