Bayesian Data Analysis Monday 9:00 – 10:45 10:45 – 11:00 11:00 – 12:30 12:30 – 1:30 1:30 – 3:15 3:15 – 3:30 3:30 – 5:00 5:00 – 8:30 Tuesday 9:00 – 10:45 10:45 – 11:00 11:00 – 12:30 12:30 – 1:30 1:30 – 3:15 3:15 – 3:30 3:30 – 5:00 June 6, 2016 Bayesian reasoning generally Snack and Refreshment Break Perfidious pp values and the con game of confidence intervals Lunch Break Bayes’ rule, grid approximation, and R. Simple examples to train intuition. Snack and Refreshment Break Markov Chain Monte Carlo and JAGS. Complete programs for Bayesian analysis. Social hour and dinner for all Stats Camp attendees! June 7, 2016 Hierarchical models. Shrinkage. Examples: therapeutic touch, baseball, meta-analysis of extrasensory perception. Snack and Refreshment Break The generalized linear model. Simple linear regression; exponential regression; sinusoidal regression, with autoregression component. Robust versions of all. Lunch Break How to modify a program in JAGS & rjags for a different model. Multiple linear regression. Logistic regression. Ordinal regression. Snack and Refreshment Break Hierarchical regression models: Estimating regression parameters at multiple levels simultaneously. Wednesday June 8, 2016 9:00 – 10:45 Hierarchical model for shrinkage of regression coefficients in multiple regression. 10:45 – Snack and Refreshment Break 11:00 11:00 – Bayesian variable selection in multiple regression 12:30 12:30 – 1:30 Lunch Break 1:30 – 3:15 Model comparison as hierarchical model. The Bayes factor. 3:15 – 3:30 Snack and Refreshment Break 3:30 – 5:00 Two Bayesian ways to assess null values: Estimation vs model comparison. Thursday 9:00 – 10:45 10:45 – 11:00 11:00 – 12:30 12:30 – 1:30 1:30 – 3:15 June 9, 2016 Bayesian hierarchical oneway “ANOVA”. Comparisons and shrinkage. Snack and Refreshment Break Models for unequal variances (“heteroscedasticity”). Lunch Break Bayesian hierarchical two way “ANOVA” with interaction. Interaction contrasts. 3:15 – 3:30 3:30 – 5:00 Snack and Refreshment Break Log-linear models and chi-square test. Friday 9:00 – 10:45 10:45 – 11:00 11:00 – 12:30 12:30 – 1:30 1:30 - ~3:30 June 10, 2016 Power: Probability of achieving the goals of research. Snack and Refreshment Break The goal of achieving precision instead of rejecting/accepting a null value. How to report a Bayesian analysis. Advanced topics as time permits. Lunch Break Individual Consulations
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