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A Depth Test for Symmetry

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Goodness-of-Fit Tests and Model Validity

Part of the book series: Statistics for Industry and Technology ((SIT))

Abstract

It was recently shown for arbitrary multivariate probability distributions that angular symmetry is completely characterized by location depth. We use this mathematical result to construct a statistical test of the null hypothesis that the data were generated by a symmetric distribution, and illustrate the test by several real examples.

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Author information

Authors and Affiliations

  1. University of Antwerp, Antwerp, Belgium

    Peter J. Rousseeuw & Anja Struyf

  2. FWO, Belgium

    Peter J. Rousseeuw & Anja Struyf

Authors
  1. Peter J. Rousseeuw
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  2. Anja Struyf
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Editor information

Editors and Affiliations

  1. Laboratoire de Statistique Médicale, Université Rene Descartes-Paris 5, Paris, 75006, France

    C. Huber-Carol

  2. Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, L8S 4K1, Canada

    N. Balakrishnan

  3. Laboratoire Statistique Mathématique, Université Bordeaux 2, Bordeaux Cedex, 33076, France

    M. S. Nikulin

  4. Laboratory of Statistical Methods, V. Steklov Mathematical Institute, St. Petersburg, 191011, Russia

    M. S. Nikulin

  5. Laboratoire de Statistique Appliquée, Université de Bretagne Sud, Vannes, 56000, France

    M. Mesbah

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© 2002 Springer Science+Business Media New York

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Rousseeuw, P.J., Struyf, A. (2002). A Depth Test for Symmetry. In: Huber-Carol, C., Balakrishnan, N., Nikulin, M.S., Mesbah, M. (eds) Goodness-of-Fit Tests and Model Validity. Statistics for Industry and Technology. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0103-8_30

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  • DOI: https://doi.org/10.1007/978-1-4612-0103-8_30

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6613-6

  • Online ISBN: 978-1-4612-0103-8

  • eBook Packages: Springer Book Archive

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