Statistics Courses
STAT U700oo (STA 9700) Statistical Analysis for Business Decision
3 hours plus conference; 3 credits
This first course in linear models is designed to present the material related to classical regression as well as relevant modern techniques. The traditional material based on ordinary least squares is blended with the modern methods of diagnosis and combating of collinearity. In the area of selecting the optimal subset model, classical and contemporary methodologies are presented. Influence diagnostics to detect data points that exert a disproportionate influence on the regression model are also presented. In addition, procedures that are used when the assumptions of standard methodology are violated are discussed.
Prerequisite: STA 9708 or equivalent. Credit is given for STA U700 (STA 9700) or STA 9000, but not both.
STAT U702oo Advanced Statistical Inference
3 hours; 3 credits
The theory and application of sampling methods as applied to human populations, industrial sampling, record sampling, and sampling of experimental data are discussed. A variety of plans, including unrestricted random sampling, stratified cluster, multistage, replicated, multiple and sequential, discovery and ratio, and regression estimate sampling plans, are discussed and compared for efficiency. (Registration for this course is ordinarily limited to students in the doctoral program. Master's degree students in the statistics specialization may register for this course only with departmental permission.)
Prerequisites: STA U700 and departmental permission.
STAT U703oo Applied Probability
3 hours; 3 credits
This course covers the operation of sets, probability in finite sample space, random variables, finite Markov process and probability functions, and subjective or personalistic probability. Among the random processes and probability distributions developed are Bernovilli, Pascal, hypergeometric, Poisson, exponential, gammas, and normal distributions. Random sampling distributions and derived probability distributions are presented. Applications to selected business problems are also presented.
Prerequisite: Departmental permission
STAT U704oo (OPR 9704) Operations Research Quantitative Analysis for Business Decisions applied Probability
3 hours; 3 credits
The quantitative techniques in operations research and their application to the decision-making and management planning areas. Emphasis is first placed on problem formulation; quantitative decision models, including deterministic, stochastic, uncertainty, control, and competitive models, are then developed. The components of Bayesian decision models are developed. Such characteristic operations research tools as linear programming, queuing theory, and inventory theory, as well as mathematical simulations and models of entire complex systems, are developed and applied to management areas of marketing, finance, production, and personnel and health administration.
Prerequisites: STA U 700, MTH 9703
STAT U705oo (STA 9705) Multivariate Statistical Methods
3 hours; 3 credits
A comprehensive survey of a large array of widely used multivariate statistical methods intended for the user of advanced statistical methodology. The multivariate normal distribution and related distributions, including Hotelling T2 and Wishart distribution, are introduced and their use illustrated in statistical estimation and hypothesis testing in multivariate normal models. Additional topics introduced and applied include multivariate analysis of variance and covariance, canonical correlation, principal component analysis, factor analysis, discriminant analysis, and cluster analysis. Students prepare both an oral and written report on their findings.
Prerequisites: MTH 9703; STA 9700 or equivalent.
STAT U783oo (STA 9783) Stochastic Processes for Application I
3 hours; 3 credits
The fundamental concepts of stochastic processes necessary for understanding the complex probabilistic models currently used in business applications are discussed. Stochastic processes covered include the random walk, Markov chains, Borth and Death, and the Markov and Poisson renewal processes. Examples are selected from various disciplines to illustrate the use of these processes.
Prerequisite: STA U702.
STAT U820oo Mathematical Programming in Business and Industry
3 hours; 3 credits
This course deals primarily with the special use of linear programming, with less emphasis on the extension to nonprogramming. The general linear programming model, the transportation model, and the assignment program are introduced. Topics in linear programming, such as the simplex algorithm, duality, sensitivity analysis, integer programming, trans-shipment, blending problems, the caterer problem, etc., are developed. Extensions to problems involving nonlinear functions include quadratic and convex programming and the Kuhn-Tucker theorems. Linear programming is discussed for both static (single time-period) and dynamic (multistage) cases; problems in which the coefficients and deterministic, parametric, and stochastic.
Prerequisites: STA U704, MTH 9703
STAT U851oo Computer Techniques in Business Research
3 hours; 3 credits
The computer and problem solving in the areas of business decision-making statistical methods and accounting. Discussions of mathematical techniques for the computer, including approximation and simulation methods. Programming methods for various problems will be discussed.
Prereuisite: Departmental permission.
STAT U880oo Research Seminar in Quantitative Methods
3 hours; 3 credits
Analysis of recent developments in statistical and decision making methods. Research by students in theory and application of newly developed techniques.
Prerequisite: Departmental permission.
