Hidden projection properties of some optimal designs

M. L. Aggarwal and Renu Kaul

Statistics & Probability Letters, 1999, vol. 43, issue 1, 87-92

Abstract: Traditionally Plackett and Burman [1946, The design of optimum multifactorial experiments. Biometrika 33, 305-325] designs have been used for screening main effects only because of their complex aliasing patterns. Recently, Wang and Wu [1995, A hidden projection property of Plackett-Burman designs. Statist. Sinica 5, 235-250] studied that these designs have certain hidden projection properties, which allow certain interactions to be entertained and estimated without making additional runs. They attributed the success of Hamada and Wu's [1992, Analysis of designed experiments with complex aliasing. J. Quality Technol. 24, 130-137] strategy for estimating two-factor interactions from Plackett-Burman-type experiments to the hidden projection property. In this paper, we have studied the hidden projection properties of a number of designs in the class of n=1 (mod 4),n=2 (mod 4), and n=3 (mod 4) designs. We have also drawn non-isomorphic interaction graphs making D and Ds efficiency as the underlying criterion.

Keywords: Plackett; and; Burman; designs; D-optimal; designs; Non-orthogonal; designs; Projection; properties; Non-isomorphic; interaction; graphs (search for similar items in EconPapers)
Date: 1999
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