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Statistics (STAT)Head of Department: Professor D. Dey For major requirements, see the College of Liberal Arts and Sciences section of this Catalog. Credit restrictions: 100 level statistics courses are not open for credit to students who have passed a 200 level statistics course or who are taking such a course concurrently. Students can receive no more than four credits from Statistics 100QC and 110QC. 100QC. Introduction to Statistics I Either semester. Four credits. Recommended preparation: MATH 101 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. 110QC. Elementary Concepts of Statistics Either semester. Four credits. Recommended preparation: MATH 101 or 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. Either semester. One credit. Prerequisite: STAT 201 or 242; and STAT 220 or 230. 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. 201Q. Introduction to Statistics II Either semester. Three credits. Prerequisite: STAT 100 or 110. Open to sophomores or higher. Analysis of variance, multiple regression, chi-square tests, and non-parametric procedures. 202W. Undergraduate Seminar II Either semester. One credit. Prerequisite: STAT 201 or 242; and STAT 220 or 230, and STAT 200; ENGL 110 or 111 or 250 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 200. 220Q . Statistical Methods (Calculus Level) Either semester. Three credits each semester. Prerequisite: MATH 114 or 116 or 136. Students may not receive more than three credits from STAT 220 and STAT 224. Basic probability distributions, point and interval estimation, tests of hypotheses, correlation and regression, analysis of variance, experimental design, non-parametric procedures. 221. Statistical Methods (Calculus Level) Either semester. Three credits each semester. Prerequisite: MATH 114 or 116 or 136. Basic probability distributions, point and interval estimation, tests of hypotheses, correlation and regression, analysis of variance, experimental design, non-parametric procedures. 224Q. Probability Models for Engineers Either semester. Three credits. Prerequisite: MATH 210 or 230. Students may not receive more than three credits from STAT 224 and STAT 220 or from STAT 224 and STAT 230. 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. 230Q. Introduction to Mathematical Statistics Both semesters. Three credits. Prerequisite: MATH 210 or 230. Students may not receive credit for both STAT 230 and STAT 224, or both STAT 230 and 315. 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. 231. Introduction to Mathematical Statistics Both semesters. Three credits. Prerequisite: STAT 230Q. Students may not receive credit for both STAT 231 and STAT 316. 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. 235. Elementary Stochastic Processes (Also offered as MATH 232.) Either semester. Three credits. Prerequisite: STAT 220 or 224 or 230 or MATH 231. Not open for credit to students who have passed MATH 232. 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. Either semester. Three credits. Prerequisite: STAT 201 or 220 or consent of instructor. Credit may not be received for both STAT 242 and 342. Straight-line regression, multiple regression, regression diagnostics, transformations, dummy variables, one-way and two-way analysis of variance, analysis of covariance, stepwise regression. Second semester. Three credits. Prerequisite: STAT 201 or 220 or consent of instructor. Credit may not be received for both STAT 243 and 343. Methods of designing experiments utilizing regression analysis and the analysis of variance. Either semester. Three credits. Prerequisite: STAT 231 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. First semester. Three credits. Prerequisite: STAT 231 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. Second semester. Four credits. Prerequisite: STAT 220 or STAT 230. 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. 271C. Statistical Quality Control and Reliability Either semester. Three credits. Prerequisite: STAT 231. Development of control charts, acceptance sampling and process capability indices, reliability modeling, regression models for reliability data, and proportional hazards models for survival data. 272. Introduction to Biostatistics Either semester. Three credits. Prerequisite: STAT 220 or consent of instructor. 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. 272Q. Introduction to Biostatistics Either semester. Three credits. Prerequisite: STAT 220 or an applied statistics course along with either STAT 230 or MATH 231 or instructor consent. Either semester. Three credits. Prerequisite: STAT 231 or consent of instructor. 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. 284. Probability and Statistics Problems Either semester. One or two credits. Hours by arrangement. Prerequisite: MATH 231 and STAT 230. Not open for credit to students who have passed MATH 284Q. Designed to help students prepare for the second actuarial examination. 286. Introduction to Operations Research (Also offered as MATH 286 and STAT 356.) Either semester. Three credits. Prerequisite: MATH 231 or STAT 220 or 230. Not open for credit to students who have passed MATH 286 or STAT 356. 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. 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 220 or STAT 230 and STAT 242 or STAT 243. 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. Either semester. Three credits. With a change in topic, may be repeated for credit. Prerequisites and recommended preparation vary. 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. Either semester. Credits and hours by arrangement. With a change in content, may be repeated for credit. Prerequisites and recommended preparation vary. Either semester. Credits and hours by arrangement. Open only with consent of instructor. May be repeated for credit.
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