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A hybrid homogeneously weighted moving average control chart for process monitoring: Discussion
Authors:Jean-Claude Malela-Majika  Sandile Charles Shongwe  Olatunde Adebayo Adeoti
Affiliation:1. Faculty of Natural and Agricultural Sciences, Department of Statistics, University of Pretoria, Hatfield, Pretoria, South Africa;2. Faculty of Natural and Agricultural Sciences, Department of Mathematical Statistics and Actuarial Science, University of the Free State, Bloemfontein, South Africa;3. Department of Statistics, The Federal University of Technology Akure, Akure, Nigeria
Abstract:The sensitivity of a monitoring scheme depends on many factors including the variance of the charting statistic which is very important in the computation of the control limits. This paper discusses the computation of the variance of the recently proposed hybrid homogeneously weighted moving average (HHWMA) X¯ scheme which was based on an incorrect assumption. The correct variance is used to evaluate the run-length characteristics of the HHWMA X¯ scheme. It is observed that the incorrect variance has a significant impact on the sensitivity (or performance) of the HHWMA X¯ scheme.
Keywords:average run-length  HWMA  hybrid HWMA  median run-length  standard deviation of the run-length
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