Bayes Factors for Forensic Decision Analyses with R

1. Front Matter

   Pages i-xii

   PDF

2. Introduction to the Bayes Factor and Decision Analysis

   • Silvia Bozza, Franco Taroni, Alex Biedermann

   Pages 1-40Open Access

3. Bayes Factor for Model Choice

   • Silvia Bozza, Franco Taroni, Alex Biedermann

   Pages 41-78Open Access

4. Bayes Factor for Evaluative Purposes

   • Silvia Bozza, Franco Taroni, Alex Biedermann

   Pages 79-139Open Access

5. Bayes Factor for Investigative Purposes

   • Silvia Bozza, Franco Taroni, Alex Biedermann

   Pages 141-176Open Access

6. Back Matter

   Pages 177-187

   PDF

Bayes Factors for Forensic Decision Analyses with R provides a self-contained introduction to computational Bayesian statistics using R. With its primary focus on Bayes factors supported by data sets, this book features an operational perspective, practical relevance, and applicability—keeping theoretical and philosophical justifications limited. It offers a balanced approach to three naturally interrelated topics:

• Probabilistic Inference - Relies on the core concept of Bayesian inferential statistics, to help practicing forensic scientists in the logical and balanced evaluation of the weight of evidence.

• Decision Making - Features how Bayes factors are interpreted in practical applications to help address questions of decision analysis involving the use of forensic science in the law.

• Operational Relevance - Combines inference and decision, backed up with practical examples and complete sample code in R, including sensitivity analyses and discussion on how to interpret results in context.

Over the past decades, probabilistic methods have established a firm position as a reference approach for the management of uncertainty in virtually all areas of science, including forensic science, with Bayes' theorem providing the fundamental logical tenet for assessing how new information—scientific evidence—ought to be weighed. Central to this approach is the Bayes factor, which clarifies the evidential meaning of new information, by providing a measure of the change in the odds in favor of a proposition of interest, when going from the prior to the posterior distribution. Bayes factors should guide the scientist's thinking about the value of scientific evidence and form the basis of logical and balanced reporting practices, thus representing essential foundations for rational decision making under uncertainty.

This book would be relevant to students, practitioners, and applied statisticians interested in inference and decision analyses in the critical field of forensic science. It could be used to support practical courses on Bayesian statistics and decision theory at both undergraduate and graduate levels, and will be of equal interest to forensic scientists and practitioners of Bayesian statistics for driving their evaluations and the use of R for their purposes.

This book is Open Access.

• Bayes factor
• scientific evidence
• decision making
• forensic science
• uncertainty management
• probability theory
• forensic
• decision analysis
• Bayesian modeling
• R
• Bayesian statistics
• probabilistic inference
• Open Access

• Department of Economics, Ca’ Foscari University of Venice, Venice, Italy

  Silvia Bozza

• Faculty of Law, Criminal Justice and Public Administration, School of Criminal Justice, University of Lausanne, Lausanne-Dorigny, Switzerland

  Franco Taroni, Alex Biedermann

Silvia Bozza is Associate Professor of Statistics at Ca' Foscari University of Venice (Italy), Department of Economics and Senior Researcher at the University of Lausanne (School of Criminal Justice). Her research interests are mainly focused on Bayesian modelling, decision theory and probabilistic graphical models with applications in forensic science. 


Franco Taroni is Full Professor of Forensic Statistics at the Faculty of Law, Criminal Justice and Public Administration, School of Criminal Justice, of the University of Lausanne (Switzerland). He publishes extensively in the area of probabilistic reasoning, decision making and data analysis in forensic science.


Alex Biedermann is Associate Professor at the Faculty of Law, Criminal Justice and Public Administration, School of Criminal Justice, of the University of Lausanne (Switzerland). He researches and teaches in the area of evidential reasoning and decision making at the intersection between forensic science and the law. His work is multidisciplinary and pertains to forensic science, law and topics in probability and decision theory.