Gage R&R Study - Data Entry More on GR&R:

Part #/Name: Sample Part Gage #/Name: Prototype Gage AFeature Name: Special Dimension Completed by: John SmithFeature Tolerance: 72.000 Study Date: 7/5/2012

p-Value for Interaction: 0.25 (default is 0.25)

Notes: (1) all calculations in this workbook have been validated using AIAG standards with ten parts, three appraisers, and three trials. (2) all measurement data (ten parts, three appraisers, three measurements each) must be entered to obtain valid results.

Appraiser Trial #

Part

Average1 2 3 4 5 6 7 8 9 10

Appraiser A1 56 44 -11 0 0 30 18 25 22 18 20.22 56 45 -9 0 0 36 15 26 22 15 20.63 54 49 -9 0 0 36 16 24 24 16 21

Average 55.333 46.000 -9.667 0.000 0.000 34.000 16.333 25.000 22.667 16.333 20.600

Range 2.000 5.000 2.000 0.000 0.000 6.000 3.000 2.000 2.000 3.000 2.5

Appraiser B1 51 47 -10 -4 0 36 10 28 36 20 21.42 53 48 -19 -3 -3 38 15 17 24 13 18.33 58 46 -12 -4 0 30 14 20 25 15 19.2

Average 54.000 47.000 -13.667 -3.667 -1.000 34.667 13.000 21.667 28.333 16.000 19.633

Range 7.000 2.000 9.000 1.000 3.000 8.000 5.000 11.000 12.000 7.000 6.5

Appraiser C1 50 43 -10 -2 0 32 16 21 20 15 18.52 49 43 -8 -4 0 32 12 15 19 14 17.23 50 45 -12 -4 0 35 10 17 21 16 17.8

Average 49.667 43.667 -10.000 -3.333 0.000 33.000 12.667 17.667 20.000 15.000 17.833

Range 1.000 2.000 4.000 2.000 0.000 3.000 6.000 6.000 2.000 2.000 2.8

Part Average 53.000 45.556 -11.111 -2.333 -0.333 33.889 14.000 21.444 23.667 15.778 19.356

©2012 DMAIC Tools

www.dmaictools.com/measure/grr

Gage R&R Results - ANOVA MethodPart #/ Name: Sample Part Gage Name: Prototype Gage AFeature Name: Special Dimension Completed by: John SmithFeature Tolerance: 72 Study Date: 5-Jul-12

Summary Results

% ToleranceTotal Gage R&R 15% 27% Repeatability 13% 22% Reproducibility 9% 15%Part-to-Part 99% 173%

Two-Way ANOVA Table With InteractionDF SS MS F P Value

Part 9 34922.8444 3880.31605 304.353 0.000

Appraiser 2 118.2889 59.14444 4.639 0.024

Appraiser-Part Interaction 18 229.4889 12.74938 1.796 0.047 Interaction will be included if p value is less than 0.25(reference "p-Value for Interaction" input on Data Entry page)

Equipment 60 426.0000 7.10000

Total 89 35696.6222

Two-Way ANOVA Table Without InteractionDF SS MS F P Value

Part 9 34922.8444 3880.31605 461.739 0.000

Appraiser 2 118.2889 59.14444 7.038 *

Equipment 78 655.4889 8.40370 - -

Total 89 35696.622

Gage R&R

SourceTotal Gage R&R 10.52963 2% Repeatability 7.10000 2% Reproducibility 3.42963 1% Appraiser 1.54650 0% Appraiser-Part 1.88313 0%Part-to-Part 429.72963 98%Total Varation 440.25926 100%

Number of Distinct Categories 9

Source % ToleranceTotal Gage R&R 3.24494 19.46963 15% 27% Repeatability 2.66458 15.98750 13% 22% Reproducibility 1.85193 11.11156 9% 15% Appraiser 1.24358 7.46151 6% 10% Appraiser-Part 1.37227 8.23363 7% 11%Part-to-Part 20.7299 124.37953 99% 173%Total Varation 20.9824 125.89414 100% 175%

©2012 DMAIC Tools

www.dmaictools.com/measure/grr

% Study Variation

Variance Component

% Contribution

Standard Deviation

Study Variation (6s)

% Study Variation

2% 1%

98%

Pie Chart - Variance Components

Repeatability

Reproducibility

Part-to-Part

Total Gage R&R

Repeatability Reproducibil-ity

Part-to-Part0%

20%

40%

60%

80%

100%

% Study Variation

% Tolerance

Gage R&R Results - ANOVA MethodCalculations per AIAG MSA Manual, Third and Fourth Editions

Study InformationPart #/ Name: Sample Part Gage Name: Prototype Gage AFeature Name: Special Dimension Completed by: John SmithFeature Tolerance: 0.02 Study Date: 5-Jul-12

©2012 DMAIC Tools

www.dmaictools.com/measure/grr

1 2 3 4 5 6 7 8 9 10

-20.000-10.000

0.00010.00020.00030.00040.00050.00060.000

Interaction Plot

Appraiser A Appraiser B Appraiser C

Part

Ave

rage

Appraiser A Appraiser B Appraiser C

-20.000-10.000

0.00010.00020.00030.00040.00050.00060.000

Measurements by Appraiser

Appraiser

Valu

es

1 2 3 4 5 6 7 8 9 10-30-20-10

010203040506070

Measurements by Part

Part

Valu

es

1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 100.00

2.00

4.00

6.00

8.00

10.00

12.00

14.00Range Control Chart

Appraiser A Appraiser B Appraiser C

Sam

ple

Rang

e