3470:  Statistics Graduate Course Descriptions

550 PROBABILITY (3 credits) - Prerequisite: Appropriate background is one semester of calculus or equivalent. Introduction to probability, random variables and probability distributions, expected value, sums of random variables, Markov processes.  May not be used to meet graduate major requirements in statistics.

551 THEORETICAL STATISTICS I (3 credits) - Sequential. Prerequisite: Appropriate background is three semesters of calculus or equivalent. Covers elementary combinatorial probability theory, probability distributions (discrete and continuous), expectation and variance, bivariate and multivariate probability distributions, distributions of functions of random variables.

552 THEORETICAL STATISTICS II (3 credits) - Sequential. Prerequisite: C or better in Stat-451/551. Covers sampling distributions, point estimation and properties of point estimators, sufficiency, Rao-Blackwell method and MVUE, methods of obtaining point estimators, interval estimation, hypothesis testing, Neyman-Pearson theory of optimal tests.

561 APPLIED STATISTICS (4 credits) - Prerequisite: Appropriate background is two semesters of calculus or equivalent. Applications of statistical theory to natural and physical sciences and engineering, including probability distributions, interval estimation, hypotheses testing (parametric and nonparametric), and simple linear regression and correlation.  May not be used to meet graduate major requirements in statistics.

562 APPLIED REGRESSION AND ANOVA (4 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Applications of the techniques of regression and multifactor analysis of variance.  May not be used to meet graduate major requirements in statistics.

565 DESIGN OF SAMPLE SURVEYS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Design and analysis of frequently used sample survey techniques.

570 BIOSTATISTICS AND EPIDEMIOLOGY (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Biostatistics and Epidemiological methods for biological and medical studies, including ANOVA, analysis of repeated measures, disease-related measures, log-linear models, and clinical trials.

571 INTRODUCTION TO ACTUARIAL SCIENCE (3 credits) - Prerequisite: Appropriate background is two semester of calculus.  Interest theory and financial mathematics used in actuarial science. Topics include time value of money, annuities, loans, bonds, cash flows and immunizations, interest rate swaps.

572 ACTUARIAL MODELS (3 credits) - Prerequisite: Appropriate background is a course in theoretical statistics.  Study of severity, frequency and aggregate models used in actuarial applications. Calibration and evaluation, credibility procedures, fundamental principles of pricing in short-term insurance coverage.

573 SURVIVAL ANALYSIS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Basic concepts in survival analysis, censoring and data truncation, estimation of survival models, nonparametric hazard and survival function estimation, comparing survival times between groups.

576 BAYESIAN STATISTICS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent.  Basic concepts in Bayesian theory, sampling methods, MCMC, hierarchical modeling. Computer applications of Bayesian statistics to natural and physical sciences and engineering.

577 TIME SERIES ANALYSIS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent.  Stationarity. ARIMA modeling with seasonality. Parameter estimation, model diagnostics and forecasting. Regression with autocorrelated errors. Cointegration and Multivariate ARMA models. Heteroscedasticity and Long-memory models.

580 STATISTICAL DATA MANAGEMENT (3 credits) - Prerequisites: Appropriate background is one semester of applied statistics or equivalent. Students learn data organization and structures, design of statistical databases, statistical software analysis, importing and exporting of data between software, and missing data analysis.

583 ADVANCED STATISTICAL COMPUTING (3 credits) - Prerequisite:  Appropriate background is one semester of applied statistics or equivalent.  Topics include data management, random number generation, resampling methods, numerical optimization, Markov Chain Monte Carlo, smoothing methods, data mining: clustering and classification.

585 APPLIED ANALYTICS - DECISION TREES (3 credits) - Prerequisite:  Appropriate background is one semester of applied statistics or equivalent.  Selected topics in predictive modeling using CHAID, classification and regression trees, logistic regression and neural networks.

586 SPATIAL-TEMPORAL STATISTICS (3 credits) - Prerequisite:  Appropriate background is one semester of applied statistics or equivalent. Basic concepts of geostatistic, point pattern, area unit. Spatial-temporal modeling in high dimensional data. Computer applications to natural and physical sciences and engineering.

589 TOPICS IN STATISTICS (1-3 credits; may be repeated for a total of six credits) - Prerequisite: permission. Selected topics in advanced statistics, including quality control, reliability, sampling techniques, decision theory, advanced inference, stochastic processes and others.

591 WORKSHOP IN STATISTICS (1-3 credits; may be repeated with change of topic) - Group studies of special topics in statistics. May not be used to meet undergraduate or graduate major requirements in mathematics and statistics. May be used for elective credit only.

595 STATISTICAL CONSULTING (1-3 credits) - Prerequisite: 580 or permission. Students will be assigned to work with an instructor on current projects in the Center for Statistical Consulting. May be repeated for a total of 4 credits; however, only 2 credits will count toward major requirements. Does not count for elective credit for math science department majors.

650 ADVANCED PROBABILITY AND STOCHASTIC PROCESSES (3 credits) - Prerequisite: 651. Random walk, distributions, unlimited sequence of trials, laws of large numbers, convolutions, branching processes, renewal theory, Markov chains, time-dependent stochastic processes.

651 PROBABILITY AND STATISTICS (4 credits) - Prerequisite: Appropriate background is three semesters of calculus or equivalent. Probability, random variables, moments and generating functions, random vectors, special distributions, limit theorems, sampling, point estimation, hypothesis testing, confidence estimation.

652 ADVANCED MATHEMATICAL STATISTICS (3 credits) - Prerequisite: 651. Convergence of random variables, the Central Limit Theorem; theory of estimation; theory of hypothesis testing; the multivariate normal density; introduction to linear models; Bayesian statistics.

661 STATISTICS FOR THE LIFE SCIENCES (3 credits) - Prerequisite: college level algebra or equivalent. Data description and presentation, probability applications in the life sciences (including sensitivity, specificity, relative risk), principles and application of statistical inference, ANOVA, correlation and regression.  May not be used to meet graduate major requirements in statistics.

663 EXPERIMENTAL DESIGN (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Selected topics in experimental design including random and fixed effects, nested designs, split plot designs, confounding, fractional factorials, Latin squares, and analysis of covariance.

665 REGRESSION (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Correlation, simple and multiple linear regression: least squares, matrix notation, model building and checking, estimation, hypothesis testing, outliers, influence, multicollinearity, transformations, categorical regressors; logistic regression.

666 NONPARAMETRIC STATISTICAL METHODS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Theory and practice using techniques requiring less restrictive assumptions. Nonparametric analogues to t- and F-tests, ANOVA, regression and correlation. Computer applications.

667 FACTOR ANALYSIS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Theory and techniques for identifying variables through use of principal components and factor analysis. Identification of groups using cluster analysis. Computer applications.

668 MULTIVARIATE STATISTICAL METHODS (3 credits) - Prerequisite: Appropriate background is two semesters of applied statistics or equivalent. Multivariate techniques including distance concept, Hotelling's T², multivariate ANOVA, regression and correlation, linear contrasts, factorial experiments, nested and repeat measure designs, Bonferroni X² tests, linear discrimination analysis, canonical correlations, application.

670 ADVANCED BIOSTATISTICS (3 credits) - Prerequisite: 570. Statistical issues and methods for biological, medical and health sciences including: clinical trials, equivalence studies, genomics, comparative effectiveness studies, survival analysis, and bioassay. Computer applications.

675 RESPONSE SURFACE METHODOLOGY (3 credits) - Prerequisite: Appropriate background is two semesters of applied statistics or equivalent. First and second order response designs, efficient experimental plans, methods for the analysis, and optimization of response functions.

689 ADVANCED TOPICS IN STATISTICS (1-3 credits; may be repeated for a total of six credits) - Prerequisite: 651. Selected topics in statistics including concepts in biometry, order statistics, advanced inference, sequential analysis, stochastic processes, reliability theory, Bayesian statistics and regression.

692 STATISTICS MASTERS PAPER (2-3 credits; may be repeated) - Prerequisite: permission of advisor. Supervised writing of paper for Masters of Science in Statistics Non-thesis Option.

695 PRACTICUM IN STATISTICS AND MATHEMATICS (1-3 credits) - Prerequisite: graduate teaching assistant or permission. Training and experience in college teaching of statistics. May not be used to meet degree requirements. Credit/noncredit.

697 INDIVIDUAL READING (1-3 credits; may be repeated for a total of four credits) - Prerequisites: graduate standing and permission. Directed studies in statistics under guidance of selected faculty member.

698 MASTER’S RESEARCH (1-6 credits; may be repeated) - Prerequisite: permission of advisor. Research in suitable topics in statistics culminating in a research paper. No more than 2 credits applicable to major requirements.

699 MASTER’S THESIS (2-4 credits; may be repeated for a total of 4 credits) - Prerequisite: Permission. Properly qualified candidates for master's degree may obtain 2-4 credits for research experience which culminates in presentation of faculty-supervised thesis.