Optimal 3×3 factorial and 3-ray designs for drug interaction experiments with dichotomous responses

The only information available to an investigator designing an initial combination drug study is for each drug used singly. The designs that we investigated are constructed using this information. Within the major body of the paper we consider experiments using nine points arrived at from 3x3 factorial and 3-ray design plans for which D-optimal solutions are obtained under the hypothesis of no interaction.