Outliers’ detection with a sensitive exponentially weighted moving average control chart

The effect of parameter estimation emanating from the retrospective stage on the monitoring stage of control charts cannot be overemphasized. These effects are born of but are not limited to the practitioner-to-practitioner variations in the amount and type of samples employed to estimate the proces...

Full description

Bibliographic Details
Main Authors: Raji, Ishaq Adeyanju, Muhammad Riaz, Muhammad Riaz, Abujiya, Mu'azu Ramat, Abbas, Nasir, Lee, Muhammad Hisyam
Format: Article
Published: John Wiley and Sons Ltd 2022
Subjects:
_version_ 1796867550502453248
author Raji, Ishaq Adeyanju
Muhammad Riaz, Muhammad Riaz
Abujiya, Mu'azu Ramat
Abbas, Nasir
Lee, Muhammad Hisyam
author_facet Raji, Ishaq Adeyanju
Muhammad Riaz, Muhammad Riaz
Abujiya, Mu'azu Ramat
Abbas, Nasir
Lee, Muhammad Hisyam
author_sort Raji, Ishaq Adeyanju
collection ePrints
description The effect of parameter estimation emanating from the retrospective stage on the monitoring stage of control charts cannot be overemphasized. These effects are born of but are not limited to the practitioner-to-practitioner variations in the amount and type of samples employed to estimate the process parameters. Another major factor to this effect is outlying errors in phase-I data. This study evaluates the performance of the exponentially weighted moving average (EWMA) control chart, based on outlying values and practitioner-to-practitioner's variation in the phase-I preliminary samples. Furthermore, the study proposes a sensitive EWMA control chart with Tukey's and median absolute deviation (MAD) outlier detectors. We study the proposed EWMA chart's estimation effect based on the outlier detector models compared to the default EWMA chart through the Monte-Carlo simulation approach. By studying the run length properties of the proposed schemes, the study's findings prove that the outlier detectors-based models are more stable in the presence of outliers and require less observation in the retrospective stage. The study concludes by implementing the results on a real-life dataset extracted from the semiconductor manufacturing industry.
first_indexed 2024-03-05T21:28:57Z
format Article
id utm.eprints-103895
institution Universiti Teknologi Malaysia - ePrints
last_indexed 2024-03-05T21:28:57Z
publishDate 2022
publisher John Wiley and Sons Ltd
record_format dspace
spelling utm.eprints-1038952023-12-04T06:19:51Z http://eprints.utm.my/103895/ Outliers’ detection with a sensitive exponentially weighted moving average control chart Raji, Ishaq Adeyanju Muhammad Riaz, Muhammad Riaz Abujiya, Mu'azu Ramat Abbas, Nasir Lee, Muhammad Hisyam QA Mathematics The effect of parameter estimation emanating from the retrospective stage on the monitoring stage of control charts cannot be overemphasized. These effects are born of but are not limited to the practitioner-to-practitioner variations in the amount and type of samples employed to estimate the process parameters. Another major factor to this effect is outlying errors in phase-I data. This study evaluates the performance of the exponentially weighted moving average (EWMA) control chart, based on outlying values and practitioner-to-practitioner's variation in the phase-I preliminary samples. Furthermore, the study proposes a sensitive EWMA control chart with Tukey's and median absolute deviation (MAD) outlier detectors. We study the proposed EWMA chart's estimation effect based on the outlier detector models compared to the default EWMA chart through the Monte-Carlo simulation approach. By studying the run length properties of the proposed schemes, the study's findings prove that the outlier detectors-based models are more stable in the presence of outliers and require less observation in the retrospective stage. The study concludes by implementing the results on a real-life dataset extracted from the semiconductor manufacturing industry. John Wiley and Sons Ltd 2022-06 Article PeerReviewed Raji, Ishaq Adeyanju and Muhammad Riaz, Muhammad Riaz and Abujiya, Mu'azu Ramat and Abbas, Nasir and Lee, Muhammad Hisyam (2022) Outliers’ detection with a sensitive exponentially weighted moving average control chart. Quality and Reliability Engineering International, 38 (4). pp. 1790-1813. ISSN 0748-8017 http://dx.doi.org/10.1002/qre.3043 DOI:10.1002/qre.3043
spellingShingle QA Mathematics
Raji, Ishaq Adeyanju
Muhammad Riaz, Muhammad Riaz
Abujiya, Mu'azu Ramat
Abbas, Nasir
Lee, Muhammad Hisyam
Outliers’ detection with a sensitive exponentially weighted moving average control chart
title Outliers’ detection with a sensitive exponentially weighted moving average control chart
title_full Outliers’ detection with a sensitive exponentially weighted moving average control chart
title_fullStr Outliers’ detection with a sensitive exponentially weighted moving average control chart
title_full_unstemmed Outliers’ detection with a sensitive exponentially weighted moving average control chart
title_short Outliers’ detection with a sensitive exponentially weighted moving average control chart
title_sort outliers detection with a sensitive exponentially weighted moving average control chart
topic QA Mathematics
work_keys_str_mv AT rajiishaqadeyanju outliersdetectionwithasensitiveexponentiallyweightedmovingaveragecontrolchart
AT muhammadriazmuhammadriaz outliersdetectionwithasensitiveexponentiallyweightedmovingaveragecontrolchart
AT abujiyamuazuramat outliersdetectionwithasensitiveexponentiallyweightedmovingaveragecontrolchart
AT abbasnasir outliersdetectionwithasensitiveexponentiallyweightedmovingaveragecontrolchart
AT leemuhammadhisyam outliersdetectionwithasensitiveexponentiallyweightedmovingaveragecontrolchart