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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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