Some projective properties of fractional factorial designs

Abstract

Fractional factorial designs have a long history of successful use in factor screening experiments. When only a few factors are expected to be relevant, knowledge of their low-dimension projections is valuable. The projection properties of the 2Rn-m fractional factorial design into any k dimensions (k[less-than-or-equals, slant]R) are well known. However, there is no further discussion on the projections of such design into any dimensions which are larger than R. In this paper, we provide a complete characterization of such projections into (R + 1) to (R + [(R - 1)/2]) dimensions.Fractional factorial design Minimum aberration Resolution Wordlength pattern