University of Toronto at Scarborough 2001/2002 Calendar
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(B.Sc.)
M. Evans, B.Sc. (Western Ontario), M.Sc., Ph.D., Professor
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 148 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 135) and Computer
Science (page 51), and to the Major Program in Mathematical Sciences
(page 136).
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
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
Linear algebra for statistics. Multivariate distributions, the multivariate normal and some associated distribution theory. Multivariate regression analysis. Canonical correlation analysis. Principal components analysis. Factor analysis. Cluster and discriminant analysis. Multidimensional scaling. Instruction in the use of SAS.
Exclusion: STA437
Prerequisite: STAC67
Orthogonal projections. Univariate normal distribution theory. The linear model and its statistical analysis, residual analysis, influence analysis, collinearity analysis, model selection procedures. Analysis of designs. Random effects. Models for categorical data. Nonlinear models. Instruction in the use of SAS.
Exclusion: STA302
Prerequisite: STAB47H
STAC52H3
Experimental Design
Exclusion: STA332H
Prerequisite: STAB47H & STAC67H
STAC57H3
Time Series Analysis
Exclusion: STA457H
Prerequisite: STAC62H
STAC62H3
Stochastic Processes
Exclusion: STA347
Prerequisite: STAC47H
University of Toronto at Scarborough 2001/2002 Calendar
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