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Exponentially weighted moving average—Moving average charts for monitoring the process mean

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  • Saowanit Sukparungsee
  • Yupaporn Areepong
  • Rattikarn Taboran

Abstract

This research aimed to propose a newly-mixed control chart called the Exponentially Weighted Moving Average—Moving Average Chart (EWMA-MA) to detect the mean change in a process underlying symmetric and asymmetric distributions. The performance of the proposed control chart are compared with Shewhart, MA, EWMA, MA-EWMA and EWMA-MA control charts by using average run length (ARL), standard deviation of run length (SDRL), and median run length (MRL) as the criteria for measuring efficiency which evaluated by using Monte Carlo simulation (MC), Moreover, the proposed control chart will be applied to real data. The results of performance comparison showed that the presented control charts performed better detection than the Shewhart, MA, and EWMA charts. However, the results of detection tended to be slower than those for the MA-EWMA chart. The value of ARL1 for the mixed control chart depends on the parameters of the statistics for such control chart. The EWMA-MA chart is a variable following λ and the MA-EWMA chart is varied according to w. From applying the proposed control chart to the data for flow in the Nile River and data of the real GDP growth (%) in the Lebanese economy, it was found to be in accordance with the research results.

Suggested Citation

  • Saowanit Sukparungsee & Yupaporn Areepong & Rattikarn Taboran, 2020. "Exponentially weighted moving average—Moving average charts for monitoring the process mean," PLOS ONE, Public Library of Science, vol. 15(2), pages 1-24, February.
    • Handle: RePEc:plo:pone00:0228208
    DOI: 10.1371/journal.pone.0228208
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    References listed on IDEAS

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    1. Muhammad Aslam & Muhammad Azam & Chi-Hyuck Jun, 2016. "Mixed sampling plan based on exponentially weighted moving average statistic," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(22), pages 6709-6719, November.
    2. Harvie, Charles & Pahlavani, Mosayeb & Saleh, Ali Salman, 2006. "Identifying Structural Breaks in the Lebanese Economy 1970-2003: An Application of the Zivot and Andrews Test," Economics Working Papers wp06-02, School of Economics, University of Wollongong, NSW, Australia.
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    Cited by:

    1. Muhammad Ali Raza & Komal Iqbal & Muhammad Aslam & Tahir Nawaz & Sajjad Haider Bhatti & Gideon Mensah Engmann, 2023. "Mixed Exponentially Weighted Moving Average—Moving Average Control Chart with Application to Combined Cycle Power Plant," Sustainability, MDPI, vol. 15(4), pages 1-17, February.

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