Improving the Performance of the Chi-square Control Chart via Runs Rules

The most popular multivariate process monitoring and control procedure used in the industry is the chi-square control chart. As with most Shewhart-type control charts, the major disadvantage of the chi-square control chart, is that it only uses the information contained in the most recently inspecte...

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Bibliographic Details
Published in:Methodology and computing in applied probability 2006-09, Vol.8 (3), p.409-426
Main Authors: Koutras, Markos V., Bersimis, Sotirios, Antzoulakos, Demetrios L.
Format: Article
Language:English
Subjects:
Computation
Control charts
Mathematical analysis
Methodology
Monitoring
Multivariate analysis
Performance enhancement
Quality control
Studies
Vectors (mathematics)
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Summary:The most popular multivariate process monitoring and control procedure used in the industry is the chi-square control chart. As with most Shewhart-type control charts, the major disadvantage of the chi-square control chart, is that it only uses the information contained in the most recently inspected sample; as a consequence, it is not very efcient in detecting gradual or small shifts in the process mean vector. During the last decades, the performance improvement of the chi-square control chart has attracted continuous research interest. In this paper we introduce a simple modication of the chi-square control chart which makes use of the notion of runs to improve the sensitivity of the chart in the case of small and moderate process mean vector shifts. [PUBLICATION ABSTRACT]
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-006-9754-z