Cook, R. Dennis; Nachtsheim, Christopher J. (1989, ASQC and the American Statistical Association) University of Minnesota, St. Paul, MN
We consider the problem of blocking response-surface and factorial designs when block sizes are prespecified, often rendering standard approaches inapplicable. A generalization of Harville's (1974) algorithm is given for generating nearly D-optimal block designs and is applied in a number of representative settings. The algorithm is time and space efficient and can be used in conjunction with qualitative treatments for generating many of the classical designs - balanced and partially balanced incomplete block designs, for example.