# DEGREE REGULATIONS & PROGRAMMES OF STUDY 2015/2016

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DRPS : Course Catalogue : School of Mathematics : Mathematics

# Undergraduate Course: Sampling Theory and Applications (MATH10061)

 School School of Mathematics College College of Science and Engineering Credit level (Normal year taken) SCQF Level 10 (Year 4 Undergraduate) Availability Available to all students SCQF Credits 10 ECTS Credits 5 Summary 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. Course description 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.
 Pre-requisites Students MUST have passed: Algebra (MATH10021) AND Complex Variable & Differential Equations (MATH10033) AND Pure & Applied Analysis (MATH10008) AND ( Statistics (Year 2) (MATH08051) OR Statistics (Year 3) (MATH09021)) Co-requisites Prohibited Combinations Other requirements None
 Pre-requisites None
 Not being delivered
 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.
 None
 Graduate Attributes and Skills Not entered Keywords STA
 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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