Statistics (STAT)

Head of Department: Professor D. Dey
Department Office: Room 323, College of Liberal Arts and Sciences Building

For major requirements, see the College of Liberal Arts and Sciences section of this Catalog.

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 1000QC and 1100QC.

1000QC. Introduction to Statistics I 

(100QC) Either semester. Four credits. Recommended preparation: MATH 1010 or equivalent. 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.

1100QC. Elementary Concepts of Statistics 

(110QC) Either semester. Four credits. Recommended preparation: MATH 1010 or the equivalent. 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

(201Q) Either semester. Three credits. Prerequisite: STAT 1000 or 1100.

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

3025Q . Statistical Methods (Calculus Level I)

(220Q) Either semester. Three credits each semester. Prerequisite: MATH 1122 or 1132 or 1152. Students may not receive more than three credits from STAT 3025 and STAT 3345.

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

3075. Statistical Methods (Calculus Level II)

(221) Either semester. Three credits each semester. Prerequisite: MATH 1122 or 1132 or 1152. 

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

(242Q) Either semester. Three credits. Prerequisite: STAT 2215 or 3025 or instructor consent. Credit may not be received for both STAT 3115 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

(224Q) Either semester. Three credits. Prerequisite: MATH 2110 or 2130. Students may not receive more than three credits from STAT 3025 and STAT 3345 or from STAT 3345 and STAT 3375. 

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

(230Q) Both semesters. Three credits. Prerequisite: MATH 2110 or 2130. Students may not receive credit for both STAT 3345 and STAT 3375, or both STAT 3375 and 5585. 

The mathematical theory underlying statistical methods. Probability spaces, distributions in one and several dimensions, generating functions, limit theorems, sampling, parameter estimation. Neyman-Pearson theory of hypothesis testing, correlation, regression, analysis of variance.

3445. Introduction to Mathematical Statistics

(231) Both semesters. Three credits. Prerequisite: STAT 3375Q. Students may not receive credit for both STAT 3445 and STAT 5685. 

The mathematical theory underlying statistical methods. Probability spaces, distributions in one and several dimensions, generating functions, limit theorems, sampling, parameter estimation. Neyman-Pearson theory of hypothesis testing, correlation, regression, analysis of variance.

3484. Undergraduate Seminar I

(200) Either semester. One credit. Prerequisite: STAT 2215 or 3115; and STAT 3025 or 3375. 

 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.

3494W. Undergraduate Seminar II

(202W) Either semester. One credit. Prerequisite: STAT 2215 or 3115; and STAT 3025 or 3375, and STAT 3484; ENGL 1010 or 1011 or 3800.

 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, building upon the writing experience in STAT 3484. 

3515Q. Design of Experiments

(243Q) Second semester. Three credits. Prerequisite: STAT 2215 or 3025 or instructor consent. Credit may not be received for both STAT 3515 and 5515. 

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

3675QC. Statistical Computing

(261QC) Second semester. Four credits. Prerequisite: STAT 3025 or STAT 3375. Recommended preparation: An applied statistics course. Open only with consent of instructor. 

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

(235) (Also offered as MATH 3170.) Either semester. Three credits. Prerequisite: STAT 3025 or 3345 or 3375 or MATH 3160. Not open for credit to students who have passed MATH 3170. 

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

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

4188. Variable Topics

(295) Either semester. Three credits. With a change in topic, may be repeated for credit. Prerequisites and recommended preparation vary.

4190. Field Study Internship

(294) Either semester. Credits and hours by arrangement. Prerequisites: Completion of Freshman - Sophomore General CLAS requirements. Completion with a grade of "C" or better of STAT 3025 or STAT 3375 and STAT 3115 or STAT 3515. 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

(299) Either semester. Credits and hours by arrangement. 

Open only with consent of instructor. May be repeated for credit.

4389. Undergraduate Research

(296) Either semester. Three credits. Hours by arrangement. Open only with consent of instructor. 

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

4475C. Statistical Quality Control and Reliability

(271C) Either semester. 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

(252) Either semester. Three credits. Prerequisite: STAT 3445 or instructor consent. 

Sampling and nonsampling 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.

4535. Introduction to Operations Research

(286) (Also offered as MATH 4735 and STAT 5535.) Either semester. Three credits. Prerequisite: MATH 3160 or STAT 3025 or 3375. Not open for credit to students who have passed MATH 4735 or STAT 5535. 

Introduction to the use of mathematical and statistical techniques to solve a wide variety of organizational problems. Topics include linear programming, network analysis, queueing theory, decision analysis.

4625. Introduction to Biostatistics

(272) Either semester. Three credits. Prerequisite: STAT 3025 or instructor consent. 

Rates and proportions, sensitivity, specificity, two-way tables, odd 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.

4625Q. Introduction to Biostatistics

(272Q) Either semester. Three credits. Prerequisite: STAT 3025 or an applied statistics course along with either STAT 3375 or MATH 3160 or instructor consent. 

4675. Probability and Statistics Problems

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

Designed to help students prepare for the second actuarial examination.

4825C. Applied Time Series

(280C) Either semester. 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

(253) First semester. 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.