Doubling and projection: a method of constructing two-level designs of resolution iv

Details Doubling and projection: a method of constructing two-level designs of resolution iv Doubling and projection: a method of constructing two-level designs of resolution iv

2006-05-23

arxiv.org/abs/math/0605616v1

Annals of Statistics 2006, Vol. 34, No. 1, 546-558

Mathematics

Statistics Theory

Published at http://dx.doi.org/10.1214/009053605000000813 in the Annals of Statistics (http://www.imstat.org/aos/) by the Inst

Scientific paper

10.1214/009053605000000813

Given a two-level regular fractional factorial design of resolution IV, the method of doubling produces another design of resolution IV which doubles both the run size and the number of factors of the initial design. On the other hand, the projection of a design of resolution IV onto a subset of factors is of resolution IV or higher. Recent work in the literature of projective geometry essentially determines the structures of all regular designs of resolution IV with $n\geq N/4+1$ in terms of doubling and projection, where $N$ is the run size and $n$ is the number of factors. These results imply that, for instance, all regular designs of resolution IV with $5N/16

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