Recent Teaching Spring 2013 Math 308 - Statistical Inference and Data Analysis II Math 307 and 308 provide instruction in both the mathematical basis for modern statistical techniques as well as their latest and most important applications. These classes are also the core of the Statistics Minor offered by the Mathematics Department. Possible topics: Probability, counting, independence, distributions, random variables, simulation, expectation, variance, covariance, transformations, law of large numbers, Central limit theorem, estimation, efficiency, maximum likelihood, Cramer-Rao bound, the bootstrap. Blackboard Math 542L - Analysis of Variance & Regression A graduate-level introduction to regression and ANOVA models with statistical computing laboratory. Topics: Basics of multivariate statistics, ordinary and generalized least squares estimation in the linear model, the F-test, multiple comparisons and confidence intervals, equivariance and invariance, ridge regression and the lasso, analysis of variance, random effects models, and applications with statistical computing in R. Blackboard Fall 2012 Math 541B - Mathematical Statistics Second semester of the core graduate mathematical statistics sequence. Topics: Hypothesis tests and their optimality theory, the Neyman-Pearson lemma, generalized likelihood ratios, confidence regions, asymptotic theory, jackknife & bootstrap methods, the EM algorithm, and Monte Carlo simulation methods including Markov chain Monte Carlo. Spring 2012 Math 542L - Analysis of Variance & Regression Fall 2011 Math 307 - Statistical Inference and Data Analysis I Math 541B - Mathematical Statistics Spring 2010 Math 542L - Analysis of Variance & Regression Fall 2009 Math 208X - Elementary Probability & Statistics Introductory probability and statistics using the popular Freedman, Pisani, and Purves text. Topics: Descriptive statistics, experimental design and sampling concepts, normal approximation, correlation and regression, basic probability theory, the Central Limit Theorem, confidence intervals, and hypothesis testing. Math 541B - Mathematical Statistics