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Tolerances and decisions

Gauge R&R and measurement system analysis (MSA)

2 min readUpdated

Key answer

Measurement system analysis (MSA) asks whether a measurement process is good enough for the decision made with it. A gauge R&R study splits measurement variation into repeatability (one appraiser measuring the same part again) and reproducibility (differences between appraisers). In the AIAG MSA manual, a %GRR under 10 % is generally acceptable, 10–30 % may be acceptable depending on the application, and over 30 % is not; the number of distinct categories (ndc) should be at least 5.

On this page
  1. What MSA looks at
  2. Running a caliper GR&R study
  3. Reading the results
  4. Calipers in GR&R studies
  5. References
  6. Watch it done
  7. Practise in the lab
  8. Questions
Lab clipDigital caliper on a stepped shaft (readout view)Open in the lab →

What MSA looks at

A measurement system is the instrument, the method, the people, the parts and the environment together. MSA studies its bias (average difference from a reference value), linearity (how bias changes over the range), stability (drift over time) and its precision: repeatability and reproducibility. Calibration checks the instrument against a standard; MSA checks the whole process on real parts.

In the automotive industry IATF 16949 requires MSA studies for each type of measurement system named in the control plan (clause 7.1.5.1.1); the AIAG MSA reference manual describes the methods.

Running a caliper GR&R study

  1. Pick about 10 parts that cover the real spread of the process, number them where the appraisers cannot see it.
  2. Choose 2–3 appraisers who normally do the measurement.
  3. Each appraiser measures every part 2–3 times, in random order, without seeing earlier results.
  4. Use the same caliper, the same feature and the same position on the part.
  5. Analyse with the ANOVA method (preferred) or the average-and-range method, usually in a spreadsheet or statistics software.

With 10 parts, 3 appraisers and 3 trials you collect 90 readings. Customers or internal procedures may set a different plan.

Reading the results

%GRR compares the measurement variation with either the total observed variation or the tolerance. Against the tolerance: %GRR = 6 σGRR / tolerance × 100 %. Example: tolerance 0.10 mm, σGRR = 0.004 mm → 6 × 0.004 = 0.024 mm → 24 %: marginal, acceptable only if the application allows it.

ndc (number of distinct categories) = 1.41 × PV / GRR (both as standard deviations), rounded down: how many groups of parts the system can tell apart. Below 5, the system cannot follow the process well enough for control charts.

If repeatability dominates, look at the instrument and the technique (force, squareness, zero, resolution). If reproducibility dominates, the appraisers do something differently: align the method and train.

Calipers in GR&R studies

Resolution should be at most a tenth of the smaller of the process spread and the tolerance. A 0.01 mm caliper on a tolerance of a few hundredths usually fails; a micrometer, a fixture gauge or a go / no-go gauge is the better choice (see choosing instruments). Most caliper variation comes from technique: part not deep in the jaws, tilt, uneven force and unchecked zero.

KELIBRON does not run GR&R studies. It trains the technique behind repeatability — checking zero, holding the part square and deep in the jaws, light even force — and shows the size of each mistake in the wrong-use demonstrations.

References

  1. AIAG, Measurement Systems Analysis (MSA) Reference Manual, 4th edition, 2010 (cited by number; no public page) · AIAG
  2. IATF 16949:2016 — Quality management system requirements for automotive production and relevant service parts organizations (cited by number; no public page) · IATF
  3. JCGM 200:2012 — International vocabulary of metrology — Basic and general concepts and associated terms (VIM, 3rd edition) · JCGM / BIPM

Watch it done

ReenactmentDigital caliper: outside diameter of Stepped shaft Ø20/Ø32 · 0:28Watch in the lab → Follow step by step → Download video (12.3 MB)

Played back in the lab from domain commands; the reading and verdict come from the measurement model.

Practise in the lab

Questions

What is the difference between calibration and gauge R&R?

Calibration compares the instrument with a reference standard. Gauge R&R measures how much the whole measurement process — instrument, method and people — varies on real parts.

How many parts and appraisers does a GR&R need?

A common plan is 10 parts, 3 appraisers and 2–3 trials each. Follow your customer’s or your own procedure where it says otherwise.

What %GRR is acceptable?

In the AIAG MSA manual: under 10 % generally acceptable, 10–30 % may be acceptable depending on the application and cost, over 30 % unacceptable.

Try it yourself

Open the same setup in the 3D lab and take the reading yourself.

Open in the lab →

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