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MSA in DMAIC: Gage R&R and the Measure tollgate

Before you can trust your baseline data, you must verify that the measurement system itself is capable. This is one of the first tasks in the Measure phase. A flawed gauge can make a good process look bad, mask a real improvement, or send you down the wrong root-cause path.

For detailed Gage R&R math, see the CQE page on Gage R&R →. This page focuses on the DMAIC framing and exam-tested decision rules.

MSA components (CSSBB exam scope)

ComponentWhat it measuresTypical method
Repeatability (EV)Variation when one operator measures the same part repeatedly with the same gauge (equipment variation)Crossed Gage R&R study
Reproducibility (AV)Variation between operators’ averages when measuring the same parts with the same gauge (appraiser variation)Crossed Gage R&R study
Gauge R&R (GRR)Total measurement system variation: GRR = √(EV² + AV²) (variances add, not standard deviations)ANOVA or average/range method
Part-to-part (PV)Actual process variation captured by the studySame study
%Study VarGRR as a percentage of total study variation%GRR = (GRR / TV) × 100, where TV = √(GRR² + PV²)
BiasSystematic offset of measurements from true valueBias study: repeated measurements of a reference part with a known value
LinearityBias variation across the measurement rangeMultiple reference standards
StabilityGauge drift over timeControl chart of a master or reference part measured over time

Acceptance criteria (%GRR, AIAG MSA 4th ed.)

%GRR resultDecision
< 10%Measurement system is acceptable
10–30%May be acceptable depending on the importance of the application, cost of the gauge, cost of repair and similar factors; improve if possible
> 30%Measurement system is unacceptable; must improve before collecting baseline data

Number of Distinct Categories (NDC)

NDC = 1.41 × (PV / GRR), truncated to a whole number. The NDC tells you how many distinct groups the gauge can reliably distinguish.

What happens if MSA fails?

If the measurement system fails, you cannot proceed to the Measure tollgate. You must:

  1. Identify the dominant source of variation (repeatability vs. reproducibility).
  2. Fix it: recalibrate the gauge, train operators, standardize measurement procedure, or replace the gauge.
  3. Re-run the MSA study before collecting baseline data.

Attribute agreement analysis

For go/no-go and visual inspections, use attribute agreement analysis with kappa (Cohen's kappa for two raters or rater vs. standard, Fleiss' kappa for three or more). See Attribute agreement & kappa → for the math. The DMAIC framing: kappa above 0.75 indicates good to excellent agreement and below 0.40 indicates poor agreement (AIAG MSA 4th ed.); above 0.75 is generally acceptable for classifying parts into pass/fail categories used in a baseline defect rate.

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More: DMAIC overview · Project charter · VOC & CTQ · SIPOC · MSA in DMAIC · Process capability · Data collection planning · Graphical analysis · Root cause analysis · Multi-vari analysis · Hypothesis testing · Regression · DOE · FMEA · Define tollgate · Change management · Financial benefits · Team dynamics · Improve tollgate · Piloting & scaling · Poka-yoke (BB) · Solution selection · Control plan · SPC in DMAIC · Sustaining gains

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