Sample size determination for Bayesian ANOVAs with informative hypotheses

Frontiers in Psychology

article

Qianrao Fu¹  Mirjam Moerbeek²  Herbert Hoijtink² 

[1] School of Management, Xi'an University of Architecture and Technology;Department of Methodology and Statistics, Utrecht University

关键词: Bayes factor;    Bayesian ANOVAs;    informative hypothesis;    Sample Size;    SSDbain;   

DOI  :  10.3389/fpsyg.2022.947768

学科分类：社会科学、人文和艺术（综合）

来源: Frontiers

【 摘 要 】

Researchers can express their expectations with respect to the group means in an ANOVA model through equality and order constrained hypotheses. This paper introduces the R package SSDbain, which can be used to calculate the sample size required to evaluate (informative) hypotheses using the Approximate Adjusted Fractional Bayes Factor (AAFBF) for one-way ANOVA models as implemented in the R package bain. The sample size is determined such that the probability that the Bayes factor is larger than a threshold value is at least \eta when either of the hypotheses under consideration is true. The Bayesian ANOVA, Bayesian Welch’s ANOVA, and Bayesian robust ANOVA are available. Using the R package SSDbain and/or the tables provided in this paper, researchers in the social and behavioral sciences can easily plan the sample size if they intend to use a Bayesian ANOVA.

【 授权许可】

CC BY