Social and Behavioral Sciences Commons^™

On The Performance Of Geometric Chart With Estimated Control Limits, Zhenlin Yang, Min Xie, Vellaisamy Kuralmani, Kwok-Leung Tsui

Research Collection School Of Economics

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 …