## ST3SM-Sampling Methods

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:6
Terms in which taught: Autumn term module
Pre-requisites: ST2LM Linear Models
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Module version for: 2016/7

Module Convenor: Dr Karen Ayres

Summary module description:
Sample surveys are widely used as a means of gathering information about a population of individuals. In this module we consider the design and analysis of several different types of sample survey. Emphasis is placed on understanding the sampling principles which are needed to design efficient sample surveys, as well as on how to estimate population characteristics such as mean, standard deviations and total to allow inference of the population.

Aims:
To introduce students to different sampling methods, and sample designs, and the practicalities associated with them; and to equip them with the skills to analyse data from several different standard sample surveys.

Assessable learning outcomes:
On completion of the module students will have acquired:
•familiarity with the statistical principles of sampling and sample surveys;
• some ability to plan a sample survey;
•some ability to estimate population characteristics from data collected via standard sample surveys;
•an awareness of some of the practical problems of sampling and sample surveys;
• some ability to review other people's sample surveys.

Outline content:
Surveys, objectives and their practicalities.
Sampling with equal probability and using probability proportional to size.
Types of sample surveys: simple random sampling, stratified random sampling, cluster sampling, multi-stage sampling.
Rudimentary sample size.
Estimation of population characteristics such as mean, variability and total for different sampling strategies.

Brief description of teaching and learning methods:
Tutorials of one hour approximately every fortnight. Students are expected to read independently the lecture notes provided by the lecturer, and use the tutorials to improve their understanding of the topics and answer set questions.

Contact hours:
 Autumn Spring Summer Tutorials 5 Guided independent study 95 Total hours by term 100.00 Total hours for module 100.00

Summative Assessment Methods:
 Method Percentage Written exam 70 Written assignment including essay 30

Other information on summative assessment:
Two assignments and one examination.

Formative assessment methods:
Worked examples and problem sheets.

Penalties for late submission:
The Module Convenor will apply the following penalties for work submitted late, in accordance with the University policy.

• where the piece of work is submitted up to one calendar week after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for the piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

• The University policy statement on penalties for late submission can be found at: http://www.reading.ac.uk/web/FILES/qualitysupport/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Length of examination:
Two hours

Requirements for a pass:
A mark of 40% overall.

Reassessment arrangements:
One examination paper of 2 hours duration in August/September - the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus previous coursework marks (70% exam, 30% coursework).