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Measurement Systems Analysis: Repeatability & Reproducibility

The document analyzes measurement systems using repeatability and reproducibility metrics. It contains tables with measurement data from multiple appraisers and trials. Charts are also included to visualize the range and average results.

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Ravindra Erabatti
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85 views4 pages

Measurement Systems Analysis: Repeatability & Reproducibility

The document analyzes measurement systems using repeatability and reproducibility metrics. It contains tables with measurement data from multiple appraisers and trials. Charts are also included to visualize the range and average results.

Uploaded by

Ravindra Erabatti
Copyright
© © All Rights Reserved
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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MEASUREMENT SYSTEMS ANALYSIS

REPEATABILITY & REPRODUCIBILITY DATE

GAGE NAME CHARACTERISTIC

GAGE TYPE SPECIFICATION

GAGE NUMBER TEST NUMBER

APPRAISER A NAME APPRAISER B NAME

SAMPLE SIZE 6 APPRAISERS 2 APPRAISER C NAME

TRIALS 2

Appraiser/
Trial # 1 2 3 4 5 6 AVG
A
1 0.000
2 0.000

AVG'S 0.000 0.000 0.000 0.000 0.000 0.000 Xa 0.000


Range 0.000 0.000 0.000 0.000 0.000 0.000 Ra 0.000
B
1 0.000
2 0.000

AVG'S 0.000 0.000 0.000 0.000 0.000 0.000 Xb 0.000


Range 0.000 0.000 0.000 0.000 0.000 0.000 Rb 0.000

AVG'S Xc 0.000
Range Rc 0.000
Part X 0.000
Average 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Rp 0.000

RANGE VARIATION
Ra 0.000 # Trials D4 Rdoublebar x (D4) = UCLR
Rb 0.000 2 3.267 0.0000 3.267 = 0.000
Rc 3 2.575 Note: LCL is zero with < 8 trials
SUM 0.000
Rdoublebar 0.0000 # Trials A2 Xbar + ( Rbar x A2 ) = UCLX
2 1.880 0.0000 0.0000 1.88 = 0.000
3 1.023 Xbar - ( Rbar x A2 ) = LCLX
0.0000 0.0000 1.88 = 0.000

Max. X 0.000 Tolerence = 0.5 # Trials - n = 6


Min. X 0.000
X Diff 0.000 # Appr. - r = 2

Printed: 11/21/2019
448243270.xls Page 1 of 4 Copyright 2002, MoreSteam.com
All Rights Reserved
GAGE TYPE DATE

TEST NUMBER APPRAISER A NAME

APPRAISER B NAME

APPRAISER C NAME

MEASUREMENT UNIT ANALYSIS % TOTAL VARIATION (TV)


REPEATABILITY - EQUIPMENT VARIATION (EV) % EV = 100 (EV/TV)
% EV =
EV = R1 X K1 K1 (2 trials)= 4.56
EV = 0 Percent of Tolerance: 100(EV/Tol) = 0.0%

REPRODUCIBILITY - APPRAISER VARIATION (AV)


% AV = 100(AV/TV)
AV = SQ. ROOT ((X DIFF X K2)SQUARED - (EV SQUARED/NR)) % AV =
AV = 0 K2 (2 appraisers)= 3.65
Percent of Tolerance: 100(AV/Tol) = 0.0%

REPEATABILITY & REPRODUCIBILITY (R&R) % R&R = 100(R&R/TV)


% R&R =
R&R = SQ. ROOT (EV SQUARED + AV SQUARED)
R&R = 0 Percent of Tolerance: 100(R&R/Tol) = 0.0%

PART VARIATION (PV) % PV = 100(PV/TV)


% PV =
PV = Rp x K3 PARTS K3
PV = 0 6 1.93 Percent of Tolerance: 100(PV/Tol) = 0.0%

TOTAL VARIATION (TV)

TV = SQ. ROOT(R&R SQUARED + PV SQUARED)


TV = 0

Printed: 11/21/2019
448243270.xls Page 2 of 4 Copyright 2002, MoreSteam.com
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Range Chart

12

10

8
Range

0
Trial Number
A B UCL Mean

Printed: 11/21/2019
448243270.xls Page 3 of 4 Copyright 2002, MoreSteam.com
All Rights Reserved
Averages Chart

12

10

8
Average

0
Trial Number
A B
UCL Mean LCL

Printed: 11/21/2019
448243270.xls Page 4 of 4 Copyright 2002, MoreSteam.com
All Rights Reserved

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