A study on the effects of trends due to inertia on EWMA and CUSUM charts

Unlike a Shewhart chart, the exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts are memory control charts (also known as time weighted control charts) that are used for a quick detection of small shifts in the process mean. Control charts that combine information from...

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Main Authors:	Michael B.C. Khoo, S.Y. Teh
Format:	Article
Language:	English
Published:	Penerbit ukm 2009
Online Access:	http://journalarticle.ukm.my/1935/ http://journalarticle.ukm.my/1935/ http://journalarticle.ukm.my/1935/1/jqma-5-2-06-khoo.pdf

id	ukm-1935
recordtype	eprints
spelling	ukm-19352016-12-14T06:30:29Z http://journalarticle.ukm.my/1935/ A study on the effects of trends due to inertia on EWMA and CUSUM charts Michael B.C. Khoo, S.Y. Teh, Unlike a Shewhart chart, the exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts are memory control charts (also known as time weighted control charts) that are used for a quick detection of small shifts in the process mean. Control charts that combine information from present and past samples, like the EWMA and CUSUM charts have the ability to detect process changes based on past information. A trend could exist on the EWMA and CUSUM charts, where all the sample points fall in one particular direction on the charts, for example, only above or below the center line. For this case, if a shift in the process mean occurs in the opposite sides of the chart, then such a shift cannot be detected quickly. This phenomenon is known as the inertia problem. A simulation study is conducted using Statistical Analysis System (SAS) to study and compare the effects of inertia on EWMA and CUSUM charts. It is found that the EWMA chart is affected by the inertia problem but not the CUSUM chart Penerbit ukm 2009-12 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/1935/1/jqma-5-2-06-khoo.pdf Michael B.C. Khoo, and S.Y. Teh, (2009) A study on the effects of trends due to inertia on EWMA and CUSUM charts. Journal of Quality Measurement and Analysis, 5 (2). pp. 73-80. ISSN 1823-5670 http://www.ukm.my/~ppsmfst/jqma/index.html
repository_type	Digital Repository
institution_category	Local University
institution	Universiti Kebangasaan Malaysia
building	UKM Institutional Repository
collection	Online Access
language	English
description	Unlike a Shewhart chart, the exponentially weighted moving average (EWMA) and cumulative sum (CUSUM) charts are memory control charts (also known as time weighted control charts) that are used for a quick detection of small shifts in the process mean. Control charts that combine information from present and past samples, like the EWMA and CUSUM charts have the ability to detect process changes based on past information. A trend could exist on the EWMA and CUSUM charts, where all the sample points fall in one particular direction on the charts, for example, only above or below the center line. For this case, if a shift in the process mean occurs in the opposite sides of the chart, then such a shift cannot be detected quickly. This phenomenon is known as the inertia problem. A simulation study is conducted using Statistical Analysis System (SAS) to study and compare the effects of inertia on EWMA and CUSUM charts. It is found that the EWMA chart is affected by the inertia problem but not the CUSUM chart
format	Article
author	Michael B.C. Khoo, S.Y. Teh,
spellingShingle	Michael B.C. Khoo, S.Y. Teh, A study on the effects of trends due to inertia on EWMA and CUSUM charts
author_facet	Michael B.C. Khoo, S.Y. Teh,
author_sort	Michael B.C. Khoo,
title	A study on the effects of trends due to inertia on EWMA and CUSUM charts
title_short	A study on the effects of trends due to inertia on EWMA and CUSUM charts
title_full	A study on the effects of trends due to inertia on EWMA and CUSUM charts
title_fullStr	A study on the effects of trends due to inertia on EWMA and CUSUM charts
title_full_unstemmed	A study on the effects of trends due to inertia on EWMA and CUSUM charts
title_sort	study on the effects of trends due to inertia on ewma and cusum charts
publisher	Penerbit ukm
publishDate	2009
url	http://journalarticle.ukm.my/1935/ http://journalarticle.ukm.my/1935/ http://journalarticle.ukm.my/1935/1/jqma-5-2-06-khoo.pdf
first_indexed	2023-09-18T19:34:44Z
last_indexed	2023-09-18T19:34:44Z
_version_	1777405195398938624

A study on the effects of trends due to inertia on EWMA and CUSUM charts

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