Tekrarlanan ölçümlerde farklı kovaryans yapılarının Bayes yöntemi ile modellenmesi

Fatma Yardi̇bi̇, M. Firat
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Abstract

Objective: The objective of this study was to obtain solutions by modeling different covariance structures with Bayesian analysis methods in repeated measurement and to show its applicability to data in animal science. Materials and Methods: This article focused on the analysis of the body weight data of 4154 weaned 8-month-old lambs. Repeated measurement analyses based on the mixed effect model were evaluated with Bayesian methods. Models were created for 12 different covariance structures. As the model comparison criterion, Deviation Information Criteria based on the relationship between the fit of the data to the model and the complexity of the model were used. Result: Among 12 different covariance structures, the unstructured covariance structure was determined as a suitable structure for the data of this study. Conclusions: It was concluded that various variance-covariance structures, such as body weight, can be easily modeled in repeated measurement data. Instead of PROC MCMC methods that require complex and computational difficulties and profound coding knowledge, it was presented a relatively user-friendly and fast procedure with its theoretical structure and demonstrated its feasibility. As a result of the literature review, this is the first study in which Bayesian methods solved a wide variety of variance-covariance structure models.
用贝叶斯方法建立重复测量中不同协方差结构的模型
研究目的本研究的目的是利用贝叶斯分析方法对重复测量中的不同协方差结构建模,从而获得解决方案,并展示其在动物科学数据中的适用性。材料与方法:本文重点分析了 4154 只 8 月龄断奶羔羊的体重数据。使用贝叶斯方法评估了基于混合效应模型的重复测量分析。建立了 12 种不同协方差结构的模型。作为模型比较标准,使用了基于数据与模型拟合度和模型复杂度之间关系的偏差信息标准。结果如下在 12 种不同的协方差结构中,非结构化协方差结构被确定为适合本研究数据的结构。结论结论:各种方差协方差结构(如体重)可以很容易地在重复测量数据中建模。与需要复杂计算困难和深厚编码知识的 PROC MCMC 方法相比,本研究提出了一个相对用户友好和快速的程序及其理论结构,并证明了其可行性。通过文献综述,这是贝叶斯方法解决各种方差-协方差结构模型的第一项研究。
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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