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Statistics (STAT)

33 courses in the 1983–84 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

Notes

Course Descriptions

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STAT 230 STAT 220/221

Prerequisites involving these core courses will be given in terms of the lowest level acceptable (e.g. ‘Prereq: MATH 230b' implies that MATH 2406 is also acceptable but MATH 220b is not).

2. The Faculty of Mathematics has completed the implementation (begun in 1980/81) of curriculum changes in its Linear and Abstract Algebra core courses. MATH 221a/b, 231a/b, 241 a/b, 321a/b, 331a/b, PMATH 341a/b have been phased out and replaced by MATH 224a/b, 234a/b, 244a/b, 324, 334, PMATH 344. Degree requirements involving Algebra courses in this and subsequent calendars will be described in terms of the new courses. Students who have completed the old Algebra sequence will obviously not be expected to retake courses from the new sequence. Students with at least one half-credit in the old sequence who have not completed the entire sequence must seek clarification of their position by contacting the Mathematics Undergraduate Office. Under no circum- Stances, without writien Faculty approval, should students mix courses

fram the old and new Algebra

sequences.

MATHOOO F.W 1C 0.0

Co-op Orientation

MATH 000 is a non-credit orientation course for new Co-op Math students.

Scanned page 370STAT 230 today

STAT 202 Elementary Statistics for BiologistsF 2C,1L 0.5

Elementary probability, populations, samples and distributions with biological examples. Methods for data summary and presentation inctuding an introduction to interactive programming. Estimation, hypothesis testing, two-sample techniques and paired comparisons. Contingency tables.

For Science students only.

Scanned page 376STAT 202 today

STAT 204 Statistics for the Physical Sciences 1F 2C,1L 0.5

Descriptive statistics. Probability, random variables, discrete and continuous distributions. Estimation and hypothesis testing, goodness of fit. For Science students only.

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STAT 205 Statistics for the Physical Sciences 2W 2C,1L 0.5

Linear regression. Introduction to the design of experiments. Completely randomized and randomized block designs. Analysis of variance. Nonparametric statistics.

Prereq: STAT 202 or 204.

For Science students only.

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STAT 210 Applied Probability and StatisticsF,W 3C,1T 0.5

Laws of probability. Discrete and continuous random variables. Uniform, binomial, Poisson, normal distributions. Sampling from a normal population. Student-t, chi-square, F distributions. Estimation and hypothesis testing. Simple linear regression.

Prereq: MATH 110a/b.

For students in Mechanical Engineering.

Cross-listed as M SC/ 21.

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STAT 220 Introduction to Statistical MethodsF,W 3C,1T 0.5

Probability theory; discrete and continuous random variables, expectation.

Prereq: MATH 130b.

Not open to Honours Mathematics students. Credit will be given for only one of STAT 220, 230.

Scanned page 376STAT 220 today

STAT 221 Introduction to Statistical Methods 2F,W,S 8C,1T 0.5

Tests of significance, maximum likelinood estimation and large sample theory; estimation and testing in the normal distribution. Correlation, regression and the method of least squares.

Prereq: STAT 220.

Not open to Honours Mathematics students. Credit will be given for only one of STAT 221, 237.

Scanned page 376STAT 221 today

STAT 230 ProbabilityF,W,S 3C,1T 0.5

The laws af probability, discrete and continuous random variables, expectation, central limit theorem. Prereq: MATH 130b.

Credit will be given for only one of STAT 220, 230.

Scanned page 376STAT 230 today

STAT 231 StatisticsF,W,S 3C,1T 0.5

Estimation, tests of significance, probability plots. Contingency tables, - normal distribution theory, simple linear regression.

Prereq: STAT 230, MATH 230a.

Credit will be given for only one of STAT 227, 2317.

Scanned page 376STAT 231 today

STAT 300 Principles of Survey DesignW 2C,1T 0.5

The design of surveys of human or natural populations for research and planning. How to take a representative sample; efficient estimation of population quantities and sample size determination; ways of reducing response bias.

Prereq: An introductory half course in Statistics.

Cannot be taken for credit toward a 8Math degree.

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STAT 320 Statistical Methods and TheoryW 3C 0.5

Random variables and distributions. Transformations. Estimation. Testing hypotheses. Large sample theory and maximum likelihood.

Prereq: STAT 221 and MATH 220b. Not open to Honours Mathematics students. Credit will be given for only one of STAT 320, 330.

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STAT 321 Applied Regression AnalysisF,W 3C 0.5

Review of normal theory. Normal linear models. Variable selection. Weighted least squares. Non-normal models. Prereq: STAT 221.

Not open to Honours Mathematics students. .

Credit will be given for only one of STAT 327, 331.

Scanned page 376STAT 321 today

STAT 330 Statistical Theory and MethodsF,W 3C 0.5

Random variables and distribution theory. Functions of random variables. Limiting distributions. Hypothesis testing. Estimation. Large sample theory.

Prereq: STAT 231 and MATH 230b. Credit will be given for only one of STAT 320, 330.

Scanned page 377STAT 330 today

STAT 331 Applied Linear ModelsF,W,S 3C 0.5

Review of normal theory. The multi-

- variate normal distribution. Normal linear models. Variable selection. Extensions to weighted least squares and non-normal models.

Prereq: STAT 231 and MATH 234a. - Credit will be given for only one of STAT 321, 337.

Scanned page 377STAT 331 today

STAT 332 SamplingF,S 3C 0.5

Introduction to survey sampling of populations. Elementary sampling designs. Efficiency comparisons for sampling designs and estimation procedures.

Prereq: STAT 221 or the equivalent. Credit will be given for only one of STAT 332, 454.

Scanned page 377STAT 332 today

STAT 333 Applied ProbabilityF,W,S 3C 0.5

Review of basic probability. Generating functions. Theory of recurrent events. Markov chains, Markov processes, and their applications.

Prereq: STAT 230 or STAT 220/221..

Scanned page 377STAT 333 today

STAT 334 Probability and Stochastic ProcessesW 3C 0.5

Discrete Markov processes. Renewal theory. Branching processes. Stationary processes. Selected topics.

Prereq: STAT 333 or consent of instructor.

Scanned page 377STAT 334 today

STAT 430 Experimental Design 1F 3C 0.5

Introduction to designed experiments. Basic experimental designs. Factorial arrangement of treatments. Confounding and fractional replication. Selected topics.

Prereq: STAT 331 or consent of the instructor..

Scanned page 377STAT 430 today

STAT 431 Experimental Design 2W 3C 0.5

Selected topics in the design and analysis of experiments.

Prereq: STAT 430. May not be offered in 1983-84.

Course Descriptions

Mathematics: Statistics

Scanned page 377STAT 431 today

STAT 440 Exploratory Data AnalysisW 2C 0.5

Summary statistics. Transformation of data. Plotting techniques. Probability plots. Analysis of residuals. Random number generation techniques. Outliérs

* in regression and analysis of variance

data. W-statistics and tests for normality. Computational techniques in multiple unweighted and weighted regression.

Prereq: STAT 321 or 331.

Scanned page 377STAT 440 today

STAT 442 Statistical Methods for Business and IndustryF 2C,1T 0.5

The decision problem. Bayesian and classical analyses. Acceptance sampling. Sequential procedures. An introduction to the statistica! aspects of quality control.

Prereq: STAT 320 or 330.

Scanned page 377STAT 442 today

STAT 443 ForecastingW 3C 0.5

Model building. Multiple regression and forecasting. Exponential smoothing. Box-Jenkins models. Smoothing of seasonal data.

Prereq: STAT 321 or 331.

Scanned page 377STAT 443 today

STAT 444 3C 0.5

An Introduction to E trics Survey and analysis of typical statistical models in Economics and the Sociat

Sciences. Review of regression analysis.

Extensions of the linear model. Specification errors. Time series and forecasting.

Prereq: STAT 331

May not be offered in 1983-84.

Scanned page 377STAT 444 today

STAT 445 Topics in Econometrics0.5

Continuation of STAT 444. Prereq: STAT 444.

May not be offered in 1983-84.

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STAT 450 Estimation and Hypothesis TestingF,S 3C 0.5

Discussion of generai inference problems under the headings of point and interval estimation, hypothesis testing, and decision theory. Large sample normal tikelihoods, maximum liketihood estimation, theory of UMV estimation, least squares, Neyman- Pearson theory of hypothesis testing. Prereq: STAT 330.

Scanned page 377STAT 450 today

STAT 451 Topics in Statistical Inference |W 2C 0.5

Logic of tests of significance; exact tests and confidence intervals; normal approximations accurate for small samples and relationship to the . normality of the likelihood function. introduction to problems involving more than one parameter.

Prereq: STAT 450 or consent of instructor.

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STAT 454 Sampling Theory and PracticeW 3C 0.5

Introduction to sample theory and practice. Elementary sampling and designs.and estimation procedures. Statistical inference in survey sampling. Interrelationships between survey sampling and the design of experiments.

Prereq: STAT 331; STAT 330 is recommended.

Credit will be given for only one of STAT 332, 454.

Scanned page 377STAT 454 today

STAT 455 Sample Survey DesignS 3C 0.5

A continuation of STAT 454.

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STAT 464 Topics in Probability Theory0.5

Prereq: STAT 333/334 or consent of instructor.

May not be offered 1983-84.

Scanned page 377STAT 464 today

STAT 466 Topics in Statistics 10.5

Prereq: STAT 330/331 or consent of instructor.

May not be offered 1983-84. .

Scanned page 377STAT 466 today

STAT 467 Topics in Statistics 20.5

May not be offered 1983-84.

Scanned page 377STAT 467 today

STAT 468 Readings In Statistics 10.5

Scanned page 377STAT 468 today

STAT 469 Readings in Statistics 20.5

Department of Mechanical Engineering

Professor, Chairman of the Department H.W. Kerr, BASc, MASc, PhD (Toronto), PEng

Professor, Associate Chairman Graduate Studies

A. Plumtree, 8Sc, PhD (Nottingham) PEng, CEng, FIM

Professor, Associate Chairman Undergraduate Studies

J.H.G. Howard, 8Sc (Queen's), MSc, PhD (Birmingham), PEng

Professor, Vice President Academic T.A. Brzustowski, BASc (Toronto), AM, Phd (Princeton), PEng

Professor, Director, Office of Research Administration

E.L. Holmes, 8Sc (Bristol), MASc, PhD (Toronto), PEng

Professors

G.M. Bragg, BASc (Toronto), PhD (Cambridge), PEng

E. Brundrett, BSA (OAC), BASc, MASc, PhD (Toronto), PEng

D.J. Burns, BSc, PhD (Bristol), PEng, CEng

R.N. Dubey, BSc (Hons) (Patna), BSc (Eng) (Bihar), PhD (Waterloo), PEng

O. French, BSc, CEng, PEng

K.G.T. Hollands, BASe (Toronto), PhD (McGill), PEng

H.R. Martin, 8Sc, MSc (Queen's Belfast), PhD (Nottingham), PEng

P. Niessen, BSc (McMaster), MASc, PhD { Toronto), PEng

G.F. Pearce, BASc (British Columbia), MASc (Toronto), PEng

R.J. Pick, BASc (British Columbia), MSc (Imperial College), PhD (Waterloo), PEng

K.RA. Piekarski, Dip/ Ing (London), PhD (Cambridge), PEng

G.D. Raithby, BESc, MESc (Western Ontario), PhD (Minnesota), PEng

J.A. Schey, Dipl ing, CSc (Budapest), PEng

P.R. Slawson, BASc, MASc, PhD (Waterloo), PEng

A.B. Strong, BASc (Waterloo), MSc (London), PhD (Waterloo), PEng

D.M.R. Taplin, 8Se (Aston), DPhil (Oxford), DSc, PEng, CEng, FIM

M.M. Yovanovich, BSc (Queen’s), MS (Buffalo), ME, ScD (Massachusetts Institute of Technology)

Course Descriptions 377

Scanned page 377STAT 469 today