Hidden projection properties of some optimal designs
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(mod4),n=2(mod4), and n=3(mod4) designs. We have also drawn non-isomorphic interaction graphs making D and Ds efficiency as the underlying criterion. © 1999 Elsevier Science B.V.
Statistics and Probability Letters
Aggarwal, M., & Kaul, R. (1999). Hidden projection properties of some optimal designs. Statistics and Probability Letters, 43 (1), 87-92. https://doi.org/10.1016/S0167-7152(98)00249-1