Faculty of Arts and Science
Introduction to Probability and Statistics
Credit hours: 3.00
Contact hours per week: 3-1-0
Descriptive statistics and graphical representation. Measure of central tendency and dispersion. Elementary probability. Discrete and continuous random variables. Expectation. Binomial, normal and Student's t-distribution. Large and small sample inference and estimation. Central Limit Theorem. Introduction to linear regression and correlation. The use of software in statistics.
Prerequisite(s):One of Mathematics 30-1, Mathematics 30-2, Pure Mathematics 30, Mathematics 0500, Mathematics 0520, admission to the Post-Diploma B.A. in Agricultural Studies, admission to the Post-Diploma B.Sc. in Agricultural Studies, or admission to the B.Sc. in Environmental Science
Lib Ed Req:Science
Survey Design and Analysis
Credit hours: 3.00
Contact hours per week: 3-0-0
Simple random sampling. Stratified sampling. Systematic and cluster sampling. Ratio, regression, and difference estimators.
Prerequisite(s):Statistics 1770
Lib Ed Req:Science
Statistical Inference
Credit hours: 3.00
Contact hours per week: 3-0-1
Hypothesis testing. Comparison of variances. Chi-square distribution. Contingency tables. Elementary design of experiments. Random sampling. Analysis of variance. Regression and correlation. Examples to illustrate the theory are drawn from a wide variety of fields.
Prerequisite(s):Statistics 1770
Mutually Exclusive:
Economics 2900
Substantially Similar:
Economics 2900
Lib Ed Req:Science
Mathematical Probability
Credit hours: 3.00
Contact hours per week: 3-0-0
Sample spaces and the algebra of sets. Kolmogorov axioms for probability. Probability density/distribution functions (pdfs) and cumulative distribution functions (cdfs). Joint and marginal pdfs. Combining and transforming random variables. Moment generating functions (mgfs) and factorial generating functions. Applications to discrete and continuous random variables. Central limit theorem. Order statistics.
Prerequisite(s):One of Mathematics 2560 or Mathematics 2565 AND
Statistics 1770
Recommended Background:
Statistics 2780
Lib Ed Req:Science
Mathematical Statistics
Credit hours: 3.00
Contact hours per week: 3-0-0
Estimating parameters and the fitting of probability distributions. Maximum likelihood estimators and the method of moments. Properties of estimators, including unbiasedness, sufficiency, and consistency. Large sample theory for estimators. Concepts and theory of statistical hypothesis testing. Distributions derived from the Normal distribution. Comparing two samples through hypothesis tests and confidence intervals. Analysis of variance and linear regression.
Prerequisite(s):Statistics 3500
Recommended Background:
Statistics 2780
Lib Ed Req:Science
Design and Analysis of Experiments
Credit hours: 3.00
Contact hours per week: 3-1-0
Basic principles of experimental design. Completely randomized designs. Complete and incomplete block designs. Regression. Analysis of variance and analysis with covariates. Contrasts and multiple comparisons. Factorial models. Random effects and fixed effects. Nested designs, split plot designs and related designs.
Prerequisite(s):One of Statistics 2780 or Economics 2900
Substantially Similar:
Biology 4810
Lib Ed Req:Science
Undergraduate Thesis
Credit hours: 6.00
Contact hours per week: Variable
This is a challenging, work-intensive, research-oriented course in which students will conduct fieldwork, text, library-based or empirical research, submit a report in the form of an Undergraduate Thesis which will be made publicly available, and report orally on the work. In consultation with their Thesis Supervisor, students will define a research problem and formulate a research plan.
Prerequisite(s):Fourth-year standing (a minimum of 90.0 credit hours) AND
A minimum GPA of 3.30 calculated on all completed University of Lethbridge courses or calculated on all University of Lethbridge and transferable courses taken within the terms containing the last 20 courses (60.0 credit hours), whichever is higher
Note:Contact hours will vary. Students should be aware that this course involves regular contact with the Thesis Supervisor as well as considerable independent work.