# ## Statistical Science

##### 1301  Statistical Reasoning: A Guide to the Unknown

Philosophical, ethical, and sociological issues related to statistical uncertainty and randomness.

##### 1380   Elementary Statistics

Introduction to traditional statistical concepts including descriptive statistics, binomial and normal probability models, tests of hypotheses, linear correlation and regression, two-way contingency tables, and one-way analysis of variance. Credit may not be obtained after receiving credit in STA 2381 or 3381.

##### 1V9R Research                                                                               0 to 3 sem. hrs.
###### Pre-requisite(s): Consent of the instructor.

Undergraduate research undertaken with the supervision of a faculty member. May be taken for a maximum of 6 hours.

##### 2300 Introduction to Data Science (Cross-listed as CSI 2300)

Principles of data science, including problem workflow, variable types, visualization, modeling, programming, data management and cleaning, reproducibility, and big data.

##### 2381   Introductory Statistical Methods
###### Prerequisite(s): A grade of C or above in MTH 1321.

Parametric statistical methods. Topics range from descriptive statistics through regression and one-way analysis of variance. Applications are typically from biology and medicine. Computer data analysis is required.

##### 2450 Introduction to Computing for the Mathematical and Statistical Sciences

Computer programming for mathematical scientists with emphasis on designing algorithms, problem solving, and coding practices. Topics include development of programs from specifications; appropriate use of data types; functions; modular program organization; documentation and style; and version control and collaborative programming.

##### 2V9R Research                                                                                 0 to 3 sem. hrs.
###### Pre-requisite(s): Consent of the instructor.

Undergraduate research undertaken with the supervision of a faculty member. May be taken for a maximum of 6 hours.

##### 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.

##### 3386   Regression Analysis
###### Pre-requisite(s): STA 3381, MTH 2311 and MTH 2321.

A development of regression techniques including simple linear regression, multiple regression, logistic regression and Poisson regression with emphasis on model assumptions, parameter estimation, variable selection and diagnostics.

##### 3V90 Undergraduate Research in Statistics                        1 to 3 sem. hrs.
###### Pre-requisite(s): Consent of instructor.

Independent study or research in topics not available in other courses. Maximum of four hours will count toward the degree.

##### 3V9R Research                                                                             0 to 3 sem. hrs.
###### Pre-requisite(s): Consent of the instructor.

Undergraduate research undertaken with the supervision of a faculty member. May be taken for a maximum of 6 hours.

##### 4330   SAS Programming for Statistical Science
###### Pre-requisite(s): STA 2381 or 3381.

Concepts in SAS programming including methods to establish and transform SAS data sets, perform statistical analyses, and create general customized reports. Methods from both BASE SAS and SAS SQL will be considered.

##### 4350 Statistical Machine Learning
###### Pre-requisite(s): STA 3386

Fundamental topics of machine learning including supervised/unsupervised learning, cost function optimization, feature selection and engineering, and bias/variance tradeoff. Learning algorithms including classification methods, support vector machines, decision trees, neural networks, and deep learning are included.

##### 4360   Bayesian Data Analysis
###### Pre-requisite(s): STA 4385

An introduction to Bayesian inference emphasizing prior and posterior distributions, estimation, prediction, hierarchical Bayesian analysis, and applications with computer implemented data analysis.

##### 4362   Applied Time Series Analysis
###### Pre-requisite(s): STA 3386.

Statistical methods of analyzing time series. Model identification, estimation, forecasting, and spectral analysis will be discussed. Applications in a variety of areas including economics and environmental science will be considered.

##### 4370   Sampling Techniques
###### Prerequisite(s): Three hours of statistical methods.

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

##### 4371   Data Management and Mining
###### Prerequisite(s): STA 3381.

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

##### 4372   Introduction to Biostatistics
###### Prerequisite(s): STA 2381 or STA 3381 or consent of the instructor.

Data Analysis for biostatisticians in the biomedical and pharmaceutical fields.

##### 4373  Computational Methods in Statistics
###### Prerequisite(s): STA 2381 or STA 3381 or consent of the instructor.

Computational methods using statistical packages and programming.

##### 4374   Statistical Process Control
###### Prerequisite(s): STA 3381 or equivalent.

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

##### 4382   Intermediate Statistical Methods
###### Prerequisite(s):  A minimum grade of C in either STA 2381 or STA 3381 and a minimum grade of C in STA 3386.

Development and application of two-sample inferences, analysis of variance, multiple comparison procedures, and nonparametric methods.

##### 4384 Applied Multivariate Methods
###### Pre-requisite(s): STA 3386.

Numerical and graphical descriptive statistics for multivariate data, principal components and factor analysis, canonical correlation, discriminant analysis, multivariate analysis of variance, multidimensional contingency tables, and cluster analysis.

##### 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.

##### 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.

##### 4387   Introduction to Probability Methods
###### 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.