Modeling of different covariance structures with the Bayesian method in repeated measurements

Authors : Fatma Yardibi, Mehmet Firat

Pages : 611-626

Doi:10.20289/zfdergi.1341393

View : 64 | Download : 88

Publication Date : 2024-01-05

Article Type : Research Paper

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.
Keywords : MCMC, Karma model, Monte Carlo yöntemleri, Önsel dağılım, Proc BGLIMM

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