1-Cox DR e Reid N, 2000, The theory of the design of the experiment, Chapman & Hall- (chap. n. 1 e n.2)
2-Montgomery DC, 1991, Design and analysis of experiment, Wiley- (chapters n. 6,8,9,11). Chapter 11 until the II order, including blocks.
3-Khuri I e Cornell JA, 1987, Response surfaces: design and analyses, Marcel Dekker- (chap. n. 1, 5, 7, 10).
4-Berni R., Pallottini A., 2006, “Split-plot e robust design”, Quaderni del Dipartimento, Dipartimento di Statistica "G. Parenti", Firenze University Press- on web:
http://www.ds.unifi.it/ricerca/pubblicazioni/quaderni/quaderni_doc/quaderno2006_02.pdf
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.