Statistical Theory and Related Fields (Jul 2024)

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

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

DOI
https://doi.org/10.1080/24754269.2024.2341983
Journal volume & issue
Vol. 8, no. 3
pp. 186 – 194

Abstract

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In a [Formula: see text]-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.

Keywords