%0 Journal Article
%T A Note on the Connection between Likelihood Inference, Bayes Factors, and P-Values
%A Andrew A. Neath
%J Open Access Library Journal
%V 4
%N 1
%P 1-11
%@ 2333-9721
%D 2017
%I Open Access Library
%R 10.4236/oalib.1103292
%X <div style="text-align:justify;">
	<span style="line-height:1.5;">The p-value is widely used for quantifying evidence
in a statistical hypothesis testing problem. A major criticism, however, is
that the p-value does not satisfy the likelihood principle. In this paper, we
show that a p-value assessment of evidence can indeed be defined within the
likelihood inference framework. Included within this framework is a link
between a p-value and the likelihood ratio statistic. Thus, a link between a
p-value and the Bayes factor can also be highlighted. The connection between
p-values and likelihood based measures of evidence broaden the use of the
p-value and deepen our understanding of statistical hypothesis testing.</span>
</div>
%K Hypothesis Testing
%K Likelihood Principle
%K Statistical Evidence
%U http://www.oalib.com/paper/5280393