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Confidence limits for compliance testing using mixed acceptance criteria
Author(s) -
Edirisinghe Pasan M.,
Mathew Thomas,
Peiris T. S. G.
Publication year - 2020
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/qre.2623
Subject(s) - confidence interval , statistics , parametric statistics , limit (mathematics) , sample (material) , acceptance testing , mathematics , quality (philosophy) , econometrics , computer science , software engineering , mathematical analysis , philosophy , chemistry , epistemology , chromatography
For manufactured items sold by weight or volume, this article considers mixed acceptance criteria that put limits on the sample mean or on an upper confidence limit based on the sample mean and on the number of individual sample units that are nonconforming. For a normally distributed quality characteristic of interest, this article develops lower confidence limits for the mixed acceptance criteria applying the concept of a generalized pivotal quantity and applying a bias‐corrected and accelerated parametric bootstrap. The accuracy of the confidence limits is assessed using estimated coverage probabilities, and the results are illustrated with an example.