Rao-Lovric and the Triwizard Point Null Hypothesis Tournament

Rao-Lovric and the Triwizard Point Null Hypothesis Tournament

Some Remarks on Rao and Lovric’s ‘Testing Point Null Hypothesis of a Normal Mean and the Truth: 21st Century Perspective’

Bayesian point null hypothesis testing via the posterior likelihood ratio

Neyman-Pearson or frequentist inference and Bayes inference are most clearly differentiated by their approaches to point null hypothesis testing. With very large samples, the frequentist and Bayesian conclusions from a classical test of significance for a point null hypothesis can be contradictory, with a small frequentist P -value casting serious doubt on the null hypothesis, but a large Bayes...

The Null Hypothesis

Page 2 of 8 2/26/09 In many sciences including for example, ecology, medicine, and psychology, null hypothesis significance testing (NHST) is the primary means by which the numbers comprising the data from some experiment are translated into conclusions about the question(s) that the experiment was designed to address. In this entry, I make three main points. First, I provide a brief descriptio...

Testing a Point Null Hypothesis against One-Sided for Non Regular and Exponential Families: The Reconcilability Condition to P-values and Posterior Probability

In this paper, the reconcilability between the P-value and the posterior probability in testing a point null hypothesis against the one-sided hypothesis is considered. Two essential families, non regular and exponential family of distributions, are studied. It was shown in a non regular family of distributions; in some cases, it is possible to find a prior distribution function under which P-va...