Choosing parameter values for a geometric CUSUM chart for detecting an upward shift in a proportion

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dc.contributor.authorBourke, Patrick D.
dc.date.accessioned2020-03-16T14:30:10Z
dc.date.available2020-03-16T14:30:10Z
dc.date.issued2018-04-04
dc.description.abstractThis article considers the task of providing practical advice to quality engineers and practitioners on the choice of values for the two parameters of a geometric CUSUM control chart. This CUSUM chart was developed to enable the detection of sudden shifts from an acceptable level for a proportion (p) such as fraction nonconforming. In the first part of the article, tables are presented listing recommended parameter-choices for each of 18 in-control levels for p in the range (0.04 to 0.001) for detection of each of five sizes of upward shift. In the second part of the article, some empirical relationships among the parameter values are identified. These relationships are used with interpolation to design geometric CUSUM schemes for any in-control level (pa) of p within the range covered by the tables, and with extrapolation for levels of pa as low as 0.0001. Because of the equivalence between a geometric CUSUM and a Bernoulli CUSUM, the tables and the proposed methods of interpolation and extrapolation also provide assistance in the design of a Bernoulli CUSUM chart.en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationBourke, P. D. (2018) Choosing parameter values for a geometric CUSUM chart for detecting an upward shift in a proportion, Quality Engineering, 30 (4), pp. 621-634, doi: 10.1080/08982112.2018.1443341en
dc.identifier.doi10.1080/08982112.2018.1443341en
dc.identifier.eissn1532-4222
dc.identifier.endpage90en
dc.identifier.issn0898-2112
dc.identifier.issued1en
dc.identifier.journaltitleQuality Engineeringen
dc.identifier.startpage75en
dc.identifier.urihttps://hdl.handle.net/10468/9764
dc.identifier.volume32en
dc.language.isoenen
dc.publisherTaylor & Francisen
dc.relation.urihttps://www.tandfonline.com/doi/abs/10.1080/08982112.2018.1443341
dc.rights© 2018 Informa UK Limited. This is an Accepted Manuscript of an article published by Taylor & Francis in Quality Engineering on 04 April 2018, available online: http://www.tandfonline.com/10.1080/08982112.2018.1443341en
dc.subjectBernoulli CUSUMen
dc.subjectCumulative sum schemeen
dc.subjectExponential CUSUMen
dc.subjectProcess monitoringen
dc.subjectStatistical process controlen
dc.titleChoosing parameter values for a geometric CUSUM chart for detecting an upward shift in a proportionen
dc.typeArticle (peer-reviewed)en
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