Some new two-level saturated designs

First-order saturated designs can be orthogonal and have two levels only if the number of design points is a multiple of 4. For other cases, saturated two-level designs have been obtained from balanced incomplete blocks and b y computer searches for design matrices of maximal determinant (D-optimal d esigns). Recently, two-level saturated designs that are efficient for submo dels containing only a few of the factors have been developed. Some of thes e designs do not estimate the effects of all factors with equal precision. In this article, alternative designs that estimate the effects of all facto rs with equal precision are obtained from partially balanced incomplete blo ck designs, The new designs are compared to all previously known designs by A-, D-, E, and G-efficiency, and by the average and maximum variance infla tion factor.