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## Statistics

J.C. Robinson, MC 6030, ext. 5538

Courses not offered in the current academic year are listed at the end of this section.

Note: More detailed course descriptions and course outlines are available in the Statistics Undergraduate Studies Handbook.

STAT 202 F 3C,1L 0.5
Elementary Statistics for Biologists
Elementary probability, populations, samples and distributions with biological examples. Methods for data summary and presentation. Estimation, hypothesis testing, two-sample techniques and paired comparisons, regression, correlation.
For Science students only

STAT 204 F 3C,1L 0.5
Statistics for the Physical Sciences 1
Descriptive statistics. Probability, random variables, discrete and continuous distributions. Estimation and hypothesis testing, regression, correlation.
For Science students only

STAT 211 F,S 3C,1T 0.5
Introductory Statistics and Sampling for Accounting
Descriptive statistics, probability, discrete and continuous random variables. Sampling distributions and simple hypothesis testing. Introduction to survey sampling.
Prereq: MATH 109
Open only to students from the School of Accountancy

STAT 220 F 3C,1T 0.5
Introduction to Statistical Methods 1
Introduction to design of experiments; descriptive statistics (histograms, summary statistics, stem and leaf plots, correlation); probability (the normal and binomial distributions, other continuous and discrete distributions); chance variability (linear combinations of random variables, the central limit theorem).
Prereq: MATH 108 or equivalent
Not open to Honours Mathematics students
Antireq: STAT 230, 240

STAT 221 W 3C,1T 0.5
Introduction to Statistical Methods 2
Chance models (applied to measurement error and genetics); tests of significance (one- and two-sample z- and t-tests); simple linear regression (including analysis of variance and parameter estimation); survey sampling (including estimation of means, totals and proportions in simple random sampling).
Prereq: STAT 220
Not open to Honours Mathematics students
Antireq: STAT 231, 241

STAT 230 F,W,S 3C,1T 0.5
Probability
The laws of probability, discrete and continuous random variables, expectation, central limit theorem.
Prereq: MATH 137 and second-year standing
Antireq: STAT 220, 240
Also offered at St. Jerome's College in the Fall term

STAT 231 F,W,S 4C, 0.5
Statistics
Empirical problem solving, measurement systems, causal relationships, statistical models, estimation, confidence intervals, tests of significance.
Prereq: STAT 230 or STAT 240
Coreq: MATH 237 or MATH 247
Antireq: STAT 221, STAT 241
Also offered at St. Jerome's College in the Winter term

STAT 240 F,W 3C 0.5
Probability
STAT 240 is an advanced-level enriched version of STAT 230.
Prereq: MATH 138
Antireq: STAT 220, 230

STAT 241 W,S 3C 0.5
Statistics
STAT 241 is an advanced-level enriched version of STAT 231.
Prereq: MATH 237, and STAT 230
Antireq: STAT 221, 231

STAT 304 W 3C,1L 0.5
Statistics for the Physical Sciences 2
Linear regression. Introduction to the design of experiments. Completely randomized and randomized block designs. Analysis of variance.
Prereq: STAT 202 or 204
For Science students only

STAT 311 F,W 3C,1T 0.5
Regression and Forecasting for Accounting
Review of summary statistics and tests of hypothesis. Simple and multiple linear regression. Prediction and diagnostic statistics. Simple smoothing and forecasting.
Prereq: STAT 211
Open only to students from the School of Accountancy

STAT 321 W 3C,1T 0.5
Applied Regression Analysis
Review of normal theory. Normal linear models. Variable selection. Weighted least squares. Non-normal models.
Prereq: STAT 221
Not open to Honours Mathematics students
Antireq: STAT 331

STAT 322 F 3C 0.5
Application of Sampling Surveys
The planning of surveys; simple random sampling; stratified sampling; ratio and difference estimators; cluster and systematic sampling.
Prereq: STAT 221
Not open to Honours Mathematics students
Antireq: STAT 332

STAT 330 F,W 3C 0.5
Statistical Theory and Methods
Random variables and distribution theory. Functions of random variables. Limiting distributions. Hypothesis testing. Estimation. Large sample theory.
Prereq: MATH 237, and STAT 231
Also offered at St. Jerome's College in the Fall term

STAT 331 F,W,S 3C 0.5
Applied Linear Models
Review of normal theory. The multivariate normal distribution. Normal linear models. Variable selection. Extensions to weighted least squares and non-normal models.
Prereq: MATH 235, and STAT 231
Antireq: STAT 321

STAT 332 F,S 3C 0.5
Sampling
Introduction to survey sampling of populations. Elementary sampling designs. Efficiency comparisons for sampling designs and estimation procedures.
Prereq: STAT 231 or equivalent
Antireq: STAT 322

STAT 333 F,W,S 3C 0.5
Applied Probability
Review of basic probability. Generating functions. Theory of recurrent events. Markov chains, Markov processes, and their applications.
Prereq: STAT 230, and third-year standing

STAT 335 F,W 3C 0.5
Statistical Process Control
Philosophy of process control. Control charts and their application. Acceptance sampling. Sequential methods in process control. Assessing the cost of quality. Introduction to experimental design.
Prereq: One of STAT 231, M E 202, M SCI 251, SY DE 214, or consent of instructor

STAT 371 W 3C 0.5
Stochastic OR Models
An introduction to the use of probabilistic models in operations research. Techniques and applications of queueing theory, inventory theory and reliability theory.
Prereq: STAT 333

STAT 430 F,S 3C 0.5
Experimental Design
Introduction to designed experiments. Basic experimental designs. Factorial arrangement of treatments. Confounding and fractional replication. Selected topics.
Prereq: STAT 331 or consent of instructor

STAT 431 W 3C 0.5
Advanced Regression Models and their Application
Review of the normal linear model and maximum likelihood estimation; regression models for binomial, Poisson and multinomial data; generalized linear models; and other topics in regression modelling.
Prereq: STAT 331 or consent of instructor

STAT 433 F 3C 0.5
Stochastic Processes
Point processes. Renewal theory. Stationary processes. Selected topics.
Prereq: STAT 333 or consent of instructor

STAT 440 F 3C 0.5
Statistical Computing
Problems associated with the analysis of stochastic systems and statistical data by computer; simulation techniques, numerical algorithms, programming for statistical problems and statistical packages.
Prereq: STAT 331

STAT 443 F,W 3C 0.5
Forecasting
Model building. Multiple regression and forecasting. Exponential smoothing. Box-Jenkins models. Smoothing of seasonal data.
Prereq: STAT 331 or consent of instructor

STAT 450 W 3C 0.5
Estimation and Hypothesis Testing
Discussion of general inference problems under the headings of point and interval estimation, hypothesis testing and decision theory. Large sample normal likelihoods, maximum likelihood estimation, theory of UMV estimation, least squares, Neyman-Pearson theory of hypothesis testing.
Prereq: STAT 330

STAT 464 0.5
Topics in Probability Theory
Prereq: STAT 333 or consent of instructor
May not be offered 1995-96

STAT 466 0.5
Topics in Statistics 1
Prereq: STAT 330 and 331, or consent of instructor
May not be offered 1995-96

Courses not offered 1995-96
STAT 444 An Introduction to Econometrics
STAT 454 Sampling Theory and Practice
STAT 467 Topics in Statistics 2
STAT 468 Readings in Statistics 1
STAT 469 Readings in Statistics 2