A Synthetic Scaled Weighted Variance Control Chart for Monitoring the Process Mean of Skewed Populations

Philippe Castagliola · Michael B. C. Khoo

31 citations0/0 files storedCommunications in Statistics - Simulation and Computation

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

In this article, a synthetic scaled weighted variance (synthetic SWV-) control chart is proposed to monitor the process mean of skewed populations. This control chart is an improvement over the synthetic weighted variance (synthetic WV-) chart suggested by Khoo et al. (2008 Khoo , M. , Wu , Z. , Atta , A. ( 2008 ). A synthetic control chart for monitoring the process mean of skewed populations based on the weighted variance method . International Journal of Reliability, Quality and Safety Engineering 15 ( 3 ): 217 – 245 .[Crossref] , [Google Scholar]), in the detection of a negative shift in the mean. A comparison between the performances of the synthetic SWV- and synthetic WV- charts are made in terms of the average run length (ARL) values for the various levels of skewnesses as well as different magnitudes of positive and negative shifts in the mean. A method to construct the synthetic SWV- chart is explained in detail. An illustrative example is also given to show the implementation of the synthetic SWV- chart.

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References

2005A Bootstrap Control Chart for Weibull Percentiles 2000A Synthetic Control Chart for Detecting Small Shifts in the Process Mean 2002Evaluating and Improving the Synthetic Control Chart 1995XandRControl Charts for Skewed Populations 2001Control charts for positively‐skewed populations with weighted standard deviations 2001A Synthetic Control Chart for Detecting Fraction Nonconforming Increases 2003Economic design of X control charts for non-normal data using variable sampling policy 2003Skewness correction X and R charts for skewed distributions

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