Measurement error effect on the CUSUM control chart

The performance of the cumulative sum (CUSUM) control chart for the mean when measurement error exists is investigated. It is shown that the CUSUM chart is greatly affected by the measurement error. A similar result holds for the case of the CUSUM chart for the mean with linearly increasing variance...

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Bibliographic Details
Published inJournal of applied statistics Vol. 39; no. 2; pp. 323 - 336
Main Author Maravelakis, Petros E.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 01.02.2012
Taylor and Francis Journals
Taylor & Francis Ltd
SeriesJournal of Applied Statistics
Subjects
Applied statistics
ARL
Charts
Comparative analysis
Control charts
CUSUM
CUSUM charts
Error analysis
Errors
EWMA
Markov chain
measurement error
Measurement errors
SSARL
Statistical process control
Studies
Variance
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ISSN0266-4763
1360-0532
DOI10.1080/02664763.2011.590188

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Summary:The performance of the cumulative sum (CUSUM) control chart for the mean when measurement error exists is investigated. It is shown that the CUSUM chart is greatly affected by the measurement error. A similar result holds for the case of the CUSUM chart for the mean with linearly increasing variance. In this paper, we consider multiple measurements to reduce the effect of measurement error on the charts performance. Finally, a comparison of the CUSUM and EWMA charts is presented and certain recommendations are given.
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ISSN:0266-4763
1360-0532
DOI:10.1080/02664763.2011.590188