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贝叶斯方法前后:应用心理学研究中频率主义和贝叶斯混合效应模型的比较

Before/after Bayes: A comparison of frequentist and Bayesian mixed-effects models in applied psychological research.

作者信息

Flores Ronald D, Sanders Christopher A, Duan Sean X, Bishop-Chrzanowski Brittney M, Oyler Danielle L, Shim Hyejin, Clocksin Hayley E, Miller Alex P, Merkle Edgar C

机构信息

University of Missouri, Columbia, Missouri, USA.

出版信息

Br J Psychol. 2022 Nov;113(4):1164-1194. doi: 10.1111/bjop.12585. Epub 2022 Jul 29.

DOI:10.1111/bjop.12585
PMID:35906743
Abstract

Bayesian methods are becoming increasingly used in applied psychological research. Previous researchers have thoroughly written about much of the details already, including the philosophy underlying Bayesian methods, computational issues associated with Bayesian model estimation, Bayesian model development and summary, and the role of Bayesian methods in the so-called replication crisis. In this paper, we seek to provide case studies comparing the use of frequentist methods to the use of Bayesian methods in applied psychological research. These case studies are intended to 'illustrate by example' the ways that Bayesian modelling differs from frequentist modelling and the differing conclusions that one may arrive at using the two methods. The intended audience is applied psychological researchers who have been trained in the traditional frequentist framework, who are familiar with mixed-effects models and who are curious about how statistical results might look in a Bayesian context. Along with our case studies, we provide general opinions and guidance on the use of Bayesian methods in applied psychological research.

摘要

贝叶斯方法在应用心理学研究中的使用越来越广泛。之前的研究者已经详细阐述了许多相关细节,包括贝叶斯方法背后的哲学、与贝叶斯模型估计相关的计算问题、贝叶斯模型的开发与总结,以及贝叶斯方法在所谓的复制危机中所起的作用。在本文中,我们试图提供案例研究,比较在应用心理学研究中使用频率主义方法和贝叶斯方法的情况。这些案例研究旨在通过实例“说明”贝叶斯建模与频率主义建模的不同方式,以及使用这两种方法可能得出的不同结论。目标受众是在传统频率主义框架下接受过培训、熟悉混合效应模型,并且对贝叶斯背景下的统计结果会是什么样子感到好奇的应用心理学研究者。除了案例研究,我们还对贝叶斯方法在应用心理学研究中的使用给出了一般性的观点和指导。

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