Statistics Courses | Troy University

# Statistics Courses (STAT)

## STAT 5553 - Time Series (3)

The concept of a time series refers to a sequence of values recorded over a period of time. The use of such data is widespread in nearly all areas of science and the humanities, such as econometrics and finance, engineering, medicine, genetics, sociology, and environmental science. It is the existence of dependence between observations in a series as well as the fact that usually only one observation is made at any given point in time that makes time series data so special. Consequently, standard statistical methods are not appropriate, and special statistical analysis methods must be used. The purpose of this course is to introduce current methods and software for time series analysis. Prerequisites: STAT 4459 or STAT 5559.

## STAT 5540 - Biostatistical Analysis (3)

This course provides an overview of statistical methodology useful in the process of modern biostatistics. Biostatistical Methods combine the theory and application of commonly used distributional and distribution-free, or parametric and nonparametric, test statistics, density and function estimation methods. SAS/R is used for data analysis. Prerequisites: STAT 4451 or STAT 5551.

## STAT 5551 - Mathematical Statistics I (3)

A study of probability theory, sample spaces, random variables, mutual exclusion, independence, conditional probability, permutations and combinations, common discrete and continuous distributions, expected value, mean, variance, multivariate distributions, covariance, Central Limit Theorem. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course.

## STAT 5552 - Mathematical Statistics II (3)

A study of the fundamentals of the theory of statistics, the Central Limit Theorem, point estimation, sufficiency, consistency, hypothesis testing, sampling distributions, confidence intervals, linear regression models, interpretation of experimental results, Bayesian Estimation. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisite: STAT 4451 or STAT 5551.

## STAT 5556 - Mathematics of Finance (3)

The fundamental concepts of financial mathematics and how these concepts are applied in calculating present and accumulated values for various streams of cash flows as a basis for future use in the following; reserving, valuation, pricing, asset/liability management, investment income, capital budgeting, and valuing contingent flows. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisites: STAT 4451 or STAT 5551.

## STAT 5559 - Regression Analysis (3)

Topics include simple linear regression, inferences in regression analysis, techniques of multiple regression and model building, ANOVA as regression analysis, analysis of covariance, model selection and diagnostic checking techniques, nonlinear regression, and logistic regression. Computations are an integral part of the course and will involve the use of SAS and R statistical software. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisites: STAT 4451 or STAT 5551.

## STAT 5562 - Advanced Statistical Methods (3)

This course is a continuation of Statistical Methods and Computations. Topics include inference for categorical variables, multiple regression, logistic regression, one-way ANOVA, two-way ANOVA. ANCOVA, and nonparametric methods. Data analysis is carried out using the SAS program. Statistical packages such as SAS and R will be used. Prerequisites: STAT 3350, STAT 4451 or STAT 5551.

## STAT 5564 - Multivariate Analysis (3)

Possible topics to be covered include multivariate descriptive statistics, multivariate normal distribution, analysis of covariance, MANOVA, multivariate regression, principal components, discriminate analysis, cluster analysis, factor analysis. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Some familiarity with R and SAS is expected. Prerequisites: STAT 4451 or STAT 5551, and STAT 3350.

## STAT 5565 - Categorical Data Analysis (3)

In recent years, the use of specialized statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. The course gives an introduction to analyzing categorical data. Principal topics include: contingency tables, generalized Linear Models,log-linear models, logistic regression, and models for matched pairs. Two statistical software packages SAS and R will be used appropriately throughout the course. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisites: STAT 4451 or STAT 5551.

## STAT 5566 - Data Mining (3)

Data mining is a fast growing interdisciplinary field between Statistics and Computer Science due to the emergence of massive data sets. This course covers an information extraction activity whose goal is to discover hidden facts from large data warehouses. A number of data mining task including description, classification, selection, estimation, prediction, and affinity grouping and clustering will be discussed. Also students will learn how to use data mining software to perform data mining functionalities. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisites: STAT 4459.

## STAT 5567 - Experimental Design (3)

Fundamentals principles of designing and analyzing experiments with application are considered. The concepts of experimental unit, randomization, blocking, replication, error reduction and structure are introduced. The design and analysis of completely randomized, randomized complete block, incomplete block, Latin square, split-plot, repeated measures, factorial and fractional designs will be covered. This course contains additional graduate-level content equivalent to a one-hour recitation with the instructor which will further investigate the theoretical aspects of or applications of the topics discussed in the course. Prerequisites: STAT 4451 or STAT 5551.

## STAT 6620 - Selected Topics in Probability and Statistics (3)

The content of this course vary with the topics, and could include Bayesian Model Analysis, Advanced\ Probability and Inference, Time Series, and Forecasting Methods, Statistics for Quality and Productivity, Applied Nonparametric Methods, or others. Prerequisites: STAT 4451 or STAT 5551 and STAT 4459.

## STAT 6621 - Research and Thesis (1-6)

Under the guidance of the student’s advisor and the chair of the department, the student may pursue original research or project in a particular area of statistics. The completion of a thesis is required. The results and conclusions must be successfully defended before the student’s graduate committee. Grading is Pass/Fail. Prerequisites: 3.0 GPA and permission of the Chair of the Mathematics and Statistics department.