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Elementary Signal Detection Theory$
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Thomas D. Wickens

Print publication date: 2001

Print ISBN-13: 9780195092509

Published to Oxford Scholarship Online: April 2010

DOI: 10.1093/acprof:oso/9780195092509.001.0001

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Likelihoods and likelihood ratios

Likelihoods and likelihood ratios

Chapter:
(p.150) Chapter 9 Likelihoods and likelihood ratios
Source:
Elementary Signal Detection Theory
Author(s):

Thomas D. Wickens

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780195092509.003.0009

Likelihoods — the probabilities treated as a function of their parameters — are a key concept in statistical decision theory. When applied to signal detection, they give a general method for evaluating evidence and determining optimal performance. This chapter describes the likelihood approach to signal-detection theory and how to analyze non-Gaussian distributions of evidence. The theory of the ideal observer is extended to Bayesian methods.

Keywords:   Bayesian observer, Bayes' rule, ideal observer, likelihood ratio, non-Gaussian distributions

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