Having successfully completed this module, you will be able to:
1) appreciate the advantages and disadvantages of a design for a particular experiment;
2) construct optimal or good designs for a range of practical experiments;
3) understand the potential practical problems in its implementation; and
4) describe how the analysis of the data from the experiment should be carried out.
Emphasis throughout will be on the statistical principles underlying the methods and how they can be applied to and adapted for practical experiments. The following methods will be discussed and practiced.
1) Basic ideas: objectives leading to choice of treatments; randomization to ensure validity of analysis; blocking to separate sources of variation in order to ensure efficiency of analysis.
2) Choice of treatments: replication for unstructured treatments; optimal design for quantitative treatments; the factorial treatment structure and its advantages; incomplete factorial structures, including regular fractional factorials; screening experiments; response surface treatment designs for multiple quantitative factors; optimal design algorithms for choosing multifactor treatment sets.
3) Randomization: randomization theory as a justification of linear models; extension to block designs; inter-block analysis; practical constraints on randomization.
4) Blocking: incomplete block designs for unstructured treatments, including balanced incomplete block designs; confounding for factorial designs; optimal blocked factorial and response surface designs; split-plot and other multi-stratum designs.
5) Special topics: sequential design; computer experiments.
Teaching and learning methods
Lectures, computer practical sessions and self-directed computer work.
Resources and reading list
Key text: Mead, R, Gilmour, SG, and Mead, A (2012) Statistical Principles for the Design of Experiments. Cambridge.
Many other texts are available and all contain some useful information for parts of the course.
Website on Blackboard.
||% contribution to final mark
|Other 2 hour written examination
Referral Method: By examination
Method of Repeat Year:
Repeat year externally.
Costs associated with this course
Students are responsible for meeting the cost of essential
textbooks, and of producing such essays, assignments, laboratory
reports and dissertations as are required to fulfil the academic
requirements for each programme of study.
Please also ensure you read the section on additional costs in the
University’s Fees, Charges and Expenses Regulations in the University
Calendar available at
Course texts are provided by the library and there are no additional compulsory costs associated with the module.