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

DOI10.1080/00949655.2021.1925278OpenAlexW3171958848MaRDI QIDQ3389664

Riko Kelter

Publication date: 23 March 2022

Published in: Journal of Statistical Computation and Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00949655.2021.1925278

zbMATH Keywords

Student's \(t\)-testtype I and II error ratesBayesian two-sample testsMann-Whitney's \(U\) testpreliminary testing for normality

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

The evidence interval and the Bayesian evidence value: On a unified theory for Bayesian hypothesis testing and interval estimation

Uses Software

• R
• WRS2
• bayest

Cites Work

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• An evaluation of alternative methods for testing hypotheses, from the perspective of Harold Jeffreys
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• Preliminary Goodness-of-Fit Tests for Normality do not Validate the One-Sample Student t
• The Calculation of Posterior Distributions by Data Augmentation
• RELAXING ASSUMPTIONS IN THE ONE SAMPLE t-TEST
• A simple and effective decision rule for choosing a significance test to protect against non‐normality
• Computing Bayes Factors Using a Generalization of the Savage-Dickey Density Ratio
• On the Use of the Shapiro-Wilk Test in Two-Stage Adaptive Inference for Paired Data from Moderate to Very Heavy Tailed Distributions
• The Weighted Likelihood Ratio, Sharp Hypotheses about Chances, the Order of a Markov Chain
• On Biases in Estimation Due to the Use of Preliminary Tests of Significance
• Bayesian rank-based hypothesis testing for the rank sum test, the signed rank test, and Spearman's ρ
• Moving to a World Beyond “p < 0.05”
• Informed Bayesian t-Tests
• The ASA Statement on p-Values: Context, Process, and Purpose
• A Simple Two-Sample Bayesian t-Test for Hypothesis Testing

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