southampton

Module overview

A well-designed experiment is an efficient way of learning about the world. Typically, an experiment may involve varying several factors and observing the value of a response at settings of combinations of values of these factors. The mathematical challenge is then to choose which settings to use in order to gain the maximum information from the resulting data.

Experiments are performed in all branches of science, engineering and industry. In recent years, traditional application areas such as agriculture, manufacturing, medicine and pharmaceutical science

have been joined by bioinformatics, genetics, drug discovery, finance and economics. Problems of increasing size and complexity from these new areas have led to the development of many new

methods for designing and analysing experiments. The aim of this module is to provide a grounding in the statistical and mathematical methods that underpin the design and analysis of experiments, before exploring a number of areas where recent and ongoing developments are taking place. Mathematical criteria for quantifying the information available from a given design will be defined and explored, and will underpin much of the material in the module.

Examples from a range of application areas will be used to motivate and illustrate the methods. The R statistical computing language will be used for the practical design and analysis of exemplar experiments.

Although MATH2010 and MATH2011 are listed as pre-requisites, interested students who have not taken these modules are encouraged to discuss the module with the Current Module Co-ordinator.

Linked modules

Pre-requisites: MATH2010 AND MATH2011

Learning and Teaching

Teaching and learning methods

Lectures, problem classes, computer workshops and private study

Study time
Type	Hours
Tutorial	12
Independent Study	102
Lecture	36
Total study time	150

Resources & Reading list

Textbooks

Wu, C.F.J. and Hamada, M. (2009). Experiments - Planning, Analysis and Parameter Design Optimization. Wiley.

Box, G. E. P., Hunter, J.S. and Hunter, W.G. (2005). Statistics for Experiments. Wiley.

Atkinson, A., Donev, A. and Tobias, R. (2007). Optimum Experimental Designs, with SAS. Oxford University Press.

Kutner, M.H., Nachtsheim, C.J., Neter, J. and Li, W. (2005). Applied Linear Statistical Models. Irwin.

Assessment

Formative

This is how we’ll give you feedback as you are learning. It is not a formal test or exam.

Assignments and problem sheets

Assessment Type: Formative
Feedback: Scripts with feedback will be returned to the students within a week.
Final Assessment: No
Group Work: No

Summative

This is how we’ll formally assess what you have learned in this module.

Breakdown
Method	Percentage contribution
Coursework	50%
Written assessment	50%

Referral

This is how we’ll assess you if you don’t meet the criteria to pass this module.

Breakdown
Method	Percentage contribution
Written assessment	100%

Repeat Information

Repeat type: Internal & External

Design and Analysis of Experiments