Dr. Chi Song Wong

Department of Mathematics and Statistics

University of Windsor

* Title: *" Optimal design of experiments "

* Abstract:*

This talk will use weighing design for a chemical balance to illustrate

the discipline "optimal design of experiments". A design X is chosen

from a set S of designs such that the corresponding least square

estimator of the mean parameter vector has best precision measured by

one or a set of optimal criteria.Given a design problem, weighing or

otherwise, various techniques for finding extreme-values of real-valued

functions are used and may involve majorization (distribution of

wealth), graph theory or reproducing kernel Hilbert spaces. For

mathematical convenience, S can be extended or restricted to a set T

such that the optimal designs remain in S. Sometimes, the experiment is

subject to a random effect such as noise, X is then chosen to be robust

with respect to this effect.