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Recitation 8

- OC CURVES
- AOQ

Review of parameters

- N:Lot size
- n1: Sample size on the first sample
- c1: Acceptance # on the first sample
- r1: Non-acceptance # on the first sample
- n2: Sample size on the second sample
- c2:Acceptance number for both samples
- r2: Non-acceptance number for both samples

- 100 Pa: Percent of Lots accepted.
- 100Po: Percent non-conforming
- Procedure: One value 100Po assumed and the other calculated.

Difference between two types of curves:TYPE A AND TYPE B

- TYPE B Curves: Lots come from a continouos stream of product, therefore the calculations are based on infinite lot size. (Binomial for evaluating, but approx. To poisson)
- TYPE A: Probability of accepting an isolated lot. (Hypergeometric used to calculate the acceptance probabilities)

OC Curve - Operating Characteristic CurveThe OC curve shows how the probability of acceptance (y-axis) depends on the quality level (bottom axis).

Producer’s Risk

- Producer’s risk :α= Probability of non-acceptance of a conforming lot.
- Refelected on the OC curve as Pa=1- α
- AQL(Acceptable Quality Level): Max. Percent of nonconforming that can be considered satisfactory for the purposes of accepting sampling.

Consumer’s Risk

- β:
- Probability of accepting a non-conforming lot. Usually given as Probability of acceptance.
- Usually given as 0.10.

- Average Outgoing Quality: 100*po(Pa)
- Quality that leaves the inspection operation.
- Without rectification: AOQ same as incoming quality
- In rectification: Average outgoing quality is always better than the incoming quality.

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