Authors
Zhenlin Yang, Min Xie, Vellaisamy Kuralmani, Kwok-Leung Tsui
Publication date
2002/10/1
Journal
Journal of Quality Technology
Volume
34
Issue
4
Pages
448-458
Publisher
Taylor & Francis
Description
The control chart based on the geometric distribution (geometric chart) has been shown to be competitive with p- or np-charts for monitoring the proportion nonconforming, especially for applications in high quality manufacturing environments. However, implementing a geometric chart is often based on the assumption that the in-control proportion nonconforming is known or accurately estimated. For a high quality process, an accurate parameter estimate may require a very large sample size that is seldom available. In this paper we investigate the sample size effect when the proportion nonconforming is estimated. An analytical approximation is derived to compute shift detection probabilities and run length distributions. It is found that the effect on the alarm probability can be significant even with sample sizes as large as 10,000. However, the average run length is only affected mildly unless the sample size is small …
Total citations
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Scholar articles
Z Yang, M Xie, V Kuralmani, KL Tsui - Journal of Quality Technology, 2002