Corso di Dottorato “Design of experiments: classical results and recent advances”, Prof. Anatoly Zhigljvsky, Cardiff University, UK

“Design of experiments: classical results and recent advances”
Prof. Anatoly Zhigljvsky, Cardiff University, United Kingdom
 
Abstract:

The main part of the course will be devoted to the exposition of the classical theory of experimental design in regression including equivalence theorems and numerical methods for construction of optimal designs. At the second part, several recent advances in the theory of optimal design for correlated observations will be discussed.

Contents:

1.      Introduction: general scheme of a scientific experiment, statistics versus design; main principles for designing experiments (simplicity and efficiency), introductory examples

2.      Several basic schemes for construction of factorial designs: 2^(m-k) designs, Latin designs, BIBD.

3.      Brief review of basic facts from regression analysis. Definition of design efficiency and optimality.

4.      Optimality (equivalence) theorems in optimal designs, examples.

5.      Numerical methods for construction of optimal designs.

6.      Design for correlated observations: best linear unbiased estimation (BLUE) and corresponding optimal designs.

7.      Some other areas where designing of experiments has proved to be very useful.

Orari:

Lunedì, 8 aprile 2019, 10.30-12.30 – Aula Seminari DIMES
Martedì, 9 aprile 2019, 9.30-11.30 – Aula Seminari DIMES
Mercoledì, 10 aprile 2019, 16.30-18.30 – Aula Seminari DIMES