Date of Award
Master of Arts in Mathematics
First Reader/Committee Chair
Bayesian statistics is an important approach to modern statistical analyses. It allows us to use our prior knowledge of the unknown parameters to construct a model for our data set. The foundation of Bayesian analysis is Bayes' Rule, which in its proportional form indicates that the posterior is proportional to the prior times the likelihood. We will demonstrate how we can apply Bayesian statistical techniques to fit a linear regression model and a hierarchical linear regression model to a data set. We will show how to apply different distributions to Bayesian analyses and how the use of a prior affects the model. We will also make a comparison between the Bayesian approach and the traditional frequentist approach to data analyses.
Olid, Pilar, "Making Models with Bayes" (2017). Electronic Theses, Projects, and Dissertations. 593.
Applied Statistics Commons, Multivariate Analysis Commons, Other Applied Mathematics Commons, Other Mathematics Commons, Other Statistics and Probability Commons, Probability Commons, Statistical Models Commons