D-optimal saturated designs for main effects and interactions in 2k-factorial experiments

Francois K. Domagni, A. S. Hedayat and Bikas Kumar Sinha

Statistical Theory and Related Fields, 2024, vol. 8, issue 3, 186-194

Abstract: In a $ 2^k $ 2k-factorial experiment with limited resources, when practitioners can identify the non-negligible effects and interactions beforehand, it is common to run an experiment with a saturated design that ensures the unbiased estimation of the non-negligible parameters of interest. We propose a method for the construction of D-optimal saturated designs for the mean, the main effects, and the second-order interactions of one factor with the remaining factors. In the process, we show the problem is just as hard as the Hadamard determinant problem.

Date: 2024
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DOI: 10.1080/24754269.2024.2341983

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