Literature DB >> 20198107

Optimal Hypothesis Testing: From Semi to Fully Bayes Factors.

Albert Vexler1, Chengqing Wu, Kai Fun Yu.   

Abstract

We propose and examine statistical test-strategies that are somewhat between the maximum likelihood ratio and Bayes factor methods that are well addressed in the literature. The paper shows an optimality of the proposed tests of hypothesis. We demonstrate that our approach can be easily applied to practical studies, because execution of the tests does not require deriving of asymptotical analytical solutions regarding the type I error. However, when the proposed method is utilized, the classical significance level of tests can be controlled.

Entities:  

Year:  2010        PMID: 20198107      PMCID: PMC2826851          DOI: 10.1007/s00184-008-0205-4

Source DB:  PubMed          Journal:  Metrika        ISSN: 0026-1335            Impact factor:   1.057


  6 in total

1.  Two-sample density-based empirical likelihood ratio tests based on paired data, with application to a treatment study of attention-deficit/hyperactivity disorder and severe mood dysregulation.

Authors:  Albert Vexler; Wan-Min Tsai; Gregory Gurevich; Jihnhee Yu
Journal:  Stat Med       Date:  2012-06-20       Impact factor: 2.373

2.  Density-based empirical likelihood procedures for testing symmetry of data distributions and K-sample comparisons.

Authors:  Albert Vexler; Hovig Tanajian; Alan D Hutson
Journal:  Stata J       Date:  2014       Impact factor: 2.637

3.  An Exact Density-Based Empirical Likelihood Ratio Test for Paired Data.

Authors:  Albert Vexler; Gregory Gurevich; Alan D Hutson
Journal:  J Stat Plan Inference       Date:  2012-08-06       Impact factor: 1.111

4.  Bayesian Empirical Likelihood Methods for Quantile Comparisons.

Authors:  Albert Vexler; Jihnhee Yu; Nicol Lazar
Journal:  J Korean Stat Soc       Date:  2017-04-10       Impact factor: 0.805

5.  A Simple Density-Based Empirical Likelihood Ratio Test for Independence.

Authors:  Albert Vexler; Wan-Min Tsai; Alan D Hutson
Journal:  Am Stat       Date:  2014       Impact factor: 8.710

6.  Nonparametric Bayes Factors Based On Empirical Likelihood Ratios.

Authors:  Albert Vexler; Wei Deng; Gregory E Wilding
Journal:  J Stat Plan Inference       Date:  2012-09-01       Impact factor: 1.111

  6 in total

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