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Robustness of Group Runs Control Chart to Non-normality

Author

Listed:
  • Gadre M. P.

    (Department of Statistics, Mudhoji College, Phaltan, India)

  • Rattihalli R. N.
  • Shewade A. V.

    (Department of Statistics, Shivaji University, Kolhapur, India)

Abstract

Most of the commonly used control charts for variables have been developed under the assumption that the observations are coming from a normal population. One of them is ‘Group Runs’ GR control chart to detect shifts in the process mean proposed by Gadre and Rattihalli (Economic Quality Control 19: 29–43, 2004). In this article, we study the robustness of GR chart to violation of the assumption of normality. It is observed that, for moderate to large shifts in the process mean, GR chart is insensitive to the non-normality. It is also illustrated that, the GR chart performs better than the synthetic chart, when the process data are not coming from normal distribution.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:ecqcon:v:20:y:2005:i:1:p:81-95:n:10
    DOI: 10.1515/EQC.2005.81
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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. 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.

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