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A comparison of robust alternatives to Hotelling's T2 control chart

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  • J. L. Alfaro
  • J. Fco. Ortega

Abstract

Control charts are one of the widest used techniques in statistical process control. In Phase I, historical observations are analysed in order to construct a control chart. Because of the existence of multiple outliers that are undetected by control charts such as Hotelling's T2 due to the masking effect, robust alternatives to Hotelling's T2 have been developed based on minimum volume ellipsoid (MVE) estimators, minimum covariance determinant (MCD) estimators, reweighted MCD estimators or trimmed estimators. In this paper, we use a simulation study to analyse the performance of each alternative in various situations and offer guidance for the correct use of each estimator.

Suggested Citation

  • J. L. Alfaro & J. Fco. Ortega, 2009. "A comparison of robust alternatives to Hotelling's T2 control chart," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(12), pages 1385-1396.
  • Handle: RePEc:taf:japsta:v:36:y:2009:i:12:p:1385-1396
    DOI: 10.1080/02664760902810813
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    References listed on IDEAS

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    1. Hawkins, Douglas M., 1994. "The feasible solution algorithm for the minimum covariance determinant estimator in multivariate data," Computational Statistics & Data Analysis, Elsevier, vol. 17(2), pages 197-210, February.
    2. Cook, R. D. & Hawkins, D. M. & Weisberg, S., 1993. "Exact iterative computation of the robust multivariate minimum volume ellipsoid estimator," Statistics & Probability Letters, Elsevier, vol. 16(3), pages 213-218, February.
    3. Croux, Christophe & Haesbroeck, Gentiane, 1999. "Influence Function and Efficiency of the Minimum Covariance Determinant Scatter Matrix Estimator," Journal of Multivariate Analysis, Elsevier, vol. 71(2), pages 161-190, November.
    4. Hawkins, Douglas M. & Olive, David J., 1999. "Improved feasible solution algorithms for high breakdown estimation," Computational Statistics & Data Analysis, Elsevier, vol. 30(1), pages 1-11, March.
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    Cited by:

    1. Croux, C. & Gelper, S. & Mahieu, K., 2010. "Robust Control Charts for Time Series Data," Discussion Paper 2010-107, Tilburg University, Center for Economic Research.
    2. Croux, C. & Gelper, S. & Mahieu, K., 2010. "Robust Control Charts for Time Series Data," Other publications TiSEM 229a21da-3d8a-4764-9d78-5, Tilburg University, School of Economics and Management.
    3. F. Jamaluddin* & H. H. Ali & S. S. Syed Yahaya & Z. Zain, 2018. "The Performance of Robust Multivariate Ewma Control Charts," The Journal of Social Sciences Research, Academic Research Publishing Group, pages 52-58:6.

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