On The Study Of D-Optimal Saturated Designs For Mean, Main Effects and $F_1$-Two-Factor Interactions For $2^k$-Factorial Experiments.

The goal of this paper is to develop methods for the construction of saturated designs that include the mean, main effects and the two-factor interactions of one factor with a subset of the remaining factors. If one factor is interacting with all the remaining factors give a method for the construction of a d-optimal saturated design. If one factor is interacting with a proper subset of the remaining factor we discuss the saturated d-optimal design for specific cases.