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Control charts for the coefficient of variation

Author

Listed:
  • Baocai Guo

    (Zhejiang Gongshang University)

  • Bing Xing Wang

    (Zhejiang Gongshang University)

Abstract

The coefficient of variation (CV) has received an extensive attention in quality control. The existing control charts for monitoring the two-sided changes in the CV do not consider the average run length (ARL) unbiased criterion. In practice, the practitioners prefer the ARL-unbiased control charts. This paper proposes an ARL-unbiased Shewhart-type control chart to monitor the two-sided shifts in the CV. Then an ARL-unbiased synthetic chart in which the conforming run length sub-chart only needs a lower control limit is proposed to improve the performance of the ARL-unbiased Shewhart-type chart. The comparison results show that the proposed synthetic chart outperforms the proposed ARL-unbiased control chart in terms of the ARL. The effects of the parameter estimation on the proposed charts are also studied. Finally, a real example is used to illustrate the proposed control charts.

Suggested Citation

  • Baocai Guo & Bing Xing Wang, 2018. "Control charts for the coefficient of variation," Statistical Papers, Springer, vol. 59(3), pages 933-955, September.
    • Handle: RePEc:spr:stpapr:v:59:y:2018:i:3:d:10.1007_s00362-016-0797-0
    DOI: 10.1007/s00362-016-0797-0
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    References listed on IDEAS

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    1. Berna Yazici & Betül Kan, 2009. "Asymmetric control limits for small samples," Quality & Quantity: International Journal of Methodology, Springer, vol. 43(5), pages 865-874, September.
    2. Chunguang Zhou & Changliang Zou & Yujuan Zhang & Zhaojun Wang, 2009. "Nonparametric control chart based on change-point model," Statistical Papers, Springer, vol. 50(1), pages 13-28, January.
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