Sensitivity of the Modified Exponentially Weighted Moving Average Sign-Rank Control Chart to Process Changes in Counted Data-Reference-Cited by-同舟云学术

Sensitivity of the Modified Exponentially Weighted Moving Average Sign-Rank Control Chart to Process Changes in Counted Data

Published:2024-05-15 Issue: Volume:23 Page:331-339
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
Short-container-title:

Author:

Phantu Suganya¹,Areepong Yupaporn²,Sukparungsee Saowanit²

Affiliation:

1. Faulty of Science, Energy, and Environment, King Mongkut’s University of Technology North Bangkok, Rayong 21120, THAILAND

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

Abstract

Control charts are generally used to detect mean process changes in continuous processes. However, counting procedures that characterize product quality are popular in production processes, such as the number of defects or the proportion of defective products. This research aims to investigate using the Modified Exponentially Weighted Moving Average combined with a nonparametric Sign Rank control chart, namely MEWMA-SR chart is a novel tool. Comparative analyses involving different run length measures are conducted to evaluate the proposed scheme against MEWMA, MEWMA-SR, and classical EWMA charts. The performance of the MEWMA-SR chart is assessed using Monte Carlo simulations based on its run-length profiles. It was found that the proposed combination control chart was effective in detecting changes better than other control charts along with presenting applications with real data. A study further validates the proposed chart’s practical utility through a case study analyzing COVID-19 mortality data.

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

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