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Constructing large Orthogonal Minimally Aliased Response Surface designs by concatenating two Definitive Screening Designs

Orthogonal minimally aliased response surface (OMARS) designs permit the study of quantitative factors at three levels using an economical number of runs. In these designs, the linear effects of the factors are neither aliased with each other nor …

A systematic assessment of Large Language Models for constructing two-level fractional factorial designs

Two-level fractional factorial designs permit the study multiple factors using a limited number of runs. Traditionally, these designs are obtained from catalogs available in standard textbooks or statistical software. However, modern Large Language …

Optimizing Two-Arm Clinical Trials for Personalized Medicine using Integer Programming and Heuristic Algorithms

Subjects with complex diseases, such as malaria and leukemia, can have adverse reactions to the best-known treatments. The personalized medicine approach becomes beneficial because the subjects’ covariates are considered before a treatment …