Module msa 

Measurement System Analysis (MSA).

Implements Gage R&R studies using both the X̄-R (Average & Range) method and the ANOVA method, following AIAG MSA 4th Edition.

Overview

A Gage R&R study decomposes total measurement variation into:

• Repeatability (EV): Equipment variation — same operator, same part, multiple trials
• Reproducibility (AV): Appraiser variation — different operators, same part
• Part Variation (PV): True part-to-part variation

References

• AIAG (2010). Measurement Systems Analysis, 4th ed.
• Montgomery, D.C. (2019). Introduction to Statistical Quality Control, 8th ed., §5.

Structs

AnovaRow

A single row in the ANOVA table.

AnovaTable

ANOVA table for a two-factor crossed design.

GageRRAnovaResult

ANOVA-based Gage R&R result with full ANOVA table and variance components.

GageRRInput

Input data for a Gage R&R study.

GageRRResult

Results from a Gage R&R study (X̄-R or ANOVA method).

VarianceComponents

Variance components from ANOVA expected mean squares.

Enums

GrrStatus

Acceptability status based on %GRR (AIAG guidelines).

Functions

gage_rr_anova

Gage R&R using the two-factor crossed ANOVA method (AIAG MSA 4th Edition).

gage_rr_xbar_r

Gage R&R using the X̄-R (Average & Range) method (AIAG MSA 4th Edition).