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Bootstrap test for process capability indices

Bootstrap test for process capability indices PurposeThe purpose of this paper is to construct a statistical hypotheses test for process capability indices and compare the pairs of them with a fixed sample size.Design/methodology/approachSince the sampling distribution of the estimators of pairs of two process capability indices (PCIs) is very complex, an exact statistical hypothesis test for them cannot be constructed. Therefore, the authors have proposed a bootstrap method to construct the hypothesis test for them on the basis of p-value.FindingsThe authors have shown that by increasing n, the bootstrap method has better output relative to other methods and it can be easily implemented. The authors have also demonstrated that sometimes an exact hypotheses test cannot be constructed and need some assumptions.Originality/valueIn the present paper, several methods to test of hypotheses about the difference between two process capability indices have been compared. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

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Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0265-671X
DOI
10.1108/IJQRM-11-2014-0166
Publisher site
See Article on Publisher Site

Abstract

PurposeThe purpose of this paper is to construct a statistical hypotheses test for process capability indices and compare the pairs of them with a fixed sample size.Design/methodology/approachSince the sampling distribution of the estimators of pairs of two process capability indices (PCIs) is very complex, an exact statistical hypothesis test for them cannot be constructed. Therefore, the authors have proposed a bootstrap method to construct the hypothesis test for them on the basis of p-value.FindingsThe authors have shown that by increasing n, the bootstrap method has better output relative to other methods and it can be easily implemented. The authors have also demonstrated that sometimes an exact hypotheses test cannot be constructed and need some assumptions.Originality/valueIn the present paper, several methods to test of hypotheses about the difference between two process capability indices have been compared.

Journal

International Journal of Quality & Reliability ManagementEmerald Publishing

Published: Aug 7, 2017

References