University of Toronto at Scarborough 2002/2003 Calendar
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Statistics

• Faculty List
• STAB22H3 Statistics
• STAB47H3 Introduction to Probability Theory and Mathematical Statistics
• STAC57H3 Time Series Analysis
• STAC62H3 Stochastic Processes
• COURSES NOT OFFERED 2002/2003

(B.Sc.)

Faculty List

Discipline Representative: M. Evans (416-287-7274)

Probability and statistics have developed over a period of several hundred years as attempts to quantify uncertainty. With its origins in modeling games of chance, probability theory has become a sophisticated mathematical discipline with applications in such fields as demography, genetics and physics.

Statistics is concerned with the proper collection and analysis of data, both to reduce uncertainty and to provide for its assessment via probability. Applications range from pre-election polling to the design and analysis of experiments to determine the relative efficacies of different vaccines.

STAB22H and STAB47H serve as an introduction to the discipline. The C-level courses build upon the introductory material to provide a deeper understanding of statistical methodology and of its practical implementation.

Please refer to the Physical Sciences Scarborough preamble on page 162 for a list of the Programs offered. The Specialist Program in Mathematics and Statistics has been deleted. Students currently enrolled in this Program may complete it, with the advice of the Program Supervisor (M. Evans,

416-287-7274). Students interested in Programs which involve statistics are referred to the Specialist Programs in Mathematics and Its Applications (page 146) and Computer Science (page 55), and to the Major Program in Mathematical Sciences (page 148).

The Statistics streams of the Specialist Program in Mathematics and Its Applications and the Major Program in Mathematical Sciences are eligible for inclusion in the Co-operative Program in Physical Sciences and the Early Teacher Project in Physical Sciences. Please refer to the Physical Sciences (page 162) and to the Co-operative Programs (page 65) sections of this Calendar for further information.

STAB22H3 Statistics

An introduction to probability and statistics.

The emphasis of the course is on motivation and applications and the treatment is essentially non-mathematical. A statistical computer package is used for most computations; however, no previous experience with a computer is required. The course covers: descriptive statistics, probability and expectation, correlation and regression, sampling, experimental design and methods of statistical inference.

While lectures will be held in this course, all course materials will be available from the course website. It is then possible for some students to elect to do this course via the Web. This option is not recommended for students with weak scientific backgrounds.

Two hours of lecture and two hours of tutorial per week.
Exclusion: ANTC35, (BIOB28), ECOB09, ECOB10, (ECOB11), GGRB31, PSYB07, SOCB06, (STAB52), STA220, STA250

STAB47H3 Introduction to Probability Theory and Mathematical Statistics

An introduction to the mathematical theory of probability and statistics. The course covers: probability models, marginal and conditional probability, expectation, the Weak Law of Large Numbers and the Central Limit Theorem, statistical models, the likelihood function, estimation, hypothesis testing, linear models.

Two hours of lecture and two hours of tutorial per week.
Exclusion: STA257
Prerequisite: [STAB22H or one of its exclusions] & MATB41H

STAC57H3 Time Series Analysis

An overview of methods and problems in the analysis of time series data. Topics covered include descriptive methods, filtering and smoothing time series, identification and estimation of times series models, forecasting, seasonal adjustment, spectral estimation. Instruction in the use of SAS.

Three hours of lecture per week.
Exclusion: STA457
Prerequisite: STAC62H

STAC62H3 Stochastic Processes

This course continues the development of probability theory begun in STAB47H. Topics covered include Poisson processes, Gaussian processes, Markov processes, renewal theory, queuing theory, martingales and stochastic differential equations.

Three hours of lecture per week.
Exclusion: STA347
Prerequisite: STAB47H

COURSES NOT OFFERED 2002/2003