## Module and Programme Catalogue

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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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

 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

Due to COVID-19, teaching and assessment activities are being kept under review - see module enrolment pages for information

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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