Bayesian Analysis of Non-normal and Non-independent Mixed Model UsingSkew-Normal/Independent Distributions

Abstract

The main assumptions in liner mixed model are normality and independency of random effect component. Unfortunately, these two assumptions might be unrealistic in some situations. Therefore, in this paper, we will discuss about the analysis of Bayesian analysis of non-normal and non-independent mixed model using skew-normal/independent distributions, and finally, this methodology is illustrated through an application to a triglyceride data from Isfahan’s Mobarakeh Steel Company Cohort Study.

Keywords

• multilevel modeling
• bayesian analysis
• normal independe nt distributions
• triglycerides