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Mai, Yujiao; Zhang, Zhiyong – Grantee Submission, 2018
Multilevel modeling is a statistical approach to analyze hierarchical data, which consist of individual observations nested within clusters. Bayesian methods is a well-known, sometimes better, alternative of Maximum likelihood methods for fitting multilevel models. Lack of user-friendly and computationally efficient software packages or programs…
Descriptors: Hierarchical Linear Modeling, Computer Software, Bayesian Statistics, Efficiency
Zhang, Zhiyong; Jiang, Kaifeng; Liu, Haiyan; Oh, In-Sue – Grantee Submission, 2018
To answer the call of introducing more Bayesian techniques to organizational research (e.g., Kruschke, Aguinis, & Joo, 2012; Zyphur & Oswald, 2013), we propose a Bayesian approach for meta-analysis with power prior in this article. The primary purpose of this method is to allow meta-analytic researchers to control the contribution of each…
Descriptors: Bayesian Statistics, Meta Analysis, Correlation, Statistical Analysis
Cain, Meghan K.; Zhang, Zhiyong – Grantee Submission, 2018
Despite its importance to structural equation modeling, model evaluation remains underdeveloped in the Bayesian SEM framework. Posterior predictive p-values (PPP) and deviance information criteria (DIC) are now available in popular software for Bayesian model evaluation, but they remain under-utilized. This is largely due to the lack of…
Descriptors: Bayesian Statistics, Structural Equation Models, Monte Carlo Methods, Sample Size
Zhang, Zhiyong; McArdle, John J.; Wang, Lijuan; Hamagami, Fumiaki – Structural Equation Modeling: A Multidisciplinary Journal, 2008
Bayesian methods are becoming very popular despite some practical difficulties in implementation. To assist in the practical application of Bayesian methods, we show how to implement Bayesian analysis with WinBUGS as part of a standard set of SAS routines. This implementation procedure is first illustrated by fitting a multiple regression model…
Descriptors: Bayesian Statistics, Computer Software, Monte Carlo Methods, Multiple Regression Analysis