Wu, Zhang, Jiao, Jianxin and Liu, Ying  ORCID: https://orcid.org/0000-0001-9319-5940
2008.
A binomial CUSUM chart for detecting large shifts in fraction nonconforming.
Journal of Applied Statistics
35
(11)
, pp. 1267-1276.
10.1080/02664760802320533
|
Abstract
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: | 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 |
| URI: | https://orca.cardiff.ac.uk/id/eprint/51229 |
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