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, 10).
4-Berni R.,2014 working paper n.10;http://local.disia.unifi.it/wp_disia/2014/wp_disia_2014_10.pdf
5-Atkinson A.C., Donev A.N., 1992, Optimum experimental design, Oxford Statistical Science
Series, Clarendon Press- (chapters n.1, 5, 9, 20).
Regarding Choice-experiments, lectur notes and papers will be supplied by the teacher.
Deep knowledge of the design of experiments: starting from the classical experimental design up to the recent developments, by considering theory and applications in the technological and industrial fields.
Statistical inference; mathematical analysis; linear algebra
and specific organization in: reading and discussion groups
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
Questions will be related to the main arguments of the course, as described in the diploma supplement. Particular attention is payed to the critical and constructive student's abilities
The fundamental theory of response surface methodology is introduced; we consider particularly the 2nd order. In particular: polynomial models, designs and properties, the moment array. A specific attention is devoted to optimization methods (2nd order). The experimental designs are: fractional factorials (at 3 levels and mixed levels), Central Composite design.
The second 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 and Generalized Linear Mixed Models.
The third part is related to optimal designs by considering the general issues and the D, G, T criteria.
Finally, specific attention is payed to choice-experiments, by considering the optimal designs and the specific characteristics of design of experiments when applied to the consumer's behaviour evaluation.
during the initial part (8 hours) of the course, specific attention is devoted to students who did not attend the Statistical Quality Control examination and/or the basic design of experiments in the first level Statistical Degree (or other Degree). For these students materials to integrate the basic knowledge will be supplied.