Minimum cost trend-free run orders of fractional factorial designs. (English) Zbl 0667.62058

Coster, Daniel C.; Cheng, Ching-Shui

Ann. Stat. 16, No. 3, 1188-1205 (1988).

Author’s summary: Run orders of factorial designs which minimize a cost function based on the number of times the factors change levels during the time sequence in which the runs are performed and which simultaneously have all factor main effects components orthogonal to a polynomial time trend are found for a wide variety of factorial plans. A construction technique based on a generalized foldover scheme is presented.

Reviewer: B.L.Raktoe

MSC:

62K15	Factorial statistical designs
62K05	Optimal statistical designs

Keywords:

fractional factorial designs; Galois field; orthogonal polynomials; trend-free run orders; Run orders of factorial designs; polynomial time trend; generalized foldover scheme