%0 Journal Article
%A falahifard, b
%A chinipardaz, r
%A habibelahitabar, s
%T Comparison between Frequentist Test and Bayesian Test to Variance Normal in the Presence of Nuisance Parameter: One-sided and Two-sided Hypothesis
%J Mathematical Researches
%V 2
%N 2
%U http://mmr.khu.ac.ir/article-1-2583-en.html
%R 10.29252/mmr.2.2.23
%D 2017
%K P-value, nuisance parameter, lower bound of posterior probability,
%X This article is concerned with the comparison P-value and Bayesian measure for the variance of Normal distribution with mean as nuisance paramete. Firstly, the P-value of null hypothesis is compared with the posterior probability when we used a fixed prior distribution and the sample size increases. In second stage the P-value is compared with the lower bound of posterior probability when the prior distribution is belonged to a class of reasonable distributions. It was shown that even for fixed sample size the P-value is less than the lower bound. This is not the case for one-sided hypothesis. There is a reconcilability between these two criterion.
%> http://mmr.khu.ac.ir/article-1-2583-en.pdf
%P 23-38
%& 23
%!
%9 S
%L A-10-241-20
%+
%G eng
%@ 2588-2546
%[ 2017