Double Moving Average Control Chart for Autocorrelated Data

  • Hira Arooj The University of Lahore, Pakistan
  • Khawar Iqbal Malik The University of Lahore, Pakistan
Keywords: ARL, AR (1), independent identical distribution, serial correlation, time series model

Abstract

The assumption of normality and independence is necessary for statistical inference of control charts. Misleading results  could be obtained if the traditional control chart technique is applied  to the autocorrelated data.  A time series model is employed to produce optimum output when data is correlated. The objective of this current research is to create a new control chart methodology  which takes the autocorrelation  data observations into account. Charts of moving average, exponentially weighted, and cumulative sum  perform better for the  autocorrelation of data for small and moderate changes. The proposed methodology is highly skilled and receptive to minor, moderate, and major changes in the process. The proposed DMA chart increases the efficiency of  the average run length (ARL) chart for moving average (MA) to detect the small to medium magnitude shifts in the mean. The simulation also demonstrated that the DMA chart with spans of w=10 and 15 generally performs  better in terms of average run length (ARL) as compared to classical MA. This research might be extended to a multivariate autocorrelated statistical process control but it could also be used to recognize and categorize seven categories of traditional control chart patterns, such as downward, upward shift, normal trend, cyclic, systematic patterns, increasing and  decreasing trend. In order to identify and categorise a set of subclasses of abnormal patterns, this model (multivariate autocorrelated statistical process control chart) should employ a multilayer feed-forward Artificial Neural Network (ANN) architecture controlled by a back-propagation learning rule.

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Published
2022-05-03
How to Cite
1.
Arooj H, Malik KI. Double Moving Average Control Chart for Autocorrelated Data. Sci Inquiry Rev. [Internet]. 2022May3 [cited 2022Dec.5];6(2):1-20. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/2650
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Articles