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Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean

Author

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  • Khanittha Talordphop

    (Department of Mathematics and Statistics, Faculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna Phitsanulok, Phitsanulok 65000, Thailand)

  • Yupaporn Areepong

    (Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

  • Saowanit Sukparungsee

    (Department of Applied Statistics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

Abstract

In the real world, a nonparametric control chart is a powerful substitute for enhancing outcome quality, although the fundamental procedure characteristic often fails to match the distribution assumptions. This study aims to construct and evaluate an extended exponentially weighted moving average control chart based on signed-rank statistics (EEWMA-SR) for recognizing changes in procedures. According to the study, the proposed chart proves more potent recognition of shifts in the process mean, predominantly small shifts, than the other control charts by the average run length in Monte Carlo simulation. Applying the proposed control chart to an actual dataset yielded events that corroborated the study discoveries.

Suggested Citation

  • Khanittha Talordphop & Yupaporn Areepong & Saowanit Sukparungsee, 2023. "Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean," Mathematics, MDPI, vol. 11(21), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4482-:d:1270449
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    References listed on IDEAS

    as
    1. Muhammad Aslam & Muhammad Ali Raza & Muhammad Azam & Liaquat Ahmad & Chi-Hyuck Jun, 2020. "Design of a sign chart using a new EWMA statistic," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(6), pages 1299-1310, March.
    2. Muhammad Abid & Hafiz Zafar Nazir & Muhammad Tahir & Muhammad Riaz, 2018. "On designing a new cumulative sum Wilcoxon signed rank chart for monitoring process location," PLOS ONE, Public Library of Science, vol. 13(4), pages 1-18, April.
    3. Graham, M.A. & Chakraborti, S. & Human, S.W., 2011. "A nonparametric exponentially weighted moving average signed-rank chart for monitoring location," Computational Statistics & Data Analysis, Elsevier, vol. 55(8), pages 2490-2503, August.
    4. Zahid Rasheed & Hongying Zhang & Muhammad Arslan & Babar Zaman & Syed Masroor Anwar & Muhammad Abid & Saddam Akber Abbasi, 2021. "An Efficient Robust Nonparametric Triple EWMA Wilcoxon Signed-Rank Control Chart for Process Location," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-28, October.
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