Abstract
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 efficient 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 modification 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.
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Koutras, M.V., Bersimis, S. & Antzoulakos, D.L. Improving the Performance of the Chi-square Control Chart via Runs Rules. Methodol Comput Appl Probab 8, 409–426 (2006). https://doi.org/10.1007/s11009-006-9754-z
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DOI: https://doi.org/10.1007/s11009-006-9754-z