NORMENT, KG Jebsen Centre for Psychosis Research, Division of Mental Health and Addiction, University of Oslo, and Oslo University Hospital, Building 49, Oslo University Hospital, Ullevål, Kirkeveien 166, PO Box 4956, N- 0424, Nydalen, Oslo, Norway.
Department of Psychology, University of California, Davis, Davis, CA, USA.
BMC Psychiatry. 2018 Jun 7;18(1):178. doi: 10.1186/s12888-018-1761-4.
Despite its popularity as an inferential framework, classical null hypothesis significance testing (NHST) has several restrictions. Bayesian analysis can be used to complement NHST, however, this approach has been underutilized largely due to a dearth of accessible software options. JASP is a recently developed open-source statistical package that facilitates both Bayesian and NHST analysis using a graphical interface. This article provides an applied introduction to Bayesian inference with Bayes factors using JASP.
We use JASP to compare and contrast Bayesian alternatives for several common classical null hypothesis significance tests: correlations, frequency distributions, t-tests, ANCOVAs, and ANOVAs. These examples are also used to illustrate the strengths and limitations of both NHST and Bayesian hypothesis testing.
A comparison of NHST and Bayesian inferential frameworks demonstrates that Bayes factors can complement p-values by providing additional information for hypothesis testing. Namely, Bayes factors can quantify relative evidence for both alternative and null hypotheses. Moreover, the magnitude of this evidence can be presented as an easy-to-interpret odds ratio.
While Bayesian analysis is by no means a new method, this type of statistical inference has been largely inaccessible for most psychiatry researchers. JASP provides a straightforward means of performing reproducible Bayesian hypothesis tests using a graphical "point and click" environment that will be familiar to researchers conversant with other graphical statistical packages, such as SPSS.
尽管经典零假设显著性检验(NHST)作为一种推理框架很受欢迎,但它有几个限制。贝叶斯分析可以用来补充 NHST,然而,由于缺乏可用的软件选项,这种方法的应用一直很少。JASP 是一个最近开发的开源统计软件包,它使用图形界面方便进行贝叶斯和 NHST 分析。本文使用 JASP 提供了贝叶斯推理和贝叶斯因子的应用介绍。
我们使用 JASP 比较和对比了几种常见的经典零假设显著性检验的贝叶斯替代方法:相关性、频率分布、t 检验、协方差分析和方差分析。这些例子也用于说明 NHST 和贝叶斯假设检验的优缺点。
NHST 和贝叶斯推理框架的比较表明,贝叶斯因子可以通过为假设检验提供额外的信息来补充 p 值。具体来说,贝叶斯因子可以量化替代假设和零假设的相对证据。此外,这种证据的大小可以表示为易于理解的优势比。
虽然贝叶斯分析并不是一种新方法,但对于大多数精神病学研究人员来说,这种类型的统计推断一直很难获得。JASP 提供了一种简单的方法,可以在熟悉其他图形统计软件包(如 SPSS)的研究人员熟悉的图形“点击”环境中进行可重复的贝叶斯假设检验。