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Trend-free block designs for varietal and factorial experiments. (English) Zbl 0729.62067

Summary: Some general results on the existence of trend-free and partially trend- free designs are given for both varietal and factorial experiments. In particular, trend-free properties of cyclic and generalized cyclic designs are investigated. It is shown that, for factorial experiments, certain designs which are not completely trend-free are nevertheless trend-free for estimating a subset of the main effect and interaction contrasts.

MSC:

62K10 Statistical block designs
62K15 Factorial statistical designs
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