Abstract
A connection between a balanced fractional 2 m factorial design of resolution 2 l + 1 and a balanced array of strength 2 l with index set { μ 0, μ 1,…, μ 2 l } was established by Yamamoto, Shirakura and Kuwada (1975). The main purpose of this paper is to give a connection between a balanced fractional 3 m factorial design of resolution V and a balanced array of strength 4, size N, m constraints, 3 levels and index set {λ l 0l 1l 2 }.
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