Approximate information matrices for estimating a given set of contrasts. (English) Zbl 0824.62070
Summary: This paper considers the construction of block designs for estimating given sets of treatment contrasts. Necessary and sufficient conditions are given for the form of the matrix \(M\) which minimizes the trace of \(HM^ - H'\), where \(H\) is the contrast matrix. The application of this result in constructing highly efficient designs is illustrated.