ENBIS-16 in Sheffield

11 – 15 September 2016; Sheffield Abstract submission: 20 March – 4 July 2016

The Use of the Algebraic Method in the Design of Experiments

12 September 2016, 14:30 – 15:00

Abstract

Submitted by
Henry Wynn
Authors
Henry Wynn (London School of Economics)
Abstract
The use of Grobner bases in experimental design allows extensive study of the alias structure of both newly generated design and existing families of designs. It also shows how there is a Nyquist-type frontier
showing what the limits of identifiability are for all polynomial models.
A new application is via a type of duality which explains the use
of certain type of design in quadrature. There are many open problems,
foremost of which is to link the algebraic methods to optimal design, and their use in complex areas such as intervention in causal models defined by directed acyclic graphs (DAGs).

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