On the Performance of Phase I Dispersion Control Charts for Process Monitoring |
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| Authors: | Saddam Akber Abbasi Muhammad Riaz Arden Miller Shabbir Ahmad |
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| Affiliation: | 1. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, KSA;2. Department of Statistics, The University of Auckland, Auckland, New Zealand;3. Department of Mathematics, COMSATS Institute of Information Technology, Wah Cantt, Pakistan |
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| Abstract: | Control charts are usually implemented in two phases: the retrospective phase (phase I) and the monitoring phase (phase II). The performance of any phase II control chart structure depends on the preciseness of the control limits obtained from the phase I analysis. In statistical process control, the performance of phase I dispersion charts has mainly been investigated for normal or contaminated normal distributions of the quality characteristic of interest. Little work has been carried out to investigate the performance of a wide range of possible phase I dispersion charts for processes following non‐normal distributions. The current study deals with the proper choice of a control chart for the evaluation of process dispersion in phase I. We have analyzed the performance of a wide range of dispersion control charts, including two distribution‐free structures. The performance of the control charts is evaluated in terms of probability to signal, under normal and non‐normal process setups. These results will be useful for quality control practitioners in their selection of a phase I control chart. Copyright © 2014 John Wiley & Sons, Ltd. |
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| Keywords: | control charts dispersion parameter normality/non‐normality parametric/non‐parametric phase I signaling probability |
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