A binomial CUSUM chart for detecting large shifts in fraction nonconforming

Zhang Wu, Jianxin Jiao and Ying Liu

Journal of Applied Statistics, 2008, vol. 35, issue 11, 1267-1276

Abstract: This article studies a unique feature of the binomial CUSUM chart in which the difference (dt-d0) is replaced by (dt-d0)2 in the formulation of the cumulative sum Ct (where dt and d0 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 p0. 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).

Keywords: quality control; statistical process control; attribute control chart; binomial CUSUM control chart; fraction nonconforming (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1080/02664760802320533

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