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A Simple Method for Teaching Bayesian Hypothesis Testing in the Brain and Behavioral Sciences

机译:一种在大脑和行为科学中教授贝叶斯假设检验的简单方法

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摘要

Undergraduate statistics courses in the brain and behavioral sciences tend to be well-grounded in classical null hypothesis significance testing. However, many journals in the fields of neuroscience and psychology are turning away from these classical methods and their reliance on p-values in favor of alternative methods. One such alternative is Bayesian inference, and in particular, the Bayes factor, which indexes the extent to which observed data supports one hypothesis over another. As such, the Bayes factor provides an easy-to-interpret measure of evidence. However, this ease of interpretation is often in stark contrast with the actual ease of computation, even for simple experimental designs. In this paper, I present an easy-to-use formula for computing Bayes factors for two common hypothesis testing situations: the one-way ANOVA and the independent samples t-test. I give examples of its use and recommendations of how to report the results, which should help any teacher of statistics and research methods begin to incorporate Bayesian statistics into quantitative methods courses.
机译:大脑和行为科学方面的本科统计学课程在经典的原假设假设显着性检验中往往有良好的基础。但是,神经科学和心理学领域的许多期刊都放弃了这些经典方法,而是依赖于p值,转而使用其他方法。贝叶斯推论是一种这样的替代方法,尤其是贝叶斯因子,该因子将观察到的数据在某种程度上支持另一种假设的索引。因此,贝叶斯因子提供了一种易于理解的证据度量。但是,即使对于简单的实验设计,这种易于理解的方法也常常与实际的易计算性形成鲜明对比。在本文中,我提出了一种易于使用的公式来计算两种常见假设检验情况的贝叶斯因子:单向方差分析和独立样本t检验。我将举例说明它的用法,并建议如何报告结果,这将有助于任何统计学和研究方法的教师开始将贝叶斯统计学纳入定量方法课程。

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