Journal
JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION
Volume 91, Issue 8, Pages 1564-1579Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00949655.2020.1862111
Keywords
Binomial distribution; confidence coefficient; confidence interval; coverage probability; proportion of conformance
Funding
- Ministry of Science and Technology, Taiwan [107-2118M-009 -002 -MY2]
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This study proposes an approach to construct confidence intervals for the proportion of conformance and provides a methodology to calculate the exact confidence coefficients of the proposed intervals. Numerical and simulation studies are conducted to compare the performance of these intervals.
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.
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