Courses in STATISTICS (DIVISION 489)

100(300). Introduction to Statistical Reasoning. No credit granted to those who have completed or are enrolled in Soc. 210, Poli.Sci. 280, Stat. 402, 311, 405, or 412, or Econ. 404. (4). (NS).

This course is designed to provide an overview of the field statistics. Course topics include methods of analyzing and summarizing data, statistical reasoning as a means of learning from observations (experimental or sample), and techniques for dealing with uncertainties in drawing conclusions from collected data. Basic fallacies in common statistical analyses and reasoning are discussed and proper methods indicated. Alternative approaches to statistical inference are also discussed. The course emphasis is on presenting basic underlying concepts rather than on covering a wide variety of different methodologies. Course evaluation is based on a combination of two Thursday evening midterm examinations, a final examination and a teaching fellow input. The course format includes three lectures and a laboratory (1 hour per week). Cost:2 WL:3

311/I.O.E. 365. Engineering Statistics. Math. 215 or equivalent. No credit granted to those who have completed or are enrolled in Stat. 405 or 412. One credit granted to those who have completed Stat. 402. (4). (Excl).

Analysis of engineering data associated with stochastic industrial processes. Topics include: fundamentals of distribution analyses; process model identification, estimation, testing of hypothesis, validation procedures, and evaluation of models by regression and correlation. Students are required to use the MTS computer system for problem solving. (Lam)

402. Introduction to Statistics and Data Analysis. No credit granted to those who have completed or are enrolled in Econ. 404 or Stat. 311, 405, or 412. (4). (NS).

In this course students are introduced to the concepts and applications of statistical methods and data analysis. Statistics 402 has no prerequisite and has been elected by students whose mathematics background includes only high school algebra. Examples of applications are drawn from virtually all academic areas and some attention is given to statistical process control methods. The course format includes three lectures and a laboratory (l.5 hours per week). The laboratory section deals with the computational aspects of the course and provides a forum for review of lecture material. For this purpose, students are introduced to the use of a micro-computer package and the Macintosh computer. Course evaluation is based on a combination of three examinations GIVEN WEDNESDAY EVENINGS, a final examination and teaching fellow input. Cost: 2 WL: 3

403. Introduction to Statistics and Data Analysis II. Stat. 402. (4). (Excl).

APPLIED REGRESSION. The course will also cover various topics associated with the general linear model emphasizing applications. Topics include: multiple regression, variable selection, stepwise regression, residual analysis, analysis of variance models, covariance analysis and principal components. OTHER TOPICS. As time allows, the course may cover some aspects of probit and logit analyses, analysis of time series data, reliability analysis, and topics in experimental design. Three hours of lecture and one and one-half hours of lab per week. Cost:2 WL:3 (Smith)

404. Problem Solving in Medical Statistics. Enrollment in Inteflex or permission of instructor. (3). (Excl).

This course is intended to introduce students in the medical sciences to the measurement and interpretation of clinically relevant variables. Applications to the design and analysis of clinical trials and diagnosis are presented. The methodology includes some probability theory, classical inference, and curve fitting. Many of the topics are illustrated through current problems in medicine. Cost:2 WL:4

405/Econ. 405. Introduction to Statistics. Math. 115 or permission of instructor. Juniors and seniors may elect concurrently with Econ. 201 and 202. No credit granted to those who have completed or are enrolled in Stat. 311 or 412. Students with credit for Econ. 404 can only elect Stat. 405 for 2 credits and must have permission of instructor. (4). (Excl).

See Economics 405. (Lee)

412. Introduction to Probability and Statistics. Prior or concurrent enrollment in Math. 215 and CS 183. No credit granted to those who have completed or are enrolled in 311 or 405. One credit granted to those who have completed Stat. 402. (3). (Excl).

The objectives of this course are to introduce students to the basic ideas of probability and statistical inference and to acquaint students with some important data analytic techniques, such as regression and the analysis of variance. Examples will emphasize applications to the natural sciences and engineering. There will be regular homework, including assignments which require the use of MTS, two midterms, and a final exam. Cost:3 WL:3

425/Math. 425. Introduction to Probability. Math. 215. (3). (N.Excl).

See Mathematics 425.

426. Introduction to Mathematical Statistics. Stat. 425. (3). (NS).

This course covers the basic ideas of statistical inference, including sampling distributions, estimation, confidence intervals, hypothesis testing, regression, analysis of variance, nonparametric testing, and Bayesian inference. The sequence of Statistics 425/426 serves as a prerequisite for more advanced Statistics courses. Weekly problem sets, two hourly exams, and one final exam. Cost:2 or 3 WL:3

466/IOE 466. Statistical Quality Control. Statistics 311 or IOE 365. (3). (Excl).

Design and analysis of procedures for forecasting and control of production processes. Topics include: attribute and variables; sampling plans; sequential sampling plans; rectifying control procedures; charting, smoothing, forecasting, and prediction of discrete time series. Cost:2 WL:3

500. Applied Statistics I. Math. 417 and a course in statistics (Stat. 402 or 426); or permission of instructor. (3). (Excl).

Course outline. Linear Models: Definition, fitting, identifiability, multicollinearity, Gauss-Markov theorem, variable selection, diagnostics transformations, influential observations, robust procedures, ANOVA and analysis of covariance, interpretation of results, meaning of regression coefficients, dangers of data ransacking etc. Randomized block, factorial designs. Discrete and categorical data: Logit and probit, loglinear and logistic models, contingency tables. Cost:2 WL:3

502. Analysis of Categorical Data. Stat. 426. (3). (Excl).

Models for categorical data, including contingency tables of three or more dimensions, based on Poisson, multinomial and product multinomial models forced frequencies. The course will concentrate on loglinear models. Significance tests, estimation and exploratory data analyses will be stressed. Cost:2 WL:3

505/Econ. 673. Econometric Analysis. Permission of instructor. (3). (Excl).

This course is designed for first-year graduate students in economics, business, and related subjects. It involves a fairly rigorous development of statistical reasoning and methods relating to hypothesis testing, estimation, and regression analysis. Students are supposed to have had a course in calculus and in introductory statistics. Knowledge of matrix algebra is recommended but not required. Evaluation of students is based on midterm and final examinations and weekly assignments. Students taking this course are expected to take Economics 674 Econometric Analysis II in the following term. Cost:2 WL:3 (Howrey)

506. Statistical Computing. Stat. 426 or 500, and CS 380 or 283, or permission of instructor. (3). (Excl).

Selected topics in statistical computing, including: Monte Carlo procedures, generation of random numbers, computation of estimators, linear and non-linear problems, resampling algorithms, splines, other special topics. Cost:3 WL:3

510. Mathematical Statistics I. Math. 450 or 451, and a course in probability or statistics; or permission of instructor. (3). (Excl).

Review of probability theory including: probability, conditioning, independence, random variables, standard distributions, exponential families, inequalities and a central limit theorem. Introduction to decision theory including: models, parameter spaces, decision rules, risk functions, Bayes versus classical approaches, admissibility, minimax rules, liklihood functions and sufficiency. Estimation theory including unbiasedness, complete sufficient statistics, Lehmann-Scheffe and Rao-Blackwell theorems, and various types of estimators. Cost:3 WL:3

525/Math. 525. Probability Theory. Math. 450 or 451; or permission of instructor. Students with credit for Math. 425/Stat. 425 can elect Math. 525/Stat. 525 for only 1 credit. (3). (Excl).

See Mathematics 525.

570. Experimental Design. Stat. 426 and a basic knowledge of matrix algebra; or permission of instructor. (3). (Excl).

Basic topics and ideas in the design of experiments: randomization tests; the validity and analysis of randomized experiments; randomized blocks; latin and Graeco-Latin squares; plot techniques; factorial experiments; the use of confounding and response surface methodology; weighing designs, lattice and incomplete block and partially balanced incomplete block designs. Cost:4 WL:3

575/Econ. 775. Econometric Theory I. Math. 417 and 425 or Econ. 653, 654, 673, and 674. (3). (Excl).

This course involves a derivation of the required theory in mathematical statistics, and of the main results needed for statistical inference associated with the linear model. The emphasis is on the asymptotic distribution theory as it is applied to the methods of estimation used in econometrics. The course is a prerequisite for Statistics 576 (Econometric Theory II). Cost:2 or 3 WL:3 (Genius)


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