Reference

This is the implementation guide. There is one page per method family, and each states three things explicitly:

1. The formula — what mfgQC actually computes.
2. The assumptions — what has to hold for the number to mean what it says, and which of these mfgQC checks for you.
3. The source standard — the published reference the method is pinned to.

That structure is deliberate: it makes the documentation itself auditable, which is the same property mfgQC gives your analyses.

Pages

• Capability — Cp/Cpk, Pp/Ppk, Cpm, and the σ estimator used.
• Non-normal capability — Box-Cox, Clements percentile, Johnson-system; when each applies.
• Control charts — the constants table and the variables/attributes chart families.
• Run rules — the Western Electric and Nelson rule sets.
• Gage R&R — the ANOVA decomposition, the AIAG pooling rule, ndc.
• Provenance model — the data model, immutability guarantees, the digest/hash-chain spec, and exactly what verify_provenance() proves.
• API reference — auto-generated from the in-code docstrings.
• Bibliography — full citations for every source above.

Notation

Throughout, \(n\) is the subgroup size, \(m\) the number of subgroups, \(\sigma\) a process standard deviation (with the estimator named explicitly per page), and \(\bar{R}\), \(\bar{S}\) the mean subgroup range and standard deviation.