45 courses in the 1977–78 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
Department of Statistics Undergraduate Course Descriptions
Note . Course descriptions are given under the new departmental course numbers introduced in 1976.
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.
Descriptive statistics. Probability, random variables, discrete and continuous distributions. Estimation and hypothesis testing, goodness of fit.
Note Stat 204 is for Science students only.
Linear regression. Introduction to the design of experiments. Completely randomized and randomized block designs. Analysis of variance. Nonparametric Statistics.
Prereq: Stat 202 or 204
Note Stat 205 is for Science students only.
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 if for students in Mechanical Engineering, and is cross listed in Management Sciences as M Sci 27.
Descriptive statistics, graphical methods, model fitting: correlation, regression and the method of least squares. Probability theory; discrete and continuous random variables.
Prereq: Math 210 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.
Tests of significance, maximum likelihood estimation and large sample theory; estimation and testing in the normal distribution.
Prereq: Stat 220 or 230
Note Stat 221 is not open to Honours Mathematics students. Credit will be given for only one of Stat 221, 231.
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.
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, 231.
The theory of rates of interest and discount. Annuities and sinking funds with practical applications 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.
The theory of rates of interest and discount including the theoretical continuous case of forces of interest and discount. Annuities and sinking funds, including the continuous case. Practical and theoretical applications, primarily to mortgages and bonds. Yield rates.
Prereq: First year calculus.
Course Descriptions Statistics
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
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 Stat300 cannot be taken for credit towards a Mathematics degree.
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 2217 or 231
Note Credit will be given for only one of Stat 330, 350.
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.
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.
Discrete probability modeis. Random walk models. Recurrent events. Theory and applications fo Markov chain models.
Prereq: Stat 227 or 231
Continuous probability distributions. Applications of Poisson and other continuous time stochastic processes. Renewal processes. Stationary processes.
Prereq: Stat 340 or consent of instructor
Continuous random variables; moments and moment generating function; distribution of t, chi-squared, andF, and their applications. Large sample theory.
Prereq: Math 230, Stat 231 or consent of instructor
Note ; Credit will be given for only one of Stat 330, 350.
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, 357.
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.
An advanced course on problems with single lives, including population theory.
Prereq: Stat 284
Course Descriptions 367 Statistics
Topics in Actuarial Mathematics for students intending to take the professional examinations.
Prereq: Stat 273, 373
An advanced course on problems with multiple lives; multiple decrement theory; accidental death and disability benefits.
Prereq:Stat 374
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: Stat 331 or 357 or consent of instructor
Note Credit will be given for only one of Stat 430, 452.
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.
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: Stat 331 or 351, and ability to programme in FORTRAN.
The decision problem, Bayesian and classical analyses; acceptance sampling; sequential procedures; an introduction to the statistical aspects of quality controt. Prereq: Stat221 or 231; Math 220 or 230
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
Note May or may not be offered 1977-78. See pre-registration lists.
Stat445 20,18 5
Statistical Methods with Socio-Economic Applications 2 Structural models, identification, estimation and forecasting. Non-linear estimation. Discussion of data base.
Prereq: Stat 444
Note May or may not be offered 1977-78. See pre-registration lists.
Discussion of general inference problems under the headings of point and interval estimation, hypothesis testing, and decision theory. Large sample normal likelihoods, maximum likelinood estimation, theory of UMV estimation, least squares, Neyman-Pearson theory of hypothesis testing.
Prereq: Stat 350/1
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
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.
Construction and analysis of incomplete designs: tatin square, confounded, fractional factorial, incomplete block. Applications.
Prereq: Stat 452 or consent of instructor
Course Descriptions Statistics
Note Credit will be given for only one ét Stat 431, 453.
Introducton to sample theory and practice. Elementary sampling designs and estimation procedures. Statistical inference in survey sampling. Interrelationships between survey sampling and the design of experiments. Prereq: Stat331 or 351
Procedures for construction of sampling designs commonly used in agricultural, economic and scientific surveys, and corresponding estimation techniques. Validation of survey results.
Prereq: Stat 454
Prereq: Stat 340/1 or consent of instructor
Note May or may not be offered 1977-78. See pre-registration lists.
Prereq: Stat 350/1 or consent of instructor
Note May or may not be offered 1977-78. See pre-registration lists.
Note May or may not be offered 1977-78. See pre-registration lists.
Stat468 R 5 Readings in Statistics 1
Note May or may not be offered 1977-78. See pre-registration lists.
Stat 469 R 5 Readings in Statistics 2
Note May or may not be offered 1977-78. See pre-registration lists.
Topics in Actuarial Mathematics for students intending to take the professional examinations.
Prereq or coreq: Stat 284, 374, 384, or consent of instructor
Methods of analysis of data to produce raw rates for mortality, morbidity and other tables.
Prereq: Stat 273, 284, or consent of instructor
Topics in demography with emphasis on population projections, mortality theories, and construction of life tables.
Prereq or coreq: Stat 284 or consent of instructor
Selected topics for the advanced actuarial student. Prereq: Consent of instructor
Individual and collective risk theory. Ruin theory. Stop loss reinsurance premiums, Monte Carlo methods. Prereq: Stat330, Math 332b or consent of instructor
Methods for determining the underlying trends and eliminating fluctuation in disease, disability, and death data.
Prereq: Stat 373
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.
Note May or may not be offered 1977-78. See pre-registration lists.
Course Descriptions 369