Bayesian Concentration Ratio and Dissonance

IF 4.9 2区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Bayesian Analysis Pub Date : 2021-01-01 DOI:10.1214/21-ba1277

Wei Shi, Ming-Hui Chen, L. Kuo, P. Lewis

引用次数: 0

Abstract

We propose two new classes of Bayesian measure to investigate conflict among data sets from multiple studies. The first (“concentration ratio”) is used to quantify the amount of information provided by a single data set through the comparison of the prior and its posterior distribution, or two data sets according to their corresponding posterior distributions. The second class (“dissonance”) quantifies the extent of contradiction between two data sets. Both classes are based on volumes of highest density regions. They are well calibrated, supported by simulation, and computational algorithms are provided for their calculation. We illustrate these two classes in three real data applications: a benchmark dose toxicology study, a missing data study related to health effects of pollution, and a pediatric cancer study leveraging adult data.

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贝叶斯集中比与不协调

我们提出了两类新的贝叶斯测度来调查来自多个研究的数据集之间的冲突。第一种(“浓度比”)是通过比较先验分布和后验分布来量化单个数据集提供的信息量，或者根据两个数据集对应的后验分布来量化两个数据集提供的信息量。第二类(“不协调”)量化了两个数据集之间的矛盾程度。这两类都基于最高密度区域的体积。它们经过了很好的校准，仿真支持，并为其计算提供了计算算法。我们通过三个实际数据应用来说明这两个类别:基准剂量毒理学研究，与污染对健康影响相关的缺失数据研究，以及利用成人数据的儿童癌症研究。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bayesian Analysis 数学-数学跨学科应用

CiteScore

6.50

自引率

13.60%

发文量

审稿时长

>12 weeks

期刊介绍： Bayesian Analysis is an electronic journal of the International Society for Bayesian Analysis. It seeks to publish a wide range of articles that demonstrate or discuss Bayesian methods in some theoretical or applied context. The journal welcomes submissions involving presentation of new computational and statistical methods; critical reviews and discussions of existing approaches; historical perspectives; description of important scientific or policy application areas; case studies; and methods for experimental design, data collection, data sharing, or data mining. Evaluation of submissions is based on importance of content and effectiveness of communication. Discussion papers are typically chosen by the Editor in Chief, or suggested by an Editor, among the regular submissions. In addition, the Journal encourages individual authors to submit manuscripts for consideration as discussion papers.