- STAT-S 501 Statistical Methods I: Introduction to Statistics (3 cr.) P: One undergraduate course in statistics. This course takes a systematic approach to the exposition of the general linear model — focusing on correlation, simple linear and multiple regression. Students are introduced to the use of statistical analysis software. The first third of the course consists of a review of statistics, data analysis tools, significance tests, and confidence intervals. Students learn how to think creatively about the use of statistical methods in their own research.

- STAT-S 503 Statistical Methods II: Generalized Linear Models and Categorical Data (3 cr.) P: STAT S501 or one undergraduate course in statistics. This course takes a systematic approach to the exposition of the general linear model — focusing on categorical data. Of primary concern will be models for which the response variable is categorical. Such models include probit, logit, ordered logit, and Poisson regression, among others. Students learn how to think creatively about the use of statistical methods in their own research.

STAT-S 519 A Gentle Introduction to Statistics in R (3cr.) P: Consent of instructor. Introduces basic concepts of probability and statistical inference through careful study of several important procedures. Topics include discrete and continuous random variables, estimation, hypothesis testing, 1- and 2-sample location problems, ANOVA and simple linear regression. Assignments involve applying probability models and/or statistical methods to practical situations and/or actual data.

STAT-S 520 Introduction to Statistics (3 cr.) P: MATH M212, M301, M303, or the equivalent. Basic concepts of data analysis and statistical inference, applied to 1-sample and 2-sample location problems, the analysis of variance, and linear regression. Probability models and statistical methods applied to practical situations and actual data sets from various disciplines. Elementary statistical theory, including the plug-in principle, maximum likelihood, and the method of least squares.

- STAT-S 610 Introduction Statistical Computing (3 cr.) P: STAT S520, or consent of instructor. Introduction to R from a software engineering perspective and an introduction to algorithms commonly used in applied statistics. Optimization algorithms including gradient descent, stochastic gradient descent, the EM algorithm, and topics in convex optimization. Stochastic algorithms including rejection sampling, Metropolis-Hastings, and Gibbs sampling.

- STAT-S 611 Statistical Computing (3 cr.) P: STAT-S 610, or consent of instructor. This course will be an introduction to statistical computing using R and C/C++. It will mainly focus on writing code for solving statistical problems. We will also cover a number of algorithms used in modern statistical computation. Topics may include: computer representation of numbers and finite precision arithmetic, programming in R, advanced R, programing in C/C++, random number generation, Monte Carlo methods, Markov Chain Monte Carlo methods, numerical linear algebra, and numerical optimization. The selection of specific topics and their emphasis can be adjusted to accommodate the class and instructor's interests and preferences.

- STAT-S 612 Managing Statistical Research: The Workflow Of Data Analysis (3 cr.) This course teaches how to efficiently and accurately plan, organize, document, and execute sophisticated quantitative analyses that are reproducible by other researchers. Topics include: 1) Planning research. 2) Documenting work. 3) Organizing, backing up, and archiving files. 4) Writing robust, effective programs for data management and analysis. 5) Using automation (basic programming methods) to work more accurately and efficiently. 6) Preparing data for analysis. 7) Systematically conducting statistical and graphical analyses. 8) Incorporating results into papers and presentations while maintaining their provenance. 9) Collaboration and data analysis. Lectures, exercises and applications are designed to help you develop a workflow for your own research.

- STAT-S 620 Introduction to Statistical Theory (3 cr.) P: STAT S320 and MATH M463 (or equivalent courses). Fundamental concepts and principles of data reduction and statistical inference, including the method of maximum likelihood, the method of least squares, and Bayesian inference. Theoretical justification of statistical procedures introduced in S320.

STAT-S 621 Fundamentals of Statistical Methods and Theory I (3cr.). Part 1 of a 2-semester sequence on fundamental concepts, principles, and techniques of probabilistic/statistical inference. Random variables and probability distributions, expectation, limit laws, parametric vs nonparametric inference, Bayesian vs frequentist inference, point estimation, hypothesis testing, confidence sets, simulation.

STAT-S 622 Fundamentals of Statistical Methods and Theory II (3cr.) Part 2 of a 2-semester sequence on fundamental concepts, principles, and techniques of probabilisitic/statistical inference. Hypothesis testing, Bayesian inference, regression, causal inference, classification, stochastic processes, simulation methods.

STAT-S 625 Nonparametric Theory and Data Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Survey of methods for statistical inference that do not rely on parametric probability models. Statistical functionals, bootstrapping, empirical likelihood. Nonparametric density and curve estimation. Rank and permutation tests.

- STAT-S 626 Bayesian Theory and Data Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Introduction to the theory and practice of Bayesian inference. Prior and posterior probability distributions. Data collection, model formulation, computation, model checking, sensitivity analysis.

- STAT-S 631 Applied Linear Models I (3 cr.) P: STAT S320 and MATH M301 or M303 or S303 (or equivalent courses), or consent of instructor. Part I of a 2-semester sequence on linear models, emphasizing linear regression and the analysis of variance, including topics from the design of experiments and culminating in the general linear model.

- STAT-S 632 Applied Linear Models II (3 cr.) P: STAT S631, or consent of instructor. Part II of a 2-semester sequence on linear models, emphasizing linear regression and the analysis of variance, including topics from the design of experiments and culminating in the general linear model.

- STAT-S 637 Categorical Data Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. The analysis of cross classified categorical data. Loglinear models; regression models in which the response variable is binary, ordinal, nominal, or discrete. Logit, probit, multinomial logit models; logistic and Poisson regression. Equivalent to EDUC Y637.

- STAT-S 639 Multilevel Models (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Introduction to the general multilevel model with an emphasis on applications. Discussion of hierarchical linear models, and generalizations to nonlinear models. How such models are conceptualized, parameters estimated and interpreted. Model fit via software. Major emphasis throughout the course will be on how to choose an appropriate model and computational techniques. Equivalent to EDUC Y639.

- STAT-S 640 Multivariate Data Analysis (3 cr.) P: STAT-S 632, or consent of instructor. Elementary treatment of multivariate normal distributions, classical inferential techniques for multivariate normal data, including Hotelling’s T² and MANOVA. Discussion of analytic techniques such as principal component analysis, canonical correlation analysis, discriminant analysis, and factor analysis. Equivalent to PSY P654.

- STAT-S 645 Covariance Structure Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Path analysis. Introduction to multivariate multiple regression, confirmatory factor analysis, and latent variables. Structural equation models with and without latent variables. Mean-structure and multi-group analysis. Equivalent to EDUC Y645.

- STAT-S 650 Time Series Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Techniques for analyzing data collected at different points in time. Probability models, forecasting methods, analysis in both time and frequency domains, linear systems, state-space models, intervention analysis, transfer function models and the Kalman filter. Stationary processes, autocorrelations, partial autocorrelations, autoregressive, moving average, and ARMA processes, spectral density of stationary processes, periodograms, estimation of spectral density. Course equivalent to MATH M568.

- STAT-S 655 Longitudinal Data Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Introduction to methods for longitudinal data analysis; repeated measures data. The analysis of change—models for one or more response variables, possibly censored. Association of measurements across time for both continuous and discrete responses. Course is equivalent to EDUC Y655.

- STAT-S 660 Sampling (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Design of surveys and analysis of sample survey data. Simple random sampling, ratio and regression estimation, stratified and cluster sampling, complex surveys, nonresponse bias.

- STAT-S 670 Exploratory Data Analysis (3 cr.) P: Two statistics courses at the graduate level, or consent of instructor. Numerical and graphical techniques for summarizing and displaying data. Exploration versus confirmation. Connections with conventional statistical analysis and data mining. Applications to large data sets.

- STAT-S 675 Statistical Learning and High-Dimension Analysis (3 cr.) P: STAT S640 or CSCI-B 555 or CSCI-B 565, or consent of instructor. Dataanalytic methods for exploring the structure of high-dimensional data. Graphical methods, linear and nonlinear dimension reduction techniques, manifold learning. Supervised, semisupervised, and unsupervised learning.

- STAT-S 676 Statistical Learning: Model Selection (3 cr.) P: STAT-S 675 or consent of instructor. This course is second semester course in high dimensional data analysis focused on model selection. The course covers the trade off between model fidelity to the observed data and penalization for model complexity. All methods from the course will be applied to real datasets.

- STAT-S 681 Topics in Applied Statistics (1-3 cr.) P: Consent of instructor. Careful study of a statistical topic from an applied perspective. May be repeated with different topics.

- STAT-S 682 Topics in Mathematical Statistics (3 cr.) P: Consent of instructor. Careful study of a statistical topic from a theoretical perspective. May be repeated with different topics.

- STAT-S 690 Statistical Consulting (4 cr.) P: Consent of instructor. Development of effective consulting skills, including the conduct of consulting sessions, collaborative problem-solving, using professional resources, and preparing verbal and written reports. Interactions with clients will be coordinated by the Indiana Statistical Consulting Center.

STAT-S 692 Internship in Statistical Consulting (3 cr.) P: STAT S690 and permission of Director of Graduate Studies. One semester internship at the Indiana Statistical Consulting Center (ISCC). Students work on actual consulting problems under the direct supervision of professional statisticians.

STAT-S 693 Professional Internship/Practicum (3 cr.) Provides for participation in graduate level professional training and internship experience.

- STAT-S 695 Readings in Statistics (1-3 cr.) P: Consent of instructor. Supervised reading of a topic in statistics. May be repeated with different topics.

- STAT-S 710 Statistical Computing (3 cr.) P: STAT S620, or consent of instructor. Survey of numerical methods in statistics. Matrix factorizations and algorithms for linear regression. Nonlinear optimization, maximum likelihood and nonlinear regression. Pseudorandom number generation and Monte Carlo methods.

- STAT-S 721 Advanced Statistical Theory I (3 cr.) P: S620, some knowledge of elementary measure theory, and/or consent of the instructor. Mathematical introduction to major areas of statistical theory and practice, including statistical models, sufficiency, likelihood inference, estimation and testing, Bayesian inference, decision theory, equivariance, and optimality of test statistics.

- STAT-S 722 Advanced Statistical Theory II (3 cr.) P: S721 or consent of the instructor. A continuation of S721. A mathematical introduction to major areas of statistical theory and practice including multinomial models, canonical linear models, exponential families, asymptotic theory, and general linear models.

- STAT-S 730 Theory of Linear Models (3 cr.) P: STAT S620, or consent of instructor. Theory of the general linear model. Distribution theory, linear hypotheses, the Gauss-Markov theorem, testing and confidence regions. Application to regression and to analysis of variance.

- STAT-S 740 Multivariate Statistical Theory (3 cr.) P: STAT S721 and S722, or consent of the instructor. Multivariate normal distributions. Multivariate linear normal models, estimation and testing. Wishart distributions and models. Inference for the covariance matrix. Eigenvalues, including canonical correlations and principal components/factor analysis.

- STAT-S 771 Advanced Data Analysis I (3 cr.) P: Permission of Director of Graduate Studies. This course introduces Ph.D. students in th Department of Statistics to an in-depth cross-disciplinary research experience, emphasizing the role of statistics in solving scientific, technological, or policy problem. Each student identifies a research project, forms an advisory committee, and provides interim written and oral progress reports throughout the remainder of the semester.

- STAT-S 772 Advanced Data Analysis II (3 cr.) P: STAT-S 771 Second semester of a two-semester sequence. Ph.D. students in the Department of Statistics complete the cross-disciplinary projects they began in STAT-S 771.

- STAT-S 781 Advanced Topics in Applied Statistics (3 cr.) P: Consent of the instructor. Careful study of an advanced statistical topic from an applied perspective. As topics vary, this course may be repeated for credit.

- STAT-S 782 Advanced Topics in Mathematical Statistics (3 cr.) P: Consent of the instructor. Careful study of an advanced statistical topic from a mathematical or theoretical perspective. As topics vary, this course may be repeated for credit.

- STAT-S 785 Seminar on Statistical Theory (3 cr.) P: Ph.D. standing in Department of Statistics. Professional development for Ph.D. students in statistics. Topics in statistical theory will be used to provide students with experience in preparing presentations, posters, referee reports, grant proposals, etc.

- STAT-S 799 Research in Statistics (1-6 cr.) P: Consent of the instructor. Research in statistics.