Properties and performance of one-sided cumulative count of conforming chart with parameter estimation in high-quality processes

Jing-Er Chiu and Chih-Hsin Tsai

Journal of Applied Statistics, 2013, vol. 40, issue 11, 2341-2353

Abstract: The one-sided cumulative count of conforming (CCC) chart is a useful method to monitor nonconforming fraction in high-quality manufacturing processes. The nonconforming fraction parameter is assumed to be known when implementing a one-sided CCC chart. In this study, we investigated the impact of estimated nonconforming fraction, [pcirc] 0 , in a one-sided CCC chart. The run length distribution is derived as well as the conditional probability of a false alarm rate (CFAR), conditional average run length (CARL) and its standard deviation (CSDRL). Simulation results are conducted to evaluate the effect of [pcirc] 0 in a one-sided CCC chart. The results show that values of CFAR, CARL and CSDRL are close to the nominal values for a large sample. The impact of estimation errors was also studied. We find that CFAR decreases for large [pcirc] 0 . Thus, a large value of [pcirc] 0 is suggested for fewer false alarms.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:40:y:2013:i:11:p:2341-2353

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DOI: 10.1080/02664763.2013.811479

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