Bayesian Hypothesis Testing 1 Running head: BAYESIAN HYPOTHESIS TESTING The Need for Bayesian Hypothesis Testing in Psychological Science

Bayesian Fuzzy Hypothesis Testing with Imprecise Prior Distribution

This paper considers the testing of fuzzy hypotheses on the basis of a Bayesian approach. For this, using a notion of prior distribution with interval or fuzzy-valued parameters, we extend a concept of posterior probability of a fuzzy hypothesis. Some of its properties are also put into investigation. The feasibility and effectiveness of the proposed methods are also cla...

Commentary: The Need for Bayesian Hypothesis Testing in Psychological Science

Comparison between Frequentist Test and Bayesian Test to Variance Normal in the Presence of Nuisance Parameter: One-sided and Two-sided Hypothesis

 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 ...

Confirmation for Deterministic Hypotheses 1 Running head: CONFIRMATION FOR DETERMINISTIC HYPOTHESES Seeking Confirmation is Rational for Deterministic Hypotheses

The tendency to test outcomes that are predicted by our current theory (the confirmation bias) is one of the best-known biases of human decision making. We prove that the confirmation bias is an optimal strategy for testing hypotheses when those hypotheses are deterministic, each making a single prediction about the next event in a sequence. Our proof applies for two normative standards commonl...

A Primer on Bayesian Approaches to Hypothesis-testing

The Bayesian approach to testing hypotheses has two critical elements. First, a Bayesian approach stands the classical (by which I mean frequentist but I can’t bring myself to type these “ist” designations) approach on its head. In the classical approach, our questions revolve around the probability of the data, given a specific hypothesis. In the Bayesian approach, our questions revolve around...