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Statistics (STAT)

51 courses in the 1978–79 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.

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 including an introduction to interactive programming. Estimation, hypothesis testing, two-sample techniques and paired comparisons. Contingency tables.

Note Stat 202 is for Science Students only.

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STAT 204 Statistics for the Physical Sciences 1F 20,11 0.5

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

Note Stat 204 is for Science students only.

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

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

Prereq: Stat 202 or 204

Note Stat 205 is for Science students only

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STAT 210 Applied Probability and StatisticsFLW 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.

Note This course is for students in Mechanical Engineering, and is cross listed in Management Sciences as M Sci 21.

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STAT 220 Introduction to Statistical MethodsF,W,S 3C1T 0.5

Descriptive statistics, graphical methods, model! fitting. Probability theory; discrete and continuous random variables..

Prereq: Math 120 or Math 130, one of CS 116, cs 118, CS 140.

Note Stat 220 is not open to Honours Mathematics students. Credit will be given for only one of Stat 220, 230.

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STAT 221 Introduction to Statistical Methods 2F,W,S 30,1T 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 or 230

Note Stat 221 is not open to Honours Mathematics students. Credit will be given for only one of Stat221, 237.

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STAT 230 Probability=F,WS 3CiT 0.5

The laws of probability, discrete and continuous random .

variables, expectation, central limit theorem. Prereq: Math 120 or Math 130.

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

Course Descriptions ; 951 Statistics .

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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.

Note Credit will be given for only one of Stat 221, 2317.

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STAT 270 Mathematics of InvestmentF,W,S = 3C 0.5

The theory of rates of interest and discount. Annunities and sinking funds with practical appreciations to mortgage and bond questions. Yield rates.

Note

Only one of Stat 270, 273 can be taken for credit. Students planning to enroll in Honours Actuarial Science must take Stat 273.

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STAT 273 Mathematics of FinanceF,W 3C 0.5

The theory of rates of interest and discount including the theoretical continuous case of forces of interest and discount. Annunities and sinking funds, including the continuous case. Practical and theoretical applications, primarily to mortgages and bonds. Yield rates.

Prereq: First year calculus.

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STAT 284 Introduction to Life ContingenciesF,W,S 3C 0.5

Applications of probability to problems of life and death. The determination of single and annual premiums for assurances and annuities. Reserves. Company expenses and their incorporation into premium and cash value calculations.

Prereq: Stat 270 or 273

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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.

Note Stat 300 cannot be taken for credit towards a Mathematics degree.

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STAT 330 Introduction to the Theory of StatisticsF,W 3c 0.5

A second course in statistics for the non-specialist. Estimation and hypothesis testing related to the normal distribution. Moment generating functions. Maximum likelihood theory. Bivariate normal distribution. Prereq: Stat 227 or 231

Note . Credit will be given for only one of Stat 330, 350.

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STAT 331 Applied Regression AnalysisF,S 3c 0.5

Review of Normal, t, Chi-squared and F distributions and their applications. Introduction to the design of experiments. Analysis of variance, multiple linear regression.

Prereq: Stat 221 or 231 or the equivalent.

Note Credit will be given for only one of Stat 331, 351.

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STAT 332 SamplingF,S 3C 0.5

Introduction to sampling of survey populations. Elementary sampling designs. Efficiency comparisons for sampling designs and estimation procedures. Prereq: Stat 221 or 231 or the equivalent

Note Credit will be given for only one of Stat 332, 454

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STAT 333 Applied Probability(WC 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

Note credit will be given for only one of Stat 330, 340

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STAT 340 Probability and Stochastic Processes 1F,S 3C O85

Discrete probability models. Random walk models. Recurrent events. Theory and applications of Markov chain models.

Prereq: Stat 221 or 231

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STAT 341 Probability and Stochastic Processes 2W 3c 0.5

Continuous probability distributions. Applications of Poisson and other continuous time stochastic processes. Renewal processes. Stationary processes.

Prereq: Stat340 or consent of instructor

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STAT 350 Mathematical Statistics 1F,W,S 3c 0.5

Continuous random variables; moments and moment generating function; distribution oft, chi-squared, andF, and their applications. Large sample theory. * Prareq: Math 230, Stat231 or consent of instructor

Note Credit will be given for only one of Stat 330, 350.

Course Descriptions Statistics

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STAT 351 Mathematical Statistics 2F,W 3C 0.5

The multivariate normal distribution, its properties and uses; quadratic forms and Cochran's theorem; multiple regression; introduction to the analysis of variance. Prereq: Stat 350, Math 231

Note Credit will be given for only one of Stat 331, 351.

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STAT 373 Finite DifferencesF,W,S 3c 0.5

A course in the calculus of finite differences, to include: summation, numerical integration and differentiation, relation between integration and summation; error theory; topics in numerical analysis.

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STAT 374 Life Contingencies — Single Lite FunctionF,W,S 3C 0.5

An advanced course on problems with single lives, including population theory.

Prereq: Stat 284

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STAT 383 Topics in Actuarial MathematicsFLW 3L 0.5

Topics in Actuarial Mathematics for students intending to take the professional examinations.

Prereq: Stat 273, 373

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STAT 384 Life Contingencies — Multiple Life FunctionsF,W 3c 0.5

An advanced course on problems with multiple lives; multiple decrement theory; accidental death and disability benefits.

Prereq: Stat 374

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STAT 430 Experimental Design 1F,S 2c 0.5

The requirements for a good experimental! design prior to the accumulation of data. The concepts of randomization, replication and experimental error as applied to basic designs; the completely randomized block and latin square designs. Analysis of variance. Introduction to factorial designs.

Prereq: Stat331 or 351 or consent of instructor’

Note Credit will be given for only one of Stat 430, 452.

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STAT 431 Experimentat Design 2W 2c 0.5

Factorial experiments, confounding, fractional replication. Applications of designs. Incomplete block designs. Analysis of covariance.

Prereq: Stat 430

Note Credit will be given for only one of Stat 431, 453.

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STAT 440 Exploratory Data AnalysisF,S 2c 0.5

Summary statistics. Transformation of data. Plotting techniques. Probability plots. Analysis of residuals. Random number generation techniques.- Outliers in regression and analysis of variance data. W-statistics and tests for normality. Computational! techniques in multiple unweighted and weighted regression.

Prereq: Stat331 or 351, and ability to programme

in FORTRAN. .

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STAT 442 Statistical Decision TheoryW 3c 0.5

The decision problem, Bayesian and classical analyses; acceptance sampling; sequential procedures; an introduction to the statistical aspects of quality control. Prereq: Stat 221 or 231; Math 220 or 230

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STAT 444 Statistical Methods with Socio-Economic Applications 1$s 2C,1S 0.5

Survey and analysis of typical statistical models in the Social Sciences. Review of regression analysis. Extensions of the linear model. Specification errors. Time series and forecasting.

Prereq: Stat 331 or 351

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STAT 445 Statistical Methods with Socio-Economic Application 2

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STAT 450 Topics in Estimation and Hypothesis TestingF 3C 0.5

Discussion of general inference problems under the headings of point and interval estimation, hypothesis testing, and decision theory. Large sample normal likelinoods, maximum likelinood estimation, theory of UMV estimation, least squares, Neyman-Pearson theory of hypothesis testing.

Prereq: Stat 350/1

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STAT 451 Statistical Inference with Small SamplesW 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 permission of instructor

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STAT 452 Theory of Experimental Design 1F,S 3c 0.5

Logical requirements of designed experiments. Design and analysis of basic complete designs with fixed effects, random effects, or both. Analysis of covariance. Latin squares. Applications.

Prereq:.Stat 331 or 351 or consent of instructor.

Note Credit will be given for only one of Stat 430, 452.

Course Descriptions 353 Statistics

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STAT 453 Theory of Experimental Design 2

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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 or 351

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STAT 455 Sample Survey Design

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STAT 464 Topics in Probability TheoryW 2c 0.5

Prereq: Stat 340/1 or consent of instructor

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STAT 466 Topics in Statistics 1

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STAT 467 Topics in Statistics 2

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STAT 468 Readings In Statistics 1RR 0.5

Note . May or may not be offered 1978-79. See pre-registration lists.

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STAT 469 Readings in Statistics 2R 0.5

Note ‘ May or may not be offered 1978-79. See pre-registration lists.

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STAT 470 Seminar in Actuarial Mathematics 1F 3c 0.5

Selected topics for the advanced actuarial student. Note

May or may not be offered 1978-79. See pre-registration lists.

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STAT 474 Advanced Topics in Actuarial MathematicsF,S 3L 0.5

Topics in Acturial Mathematics for students intending to take the professional examinations.

Prereq: Stat 284, 374, 384, or consent of instructor

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STAT 475 Construction of Life TablesF,S 3C 0.5

Methods of analysis of data to produce raw rates for mortality, morbidity and other tables.

Prereq: Stat 273, 284, or consent of instructor

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STAT 476 Introduction to Demographic StatisticsF,S 3c 0.5

Topics in demography with emphasis on population projections, mortality theories, and construction of life tables.

Prereq or coreq: Stat 284 or consent of instructor

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STAT 477 Risk Theory 1F,S 3c 0.5

Monte Carlo Theory. Distribution of Aggregate claims. Classification of Risk.

Prereq: Stat 330, Math 332b or consent of instructor.

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STAT 480 Seminar in Actuarial Science 2W 3c 0.5

Selected topics for the advanced actuarial student. Prereq: Consent of instructor

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STAT 486 Graduation of Life TablesW 3C 0.5

Methods for determining the underlying trends and eliminating fluctuation in disease, disability, and death data.

Prereq: Stat373

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STAT 487 Risk Theory 2W 3C 0.5

Calculations of net premiums and reinsurance premiums. Ruin theory. Utility theory.

Prereq: Stat 477

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STAT 500 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

Note

Stat 500 is intended for senior undergraduate and graduate students in faculties other than Mathematics. It cannot be taken for credit towards a Mathematics degree.

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STAT 520 Introduction to Mathematical Statistics1.0

Note . May or may not be offered 1978-79. See pre-registration lists.

Course Descriptions

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