Control charts for the coefficient of variation

Baocai Guo () and Bing Xing Wang ()
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Baocai Guo: Zhejiang Gongshang University
Bing Xing Wang: Zhejiang Gongshang University

Statistical Papers, 2018, vol. 59, issue 3, No 5, 933-955

Abstract: 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.

Keywords: Coefficient of variation; Average run length; Unbiased control chart; Parameter estimation (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00362-016-0797-0

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