Some Developments in Bayesian Hierarchical Linear Regression Modeling

Q3 Mathematics

Revista Colombiana De Estadistica Pub Date : 2022-07-14 DOI:10.15446/rce.v45n2.98988

Juan Sosa, Jeimy-Paola Aristizabal

引用次数: 0

Abstract

Considering the flexibility and applicability of Bayesian modeling, in this work we revise the main characteristics of two hierarchical models in a regression setting. We study the full probabilistic structure of the models along with the full conditional distribution for each model parameter. Under our hierarchical extensions, we allow the mean of the second stage of the model to have a linear dependency on a set of covariates. The Gibbs sampling algorithms used to obtain samples when fitting the models are fully described and derived. In addition, we consider a case study in which the plant size is characterized as a function of nitrogen soil concentration and a grouping factor (farm).

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贝叶斯层次线性回归建模的一些进展

考虑到贝叶斯建模的灵活性和适用性，在这项工作中，我们在回归设置中修正了两个层次模型的主要特征。我们研究了模型的完全概率结构以及每个模型参数的完全条件分布。在我们的层次扩展下，我们允许模型第二阶段的平均值对一组协变量具有线性依赖性。充分描述并推导了在拟合模型时用于获得样本的吉布斯采样算法。此外，我们还考虑了一个案例研究，其中植物大小被表征为土壤氮浓度和分组因子（农场）的函数。

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

Revista Colombiana De Estadistica STATISTICS & PROBABILITY-

CiteScore

1.20

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Colombian Journal of Statistics publishes original articles of theoretical, methodological and educational kind in any branch of Statistics. Purely theoretical papers should include illustration of the techniques presented with real data or at least simulation experiments in order to verify the usefulness of the contents presented. Informative articles of high quality methodologies or statistical techniques applied in different fields of knowledge are also considered. Only articles in English language are considered for publication. The Editorial Committee assumes that the works submitted for evaluation have not been previously published and are not being given simultaneously for publication elsewhere, and will not be without prior consent of the Committee, unless, as a result of the assessment, decides not publish in the journal. It is further assumed that when the authors deliver a document for publication in the Colombian Journal of Statistics, they know the above conditions and agree with them.