ENBIS: European Network for Business and Industrial Statistics

Supersaturated Designs of Projectivity P=3 or near P=3

22 September 2009, 14:25 – 14:45

Abstract

Submitted by

John Tyssedal

Authors

John Tyssedal and Oddgeir Samset

Affiliation

NTNU

Abstract

Supersaturated designs offer a potential useful way to investigate many factors in few experiments i.e. typical screening situations. Their design properties have mainly been evaluated based on their ability to identify and estimate main effects. Projective properties has received little attention. In this paper we show how to construct two-level supersaturated designs for 2(n-2) factors in n runs (n a multiplum of four) of projectivity P=3 or near projectivity P=3 from orthogonal non-regular two-level designs. The designs obtained also have favourable properties such as low maximum absolute value of the inner product between a main effect column and a two-factor interaction column and relatively few types of different projections onto a subset of 3 factor columns.

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