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Elliptical safety region plots for Cpk
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
2011 (Engelska)Ingår i: Journal of Applied Statistics, ISSN 0266-4763, E-ISSN 1360-0532, Vol. 38, nr 6, s. 1169-1187Artikel i tidskrift (Refereegranskat) Published
Abstract [en]

The process capability index Cpk is widely used when measuring the capability of a manufacturing process. A process is defined to be capable if the capability index exceeds a stated threshold value, e.g. Cpk4/3. This inequality can be expressed graphically using a process capability plot, which is a plot in the plane defined by the process mean and the process standard deviation, showing the region for a capable process. In the process capability plot, a safety region can be plotted to obtain a simple graphical decision rule to assess process capability at a given significance level. We consider safety regions to be used for the index Cpk. Under the assumption of normality, we derive elliptical safety regions so that, using a random sample, conclusions about the process capability can be drawn at a given significance level. This simple graphical tool is helpful when trying to understand whether it is the variability, the deviation from target, or both that need to be reduced to improve the capability. Furthermore, using safety regions, several characteristics with different specification limits and different sample sizes can be monitored in the same plot. The proposed graphical decision rule is also investigated with respect to power

Ort, förlag, år, upplaga, sidor
2011. Vol. 38, nr 6, s. 1169-1187
Nationell ämneskategori
Sannolikhetsteori och statistik
Forskningsämne
Matematisk statistik inriktning industriell statistik
Identifikatorer
URN: urn:nbn:se:ltu:diva-4824DOI: 10.1080/02664763.2010.491858ISI: 000288670000005Scopus ID: 2-s2.0-79952951300Lokalt ID: 2d0af12b-5af8-4586-9a52-46c641c5f54dOAI: oai:DiVA.org:ltu-4824DiVA, id: diva2:977698
Anmärkning
Validerad; 2011; 20110408 (andbra)Tillgänglig från: 2016-09-29 Skapad: 2016-09-29 Senast uppdaterad: 2018-07-10Bibliografiskt granskad

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Albing, MalinVännman, Kerstin
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