Gage R&R Study

Check whether your measurement system can tell good parts from bad: repeatability (EV), reproducibility (AV), %GRR against tolerance or total variation, and the number of distinct categories, by the AIAG Average & Range or ANOVA method.

Study Setup
Analysis Method
Fast, descriptive — EV/AV/GRR/PV point estimates with the AIAG d2* constants (Appendix C).
Appraisers
Trials
Parts
Appraisers
Study details (optional)
Shown in the PDF and Excel report when filled in.
Tolerance (optional)
With LSL and USL the verdict uses %GRR of tolerance (6σ study variation); without them it uses %GRR of total variation.
Data · 3 appraisers × 10 parts × 3 trials · 90 of 90 entered
Appraiser A
P1P2P3P4P5P6P7P8P9P10
Trial 1
Trial 2
Trial 3
Appraiser B
P1P2P3P4P5P6P7P8P9P10
Trial 1
Trial 2
Trial 3
Appraiser C
P1P2P3P4P5P6P7P8P9P10
Trial 1
Trial 2
Trial 3
Rows are trials, columns are parts. Paste a block from Excel into any cell to fill from there.
Calculating…

About the Gage R&R study

How it is calculated · worked example · references

What it tells you

A Gage R&R (repeatability and reproducibility) study tells you how much of the variation you see comes from the measurement system rather than from the parts. Several appraisers measure the same parts several times. Repeatability (EV) is the variation when the same appraiser measures the same part again; reproducibility (AV) is the difference between appraisers.

Run it before you trust a control chart or a capability study: a noisy gauge can hide real changes or create false ones. A common layout is 3 appraisers, 10 parts covering the process range, and 2 or 3 trials.

Method

Both methods of the AIAG MSA manual, 4th edition, are available: Average & Range and ANOVA. The study gives %GRR of the total variation and, when you enter the tolerance, of the tolerance, the number of distinct categories (ndc), and a verdict against the manual’s acceptance guidelines. The calculation reproduces the worked example printed in the manual.

Worked example

The worked example printed in the AIAG MSA manual: 3 appraisers, 10 parts, 3 trials each, no tolerance.

ResultAverage & RangeANOVA
EV (repeatability)0.201880.19993
AV (reproducibility)0.229630.22684
GRR0.305750.30237
PV (part variation)1.104561.04233
%GRR of total variation26.7%27.9%
ndc54

Both methods put the gauge in the “may be acceptable” band, depending on the application. Reproducibility is slightly larger than repeatability, so appraiser training or a clearer measuring method is the first place to look.

References

  • AIAG, Measurement Systems Analysis (MSA) Reference Manual, 4th edition.