Computer-aided blocking of factorial and response-surface designs. (English) Zbl 0705.62072

Cook, R. Dennis; Nachtsheim, Christopher J.

Technometrics 31, No. 3, 339-356 (1989).

Summary: We consider the problem of blocking response-surface and factorial designs when block sizes are prespecified, often rendering standard approaches inapplicable. A generalization of D. A. Harville’s algorithm [ibid. 16, 589-599 (1974; Zbl 0294.62090)] 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.

MSC:

62K05	Optimal statistical designs
62K15	Factorial statistical designs
62K10	Statistical block designs
65C99	Probabilistic methods, stochastic differential equations

Keywords:

exchange algorithms; incomplete blocks; k-exchange algorithm; response- surface; generating nearly D-optimal block designs; partially balanced incomplete block designs