Specialty › Quality control

Acceptance sampling plan (OC curve)

Acceptance sampling finds the smallest single sampling plan (n, c) satisfying both the producer's and the consumer's risk points, and draws its operating-characteristic curve.

What is Acceptance sampling plan (OC curve)?

A single sampling plan inspects n items from a lot and accepts if at most c are defective. The OC curve shows P(accept) as a function of the true lot defect rate: the plan is chosen so lots at AQL are accepted with probability ≥ 1 − α and lots at LTPD with probability ≤ β.

Runs on the four risk parameters alone — no data columns needed (binomial model, effectively infinite lots).

When should I use Acceptance sampling plan (OC curve)?

  • Designing incoming/outgoing lot inspection.
  • Communicating inspection stringency to suppliers via the OC curve.

What data does it need?

AQL, producer's risk α, LTPD, consumer's risk β.

What does it report?

n, acceptance number c, rejection number r, attained P(accept) at both risk points, OC curve.

What does it assume?

  • Random sampling from the lot.
  • Binomial approximation (lot much larger than n; otherwise hypergeometric plans differ slightly).

How do I interpret the result?

The attained risks always meet or beat the targets (integer n, c overshoot slightly). Tighter risk points inflate n quickly — the OC curve shows what you actually bought.

See also

References

  • Schilling & Neubauer (2017). Acceptance Sampling in Quality Control, 3rd ed.