IDEAS home Printed from https://ideas.repec.org/a/spr/stpapr/v59y2018i3d10.1007_s00362-016-0797-0.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00362-016-0797-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00362-016-0797-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Gordon Ross & Dimitris Tasoulis & Niall Adams, 2013. "Sequential monitoring of a Bernoulli sequence when the pre-change parameter is unknown," Computational Statistics, Springer, vol. 28(2), pages 463-479, April.
    2. Zhonghua Li & Peihua Qiu & Snigdhansu Chatterjee & Zhaojun Wang, 2013. "Using p values to design statistical process control charts," Statistical Papers, Springer, vol. 54(2), pages 523-539, May.
    3. Changliang Zou & Zhaojun Wang & Fugee Tsung, 2012. "A spatial rank‐based multivariate EWMA control chart," Naval Research Logistics (NRL), John Wiley & Sons, vol. 59(2), pages 91-110, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:stpapr:v:59:y:2018:i:3:d:10.1007_s00362-016-0797-0. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.