Is the p-value a good measure of evidence? An asymptotic consistency criterion

Details Is the p-value a good measure of evidence? An asymptotic consistency criterion Is the p-value a good measure of evidence? An asymptotic consistency criterion

2011-11-21

arxiv.org/abs/1111.4821v1

Mathematics

Statistics Theory

4 pages

Scientific paper

What are the criteria that a measure of statistical evidence should satisfy? It is argued that a measure of evidence should be consistent. Consistency is an asymptotic criterion: the probability that if a measure of evidence in data strongly testifies against a hypothesis H, then H is indeed not true, should go to one, as more and more data appear. The p-value is not consistent, while the ratio of likelihoods is.

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