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Main effect plans with an additional search property for \(2^ m\) factorial experiments. (English) Zbl 0778.62069

Summary: This paper presents a new series of main effect plans for \(2^ m\) factorial experiments which permit search and estimation of one nonnegligible effect from two and three factor interactions. Plans in the series are balanced arrays (BA) of strength two. A robustness property of such plans is proved. Main effect plans which are near BA of strength two and with the search property are obtained from the robustness property. Some other plans are also given.

MSC:

62K15 Factorial statistical designs
62K10 Statistical block designs
05B05 Combinatorial aspects of block designs
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References:

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