Some New Two-Level Saturated Designs

Abstract

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 by computer searches for design matrices of maximal determinant (D-optimal designs). Recently, two-level saturated designs that are efficient for submodels containing only a few of the factors have been developed. Some of these designs do not estimate the effects of all factors with equal precision. In this article, alternative designs that estimate the effects of all factors with equal precision are obtained from partially balanced incomplete block 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 inflation factor.

• Cyclic Design
• D-Optimality
• Incomplete Block Design
• Plackett-Burman Design

Additional information

Notes on contributors

Ronald B. Crosier

Mr. Crosier is a Statistician in the Research and Technology Directorate.