Statistics (STAT)

Head of Department: Professor Joseph Glaz

Department Office: Room 323, Philip E. Austin Building

Major requirements

Credit Restrictions: 1000-level statistics courses are not open for credit to students who have passed a 2000-level or above statistics course or who are taking such a course concurrently. Students can receive no more than four credits from STAT 1000Q and 1100Q.

1000Q. Introduction to Statistics I

Four credits. Three class periods and one discussion period. See credit restrictions above.

A standard approach to statistical analysis primarily for students of business and economics; elementary probability, sampling distributions, normal theory estimation and hypothesis testing, regression and correlation, exploratory data analysis. Learning to do statistical analysis on a personal computer is an integral part of the course.

1100Q. Elementary Concepts of Statistics

Four credits. Three class periods and one discussion period. See credit restrictions above.

Standard and nonparametric approaches to statistical analysis; exploratory data analysis, elementary probability, sampling distributions, estimation and hypothesis testing, one- and two-sample procedures, regression and correlation. Learning to do statistical analysis on a personal computer is an integral part of the course.

2215Q. Introduction to Statistics II

Three credits. Prerequisite: STAT 1000Q or 1100Q.

Analysis of variance, multiple regression, chi-square tests, and non-parametric procedures.

3005. Biostatistics for Health Professions

(Also offered as AH 3005.) Three credits. Prerequisite: A course in pre-calculus or higher; STAT 1000Q or 1100Q or higher; open to CANR students and Statistics majors, juniors or higher; others with instructor consent. Not open for credit to students who have passed AH 3005 or STAT 4625.

Introduction to biostatistical techniques, concepts, and reasoning using a broad range of biomedical and public health related scenarios. Specific topics include description of data, statistical hypothesis testing and its application to group comparisons, and tools for modeling different type of data, including categorical, and time-event, data. Emphasis on the distinction of these methods, their implementation using statistical software, and the interpretation of results applied to health sciences research questions and variables.

3025Q. Statistical Methods (Calculus Level I)

Three credits each semester. Prerequisite: MATH 1132Q or 1152Q. Students may not receive more than three credits from STAT 3025Q and STAT 3345Q.

Basic probability distributions, point and interval estimation, tests of hypotheses, correlation and regression, analysis of variance, experimental design, non-parametric procedures.

3115Q. Analysis of Experiments

Three credits. Prerequisite: STAT 2215Q or 3025Q or instructor consent. Credit may not be received for both STAT 3115Q and 5315.

Straight-line regression, multiple regression, regression diagnostics, transformations, dummy variables, one-way and two-way analysis of variance, analysis of covariance, stepwise regression.

3345Q. Probability Models for Engineers

Three credits. Prerequisite: MATH 2110 or 2130. Students may not receive more than three credits from STAT 3025Q and 3345Q or from STAT 3345Q and 3375Q.

Probability set functions, random variables, expectations, moment generating functions, discrete and continuous random variables, joint and conditional distributions, multinomial distribution, bivariate normal distribution, functions of random variables, central limit theorems, computer simulation of probability models.

3375Q. Introduction to Mathematical Statistics I

Three credits. Prerequisite: A grade of C+ or better in MATH 2110Q or 2130Q. Students may not receive credit for both STAT 3345Q and 3375Q, or both STAT 3375Q and 5585.

The mathematical theory underlying statistical methods. Probability spaces, distributions in one and several dimensions, generating functions, and limit theorems.

3445. Introduction to Mathematical Statistics II

Three credits. Prerequisite: STAT 3375Q. Students may not receive credit for both STAT 3445 and STAT 5685.

Sampling distributions and parameter estimation. Neyman-Pearson theory of hypothesis testing, correlation, regression, analysis of variance.

3494W. Undergraduate Seminar

One credit. Prerequisite: STAT 2215Q or 3115Q; and STAT 3025Q or 3375Q; ENGL 1010 or 1011 or 2011.

The student will attend 6-8 seminars per semester, and choose one statistical topic to investigate in detail. The student will write a well-revised comprehensive paper on this topic, including a literature review, description of technical details, and a summary and discussion.

3515Q. Design of Experiments

Three credits. Prerequisite: STAT 2215Q or 3025Q or instructor consent. Credit may not be received for both STAT 3515Q and 5515.

Methods of designing experiments utilizing regression analysis and the analysis of variance.

3675Q. Statistical Computing

Four credits. Prerequisite: STAT 3025Q or STAT 3375Q; open only with consent of instructor. Recommended preparation: An applied statistics course.

Introduction to computing for statistical problems; obtaining features of distributions, fitting models and implementing inference (obtaining confidence intervals and running hypothesis tests); simulation-based approaches and basic numerical methods. One hour per week devoted to computing and programming skills.

3965. Elementary Stochastic Processes

(Also offered as MATH 3170.) Three credits. Prerequisite: STAT 3025Q or 3345Q or 3375Q or MATH 3160.

Conditional distributions, discrete and continuous time Markov chains, limit theorems for Markov chains, random walks, Poisson processes, compound and marked Poisson processes, and Brownian motion. Selected applications from actuarial science, biology, engineering, or finance.

4185. Special Topics

Credits and hours by arrangement. Prerequisites and recommended preparation vary. With a change in content, may be repeated for credit.

4188. Variable Topics

Three credits. Prerequisites and recommended preparation vary. With a change in topic, may be repeated for credit.

4190. Field Study Internship

Credits and hours by arrangement. Prerequisites: Completion of freshman-sophomore general College of Liberal Arts and Sciences requirements. Completion with a grade of “C” or better of STAT 3025Q or 3375Q and STAT 3115Q or 3515Q. Students taking this course will be assigned a final grade of S (satisfactory) or U (unsatisfactory).

Supervised field work relevant to some area of Statistics with a regional industry, government agency, or non-profit organization. Evaluated by the field supervisor and by the instructor (based on a detailed written report submitted by the student).

4299. Independent Study

Credits and hours by arrangement. Prerequisite: Open only with consent of instructor. May be repeated for credit.

4389. Undergraduate Research

Three credits. Hours by arrangement. Prerequisite: Open only with consent of instructor. May be repeated for credit.

Supervised research in probability or statistics. A final written report and oral presentation are required.

4475. Statistical Quality Control and Reliability

Three credits. Prerequisite: STAT 3445.

Development of control charts, acceptance sampling and process capability indices, reliability modeling, regression models for reliability data, and proportional hazards models for survival data.

4525. Sampling Theory

Three credits. Prerequisite: STAT 3445 or instructor consent.

Sampling and non-sampling error, bias, sampling design, simple random sampling, sampling with unequal probabilities, stratified sampling, optimum allocation, proportional allocation, ratio estimators, regression estimators, super population approaches, inferences in finite populations.

4625. Introduction to Biostatistics

Three credits. Prerequisite: STAT 3025Q or instructor consent.

Rates and proportions, sensitivity, specificity, two-way tables, odds ratios, relative risk, ordered and non-ordered classifications, trends, case-control studies, elements of regression including logistic and Poisson, additivity and interaction, combination of studies and meta-analysis.

4675. Probability and Statistics Problems

One or two credits. Hours by arrangement. Prerequisite: MATH 3160 and STAT 3375Q. Not open for credit to students who have passed MATH 3660.

Designed to help students prepare for the second actuarial examination.

4825. Applied Time Series

Three credits. Prerequisite: STAT 3445 or instructor consent.

Introduction to prediction using time-series regression methods with non-seasonal and seasonal data. Smoothing methods for forecasting. Modeling and forecasting using univariate, autoregressive, moving average models.

4875. Nonparametric Methods

Three credits. Prerequisite: STAT 3445 or instructor consent.

Basic ideas, the empirical distribution function and its applications, uses of order statistics, one- two- and c-sample problems, rank correlation, efficiency.

 

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