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Frontiers of Statistical Decision Making and Bayesian Analysis pp 113–155Cite as

Bayesian Model Selection and Hypothesis Tests

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Abstract

Model comparison remains an active research frontier in Bayesian analysis. The chapter introduces related specific research problems, including the selection of a number of components in a mixture model and the choice of a training sample size when using virtual simulated training samples. The chapter also discusses an intriguing general property that sets Bayesian testing apart from frequentist testing, by effectively rewarding honest choice of an alternative hypothesis. Cheating does not pay.

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Authors and Affiliations

  1. Department of Statistics, University of Connecticut, 215 Glenbrook Road, U-4120, Storrs, CT, 06269, USA

    Prof. Ming-Hui Chen & Prof. Dipak K. Dey

  2. Department of Biostatistics, The University of Texas, M. D. Anderson Cancer Center, 1515 Holcombe Boulevard, Box 447, Houston, TX, 77030, USA

    Prof. Peter Müller

  3. Department of Statistics, University of Missouri-Columbia, 146 Middlebush Hall, Columbia, MO, 65211, USA

    Prof. Dongchu Sun

  4. Department of Management Science and Statistics, College of Business, University of Texas at San Antonio, San Antonio, TX, 78249, USA

    Prof. Keying Ye

Authors
  1. Prof. Ming-Hui Chen
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  2. Prof. Dipak K. Dey
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  3. Prof. Peter Müller
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  4. Prof. Dongchu Sun
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  5. Prof. Keying Ye
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Corresponding author

Correspondence to Ming-Hui Chen .

Editor information

Editors and Affiliations

  1. Dept. Statistics, University of Connecticut, Glenbrook Road 215, Storrs, 06269-4120, USA

    Ming-Hui Chen

  2. The University of Texas M. D. Anderson C, Pressler St. 1400, Houston, 77030, USA

    Peter Müller

  3. University of Missouri-Columbia, 146 Middlebush Hall, Columbia, 65211, USA

    Dongchu Sun

  4. University of Texas at San Antonio, San Antonio, 78249, USA

    Keying Ye

  5. University of Connecticut, 215 Glenbrook Road, Storrs, 06269-4120, USA

    Dipak K. Dey

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© 2010 Springer New York

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Chen, MH., Dey, D.K., Müller, P., Sun, D., Ye, K. (2010). Bayesian Model Selection and Hypothesis Tests. In: Chen, MH., Müller, P., Sun, D., Ye, K., Dey, D. (eds) Frontiers of Statistical Decision Making and Bayesian Analysis. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6944-6_4

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