Design of experiment.

Teacher(s)

Bogaert Patrick; Govaerts Bernadette;

Language

French

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

Aims

At the end of this learning unit, the student is able to :
1	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.

Content

The themes discussed in this course are :

• Experimental cycle and strategies
• Linear regression as a tool to analyze the results of a designed experiment  
• Simultaneous optimization of several responses
• Problem formalization and qualities of an experimental design
• Screening designs
• Factorial designs and derivatives
• Designs for the estimation of response surfaces
• Optimal designs
• Designs for mixture experiments
• Blocking.
• Designs for the estimation of variance components.  

Teaching methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

Lectures (22.5h)

• Methods presentation on the basis of real-life situations.
• Formal but intuitive discussion of theoretical concepts and formulae for most methods.
• Interpretation of software outputs and use of the JMP software in class.
• Interactive lectures: students are encouraged to participate during the course.

 Computer labs (15h)

• Case studies on JMP, methodological exercises, and JMP Output interpretation. 

Homework and projects

• The student is invited to prepare each week an exercise, a quiz or a small project in order to apply and integrate course content.  

Evaluation methods

Due to the COVID-19 crisis, the information in this section is particularly likely to change.

The final evaluation is based on 

• The participation in the homework.
• A written exam.
• A project.
• An oral discussion of the project.

Other information

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

Online resources

See the Moodle site: : https://moodleucl.uclouvain.be/mod/page/view.php?id=537330

Bibliography

• Box G. et Draper N. et H. Smith [1987], Empirical Model-Building and Response Surfaces, Wiley, New York
• Khuri A. et Cornell J., [1996], Response surfaces : designs and analyses, Marcel Dekker.
• Myers R.H., Douglas C. Montgomery [2002], Response Surface Methodology: Process and Product Optimization Using Designed Experiments. Wiley
• Et beaucoup d'autres possibles...

Teaching materials

• Voir le site Moodle: : https://moodleucl.uclouvain.be/mod/page/view.php?id=537330

Faculty or entity

LSBA