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新手贝叶斯数据分析。

Bayesian data analysis for newcomers.

机构信息

Department of Psychological and Brain Sciences, Indiana University, 1101 E. 10th St., Bloomington, IN, 47405, USA.

出版信息

Psychon Bull Rev. 2018 Feb;25(1):155-177. doi: 10.3758/s13423-017-1272-1.

DOI:10.3758/s13423-017-1272-1
PMID:28405907
Abstract

This article explains the foundational concepts of Bayesian data analysis using virtually no mathematical notation. Bayesian ideas already match your intuitions from everyday reasoning and from traditional data analysis. Simple examples of Bayesian data analysis are presented that illustrate how the information delivered by a Bayesian analysis can be directly interpreted. Bayesian approaches to null-value assessment are discussed. The article clarifies misconceptions about Bayesian methods that newcomers might have acquired elsewhere. We discuss prior distributions and explain how they are not a liability but an important asset. We discuss the relation of Bayesian data analysis to Bayesian models of mind, and we briefly discuss what methodological problems Bayesian data analysis is not meant to solve. After you have read this article, you should have a clear sense of how Bayesian data analysis works and the sort of information it delivers, and why that information is so intuitive and useful for drawing conclusions from data.

摘要

本文使用几乎没有数学符号的方法解释了贝叶斯数据分析的基本概念。贝叶斯思想已经符合您从日常推理和传统数据分析中获得的直觉。本文提供了一些简单的贝叶斯数据分析示例,说明了如何直接解释贝叶斯分析提供的信息。本文还讨论了贝叶斯方法对零假设评估的作用。本文澄清了初学者在其他地方可能获得的关于贝叶斯方法的误解。我们讨论了先验分布,并解释了它们不是负担,而是重要的资产。我们讨论了贝叶斯数据分析与思维的贝叶斯模型之间的关系,并简要讨论了贝叶斯数据分析不打算解决的方法问题。阅读本文后,您应该清楚地了解贝叶斯数据分析的工作原理以及它提供的信息类型,以及为什么这些信息对于从数据中得出结论如此直观和有用。

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本文引用的文献

1
Equivalence Tests: A Practical Primer for Tests, Correlations, and Meta-Analyses.等效性检验:检验、相关性及荟萃分析实用入门指南
Soc Psychol Personal Sci. 2017 May;8(4):355-362. doi: 10.1177/1948550617697177. Epub 2017 May 5.
2
The Bayesian New Statistics: Hypothesis testing, estimation, meta-analysis, and power analysis from a Bayesian perspective.贝叶斯新统计:从贝叶斯视角看假设检验、估计、元分析和功效分析。
Psychon Bull Rev. 2018 Feb;25(1):178-206. doi: 10.3758/s13423-016-1221-4.
3
Default Bayes Factors for Model Selection in Regression.
生物医学九个子领域中Cox回归中贝叶斯因子的数据驱动先验引出
PLoS One. 2025 May 23;20(5):e0322144. doi: 10.1371/journal.pone.0322144. eCollection 2025.
4
Brain oxygenation monitoring during neonatal stabilization and resuscitation and its potential for improving preterm infant outcomes: a systematic review and meta-analysis with Bayesian analysis.新生儿稳定和复苏期间的脑氧合监测及其改善早产儿预后的潜力:一项采用贝叶斯分析的系统评价和荟萃分析
Eur J Pediatr. 2025 Apr 21;184(5):305. doi: 10.1007/s00431-025-06138-0.
5
Comparative Effectiveness of Active and Reactive Mattresses in Pressure Injury Healing for Older People in Their Own Homes: A Pragmatic Equivalence Randomised-Controlled Study.主动式和反应式床垫对居家老年人压力性损伤愈合的比较效果:一项实用等效性随机对照研究
Nurs Rep. 2025 Mar 19;15(3):111. doi: 10.3390/nursrep15030111.
6
Using Bayesian Hypothesis-testing to Reanalyze Randomized Controlled Trials: Does it Always Tell the Truth, the Whole Truth and Nothing but the Truth?使用贝叶斯假设检验重新分析随机对照试验:它总是能说出全部真相、唯一真相且没有其他真相吗?
Indian J Crit Care Med. 2024 Nov;28(11):1005-1008. doi: 10.5005/jp-journals-10071-24833. Epub 2024 Oct 30.
7
Nicotinic acid improves mitochondrial function and associated transcriptional pathways in older inactive males.烟酸可改善老年不运动男性的线粒体功能及相关转录途径。
Transl Exerc Biomed. 2024 Nov 25;1(3-4):277-294. doi: 10.1515/teb-2024-0030. eCollection 2024 Sep.
8
Prediction of methylphenidate treatment response for ADHD using conventional and radiomics T1 and DTI features: Secondary analysis of a randomized clinical trial.利用传统及影像组学T1和扩散张量成像(DTI)特征预测注意力缺陷多动障碍(ADHD)的哌甲酯治疗反应:一项随机临床试验的二次分析
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9
Daily and Half-yearly Associations between Boundary Diffusion and Parent-adolescent Relationship Quality after Divorce.离婚后边界扩散与亲子关系质量的每日及半年期关联
J Youth Adolesc. 2025 Feb;54(2):383-399. doi: 10.1007/s10964-024-02064-w. Epub 2024 Sep 9.
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The importance of change communication and state motivation when adapting to changes.在适应变化时,变革沟通和状态激励的重要性。
Scand J Psychol. 2025 Feb;66(1):59-75. doi: 10.1111/sjop.13066. Epub 2024 Aug 19.
回归模型选择中的默认贝叶斯因子
Multivariate Behav Res. 2012 Nov;47(6):877-903. doi: 10.1080/00273171.2012.734737.
4
Sequential hypothesis testing with Bayes factors: Efficiently testing mean differences.贝叶斯因子的序贯假设检验:高效检验均值差异。
Psychol Methods. 2017 Jun;22(2):322-339. doi: 10.1037/met0000061. Epub 2015 Dec 14.
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Continued misinterpretation of confidence intervals: response to Miller and Ulrich.对置信区间的持续误解:对米勒和乌尔里希的回应
Psychon Bull Rev. 2016 Feb;23(1):131-40. doi: 10.3758/s13423-015-0955-8.
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Bayesians Caught Smuggling Priors Into Rotterdam Harbor.贝叶斯主义者被抓现行,在先验概率的掩护下潜入鹿特丹港。
Perspect Psychol Sci. 2011 May;6(3):313. doi: 10.1177/1745691611406928.