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A model-free approach to eliminate autocorrelation when testing for process capability
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Informatics and Mathematical Modelling, Technical University of Denmark.
2008 (English)In: Quality and Reliability Engineering International, ISSN 0748-8017, E-ISSN 1099-1638, Vol. 24, no 2, p. 213-228Article in journal (Refereed) Published
Abstract [en]

There is an increasing use of on-line data acquisition systems in industry. This usually leads to autocorrelated data and implies that the assumption of independent observations has to be re-examined. Most decision procedures for capability analysis assume independent data. In this article we present a new way of performing capability analysis when data are autocorrelated. This method is based on what can be called the 'iterative skipping' strategy. In that, by skipping a pre-determined number of observations, e.g. considering every fifth observation, the data set is divided into subsamples for which the independence assumption may be valid. For each such subsample of the data we estimate a capability index. Then traditional tests, assuming independence, can be performed based on each estimated capability index from the subsamples. By combining the information from each test statistic based on the subsamples in a suitable way, a new and efficient decision procedure is obtained. We discuss different ways of combining the information from these individual tests. A main appeal of our proposed method is that no time-series model is needed.

Place, publisher, year, edition, pages
2008. Vol. 24, no 2, p. 213-228
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics with special emphasis on Industrial Statistic
Identifiers
URN: urn:nbn:se:ltu:diva-6404DOI: 10.1002/qre.887ISI: 000254414100007Scopus ID: 2-s2.0-41049104932Local ID: 4a0efa70-0a2b-11dd-ae49-000ea68e967bOAI: oai:DiVA.org:ltu-6404DiVA, id: diva2:979289
Note
Validerad; 2008; 20080414 (pafi)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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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
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Output format
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