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Some Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector
Department of Statistics, Savitribai Phule Pune University, Pune, India
Department of Statistics, Tuljaram Chaturchand College, Baramati, India
- 1 Department of Statistics, Savitribai Phule Pune University, Pune, India
- 2 Department of Statistics, Tuljaram Chaturchand College, Baramati, India
Open Journal of Statistics·Volume 06 (2016)·Pages 1098–1109·Published 14 November 2016·DOI10.4236/ojs.2016.66089
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Abstract
In this article, we propose two control charts namely, the “Multivariate Group Runs’ (MV-GR-M)” and the “Multivariate Modified Group Runs’ (MV-MGR-M)” control charts, based on the multivariate normal processes, for monitoring the process mean vector. Methods to obtain the design parameters and operations of these control charts are discussed. Performances of the proposed charts are compared with some existing control charts. It is verified that, the proposed charts give a significant reduction in the out-of-control “Average Time to Signal” (ATS) in the zero state, as well in the steady state compared to the Hotelling’s T2 and the synthetic T2 control charts.
KeywordsSome Group Runs Based Multivariate Control Charts for Monitoring the Process Mean Vector
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