A-Optimal Weighing Designs with n ≡ 3(mod4) and their Information Matrix Form
1992
In cases of constructing weighing (or factorial) designs, the problem of optimality arises. In this paper we study the form of the information matrices of A-Optimal Weighing Designs (n,k,sopt) (abrv. A-OWD), when the number of observations is n≡3(mod4). We are interested in critical values ko(n) for which the next statement is valid: “If k ≥ko(n) then M k * ≠ (n+1)·Ik−Jk, where Ik is the identity matrix of order k and Jk is a k×k matrix with all its entries equal 1”. The symbol (*) on the information matrix Mk means A-optimality.
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