Seminar on

Use algebraic methods to study complex experimental designs

by

Prof. Henry Wynn, The London School of Economics and Political Science

Abstract. The "algebraic method" in experimental design has proved useful in under standing complex aliasing structures. For any design with multiple factors and having multiple levels one can obtain one or more saturated estimable polynomial models from which significant sub-models may be fitted. In a way similar to the Nyquist theory in times series the more design points one has (eg in a sequential situations) the more terms one can have in the model, but the situation quickly becomes complicated. Some progress can be made if models are restricted to having lower "average degree" in a well defined sense. Another advantage of the algebraic method is a better understanding of interactions in complex situations.