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Courses of Instruction
PREREQUISITES
In all cases, stated course prerequisites are suggested guidelines meant to indicate the type and
level of background that will be assumed in the course. A student lacking the stated prerequisite
or equivalent should consult the instructor before registration.
AVAILABILITY
The Department of Mathematics and Statistics does not offer all of the courses listed in the
Calendar every year. For the most up-to-date information on the availability of courses offered in
the current year, check QCARD or consult with the departmental office, web site, or an academic
adviser.
STAT-251*/0.5 Probability I
3L;1T
Basic probability theory; conditioning; densities, expectation; jointly distributed random
variables, transformations, generating functions, limit laws. Distributions: binomial, Poisson,
hypergeometric, uniform, exponential, gamma, normal, bivariate normal. Elementary random
processes.
COREQUISITE MATH 221* or 280*.
EXCLUSIONS STAT 256*, 356*.
STAT-261*/0.5 Statistics I
3L;1T
Basic methods of data analysis. Statistical estimators and their relative efficiency; method of
moments. Principles of hypothesis testing; tests for: mean, variance of normal
distribution, population proportion. Two-sample tests. Linear regression, least squares, testing
hypotheses about parameters of a linear model; elements of the model diagnostics.
PREREQUISITE STAT 251*.
EXCLUSIONS CHEE 209*; COMM 162*; ECON 250*; NURS 323*; PHED 251*; POLS 385*;
PSYC 202*; SOCY 211*; STAT 263*, 264*, 267*, 367*.
STAT-263*/0.5 Introduction to Statistics
3L
A basic course in statistical methods with the necessary probability included. Topics include
probability models, random variables, distributions, estimation, hypothesis testing, elementary
nonparametric methods.
PREREQUISITE An Ontario Grade 12 mathematics course or equivalent.
EXCLUSIONS BIOL 243*; CHEE 209*; COMM 162*; ECON 250*; GPHY 247*; NURS 323*; PHED
251*; POLS 385*; PSYC 202*; SOCY 211*; STAT 261*, 264*, 267*, 367*.
STAT-264*/0.5 Introduction to Data Analysis and Inference
3L;1P
A CD-ROM-based introductory statistics course covering exploratory data analysis, confidence
intervals, and hypothesis tests for one or two groups, simple linear regression, and contingency
tables. A project is required.
PREREQUISITE Some Grade 12U mathematics or equivalent.
EXCLUSIONS COMM 162*; ECON 250*; GPHY 247*; PSYC 202*; SOCY 211*; STAT 261*, 263*,
267*, 367*.
STAT-353*/0.5 Probability II
3L;1T
Intermediate probability theory as a basis for further study in mathematical statistics and
stochastic processes; probability measures, expectations; modes of convergence of sequences of
random variables; conditional expectations; independent systems of random variables; Gaussian
systems; characteristic functions; Law of large numbers, Central limit theory; some notions of
dependence.
PREREQUISITES STAT 251*, MATH 110 or 111 or 112*, 281*.
EXCLUSION STAT 360.
STAT-361*/0.5 Applied Methods in Statistics I
3L;1T
A detailed study of simple and multiple linear regression, residuals and model adequacy. The
least squares solution for the general linear regression model. Analysis of variance for regression
and simple designed experiments; analysis of categorical data. Sample surveys: basic principles
and methodology; random sampling, stratified sampling, ratio and regression estimates.
PREREQUISITES A course in linear algebra; STAT 251* or 356*; one of STAT 261*, 263*, 264*,
267*, 367*.
EXCLUSION ECON 351*.
STAT-363*/0.5 Fundamentals of Statistical Inference
3L;1T
Decision theory and Bayesian inference; principles of optimal statistical procedures; maximum
likelihood principle; large sample theory for maximum likelihood estimates; principles of
hypotheses testing and the Neyman-Pearson theory; generalized likelihood ratio tests; the chisquare, t, F and other distributions.
PREREQUISITES STAT 251* and 261*. STAT 353* is recommended.
EXCLUSION STAT 360.
STAT-455*/0.5 Stochastic Processes and Applications
3L;1T
Markov chains, birth and death processes, random walk problems, elementary renewal theory,
Markov processes, Brownian motion and Poisson processes, queuing theory, branching
processes. Given jointly with STAT 855*.
PREREQUISITE STAT 353*, or 251* with permission of the instructor.
STAT-461*/0.5 Applied Methods in Statistics II
3L;1P
The emphasis in this course is on practical implementation of a variety of statistical techniques.
The students will use S-Plus in applying different statistical methods to real data. Included in the
applications are: linear and generalized linear models; robust statistics and non-linear models;
modern regression: kernel methods, polynomial regression, splines; discrimination and
classification, neural networks. Given jointly with STAT 866*.
PREREQUISITES STAT 251*, 363*; STAT 353*, 361* are recommended.
COREQUISITE STAT 462*.
STAT-462*/0.5 Computational Data Analysis
2L;2P
An introduction to computer software consistent with modern professional practice of statistics.
Use of the statistical package SAS and S-PLUS. Given jointly with STAT 862*.
PREREQUISITE CISC 101* or equivalent.
COREQUISITE STAT 361* or permission of the instructor.
STAT-464*/0.5 Discrete Time Series Analysis
3L
Autocorrelation and autocovariance, stationarity; ARIMA models; model identification and
forecasting; spectral analysis. Applications to biological, physical and economic data.
PREREQUISITE STAT 361* or permission of the instructor.
STAT-465*/0.5 Quality Management
3L
An overview of the tools used in the measurement and improvement of quality in business,
government and industry today. Factorial and fractional factorial experiments. Includes a project.
PREREQUISITE One of STAT 261*, 263*, 264*, 267* or 367*. Students with a different statistics
background should obtain approval of the instructor.
STAT-486*/0.5 Survival Analysis
3L
Introduces the theory and application of survival analysis: survival distributions and their
applications, parametric and nonparametric methods, proportional hazards models, counting
process and proportional hazards regression, planning and designing clinical trials. Given jointly
with STAT 886*.
PREREQUISITES STAT 360, 361*, 462* or permission of the instructor.
STAT-569*/0.5 Project in Statistical Applications
Investigation of a statistical problem having a genuine practical or theoretical interest, supervised
by a faculty member. In some cases a group of students may work jointly. A written report is
required.
PREREQUISITE Permission of the instructor.
Courses of Instruction in the Faculty of Applied Science
When offered, the following courses in statistics designed for the Faculty of Applied Science are
open to students in the Faculty of Arts and Science. For course descriptions see the Calendar of the
Faculty of Applied Science.
STAT-267*/0.5
Probability and Statistics for Civil and Mining Engineers
STAT-367*/0.5 Engineering Data Analysis
PREREQUISITE First-year calculus.
3L;1P
3L;2P