53 courses in the 1979–80 Undergraduate Calendar, read from the scanned original. The text comes from OCR, so check the scanned page before relying on a detail.
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.
Prereq: None
N.B.: Stat 202 is for Science Students only.
Descriptive statistics. Probability, random variables, discrete and continuous distributions. Estimation and hypothesis testing, goodness of fit.
Prereq: None
N.B.: 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
N.B.: 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.
Prereq: Math 110a/b
N.B8.: This course is for students in Mechanical Engineering, and is cross listed in Management Sciences as M Sci 21.
Descriptive statistics, graphical methods, model fitting. Probability theory; discrete and continuous random variables.
Prereq: Math 120a/b, one of CS 116, CS 118, CS 140 N.B.: Stat 220 is not open to Honours Mathematics students. Credit will be given for only one of Stat 220, 230.
Course Descriptions 369 Statistics
Tests of significance, maximum likelihood estimation and large sample theory; estimation and testing in the normal distribution. Correlation, regression and the method of least squares.
Prereq: Stat 220
N.B.: 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 120a/b
N.B.: 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
N.B.. Credit will be given for only one of Stat 227, 237.
The theory of rates of interest and discount. Annunities and sinking funds with practical applications to mortgage and bond questions. Yield rates..
Prereq: Math 120a/b
N.B.: Only ane 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: Math 130a/b
N.B.: Only one of Stat 270, 273 can be taken for credit. Students planning to enroll in Honours Actuarial Science must take Stat 273.
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 and MTHEL 305a
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 halt course in Statistics.
N.B.: Stat 300 cannot be taken for credit towards a BMath degree.
Asecond 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 221
N.B.: 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 the equivalent.
N.B.: Credit will be given for only one of Stat 331, 3517.
Introduction to sampling of survey populations. Elementary sampling designs. Efficiency comparisons for sampling designs and estimation procedures. Prereq: Stat 221 or the equivalent
N.B.: Credit will be given for only one of Stat 332, 454.
Review of basic probability. Generating functions. Theory of recurrent events. Markov chains, Markov processes, and their applications.
Prereq: Stat 230 or Stat 220/221
N.B.: Credit will be given for only one of Stat 333, 340
Discrete probability models. Random walk models. Recurrent events. Theory and applications of Markov chain models.
Prereq: Stat 221 or 231
N.B.: Credit will be given for only one of Stat 333, 340
Course Descriptions Statistics
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, and F, and their applications. Large sample theory. Prereq: Math 230a/b, Stat 231 or consent of instructor N.B.: 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 231a/b
N.B.: Credit will be given for only one of Stat 331, 351.
A course in the calculus of finite differences, to include: summation, numerical integration and differentiation, relation between integration and summation; error theory; topics in numberical analysis.
Prereq: Math 130a/b, 134a/b
An advanced course on problems with single lives, including popluation theory.
Prereq: Stat 284
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 351 or consent of instructor.
N.8.: 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
N.B.: Credit will be given for only one of Stat 437, 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 an ability to program in FORTRAN.
The decision probiem; Bayesian and classical analyses; acceptance sampling; sequential procedures, an introduction to the statistical aspects of quality control. Prereq: Stat 221, Math 220a/b
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 357
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Discussion of general inference problems under the headings of point and interval estimation, hypothesis testing, and decision theory. Large sample norma! likelihoods, maximum likelihood estimation, theory of UMV estimation, least squares, Neyman-Pearson theory of hypothesis testing.
Prereq: Stat 351
Logic 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
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
N.B.: Credit will be given for only one of Stat 430, 452.
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Introduction to sample theory and practice. Elementary sampling and designs and estimation procedures. Statistical inference in survey sampling. Interretationships between survey sampling and the design of experiments.
Prereq: Stat 331 or 351
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Prereq: Stat 340/1 or consent of instructor N.B.: May or may not be offered 1979-80
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Selected topics for the advanced actuarial student. N.B.: May or may not be offered 1979-80
The effects of diseases and non-medical risk factors on bodily systems are explored to determine the amount and incidence of additional morbidity and mortality. Techniques for expressing the increased risk in premiums and reserves are investigated. |
Prereq: Stat 374, MTHEL 305a
Coreq: MTHEL 305b
Topics in Actuarial Mathematics for students intending to take the professional examinations.
Prereq: 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 284, or consent of instructor
Topics in demography with emphasis on population projections, mortality theories, and construction of life tables.
Prereq: Stat 284 or consent of instructor
Monte Carlo Theory. Distribution of Aggregate claims. Classification of Risk.
Prereq: Stat 330, Math 332b or consent of instructor
Selected topics for the advanced actuarial student. Prereq: Consent of instructor
A continuation of Stat 471.
Prereq: Stat 471
N.B.: May or may not be offered 1979-80
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Calculations of net premiums and reinsurance premiums. Ruin theory. Utility theory.
Prereq: Stat 477
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
N.B.: Stat 500 is intended for senior undergraduates and graduate students in faculties other than Mathematics. It cannot be taken for credit towards a Mathematics degree.
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