Effects of heterogeneous variance on X̄ chart

This research investigated the performance of the X̄ chart when the heterogeneous variation occurs. Machines are regarded as another source of variations with an assumption that the expectation of the quality characteristics produced by each machine is normally distributed. This study report the der...

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Main Author: Chattinnawat W.
Format: Conference or Workshop Item
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-62749108436&partnerID=40&md5=c6d02da7e6e0d291f699042a5c7a4408
http://cmuir.cmu.ac.th/handle/6653943832/1363
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Institution: Chiang Mai University
Language: English
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spelling th-cmuir.6653943832-13632014-08-29T09:29:13Z Effects of heterogeneous variance on X̄ chart Chattinnawat W. This research investigated the performance of the X̄ chart when the heterogeneous variation occurs. Machines are regarded as another source of variations with an assumption that the expectation of the quality characteristics produced by each machine is normally distributed. This study report the derivations of the computation of an effect of false alarm, and/or in different way the computation of an efficiency of X̄ chart in detecting change of process, due to heterogeneous variation. This research study was divided into two cases. If the extra variation is not accounted for during control chart setup, only part of within variation is used, the misplace control limits will be narrower since the variation are underestimated leading to significant false alarm rate. When the extra variation is accounted for, the methodology to determine the control chart is provided. The result shows that the probability of detection and ARLs of the chart has increasing power of detection regardless of the sample size as the extra variation gets larger. © 2008 IEEE. 2014-08-29T09:29:13Z 2014-08-29T09:29:13Z 2008 Conference Paper 9781424426300 10.1109/IEEM.2008.4737928 75544 http://www.scopus.com/inward/record.url?eid=2-s2.0-62749108436&partnerID=40&md5=c6d02da7e6e0d291f699042a5c7a4408 http://cmuir.cmu.ac.th/handle/6653943832/1363 English
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
language English
description This research investigated the performance of the X̄ chart when the heterogeneous variation occurs. Machines are regarded as another source of variations with an assumption that the expectation of the quality characteristics produced by each machine is normally distributed. This study report the derivations of the computation of an effect of false alarm, and/or in different way the computation of an efficiency of X̄ chart in detecting change of process, due to heterogeneous variation. This research study was divided into two cases. If the extra variation is not accounted for during control chart setup, only part of within variation is used, the misplace control limits will be narrower since the variation are underestimated leading to significant false alarm rate. When the extra variation is accounted for, the methodology to determine the control chart is provided. The result shows that the probability of detection and ARLs of the chart has increasing power of detection regardless of the sample size as the extra variation gets larger. © 2008 IEEE.
format Conference or Workshop Item
author Chattinnawat W.
spellingShingle Chattinnawat W.
Effects of heterogeneous variance on X̄ chart
author_facet Chattinnawat W.
author_sort Chattinnawat W.
title Effects of heterogeneous variance on X̄ chart
title_short Effects of heterogeneous variance on X̄ chart
title_full Effects of heterogeneous variance on X̄ chart
title_fullStr Effects of heterogeneous variance on X̄ chart
title_full_unstemmed Effects of heterogeneous variance on X̄ chart
title_sort effects of heterogeneous variance on x̄ chart
publishDate 2014
url http://www.scopus.com/inward/record.url?eid=2-s2.0-62749108436&partnerID=40&md5=c6d02da7e6e0d291f699042a5c7a4408
http://cmuir.cmu.ac.th/handle/6653943832/1363
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