Generate mathematically defensible inspection plans with complete OC, AOQ, AOQL, and ATI curves.
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What is an Operating Characteristic (OC) Curve in Acceptance Sampling?
An Operating Characteristic (OC) curve plots the probability of lot acceptance ($P_a$) against incoming defect quality ($p$). It balances Producer's Risk ($\alpha$, Type I error: rejecting good lots at AQL) and Consumer's Risk ($\beta$, Type II error: accepting bad lots at LTPD).
Acceptance sampling is the standard quality audit procedure when 100% inspection is economically impractical or destructive. A single-sampling plan is fully defined by lot size $N$, sample size $n$, and acceptance number $c$.
Determine sample size code letters and accept/reject criteria based on verified public military standards.
Statistical Process Control (SPC)Track defect rates across varying production lot sizes while accounting for overdispersion.
Process Capability & Measurement (MSA)Determine whether a manufacturing process complies with customer engineering tolerances and specifications.