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The American Statistician Volume 70, 2016 - Issue 2
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General

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

Min WangCorrespondence[email protected]
&
Guangying Liu
Pages 195-201 | Received 01 Sep 2014, Published online: 09 Jun 2016

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Marzieh Taheri & Manouchehr Kheradmandnia. (2024) Consecutive Bayes factor for the mean vector. Communications in Statistics - Theory and Methods 53:10, pages 3833-3849.
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Vishal Midya & Jiangang Liao. (2023) Systematic deviation in mean of log bayes factor: Implication and application. Communications in Statistics - Theory and Methods 52:10, pages 3209-3218.
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Shen Zhang, Keying Ye & Min Wang. (2023) A simple consistent Bayes factor for testing the Kendall rank correlation coefficient. Journal of Statistical Computation and Simulation 93:6, pages 888-903.
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Riko Kelter. (2021) Type I and II error rates of Bayesian two-sample tests under preliminary assessment of normality in balanced and unbalanced designs and its influence on the reproducibility of medical research. Journal of Statistical Computation and Simulation 91:15, pages 3184-3206.
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J. G. Liao, Vishal Midya & Arthur Berg. (2021) Connecting and Contrasting the Bayes Factor and a Modified ROPE Procedure for Testing Interval Null Hypotheses. The American Statistician 75:3, pages 256-264.
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Florian Böing-Messing & Joris Mulder. (2021) Bayes Factors for Testing Order Constraints on Variances of Dependent Outcomes. The American Statistician 75:2, pages 152-161.
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Quentin F. Gronau, Alexander Ly & Eric-Jan Wagenmakers. (2020) Informed Bayesian t-Tests. The American Statistician 74:2, pages 137-143.
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Ibrahim Abdelrazeq, Luai Al-Labadi & Ayman Alzaatreh. (2020) On one-sample Bayesian tests for the mean. Statistics 54:2, pages 424-440.
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Richard Le Blanc. (2019) Bayesian Analysis on a Noncentral Fisher–Student’s Hypersphere. The American Statistician 73:2, pages 126-140.
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Mithat Gönen, Wesley O. Johnson, Yonggang Lu & Peter H. Westfall. (2019) Comparing Objective and Subjective Bayes Factors for the Two-Sample Comparison: The Classification Theorem in Action. The American Statistician 73:1, pages 22-31.
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Fang Chen, Qiuchen Hai & Min Wang. (2023) Bayesian hypothesis testing for equality of high-dimensional means using cluster subspaces. Computational Statistics 39:3, pages 1301-1320.
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Marcin Kołodziej, Andrzej Majkowski, Remigiusz J. Rak & Przemysław Wiszniewski. (2023) Convolutional Neural Network-Based Classification of Steady-State Visually Evoked Potentials with Limited Training Data. Applied Sciences 13:24, pages 13350.
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Zhengxiao Wei, Farouk S. Nathoo & Michael E. J. Masson. (2023) Investigating the relationship between the Bayes factor and the separation of credible intervals. Psychonomic Bulletin & Review 30:5, pages 1759-1781.
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Vladimir Vovk & Ruodu Wang. (2023) Confidence and Discoveries with E-values. Statistical Science 38:2.
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Natchalee Srimaneekarn, Pattamon Leelachaikul, Sasipa Thiradilok & Somchai Manopatanakul. (2023) Agreement test of P value versus Bayes factor for sample means comparison: analysis of articles from the Angle Orthodontist journal. BMC Medical Research Methodology 23:1.
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Riko Kelter. (2021) On the Measure-Theoretic Premises of Bayes Factor and Full Bayesian Significance Tests: a Critical Reevaluation. Computational Brain & Behavior 5:4, pages 572-582.
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Riko Kelter. (2021) A New Bayesian Two-Sample t Test and Solution to the Behrens–Fisher Problem Based on Gaussian Mixture Modelling with Known Allocations. Statistics in Biosciences 14:3, pages 380-412.
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Dingming Wu, Xiaolong Wang & Shaocong Wu. (2022) A hybrid framework based on extreme learning machine, discrete wavelet transform, and autoencoder with feature penalty for stock prediction. Expert Systems with Applications 207, pages 118006.
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Riko Kelter. (2020) Bayesian and frequentist testing for differences between two groups with parametric and nonparametric two‐sample tests. WIREs Computational Statistics 13:6.
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Riko Kelter. (2021) Bayesian Hodges-Lehmann tests for statistical equivalence in the two-sample setting: Power analysis, type I error rates and equivalence boundary selection in biomedical research. BMC Medical Research Methodology 21:1.
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Yen-Jung Chen & Robert Li-Wei Hsu. (2021) Understanding the Difference of Teachers’ TLPACK before and during the COVID-19 Pandemic: Evidence from Two Groups of Teachers. Sustainability 13:16, pages 8827.
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Thomas J. Faulkenberry. (2021) The Pearson Bayes factor: An analytic formula for computing evidential value from minimal summary statistics. Biometrical Letters 58:1, pages 1-26.
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Riko Kelter. (2020) Analysis of type I and II error rates of Bayesian and frequentist parametric and nonparametric two-sample hypothesis tests under preliminary assessment of normality. Computational Statistics 36:2, pages 1263-1288.
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Junyu Xuan, Jie Lu & Guangquan Zhang. (2020) Bayesian Nonparametric Unsupervised Concept Drift Detection for Data Stream Mining. ACM Transactions on Intelligent Systems and Technology 12:1, pages 1-22.
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Riko Kelter. (2021) Bayesian model selection in the -open setting — Approximate posterior inference and subsampling for efficient large-scale leave-one-out cross-validation via the difference estimator . Journal of Mathematical Psychology 100, pages 102474.
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Peter M. B. Cahusac. 2020. Evidence‐Based Statistics. Evidence‐Based Statistics 197 218 .
Yanli Zhu, Xiaoyi Han & Ying Chen. (2020) Bayesian estimation and model selection of threshold spatial Durbin model. Economics Letters 188, pages 108956.
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Panagiota I Kontou, Athanasia Pavlopoulou & Pantelis G. Bagos. 2018. Genetic Epidemiology. Genetic Epidemiology 183 210 .

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