Chapter 8. Likelihood Ratios, Bayesian Methods and Multiple Hypotheses

  1. Robert C. Elston1,
  2. William D. Johnson2

Published Online: 31 OCT 2008

DOI: 10.1002/9780470740781.ch8

Book Title

Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach

Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach

Additional Information

How to Cite

Elston, R. C. and Johnson, W. D. (2008) Likelihood Ratios, Bayesian Methods and Multiple Hypotheses, in Basic Biostatistics for Geneticists and Epidemiologists: A Practical Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470740781.ch8

Author Information

  1. 1

    Department of Epidemiology and Biostatistics, Case Western Reserve University, USA

  2. 2

    Pennington Biomedical Research Center, Louisiana State University System, USA

Publication History

  1. Published Online: 31 OCT 2008
  2. Published Print: 24 OCT 2007

ISBN Information

Print ISBN: 9780470024898

Online ISBN: 9780470740781

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CHAPTER TOOLS

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Keywords:

  • likelihood;
  • likelihood ratio;
  • nuisance parameter;
  • admixture proportion;
  • commingling analysis;
  • frequentist;
  • Bayesian;
  • posterior probability of type I error;
  • posterior probability of type II error;
  • false discovery rate;
  • posterior odds;
  • prior odds;
  • Bayes factor;
  • noninformative;
  • Bayes estimate;
  • credible interval;
  • posterior distribution;
  • experimentwise type I error;
  • familywise type I error;
  • hyperparameter;
  • empirical Bayes

Summary

This chapter contains sections titled:

  • Likelihood Ratios

  • Bayesian Methods

  • Bayes' Factors

  • Bayesian Estimates and Credible Intervals

  • The Multiple Testing Problem

  • Summary

  • Problems

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