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http://dx.doi.org/10.5351/KJAS.2018.31.4.485

The in-control performance of the CCC-r chart with estimated parameters  

Kim, Jaeyeon (Department of Applied Statistics, Chung-Ang University)
Kim, Minji (Department of Applied Statistics, Chung-Ang University)
Lee, Jaeheon (Department of Applied Statistics, Chung-Ang University)
Publication Information
The Korean Journal of Applied Statistics / v.31, no.4, 2018 , pp. 485-495 More about this Journal
Abstract
The CCC-r chart is more effective than traditional attribute control charts for monitoring high-quality processes. In-control process parameters are typically unknown and should be estimated when implementing a CCC-r chart. Phase II control chart performance can deteriorate due to the effect of the estimation error. In this paper, we used the standard deviation of average run length (ARL) as well as the average of ARL to quantify the between-practitioner variability in the CCC-r chart performance. The results indicate that the CCC-r chart requires larger Phase I data than previously recommended in the literature in order to have consistent chart in-control performance among practitioners.
Keywords
ARL; average of ARL; CCC-r chart; Phase I; standard deviation of ARL;
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