P534: Introduction to Bayesian Data Analysis 2
P533/P534 is a tutorial introduction to doing Bayesian statistics for data analysis. The course is intended to make advanced Bayesian methods genuinely accessible to real graduate students, and even unreal undergraduates (see pre-req's below). Many complete computer programs are provided for you do adapt to your own research. In P533, we start from the basics of probabilities and Bayes' theorem, and gradually work our way through contemporary Monte Carlo methods in the context of simple analyses, building up to simple linear regression and Bayesian versions of single-factor analysis of variance (ANOVA). In P534, we contrast null hypothesis significance testing with Bayesian approaches to null value assessment, as well as Bayesian approaches to power. Then we do a variety of more complicated realistic applications, covering the Bayesian versions of multiple linear regression, logistic regression, analysis of variance, etc., including a look at repeated measures designs.
School/Department: Psychological and Brain Science
Instructor: John Kruschke - firstname.lastname@example.org
Other Contact(s): John Kruschke - email@example.com
Sequence: This is the second of a two-course sequence. The first is P533.
Algebra Required?: No matrix algebra used.
Calculus Required?: Calculus is not needed for assignments; is occasionally used for concepts and explanations.
Day(s) per week offered: 8- week format, with two 75 minute meetings per week.
Recommended follow-up classes: any
Substantive Orientation: any
Statistical Orientation: bayesian, all models.
Books used: Kruschke, J. K. (2011). Doing Bayesian Data Analysis: A Tutorial with R and BUGS. Academic Press.
Applied/Theoretical: applied with thorough explanations
Software Used: R
How the software is used: For data analysis. Students also modify programs to adapt to different applications.
Problem Sets: Weekly.
Data Analysis: As part of assignments.
Keywords: Bayesian, proportions, means, analysis of variance, regression, logistic, ordinal, probit, categorical