Methods are presented for the determination of the alias matrix of two-factor interactions for the orthogonal main-effect 2 n 3 m plans catalogued by Addelman and Kempthorne. This catalogue includes Placket-Burman designs and designs obtained by replacement in 2 n–p plans or collapsing in 3 m–m plans. Systematic methods are included to facilitate the data computations. For standard r n–p factorial designs, techniques are given to determine a set of live factors, a generating set of linear sum congruences and the alias matrix. Additional orthogonal main-effect 2 n 3 m designs are constructed to supplement the Addelman-Kempthorne catalogue of designs.
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Barry H. Margolin (1968) studied this question.
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