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A side sensitive modified group runs control chart to detect shifts in the process mean

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  • M. P. Gadre
  • K. A. Joshi
  • R. N. Rattihalli

Abstract

Gadre and Rattihalli [5] have introduced the Modified Group Runs (MGR) control chart to identify the increases in fraction non-conforming and to detect shifts in the process mean. The MGR chart reduces the out-of-control average time-to-signal (ATS), as compared with most of the well-known control charts. In this article, we develop the Side Sensitive Modified Group Runs (SSMGR) chart to detect shifts in the process mean. With the help of numerical examples, it is illustrated that the SSMGR chart performs better than the Shewhart's X chart, the synthetic chart [12], the Group Runs chart [4], the Side Sensitive Group Runs chart [6], as well as the MGR chart [5]. In some situations it is also superior to the Cumulative Sum chart p9] and the exponentially weighed moving average chart [10]. In the steady state also, its performance is better than the above charts.

Suggested Citation

  • M. P. Gadre & K. A. Joshi & R. N. Rattihalli, 2010. "A side sensitive modified group runs control chart to detect shifts in the process mean," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(12), pages 2073-2087.
    • Handle: RePEc:taf:japsta:v:37:y:2010:i:12:p:2073-2087
    DOI: 10.1080/02664760903222190
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    References listed on IDEAS

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    1. Gadre M. P. & Rattihalli R. N., 2004. "A Group Runs Control Chart for Detecting Shifts in the Process Mean," Stochastics and Quality Control, De Gruyter, vol. 19(1), pages 29-43, January.
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    1. M. Gadre & R. Rattihalli, 2007. "A Side Sensitive Group Runs Control Chart for Detecting Shifts in the Process Mean," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 16(1), pages 27-37, June.
    2. Gadre M. P. & Rattihalli R. N. & Shewade A. V., 2005. "Robustness of Group Runs Control Chart to Non-normality," Stochastics and Quality Control, De Gruyter, vol. 20(1), pages 81-95, January.

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