CONSTRUCTION OF RESOLVABLE ROW‐COLUMN DESIGNS BASED ON CONTRACTIONS
Cameron Wright, J. A. John, D. Whitaker, E. R. Williams · Australian & New Zealand Journal of Statistics · 2005
Summary This paper defines the contraction of a resolvable row‐column design for more than two replicates. It shows that the (M,S)‐optimality criterion for the row‐column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near‐optimal resolvable row‐column designs. The performance of such an algorithm is compared with an existing algorithm.