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A binomial CUSUM chart for detecting large shifts in fraction nonconforming

Wu, Zhang, Jiao, Jianxin and Liu, Ying ORCID: 2008. A binomial CUSUM chart for detecting large shifts in fraction nonconforming. Journal of Applied Statistics 35 (11) , pp. 1267-1276. 10.1080/02664760802320533

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This article studies a unique feature of the binomial CUSUM chart in which the difference (d t −d 0) is replaced by (d t −d 0)2 in the formulation of the cumulative sum C t (where d t and d 0 are the actual and in-control numbers of nonconforming units, respectively, in a sample). Performance studies are reported and the results reveal that this new feature is able to increase the detection effectiveness when fraction nonconforming p becomes three to four times as large as the in-control value p 0. The design of the new binomial CUSUM chart is presented along with the calculation of the in-control and out-of-control Average Run Lengths (ARL0 and ARL1).

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: Q Science > QA Mathematics
T Technology > TA Engineering (General). Civil engineering (General)
Uncontrolled Keywords: quality control, statistical process control, attribute control chart, binomial CUSUM control chart, fraction nonconforming
Publisher: Taylor & Francis
ISSN: 0266-4763
Last Modified: 25 Oct 2022 08:03

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