Effect of Inspection Error on Out-of-Control Average Run Length of CUSUM Charts

Authors: Wu, Yougui; Zhu, Yiliang; Wang, Wei

Source: Communications in Statistics: Simulation and Computation, Volume 38, Number 7, August 2009 , pp. 1435-1445(11)

Publisher: Taylor and Francis Ltd

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Abstract:

The cumulative sum (CUSUM) chart is commonly used for detecting small or moderate shifts in the fraction of defective manufactured items. However, its construction relies on the error-free inspection assumption, which can seldom be met in practice. In this article, we discuss the construction of an upward CUSUM chart in the presence of inspection error, study the effects of inspection error on the out-of-control ARL of the CUSUM chart, and present a formula for determining the sampling size that compensates for the effect of inspection error on the out-of-control ARL.

Keywords: Average run length; CUSUM attribute chart; Inspection error; Sample size adjustment

Document Type: Research article

DOI: http://dx.doi.org/10.1080/03610910902948211

Affiliations: 1: Department of Epidemiology and Biostatistics, College of Public Health, University of South Florida, Tampa, Florida, USA

Publication date: 2009-08-01