D-Optimal Designs for Binary and Weighted Linear Regression Models: One Design Variable

D-optimality is a well-known concept in experimental design that seeks to select an optimal set of points estimate the unknown parameters statistical model with minimum variance. In this paper, we focus on proving conjecture made by Ford, Torsney and Wu regarding existence class D-optimal designs for binary weighted linear regression models. Our concentration models one variable. The states that, any given level precision, there exists two-level factorial these To prove conjecture, use intuitive approach explores various link functions generalised context establish veracity conjecture. We also present explicit clear plots wherever deemed necessary appropriate further strengthen proofs. results variable, which have important implications efficient experiments fields. These findings contribute development studying provide foundation future research area.