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title: "Schedule :: Advanced Biological Statistics II: Bio 610, Winter 2018" author: "Peter Ralph" date: "9 January 2018" ...

Course schedule

The tentative schedule (subject to adjustment, especially towards the end) is (K referes to Kruschke):

Week 1 (1/9)

: (slides) Recap of probability and likelihood; central limit theorem ($\sqrt{n}$); Bayes' rule. The beta-binomial distribution: putting a prior on the probability of success. (K ch. 4, 5, 6)

- **Homework:** (due 1/16) [MLE for beta-binomial](hws/week_1.html) :: [solution](hws/week_1_soln.html)
- **Demo:** (from 1/11) [Beta-binomial analysis](demos/beta_binom.html)

Week 2 (1/16)

: (slides) Introduction to MCMC and Stan for sampling from posterior distributions, hierarchical models for binary responses, shrinkage. (K ch. 7, 9 and Intro to Stan)

- **Homework:** (due 1/26) [Error rates in ancient DNA](hws/week_2.html) :: [solution](hws/week_2_soln.html)

Week 3 (1/23)

: (slides) Assessing power, model choice, and using simulation: looking more at shrinkage, posterior predictive sampling, model comparison. Logistic regression: robustly, including categorical factors. (K ch 13 and 21, with a bit of chapters 10-12)

Week 4 (1/30)

: (slides) Assessing power, model choice, and using simulation: looking more at shrinkage, : Count data: using Poisson regression and hierarchical modeling to fit overdispersion. Model selection by crossvalidation. (K ch 24)

- **Homework:** (due 2/9) [Coverage](hws/week_4.html)

Week 5 (2/6)

: (slides) Continuous ("metric") data: groupwise means, univariate regression, robust regression by adjusting the noise distribution, friends of ANOVA. (K ch 16, 17, 18)

- **Homework:** (due 2/19) [Pipefish](hws/week_6.html)

Week 6 (2/13)

: (slides) Sparsifying priors and variable selection. An in-depth applied example, cumulative. (K ch 19, 20)

Week 7 (2/20)

: (slides) Optimization and variational Bayes in Stan. Review of model building.

- **Homework:** (due 2/27) [Diabetes](hws/week_7.html)

Week 8 (2/27)

: (slides) Clustering and categorization: nonnegative matrix factorization. Also: t-SNE in Stan.

Week 9 (3/6)

: (slides) Time series: modeling local dependency, smoothing. Conditional independence.

Week 10 (3/13)

: (slides) Spatial and network covariance: sharing power between related locations. Priors to constrain visualization (e.g., regularized PCA).

And, finally: a review.