A Note on the Connection between Likelihood Inference, Bayes Factors, and P-Values
, PP. 1-11 10.4236/oalib.1103292
Applied Statistical Mathematics
Keywords: Hypothesis Testing, Likelihood Principle, Statistical Evidence
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.
Cite this paper
Neath, A. A. (2017). A Note on the Connection between Likelihood Inference, Bayes Factors, and P-Values.
Open Access Library Journal, 4, e3292. doi: http://dx.doi.org/10.4236/oalib.1103292.
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