Three parallel flats designs for two-level factorial experiments. (English) Zbl 0992.62073

Chai, F. S.; Liao, C. T.

Aust. N. Z. J. Stat. 43, No. 1, 113-119 (2001).

Summary: This paper investigates the properties of the class of three parallel flats designs for two-level factorial experiments. It shows that the designs constructed from this class of designs can have a very simple correlation structure. The correlation of any pair of best linear unbiased estimators of factorial effects is \(0,\;1/3\) or \(1/2\). Furthermore, the designs obtained also have high D-efficiency. Finally, a class of designs is generated with run-size \(N=12\) to illustrate the use of the theorems.

MSC:

62K15	Factorial statistical designs
62J05	Linear regression; mixed models

Keywords:

DETMAX algorithm; fractional factorial designs; single flat designs