Mathematics 451H is an introductory course in sampling techniques and theory. The course includes a study of several sampling methods: simple random sampling, stratified sampling, systematic sampling, cluster sampling, and multistage sampling. Besides the "ordinary" estimates considered in "basic" courses in statistics, this course also includes a study of ratio estimators, difference estimators, regression estimators and randomized response estimators. As well, this course includes a study of sample size selection, cost considerations and control of errors.
Mathematics: There is no specific mathematics prerequisite for this course. Mathematics requirements are as implicit in the probability and statistics prerequisites listed below. It is assumed that students will be capable of basic applications of algebra and calculus.
Probability and Statistics: Although the course is "introductory" with regard to the sampling theory discussed, it is based on a previous knowledge of probability and statistics. The prerequisites for the course are Mathematics-Statistics 251a and Mathematics-Statistics 252b or Mathematics 355 or equivalent, or permission of the instructor.
Course Meetings: This is a Fall-term course. There will be two basic one-hour meetings per week. These meetings will be used for the presentation of course material and for discussions related to the course assignments. There will be an occasional one-hour tutotial for further discussion of assignments. The tutorials will be scheduled to coordinate with problem sets.
Discussing problems and working out solutions with other students is a natural part of the learning process; however, students ultimately must be able to do problems themselves. Students are expected to produce and to write up their own final solutions individually. Copying from other students is plagiarism. Students should note the following university statement on plagiarism.
Plagiarism is an extremely serious academic offence and carries penalties varying from failure in an assignment to debarment from the University. Definitions, procedures and penalties for dealing with plagiarism are set out in Trent Universityís Policy on Plagiarism which is available on request from every department or college office or from the Registrarís office.