Assessing a binary measurement system with an underlying continuous measurand using targeted verification

Abstract

Suppose an important continuous quality characteristic with specification $x\ge c$ is expensive to measure with a gold standard measurement system. A 100% pass/fail inspection scheme uses a binary measurement system such as a no-go gauge to avoid the expensive gold standard measurements. The inspection scheme makes some errors and we are interested in estimating both the probability of passing a bad part and of failing a good part. We assume that the inspection system is not destructive so we can inspect parts multiple times if we so choose. A part is verified if we use the gold standard system to determine if the part is within specification or not. We propose and quantify the benefits of a new cost-effective assessment plan that verifies only a small fraction of the parts selected for the study.

Keywords:

• Analytic method
• gauge R&R
• Go/Nogo gauge
• inspection system

Acknowledgements

The authors would like to thank an anonymous referee who provided extensive comments and very helpful suggestions. This paper was substantially improved because of their efforts.

Additional information

Funding

This study was supported by Natural Sciences and Engineering Research Council of Canada.