2007/08 Undergraduate Module Catalogue

MATH3743 Design and Analysis of Experiments

15 Credits Class 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 <A HREF="http://www.maths.leeds.ac.uk/school/students/index.html#specific">the schools website</A> 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 5
Lecture 24 1 24
Practical 6 1 6
Private study hours 115
Total Contact hours 35
Total hours (100hr per 10 credits) 150

Methods of Assessment

Coursework
Assessment type Notes % of formal assessment
In-course Assessment . 30
Total percentage (Assessment Coursework) 30

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) 3.0 Hrs Mins 70
Total percentage (Assessment Exams) 70

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: 5/1/2008

Errors, omissions, failed links etc should be notified to the Catalogue Team