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Bayes Factors Based on Test Statistics Under Order Restrictions

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Bayesian Evaluation of Informative Hypotheses

Part of the book series: Statistics for Social and Behavioral Sciences ((SSBS))

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Abstract

The subject of statistical inference under order restrictions has been studied extensively since Bartholomew’s likelihood-ratio test for means under restricted alternatives [1]. Order restrictions explicitly introduce scientific knowledge into the mathematical formulation of the problem, which can improve inference.

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Author information

Authors and Affiliations

  1. Bioinformatics and Biostatistics Unit, Institute for Research in Biomedicine of Barcelona, Josep Samitier 1-5, 08028, Barcelona, Spain

    David Rossell

  2. Department of Biostatistics, The University of Texas M. D. Anderson Cancer Center, 1515 Holcombe Blvd., 77030 TX, Houston, TX, USA

    Veerabhadran Baladandayuthapani & Valen E. Johnson

Authors
  1. David Rossell
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  2. Veerabhadran Baladandayuthapani
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  3. Valen E. Johnson
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Corresponding author

Correspondence to David Rossell .

Editor information

Editors and Affiliations

  1. Department of Methods and Statistics, Faculty of Social Sciences, University of Utrecht, P.O. Box 80140, 3508 TC, Utrecht, The Netherlands

    Herbert Hoijtink  & Irene Klugkist  & 

  2. Department of Clinical and Health Psychology, Faculty of Social Sciences, University of Utrecht, P.O. Box 80140, 3508 TC, Utrecht, The Netherlands

    Paul A. Boelen

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Rossell, D., Baladandayuthapani, V., Johnson, V.E. (2008). Bayes Factors Based on Test Statistics Under Order Restrictions. In: Hoijtink, H., Klugkist, I., Boelen, P.A. (eds) Bayesian Evaluation of Informative Hypotheses. Statistics for Social and Behavioral Sciences. Springer, New York, NY. https://doi.org/10.1007/978-0-387-09612-4_6

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