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