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Multiple Hypotheses Testing

  • Conference paper
Book cover Computational Aspects of Model Choice

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

The paper is mainly concerned with multiple testing procedures which control a given multiple level α. General concepts for this purpose are the closure test and a modification which is independent of the special structure of hypotheses and tests. We consider improvements of this modification using information about the logical dependences (redundancies) within the system of hypotheses and present an efficient algorithm. Finally, we discuss some problems which are specific for hierarchical systems of hypotheses, e.g. in model search.

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Author information

Authors and Affiliations

  1. University of Mainz, Mainz, Germany

    Gerhard Hommel & Gudrun Bernhard

  2. Institut für Medizinische Statistik und Dokumentation, Universität Mainz, Langenbeckstrasse 1, W-6500, Mainz, Germany

    Gerhard Hommel & Gudrun Bernhard

Authors
  1. Gerhard Hommel
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  2. Gudrun Bernhard
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Editor information

Editors and Affiliations

  1. Department of Mathematical Statistics and Probability, Charles University, Sokolovská 83, 18600, Prague 8, CSFR

    Jaromír Antoch

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© 1993 Physica-Verlag Heidelberg

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Hommel, G., Bernhard, G. (1993). Multiple Hypotheses Testing. In: Antoch, J. (eds) Computational Aspects of Model Choice. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-642-99766-2_10

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  • DOI: https://doi.org/10.1007/978-3-642-99766-2_10

  • Publisher Name: Physica-Verlag HD

  • Print ISBN: 978-3-7908-0652-6

  • Online ISBN: 978-3-642-99766-2

  • eBook Packages: Springer Book Archive

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