Acceptance Sampling Calculator
This calculator searches for a binomial single-sampling plan that meets entered producer and consumer risk targets at AQL and LTPD. It does not reproduce proprietary ISO 2859-1 or ANSI/ASQ Z1.4 tables.
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- 1 Enter data
- 2 Review results
- 3 Take action
Ready for your data
Complete the inputs or load the worked example. Results will include the primary decision, interpretation and supporting metrics.
Worked example
For a lot of 5,000, AQL 1%, LTPD 5%, producer risk 5% and consumer risk 10%, the tool finds the smallest binomial plan within its search range that meets both probability conditions.
Load the example in the calculatorFormula and methodology
- The tool searches sample sizes and acceptance numbers using the binomial probability of acceptance.
- At AQL, probability of acceptance must be at least 1 − producer risk.
- At LTPD, probability of acceptance must not exceed consumer risk.
P(accept) = Σ from d=0 to c of C(n,d) pᵈ(1−p)ⁿ⁻ᵈAccept when defects ≤ c; reject when defects ≥ c + 1. How to interpret the result
- AQL is a design point for a sampling plan, not a promise that accepted lots contain no more than that percentage defective.
- LTPD and consumer risk describe protection against poor lots at a second quality point.
- Switching rules, tightened/reduced inspection and finite-lot corrections are outside this simplified design.
Common errors and limitations
- Calling AQL an allowed defect percentage in every accepted lot.
- Using an online Ac/Re value while claiming ISO 2859-1 compliance without the controlled standard.
- Ignoring lot formation, random sampling and inspection switching rules.
Turn the calculation into an engineering decision
Share the drawing, process conditions and result context. AccuTouch can review the measurement, fixture, SPC or automation starting point.
Frequently asked questions
Is this an ISO 2859-1 table lookup?
No. It designs a binomial plan from two quality points and two risks. Use the controlled standard for ISO 2859-1 inspection.
What are producer and consumer risks?
Producer risk is rejection probability at the AQL design point. Consumer risk is acceptance probability at the poorer LTPD point.
Why can sample size be large?
Tighter separation between AQL and LTPD or lower risk targets require more evidence.
Technical references
Use the current controlled standard or your organisation’s approved method where it differs from this screening tool.
Method content reviewed 13 August 2026. Independent technical approval is still required before production publication or use in a controlled quality procedure.