Projection Properties of Factorial Designs for Factor Screening

The role of projection in screening is discussed and a review of projection properties of factorial designs is provided. The “projection of a factorial design onto a subset of factors” is the subdesign consisting of the given subset of factors (or, equivalently, the subdesign obtained by deleting the complementary set of factors). A factor-screening design with good projections onto small subsets of factors can provide useful information when a small number of active factors have been identified. The emphasis in this chapter is placed on projection properties of nonregular designs with complex aliasing. The use of projection in search designs and uniform designs is also discussed briefly.

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