Improved Shewhart-type Runs-rules Nonparametric Sign Charts

Runs-rules are typically incorporated in control charts to increase their sensitivity to detect small process shifts. However, a drawback of this approach is that runs-rules charts are unable to detect large shifts quickly. In this article improved runs-rules are introduced to the nonparametric sign...

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Bibliographic Details
Published in:Communications in statistics. Theory and methods 2014-11, Vol.43 (22), p.4723-4748
Main Authors: Kritzinger, P., Human, S. W., Chakraborti, S.
Format: Article
Language:English
Subjects:
Average run-length (ARL)
Charts
Control chart
Control charts
Control limit
Distribution-free
Improved runs-rules
Performance assessment
Runs-rules
SPC
Statistical process control
Statistics
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Summary:Runs-rules are typically incorporated in control charts to increase their sensitivity to detect small process shifts. However, a drawback of this approach is that runs-rules charts are unable to detect large shifts quickly. In this article improved runs-rules are introduced to the nonparametric sign chart to address this limitation. Improved runs-rules are incorporated to maintain sensitivity to small process shifts, while having the added ability to detect large shifts in the process more efficiently. Performance comparisons between sign charts with runs-rules and sign charts with improved runs-rules illustrate that the improved runs-rules are superior in performance for large shifts in the process, while maintaining the same sensitivity in the detection of small shifts.
ISSN:0361-0926
1532-415X
DOI:10.1080/03610926.2012.729637