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A Robust Control Chart for Monitoring Dispersion

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  • Maoyuan Zhou
  • Wei Geng

Abstract

Most robust control charts in the literature are for monitoring process location parameters, such as mean or median, rather than process dispersion parameters. This paper develops a new robust control chart by integrating a two‐sample nonparametric test into the effective change‐point model. Our proposed chart is easy in computation, convenient to use, and very powerful in detecting process dispersion shifts.

Suggested Citation

  • Maoyuan Zhou & Wei Geng, 2013. "A Robust Control Chart for Monitoring Dispersion," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:279203
    DOI: 10.1155/2013/279203
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    References listed on IDEAS

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    1. Jin Zhang, 2002. "Powerful goodness‐of‐fit tests based on the likelihood ratio," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(2), pages 281-294, May.
    2. Willem Albers & Wilbert Kallenberg, 2004. "Empirical Non-Parametric Control Charts: Estimation Effects and Corrections," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(3), pages 345-360.
    3. 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.
    4. S. Chakraborti & P. van der Laan & M. A. van de Wiel, 2004. "A class of distribution‐free control charts," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(3), pages 443-462, August.
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