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Generalized confidence intervals for process capability indices
Author(s) -
Mathew Thomas,
Sebastian G.,
Kurian K. M.
Publication year - 2007
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.828
Subject(s) - confidence interval , confidence distribution , cdf based nonparametric confidence interval , robust confidence intervals , statistics , mathematics , confidence region , coverage probability , limit (mathematics) , process capability , process capability index , credible interval , engineering , mathematical analysis , work in process , operations management
The concept of generalized confidence intervals is used to derive lower confidence limits for some of the commonly used process capability indices. For the cases where approximate lower confidence limits are already available, numerical comparisons are made among the available approximations and the generalized lower confidence limit. The numerical results indicate that the generalized confidence interval does provide coverage probabilities very close to the nominal confidence level. Two examples are given to illustrate the results. Copyright © 2006 John Wiley & Sons, Ltd.