Undergraduate Course: Sampling Theory and Applications (MATH10061)
Course Outline
| School | School of Mathematics |
College | College of Science and Engineering |
| Course type | Standard |
Availability | Available to all students |
| Credit level (Normal year taken) | SCQF Level 10 (Year 4 Undergraduate) |
Credits | 10 |
| Home subject area | Mathematics |
Other subject area | None |
| Course website |
None |
Taught in Gaelic? | No |
| Course description | Sampling theory is relevant to a wide range of applications ranging from (finite population) sample surveys to Monte Carlo methods and simulation. The course will cover the statistical theory underlying sample surveys including multistage and longitudinal sample designs. Both design and analysis ideas will be illustrated further with reference to financial auditing, compliance and simulation studies. Practical aspects of population sampling (e.g. non-response) will be covered together with methods of dealing with related problems. |
Information for Visiting Students
| Pre-requisites | None |
| Displayed in Visiting Students Prospectus? | No |
Course Delivery Information
| Not being delivered |
Summary of Intended Learning Outcomes
1. Understanding of the principles and theory of probability sampling.
2. Application of these to population surveys.
3. Understanding sampling for rare events.
4. Ability to apply sampling methods to more general problems in statistics.
5. Ability to identify appropriate use of imputation and implementation of imputation algorithms.
6. Ability to analyse and interpret results of statistical sampling. |
Assessment Information
| Examination 100% |
Special Arrangements
| None |
Additional Information
| Academic description |
Not entered |
| Syllabus |
1. Key concepts in sampling finite populations.
2. Elements of probability sampling.
3. Stratification, cluster sampling.
4. Multistage designs.
5. Two-phase and longitudinal designs.
6. Use of auxiliary information in design and analysis.
7. Imputation methods.
8. Applications in financial auditing and compliance.
9. Applications in simulation. |
| Transferable skills |
Not entered |
| Reading list |
Not entered |
| Study Abroad |
Not entered |
| Study Pattern |
Not entered |
| Keywords | STA |
Contacts
| Course organiser | Prof Jim Wright
Tel: (0131 6)50 8570
Email: J.R.Wright@ed.ac.uk |
Course secretary | Mrs Alison Fairgrieve
Tel: (0131 6)50 5045
Email: Alison.Fairgrieve@ed.ac.uk |
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