6. Hypothesis Testing

  1. Franco Taroni1,
  2. Silvia Bozza2,
  3. Alex Biedermann1,
  4. Paolo Garbolino3 and
  5. Colin Aitken4

Published Online: 9 APR 2010

DOI: 10.1002/9780470665084.ch6

Data Analysis in Forensic Science: A Bayesian Decision Perspective

Data Analysis in Forensic Science: A Bayesian Decision Perspective

How to Cite

Taroni, F., Bozza, S., Biedermann, A., Garbolino, P. and Aitken, C. (2010) Hypothesis Testing, in Data Analysis in Forensic Science: A Bayesian Decision Perspective, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9780470665084.ch6

Author Information

  1. 1

    School of Criminal Justice, University of Lausanne, Switzerland

  2. 2

    Department of Statistics, University Ca' Foscari, Venice, Italy

  3. 3

    Faculty of Arts and Design, IUAV University, Venice, Italy

  4. 4

    School of Mathematics, University of Edinburgh, UK

Publication History

  1. Published Online: 9 APR 2010
  2. Published Print: 9 APR 2010

ISBN Information

Print ISBN: 9780470998359

Online ISBN: 9780470665084

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Keywords:

  • Bayesian statistics;
  • hypothesis testing;
  • inferential statistics;
  • one-sided hypothesis testing;
  • two-sided alternative hypothesis

Summary

The concept of testing hypotheses is fundamental in statistics. This chapter explains the inferential procedure of the Bayesian paradigm and associated consequences (or losses) when testing hypotheses. It is often argued that there should be no testing since the posterior distribution contains all the knowledge of interest and is thus sufficient for making conclusions about any question under investigation. Notice however that such a line of reasoning refers to a partial Bayesian approach. A full Bayesian point of view deals with decision making for which purpose loss (or utility) functions are introduced. Both of these approaches will be developed and illustrated through examples. The chapter also presents the notion of “evidence” in the context of statistical evidence.

Controlled Vocabulary Terms

Bayesian statistics; hypothesis testing; inferential statistics