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Construction of minimum aberration blocked two-level regular factorial designs

Sheng-Li Zhao and Peng-Fei Li

Communications in Statistics - Theory and Methods, 2016, vol. 45, issue 17, 5028-5036

Abstract: In this article, we consider the construction of minimum aberration 2n − k: 2p designs with respect to some existing combined wordlength patterns, where a 2n − k: 2p design is a blocked two-level design with n treatment factors, 2p blocks, and N = 2q runs with q = n − k. Two methods are proposed for two situations: n ⩽ 2q − p − 1 and n > N/2. These methods enable us to obtain some new minimum aberration 2n − k: 2p designs from existing minimum aberration unblocked and blocked designs. Examples are included to illustrate the theory.

Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/03610926.2014.935433

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