ABSTRACT
This chapter systematically explores Bayesian hypothesis testing, and describes the
Bayes Factor as the evidence of the quality of one model specification over another. We
start with a general discussion of the state of hypothesis testing in the social and behavioral
sciences and outline where Bayesian posterior descriptions can replace a number of prob-
lematic practices. The emphasis will be mainly on using Bayesian tools for determining
the strength of evidence, rather than the details of the many differences between Bayesian
and non-Bayesian approaches. For a very clear, and succinct, discussion of the historical
developments in this regard, see Marden (2000).