Exact d-optimal n observations 2^k designs of resolution III, when n≏ 1 or 2 mod 4

Abstract

Exact D-optimal N observations designs of resolution III are given when each of the k factors enters at two levels. The upper bound of the determinant of the information matrix is established and designs attaining this value are constructed. These designs cover almost all situations likely to occur in a practical problem. The saturated D-optimal designs are not always balanced.

Keywords:

• D-optimal
• Hadamard matrix
• information matrix
• saturated design