UCL - Plans expérimentaux: cours et exercices

[STAT2320A]

[22.5h + 5.5h] 3 credits

This course is taught in the 1st semester.

Teacher(s):

Language: French

Level: Second

Aims
Main themes
Content and teaching methods
Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Aims

At the end of the course, the student will be awared of the interest of using a methodology to design experiments that provides a maximum information at the lower cost. He will gain knowledge on different possible classes of experimental designs and on the statistical methods available to analyse experiment results.

Part a of the course can be followed independently of part B.

Main themes

- Experimental cycle and strategies
- Linear regression as a tool to analyse the results of a designed experiment
- Problem formalisation and qualities of an experimental design
- Factorial designs and derivatives
- Designs for the estimation of response surfaces
- Optimal designs
- Experimental design as viewed by Taguchi
- Designs for mixture experiments
- Simultaneous optimisation of several responses
- Simplex and EVOP methodology to optimise one response
The course includes 2 parts. Part A of the course can be followed independently of the part B:
- Partim A: theory and exercises.
- Partim B: project of application.

Content and teaching methods

The themes discussed in this course are :
- Experimental cycle and strategies
- Linear regression as a tool to analyse the results of a designed experiment
- Problem formalisation and qualities of an experimental design
- Factorial designs and derivatives
- Designs for the estimation of response surfaces
- Optimal designs
- Experimental design as viewed by Taguchi
- Designs for mixture experiments
- Simultaneous optimisation of several responses
- Simplex and EVOP methodology to optimise one response

Each course subject is presented on a case study.

Other information (prerequisite, evaluation (assessment methods), course materials recommended readings, ...)

Prerequistes
Basis courses in statistics. Course in linear models.

Evaluation:
For all: written test on the course content and practical work.
For those who follow the partim B: elaboration of a personal applied (in groups of 1 or 2) with oral discussion of work.

Reference :
Box G. et Draper N. et H. Smith [1987], Empirical Model-Building and Response Surfaces, Wiley, New York
Khuri A. et Cornell J., [1987], Response surfaces: designs and analyses, Marcel Dekker.
Myers R.H., Douglas C. Montgomery [1995], Response Surface Methodology: Process and Product Optimization Using Designed Experiments. Wiley