## Curriculum

**Graduate Courses**

**STAT 405/505 Cr. 3Statistical Methods**A survey of statistical methods from the point of view of how these methods are implemented with a standard statistics software package. Topics include descriptive statistics, graphical methods, tests of location, goodness of fit, simple and multiple regression, design of experiments, ANOVA, multiple comparisons, chi-square tests. Both parametric and nonparametric methods are treated. Computer use is an integral part of the course. Offered Fall.

**STAT 441/541 Cr. 3****Mathematical Statistics I**

Review of discrete and continuous random variables. Moment generating functions, multivariate probability distributions, marginal and conditional probability distributions, functions of random variables, order statistics, Central Limit Theorem, point estimation and confidence intervals. Prerequisite: grade of "C" or better in STAT 245 and MTH 310. Offered Fall.

**STAT 442/542 Cr. 3****Mathematical Statistics II**

Methods of estimating, including method of moments and maximum likelihood. Sufficient statistics, hypothesis testing, power of tests, likelihood ratio tests and introduction to regression and analysis of variance. Prerequisite: grade of "C" or better in STAT 541. Offered Spring.

**STAT 443/543 Cr. 3****Categorical Data Analysis**

An introduction to categorical data analysis covering summaries and inference for categorical response and count data, analysis of contingency tables, generalized linear models for binary and count data, logistic regression, multicategory logit models, and loglinear models for contingency tables with an emphasis on applications and implementation using computer software. Prerequisite: grade of "C" or better in STAT 245 or STAT 405/505. Offered Fall - Even Numbered Years.

**STAT 445/545 Cr. 3****Correlation and Regression Analysis**

An introduction to simple linear regression, multiple regression, polynomial regression. Inferences, appropriateness of model, model diagnostics/adequacy, difficulties in the application of models are discussed. A computer package will be used. Course participants will be involved with hands-on statistical applications and consulting. Prerequisite: grade of "C" or better in STAT 245 or STAT 405/505. Offered Fall.

**STAT 446/546 Cr. 3****Analysis of Variance and Design of Experiments**

An introduction to single factor, and randomized block designs in analysis of variance. Inferences, appropriateness of model, model diagnostics/adequacy, difficulties in the application of models are discussed. Design or structure of an experiment will be discussed. A computer package will be used. Course participants will be involved with hands-on statistical applications and consulting. Prerequisite: grade of "C" or better in STAT 245 or STAT 405/505. Offered Spring.

**STAT 447/547 Cr. 3****Nonparametric Statistics**

An introductory course presenting the theory and procedures for using distribution-free methods in data analysis. Standard procedures, such as the Wilcoxon tests, Kruskal-Wallis, Kolmogorov-Smirnov, nonparametric confidence intervals, regression analysis, and powers of the tests will be included. Computer programs will be used when appropriate. Prerequisite: grade of "C" or better in STAT 245 or STAT 405/505. Offered Spring - Even Numbered Years.

**STAT 448/548 Cr. 3Operations Research**An introductory course which applies mathematics/statistics to management decision making. Included are methods of optimizing systems, decision analysis, simulation, and reliability. Various programming techniques are introduced with the computer used as a tool where appropriate. Offered Spring - Odd Numbered Years.

**STAT 449/549 Cr. 3****Applied Multivariate Statistics**

An introduction to applied multivariate statistical methods covering multivariate analysis of variance, multivariate analysis of covariance, repeated measures design, factor analysis, principle component analysis, cluster analysis, discriminate analysis, and multivariate regression. Course participants will be involved with hands-on statistical applications. Prerequisite: grade of "C" or better in STAT 245 or STAT 405/505. Offered Fall - Odd Numbered Years.

**STAT 596 Cr. 1-3Special Topics in Statistics**Special topics in statistics not covered by regular courses taught in this department. The particular topic is decided by the instructor. Repeatable for creditâ€“maximum six.

**STAT 762 Cr. 3****Bayesian Statistics**

This course will introduce students to Bayesian statistical inference. It covers a discussion of subjective probability and assessment, Bayesâ€™ rule, Bayesian inference for one and two parameter problems, Bayesian testing and model diagnostics, Bayesian computation (Markov Chain Monte Carlo, Metropolis-Hastings, and Gibbs Sampling), hierarchical Bayesian methods, and model comparisons. Prerequisite: STAT 345 and STAT 441/541. Offered Spring - Odd Numbered Years.

**STAT 764 Cr. 3****Data Mining for Statistics**

Students will learn the process of extracting useful information from large data sets using techniques from data mining and machine learning, including methods for classification, association, and clustering. Method selection, computer implementation, and interpretation of results are the focus of the course. Prerequisite: STAT 345. Offered Fall - Even Numbered Years.

**STAT 766 Cr. 3****Biostatistics**

This course aims to provide students an enriched knowledge regarding the theory and applications of statistics in the health sciences. This course will include a discussion of general techniques and concepts such as relative risk, odds ratio, attributable risk, hazard models, survival analysis, and other related topics. This course will use statistical software to facilitate computations in data analysis. Prerequisite: STAT 445/545 or STAT 446/546 or concurrent enrollment. Offered Fall - Odd Numbered Years.

**STAT 798 Cr. 1-3Independent Study**Directed readings or presentation of material not available in formal departmental courses under the supervision of a faculty member. Registration by consent of supervising faculty member and department chair. Repeatable for credit - maximum six.

**STAT 799 Cr. 1-6****Master's Thesis**

Independent research on a problem selected for a thesis under the direction of a faculty member. Repeatable for credit - maximum 12. Maximum of six credits per semester. Prerequisite: at least nine graduate credits from STAT 543, STAT 545, STAT 546, STAT 547, STAT 549, STAT 762, STAT 764, STAT 766. Consent of instructor. Pass/Fail grading. Offered Fall, Spring, Summer.

### Undergraduate Courses

**STAT 245 Cr. 4****Probability and Statistics**

An initial course in probability and statistics for students strong in mathematics. Probability topics include sample spaces, random variables, independence, and the binomial, Poisson, normal, and exponential distributions and their applications. Calculus-based methods will be used for analyzing continuous distributions. Statistics topics include descriptive statistics, sampling distributions, confidence intervals, hypothesis testing, regression, and ANOVA. Prerequisite: grade of "C" or better in MTH 208 or concurrent enrollment. Offered Fall, Spring.

**STAT 345 Cr. 3****Statistical Computing**

An introductory course covering fundamentals of modern statistical computing. Topics include core programming concepts such as functions, data structures and debugging. Stochastic simulations and random variable generation are introduced, as well as accessing, filtering, and analyzing data from other resources. The R language will be used. Prerequisite: STAT 245 and CS 120. Offered Spring.

### Supporting Courses

**MTH 207 Cr. 5****Calculus I**

A rigorous introduction to calculus. Topics include limits, rules for differentiation, derivatives of trigonometric, logarithmic and exponential functions, the Mean Value Theorem, integration, and the Fundamental Theorem of Calculus. In the area of applications, the course covers problems on related rates, extrema, areas, volumes, and Newton's Second Law.

**MTH 208 Cr. 4****Calculus II**

A continuation of Calculus I with a rigorous introduction to sequences and series. Topics include techniques of integration and indeterminate forms, improper integrals, applications of integrals to the physical sciences, tests for the convergence of series, absolute convergence, power series, and Taylor's Theorem with Remainder. First order linear differential equations are explored, as well as the geometry of space.

**MTH 310 Cr. 4****Calculus III: Multivariable Calculus**

A course in higher dimensional calculus, partial derivatives, and multiple integrals. Topics include parametric curves, polar (and other) coordinate systems, vector fields, scalar fields, the gradient vector, chain rule, Jacobian, Green's Theorem, Stokes' Theorem, and the Divergence Theorem.

**CS 120 Cr. 4****Software Design I**

An introduction to the fundamentals of software development; including software classes, objects, inheritance, polymorphism, logic, selection control, repetition control, subprograms, parameter passage, and rudimentary software engineering techniques. Students complete numerous programming projects using a modern programming language.