# Optimal acceptance sampling for modules F and F1 of the European Measuring Instruments Directive

## TL;DR

This paper develops an optimized acceptance sampling scheme for modules F and F1 of the European Measuring Instruments Directive, reducing sample sizes while maintaining required statistical protection.

## Contribution

It introduces a new sampling plan that is more efficient than ISO 2859-1, applicable to both large and finite lots, based on binomial and hypergeometric distributions.

## Key findings

- Smaller sample sizes achieved compared to ISO 2859-1
- Applicable to large and finite lots with full statistical protection
- Enhanced economic efficiency of sampling plans

## Abstract

Acceptance sampling plans offered by ISO 2859-1 are far from optimal under the conditions for statistical verification in modules F and F1 as prescribed by Annex II of the Measuring Instruments Directive (MID) 2014/32/EU, resulting in sample sizes that are larger than necessary. An optimised single-sampling scheme is derived, both for large lots using the binomial distribution and for finite-sized lots using the exact hypergeometric distribution, resulting in smaller sample sizes that are economically more efficient while offering the full statistical protection required by the MID.