Academic Catalog

Statistics (3470)

3470:250. 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.

3470:260. Basic Statistics. (3 Credits)

Prerequisite: Mathematics Placement Test. Applied approach to data description and statistical inference (hypothesis testing, estimation). Analysis of ratios, rates, and proportions. Computer applications. Laboratory.

3470:261. 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.

3470:262. Introductory Statistics II. (2 Credits)

Prerequisite: 3470:261 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.

3470:289. Selected Topics in Statistics. (1-3 Credits)

Prerequisite: Permission. Selected topics of interest in statistics.

3470:360. Statistical Investigations. (3 Credits)

Prerequisites: 3470:250 or 3470:260 or 3470:262. This course provides practical statistical methods beyond the introductory course. The topics include design of experiments, data analysis, multiple regression and modern software use.

3470:401. 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.

3470:450. Probability. (3 Credits)

Prerequisite: 3450:221. Introduction to probability, random variables and probability distributions, expected value, sums of random variables, Markov processes.

3470:451. Theoretical Statistics I. (3 Credits)

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.

3470:452. Theoretical Statistics II. (3 Credits)

Sequential. Prerequisite: 3470:451. 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.

3470:461. Applied Statistics. (4 Credits)

Prerequisite: 3450:222. 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.

3470:462. Applied Regression and ANOVA. (4 Credits)

Prerequisites: 3470:461. Applications of the techniques of regression and multifactor analysis of variance.

3470:465. Design of Sample Surveys. (3 Credits)

Prerequisite: 3470:461 or equivalent. Design and analysis of frequently used sample survey techniques.

3470:469. Reliability Models. (3 Credits)

Prerequisite: 3470:461. Selected topics in reliability modeling including parametric and nonparametric models, competing modes of failure, censored data and accelerated life models.

3470:470. Biostatistics and Epidemiology. (3 Credits)

Prerequisite: 3470:261 and 34701:262 or 3470:461, 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.

3470:471. Actuarial Science I. (3 Credits)

Prerequisite: 3470:451 or 3470:461 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.

3470:472. Actuarial Science II. (3 Credits)

Prerequisite: 3470:471. 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.

3470:473. 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.

3470:475. Foundations of Statistical Quality Control. (3 Credits)

Prerequisite: 3470:461 or equivalent. Course provides a solid foundation in the theory and applications of statistical techniques widely used in industry.

3470:477. Time Series Analysis. (3 Credits)

Prerequisite: 3470:450, or 3470:451, or 3470:561. Stationarity. ARIMA modeling with seasonality. Parameter estimation, model diagnostics and forecasting. Regression with autocorrelated errors. Cointegration and multivariate ARMA models. Heterosecedasticity and long-memory models.

3470:480. Statistical Data Management. (3 Credits)

Prerequisites: 3470:461. Students learn data organization and structures, design of statistical data bases, statistical software analysis, importing and exporting data between software, and missing data analysis.

3470:483. Advanced Statistical Computing. (3 Credits)

Prerequisite: 3470:461 or equivalent. Topics include data management, random number generation, resampling methods, numerical optimization, Markov Chain Monte Carlo, smoothing methods, data mining: clustering and classification.

3470:485. Applied Analytics-Decision Trees. (3 Credits)

Prerequisite: 3470:461. Selected topics in predictive modeling using CHAID, Classification and Regression Trees, Logistic Regression and Neural Networks.

3470:489. 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.

3470:491. 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.

3470:495. Statistical Consulting. (1-3 Credits)

Prerequisite: 3470:462 or 3470:480 or permission. Students will learn about various aspects of statistical consulting and will work on current projects of the Center for Statistical Consulting. May be repeated for a total of 4 credits.

3470:497. Individual Reading: Statistics. (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.

3470:498. Senior Honors Project. (1-3 Credits)

Prerequisite: 3470:489 (honors). Directed study for senior student in the University Honors Program who has completed 3450:489 (honors). An introduction to research problems in the mathematical sciences under the guidance of selected faculty.