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2007/08 Undergraduate Module Catalogue

MATH3743 Design and Analysis of Experiments

15 creditsClass Size: 100

Module manager: Dr C.A. Gill
Email: c.a.gill@leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2007/08

Pre-requisites

MATH2730

Analysis of Experimental Data

This module is approved as an Elective

Module summary

Prerequisite: MATH2730 Informal description: Following on from the second year module on analysis of variance, more complex models allowing more factors and their interactions will be covered. The principles of experimental design will be introduced through experiments based on two level factors, and then applied to the problem of response surfaces. See the schools website or contact: a.slomson@leeds.ac.uk for more information.

Objectives

To study the theoretical and practical aspects of experimental design and analysis.
On completion of this module, students should be able to:
(a) analyse and interpret results from factorial experiments;
(b) design factorial experiments;
(c) model a response surface;
(d) perform each of the above using a statistical package.

Syllabus

Following on from the second year module on analysis of variance, more complex models allowing more factors and their interactions will be covered. The principles of experimental design will be introduced through experiments based on two level factors, and then applied to the problem of response surfaces.

Topics covered include:
1. Factorial Experiments. Constraints, estimable functions and contrasts in analysis of variance. Revision of two and three factor models. Interactions. Polynomial contrasts for equally spaced quantitative effects.
2. Experimental Design. factorial experiments. Confounding. Use of half and quarter replicates.
3. Response Surfaces. Response surfaces analysis using linear and quadratic models. Method of steepest ascent/descent and interpretation of quadratic models.

Teaching methods

Delivery type	Number	Length hours	Student hours
Example Class	5	1.00	5.00
Lecture	24	1.00	24.00
Practical	6	1.00	6.00
Private study hours			115.00
Total Contact hours			35.00
Total hours (100hr per 10 credits)			150.00

Methods of assessment

Coursework

Assessment type	Notes	% of formal assessment
In-course Assessment	.	30.00
Total percentage (Assessment Coursework)		30.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Exams

Exam type	Exam duration	% of formal assessment
Standard exam (closed essays, MCQs etc)	3 hr	70.00
Total percentage (Assessment Exams)		70.00

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

Reading list

The reading list is available from the Library website

Last updated: 01/05/2008

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