Confidence intervals for the proportion of conformance

Abstract

The proportion of conformance is defined as the proportion of products with quality characteristic inside the specification limits. The construction of confidence interval for the proportion of conformance is an important problem in industrial applications, especially when the number of conforming units follows a binomial distribution. In this study, we propose an approach to construct confidence intervals for the proportion of conformance. Numerical and simulation studies are conducted to compare the performance of these intervals. In addition, we also provide a methodology to calculate the exact confidence coefficients of the proposed intervals satisfying some conditions.

KEYWORDS:

• Binomial distribution
• confidence coefficient
• confidence interval
• coverage probability
• proportion of conformance

Acknowledgments

We are grateful to the referee and an Associate Editor for their useful comments, which resulted in considerable improvement of the original paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Correction Statement

This article has been corrected with minor changes. These changes do not impact the academic content of the article.

Additional information

Funding

This work was supported by Ministry of Science and Technology, Taiwan [grant number 107-2118-M-009 -002 -MY2,].