Mixed Tukey-Double Moving Average for Monitoring of Process Mean

  • Saowanit Sukparungsee Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Nongnuch Saengsura Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Yupaporn Areepong Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok, Thailand
  • Suganya Phantu Faculty of Sciences, Energy and Environment, King Mongkut’s University of Technology North Bangkok, Rayong Campus, Rayong, Thailand
Keywords: Average run length, double moving average control chart, Tukey’s control chart, nonparametric control chart

Abstract

A double moving average (DMA) control chart is used to detect smaller shifts in the process parameters. The DMA chart depends on the normality assumption for a better detection ability. This article is a similar effort to design an improvement the charting structure in the form of a mixed Tukey-Double moving average control chart (namely Tukey-DMA), specially designed for symmetric and asymmetric processes. The comparative analysis has revealed that the proposed scheme is an effective competitor to the existing counterparts, including Tukey, DMA, and Tukey-MA. The performance of the proposed and the competing charts are measured using Average run length (ARL). Moreover, the proposed design presents some of the aforementioned charts as special cases. For practical considerations, we have implemented the proposed and existing charts to two real-life data sets, one related to Nile river flow and the other one concerning British coal mining disaster.

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Published
2021-09-29
Section
Articles