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Distributional properties of estimated capability indices based on subsamples
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Arizona State University.
2003 (English)In: Quality and Reliability Engineering International, ISSN 0748-8017, E-ISSN 1099-1638, Vol. 19, no 2, p. 111-128Article in journal (Refereed) Published
Abstract [en]

Under the assumption of normality, the distribution of estimators of a class of capability indices, containing the indices , , and , is derived when the process parameters are estimated from subsamples. The process mean is estimated using the grand average and the process variance is estimated using the pooled variance from subsamples collected over time for an in-control process. The derived theory is then applied to study the use of hypothesis testing to assess process capability. Numerical investigations are made to explore the effect of the size and number of subsamples on the efficiency of the hypothesis test for some indices in the studied class. The results for and indicate that, even when the total number of sampled observations remains constant, the power of the test decreases as the subsample size decreases. It is shown how the power of the test is dependent not only on the subsample size and the number of subsamples, but also on the relative location of the process mean from the target value. As part of this investigation, a simple form of the cumulative distribution function for the non-central -distribution is also provided

Place, publisher, year, edition, pages
2003. Vol. 19, no 2, p. 111-128
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics with special emphasis on Industrial Statistic
Identifiers
URN: urn:nbn:se:ltu:diva-6299DOI: 10.1002/qre.514ISI: 000182120800004Scopus ID: 2-s2.0-0037360708Local ID: 48487160-5ab1-11db-825a-000ea68e967bOAI: oai:DiVA.org:ltu-6299DiVA, id: diva2:979176
Note
Validerad; 2003; 20061013 (evan)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Vännman, Kerstin

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  • apa
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