A Simple Two-Sample Bayesian t-Test for Hypothesis Testing

Objective Bayesian Two Sample Hypothesis Testing for Online Controlled Experiments

As A/B testing gains wider adoption in the industry, more people begin to realize the limitations of the traditional frequentist null hypothesis statistical testing (NHST). The large number of search results for the query “Bayesian A/B testing” shows just how much the interest in the Bayesian perspective is growing. In recent years there are also voices arguing that Bayesian A/B testing should ...

Two Sample Hypothesis Testing for Functional Data

A nonparametric testing procedure is proposed for testing the hypothesis that two samples of curves observed at discrete grids and with noise have the same underlying distribution. Our method relies on representing the curves using a common orthogonal basis expansion. The approach reduces the dimension of the testing problem in a way that enables the application of traditional nonparametric uni...

A Bayesian Chi-Squared Test for Hypothesis Testing

A new Bayesian test statistic is proposed to test a point null hypothesis based on a quadratic loss. The proposed test statistic may be regarded as the Bayesian version of Lagrange multiplier test. Its asymptotic distribution is obtained based on a set of regular conditions and follows a chi-squared distribution when the null hypothesis is correct. The new statistic has several important advant...

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...

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