Stat Tools

Gauge R&R — AIAG Average & Range Method

Measure PhaseBB

AIAG Average & Range method for continuous measurement systems. Decomposes total variation into Repeatability (EV), Reproducibility (AV), and Part Variation (PV). Verdict based on %Study Variation and NDC.

Study Data

Rows order: Appraiser 1 Trial 1, Appraiser 1 Trial 2, Appraiser 2 Trial 1, Appraiser 2 Trial 2, …

Measurement System is Unacceptable — GRR = 96.2% of Study Variation

NDC = 0 (need ≥5 for acceptable discrimination) · Repeatability = 96.2% · Reproducibility = 0.0%

GRR % Study

96.2%

Unacceptable

NDC

0

Number of Distinct Categories

Repeatability (EV)

96.2%

σ = 0.01714

Reproducibility (AV)

0.0%

σ = 0.00000

Variance Components (AIAG Table)
Source5.15σ% Study
Repeatability (EV)0.0882796.2%
Reproducibility (AV)0.000000.0%
Gauge R&R (GRR)0.0882796.2%
Part Variation (PV)0.0251027.3%
Total Variation (TV)0.09177100.0%
% Study Variation by Source
0%25%50%75%100%Repeatability(EV)Reproducibility(AV)Gauge R&R(GRR)Part Variation(PV)
≤10% Acceptable10–30% Marginal>30% Unacceptable
Appraiser Average Ranges

Alice

R̄ = 0.02400

Bob

R̄ = 0.01500

Carol

R̄ = 0.01900

Grand Mean Range (R̄̄)

0.01933

X̄ Diff (Reproducibility)

0.00150

AIAG Verdict Criteria

GRR ≤ 10% — Acceptable

Measurement system is capable

GRR 10–30% — Marginal

May be acceptable based on application

GRR > 30% — Unacceptable

Measurement system must be improved

NDC ≥ 5 indicates the gauge can distinguish between parts adequately. NDC < 5 means the gauge cannot discriminate between parts.

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