Graduate course descriptions

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 and 552 THEORETICAL STATISTICS II (3 credits each) - Sequential. Prerequisite: Appropriate background is three semesters of calculus or equivalent. Elementary combinatorial probability theory, probability distributions, mathematical expectation, functions of random variables, sampling distributions, point and interval estimation, tests of hypotheses, regression and correlation, introduction to experimental designs.  May not be used to meet graduate major requirements in statistics.

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.

569 RELIABILITY MODELS (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Selected topics in reliability modeling including parametric and nonparametric models, competing modes of failure, censored data and accelerated life models.

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 ACTUARIAL SCIENCE I (3 credits) - Prerequisite: Appropriate background is one semester of theoretical statistics or one semester of applied statistics or equivalent. Study of various statistical, financial, and mathematical calculations used to determine insurance premiums related to contingent risks based on individual risk model frameworks.

572 ACTUARIAL SCIENCE II (3 credits) - Prerequisite: 571. Continuation of Actuarial Science I. Study of multiple life functions, multiple decrement models, valuation theory for pension plans, insurance models including expenses, nonforfeiture benefits and dividends.

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.

575 FOUNDATIONS OF STATISTICAL QUALITY CONTROL (3 credits) - Prerequisite: Appropriate background is one semester of applied statistics or equivalent. Course provides a solid foundation in the theory and applications of statistical techniques widely used in industry.

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.

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.

655 LINEAR MODELS (3 credits) - Prerequisites: Appropriate background is linear algebra or 651 or equivalent. General linear model in matrix notation, general linear hypothesis, regression models, experimental design models, analysis of variance and covariance, variance components.

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 (1-3 credits; may be repeated) - Prerequisite: permission of advisor. Supervised writing of paper for Master of Science in Statistics Nonthesis Option.  No more than 2 credits apply to major requirements.

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 (1-2 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 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.