# Statistics Courses that Apply to a Mathematics Major

**STA 3381 Probability and Statistics**

Prerequisite(s): A grade of C or above in MTH 1322.

Introduction to the fundamentals of probability, random variables, discrete and continuous probability distributions, expectations, sampling distributions, topics of statistical inference such as confidence intervals, tests of hypotheses, and regression.

**STA 4370 Sampling Techniques**

Prerequisite(s): Three hours of statistical methods.

Planning, execution, and analysis of sampling from fi nite populations. Simple random, stratified random, ratio, systematic, cluster, sub sampling, regression estimates, and multi-frame techniques are covered.

**STA 4371 Data Management and Mining**

Prerequisite(s): STA 3381.

Terminology, techniques, and management of Data Mining for biostatisticians.

**STA 4372 Introduction to Biostatistics**

Prerequisite(s): STA 3381.

Data Analysis for biostatisticians in the biomedical and pharmaceutical fields.

**STA 4373 Computational Methods in Statistics**

Prerequisite(s): STA 3381.

Computational methods using statistical packages and programming.

**STA 4374 Statistical Process Control**

Prerequisite(s): STA 3381.

Development of statistical concepts and theory underlying procedures used in statistical process control applications and reliability.

**STA 4382 Intermediate Statistical Methods**

Prerequisite(s): STA 2381 with minimum grade of C or STA 3381; or consent of instructor.

Development and application of two-sample inference, analysis of variance and multiple regression. Assumptions, diagnostics and remedial measures are emphasized. Computer statistics packages are utilized.

**STA 4385 Mathematical Statistics I**

Prerequisite(s): MTH 2321 with minimum grade of C.

Introductions to the fundamentals of probability theory, random variables and their distributions, expectations, transformations of random variables, moment generating functions, special discrete and continuous distributions, multivariate distributions, order statistics, and sampling distributions.

**STA 4386 Mathematical Statistics II**

Prerequisite(s): STA 4385 with minimum grade of C.

Theory of statistical estimation and hypothesis testing. Topics include point and interval estimation, properties of estimators, properties of test of hypotheses including most powerful and likelihood ratios tests, and decision theory including Bayes and minimax criteria.

**STA 4387 Introduction to Probability Models**

Prerequisite(s): STA 4385 with minimum grade of C.

Applications of probability theory to the study of phenomena in such fields as engineering, management science, social and physical sciences, and operations research. Topics include Markov chains, branching processes, Poisson processes, exponential models, and continuous-time Markov chains with applications to queuing systems. Other topics introduced are renewal theory and estimation procedures.