# 3470:  Statistics Undergraduate Course Descriptions

250 STATISTICS FOR EVERYDAY LIFE (4 credits) - Prerequisite: Mathematics Placement Test. Conceptual approach to the basic ideas and reasoning of statistics. Topics include descriptive statistics, probability (uncertainty), statistical inference (estimation and hypothesis testing). Computer applications laboratory. Meets general education requirement.

260 BASIC STATISTICS (3 credits) - Prerequisite: Mathematics Placement Test or 3450:100. Applied approach to data description and statistical inference (hypothesis testing, estimation). Analysis of ratios, rates, and proportions. Computer applications laboratory.  Meets general education requirement.

261 INTRODUCTORY STATISTICS I (2 credits) - Prerequisite: Mathematics Placement Test. Descriptive statistics, tabular and graphical data displays; probability, probability distributions. Introduction to statistical inference (hypothesis testing, estimation); one-sample parametric and nonparametric methods. Computer applications.  Meets general education requirement with 3470:262.

262 INTRODUCTORY STATISTICS II (2 credits) - Prerequisite: 261 or equivalent. Parametric and nonparametric methods of statistical inference for paired data and two-sample problems; one-way ANOVA, simple linear regression and correlation. Computer applications.  Meets general education requirement with 3470:261.

289 SELECTED TOPICS IN STATISTICS (1-3 credits) - Prerequisite: Permission. Selected topics of interest in statistics.

360 STATISTICAL INVESTIGATIONS (3 credits) - Prerequisites: 250, 260 or 262. This course provides practical statistical methods beyond the introductory course. The topics include, design of experiments, data analysis, multiple regression and modern software use.

401 PROBABILITY AND STATISTICS FOR ENGINEERS (2 credits) - Prerequisite: 3450:222. Introduction to probability, statistics, random variables, data descriptions, statistical inference, confidence intervals, hypothesis testing, design of experiments, and applications of statistics to engineering.

450 PROBABILITY (3 credits) - Prerequisite: 3450:221. Introduction to probability, random variables and probability distributions, expected value, sums of random variables, Markov processes.

451 THEORETICAL STATISTICS I and 452 THEORETICAL STATISTICS II (3 credits each sequential) - Prerequisite: 3450:223. 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.

461 APPLIED STATISTICS (4 credits) - Prerequisite: 3450:222 or 216 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.

462 APPLIED REGRESSION AND ANOVA (4 credits) - Prerequisite: 461 or equivalent. Applications of the techniques of regression and multifactor analysis of variance.

465 DESIGN OF SAMPLE SURVEYS (3 credits) - Prerequisite: 461 or equivalent. Design and analysis of frequently used sample survey techniques.

470 BIOSTATISTICS AND EPIDEMIOLOGY (3 credits) - Prerequisite: 261 and 262 or 461 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.

471 INTRODUCTION TO ACTUARIAL SCIENCE (3 credits) - Prerequisite: 3450:222 or equivalent. Interest theory and financial mathematics used in actuarial science. Topics include value of money, annuities, loans, bonds, cash flows and immunization, interest rate swaps.

472 ACTUARIAL MODELS (3 credits) - Prerequisite: 451. 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.

473 SURVIVAL ANALYSIS (3 credits) - Prerequisite: 3470:461. Basic concepts in survival analysis, censoring and data truncation, estimation of survival models, nonparametric hazard and survival function estimation, comparing survival times between groups.

476 BAYESIAN STATISTICS (3 credits) - Prerequisite: 263 or 461 or equivalent. Basic concepts in Bayesian theory, sampling methods, MCMC, and hierarchical modeling. Computer applications of Bayesian statistics to natural; and physical; sciences and engineering.

477 TIME SERIES ANALYSIS (3 credits) - Prerequisite: 461 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.

480 STATISTICAL DATA MANAGEMENT (3 credits) - Prerequisites: 461or equivalent. Students learn data organization and structures, design of statistical data bases, statistical software analysis, importing and exporting data between software, and missing data analysis.

483 ADVANCED STATISTICAL COMPUTING (3 credits) - Prerequisites: 461 or equivalent. Topics include data management, random number generation, resampling methods, numerical optimization, Markov Chain Monte Carlo, smoothing methods, data mining: clustering and classification.

485 APPLIED ANALYTICS - DECISION TREES (3 credits) - Prerequisite:  461or equivalent.  Selected topics in predictive modeling using CHAID, classification and regression trees, logistic regression and neural networks.

486 SPATIAL-TEMPORAL STATISTICS (3 credits) - Prerequisite:  262 or 461 or equivalent.  Basic concepts of geostatistics, point pattern, area unit. Spatial-temporal modeling in high dimensional data. Computer applications to natural and physical sciences and engineering.

489 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.

491 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.

495 STATISTICAL CONSULTING (1-3 credits) - Prerequisite: 480 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.

497 INDIVIDUAL READING (1-2 credits; may be repeated for a total of four credits) - Prerequisites: senior standing and permission. Directed studies in statistics designed as introduction to research problems under guidance of selected faculty member.

498 SENIOR HONORS PROJECT (1-3 credits) - Prerequisite: 489 (honors). Directed study for senior student in the University Honors Program who has completed 3470:489 (honors). An introduction to research problems in the mathematical sciences under the guidance of selected faculty.