Confidence intervals for the proportion of conformance

Chung Han Lee, Hsiuying Wang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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.

Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Statistical Computation and Simulation
StatePublished - 8 Feb 2021


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


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