Multivariate statistical process control charts: an overview

Authors

  • S. Bersimis,

    1. Department of Statistics and Insurance Science, University of Piraeus, 80 Karaoli and Dimitriou Street, Piraeus 18534, Greece
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  • S. Psarakis,

    1. Department of Statistics, Athens University of Economics and Business, 76 Patision Street, Athens 10434, Greece
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  • J. Panaretos

    Corresponding author
    1. Department of Statistics, Athens University of Economics and Business, 76 Patision Street, Athens 10434, Greece
    • Department of Statistics, Athens University of Economics and Business, 76 Patision Street, Athens 10434, Greece
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    • Currently visiting at the Department of Statistics, University of California, Berkeley, CA, U.S.A.


Abstract

In this paper we discuss the basic procedures for the implementation of multivariate statistical process control via control charting. Furthermore, we review multivariate extensions for all kinds of univariate control charts, such as multivariate Shewhart-type control charts, multivariate CUSUM control charts and multivariate EWMA control charts. In addition, we review unique procedures for the construction of multivariate control charts, based on multivariate statistical techniques such as principal components analysis (PCA) and partial least squares (PLS). Finally, we describe the most significant methods for the interpretation of an out-of-control signal. Copyright © 2006 John Wiley & Sons, Ltd.

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