Deep knowledge of the design of experiments: starting from the classical experimental design up to the recent developments, by considering theory and applications.
Prerequisites
Statistical inference; mathematical analysis; linear algebra
Teaching Methods
Theory; laboratory;
and specific task for each student (on real data)
Further information
1- For the student who did not attend a course of design of experiments in his/her previous degree, he/she must read the teacher's notes (dispense.pdf) available on the teacher's web-site.
Type of Assessment
Oral examination
Course program
Starting from the local approximation in Taylor's series, the fundamental theory of response surface methodology is introduced, by considering the I and II order. In particular: polynomial models, designs and properties, the moment array. A specific attention is devoted to optimization methods, I and II order. The experimental designs are: fractional factorials (at 2, 3 and mixed levels), Central Composite design.
The second part is related to optimal design by considering the general issues and the D, G, T criteria.
The third part is related to the split-plot design, following the last features and developments of this plan. In this context, the concept of random effect is introduced through the mixed Response Surface models.