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ISO 13485 Sample Size: Confidence and Reliability Calculator

ISO 13485 does not give you a fixed sample size. It expects you to justify one with a documented, statistically valid rationale for inspection and for process validation. This calculator gives the confidence and reliability success-run number you can cite and shows how lot size and reliability move it.

Your numbers

Probability that the claim about the population is true.

95 %

Lowest conforming rate you want to demonstrate.

units

Used for the finite population adjustment.

$

Your results

Sample size, zero failures allowed
59
Success run theorem: all samples must pass.
Adjusted for finite lot
59
Approximation. Never larger than the lot.
Maximum nonconforming rate demonstrated
5%
Test cost
$1,475

Zero-failure success run sizing for attribute (pass/fail) data. If you allow failures, variable data, or a regulator-specific plan, confirm the method with a statistician and your validation procedure.

Save results:

Sample size vs reliability at chosen confidence

Sweeps Reliability (proportion conforming) from 80 to 99.5, holding your other inputs fixed.

Validation records on your own servers

Optional: talk about searching test and validation history with a private on-premises AI.

Optional. The tool and every export work without this. No spam.

How to use the calculator

Pick the confidence level, set the reliability you must demonstrate and enter the lot size if the population is small. The primary output is the number of units that must all pass. Write the confidence, reliability and the reasoning in your validation protocol. Risk drives the choice: higher-risk characteristics under your risk management file deserve higher confidence and reliability.

  • Link the confidence/reliability pair to the hazard severity in your risk file
  • Document the formula and the rationale in the protocol, not just the number
  • Re-run it when the claimed reliability changes

The formula and common pairs

For pass/fail data with zero allowed failures, n = ln(1 - C) / ln(R), rounded up, where C is confidence and R is reliability. Common results: 90/90 needs 22 units, 95/90 needs 29, 95/95 needs 59, 99/95 needs 90 and 95/99 needs 299. If you allow one failure, the 95/90 plan rises to 46 and 95/95 to 93. More failures need a binomial calculation rather than this closed form.

Inspection sampling versus validation sampling

Lot acceptance inspection often uses an AQL table such as ANSI/ASQ Z1.4 or ISO 2859-1, which sets a sample size from lot size and an acceptable quality level. That controls producer risk on a lot, but it does not by itself prove process capability. Process validation (IQ, OQ, PQ) commonly uses confidence and reliability for attribute data, or tolerance intervals and capability indices for variable data. Pick the method based on what the claim is.

Common mistakes

Teams pick 30 units because it feels standard, with no link to risk. Others forget that the success run assumes independent, representative samples drawn across lots, operators and time, not a single batch built in one hour.

  • Using one lot for a validation that claims ongoing process performance
  • Applying the finite correction to justify a tiny sample on a small lot without a risk rationale
  • Not documenting what happens if a unit fails

Frequently Asked Questions

What sample size does ISO 13485 require?

The standard does not state a number. It requires that sampling plans be statistically valid and justified, and that process validation methods and criteria be documented. The justification usually links back to risk.

What does 95/95 mean?

It means 95 percent confidence that at least 95 percent of the population conforms. With zero allowed failures, that needs 59 samples.

Can I use AQL for process validation?

AQL plans control lot acceptance and are weak evidence of process capability. For validation, regulators and notified bodies generally expect a rationale tied to confidence, reliability or capability, plus risk.

Does a smaller lot let me use fewer samples?

A finite correction can reduce the number, and with very small lots you may test everything. Document the reasoning and make sure the samples still represent the real variation.

If your inspection and test records sit in an ERP or quality system, Netray can add a private AI layer on-premises so engineers can query historical results when writing a sampling rationale. Get in touch if useful.

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