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

Talordphop, Khanittha; Areepong, Yupaporn; Sukparungsee, Saowanit

doi:10.3390/math11214482

Open AccessArticle

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

by

Khanittha Talordphop

¹,

Yupaporn Areepong

²

and

Saowanit Sukparungsee

^2,*

¹

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

²

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

^*

Author to whom correspondence should be addressed.

Mathematics 2023, 11(21), 4482; https://doi.org/10.3390/math11214482

Submission received: 30 September 2023 / Revised: 23 October 2023 / Accepted: 27 October 2023 / Published: 30 October 2023

(This article belongs to the Special Issue Nonparametric Statistical Methods and Their Applications)

Download

Browse Figures

Versions Notes

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.

Keywords: signed-rank test; extended exponentially weighted moving average control chart; average run length; mean process; detection; nonparametric control chart

Share and Cite

MDPI and ACS Style

Talordphop, K.; Areepong, Y.; Sukparungsee, S. Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean. Mathematics 2023, 11, 4482. https://doi.org/10.3390/math11214482

AMA Style

Talordphop K, Areepong Y, Sukparungsee S. Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean. Mathematics. 2023; 11(21):4482. https://doi.org/10.3390/math11214482

Chicago/Turabian Style

Talordphop, Khanittha, Yupaporn Areepong, and Saowanit Sukparungsee. 2023. "Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean" Mathematics 11, no. 21: 4482. https://doi.org/10.3390/math11214482

APA Style

Talordphop, K., Areepong, Y., & Sukparungsee, S. (2023). Design and Analysis of Extended Exponentially Weighted Moving Average Signed-Rank Control Charts for Monitoring the Process Mean. Mathematics, 11(21), 4482. https://doi.org/10.3390/math11214482

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

Article Menu

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

Abstract

Share and Cite

Article Metrics

Article Access Statistics

Further Information

Guidelines

MDPI Initiatives

Follow MDPI