This paper investigates mixture experiments in the second-degree Kronecker model. The parameter subspace of interest in this study is maximal parameter subsystem which is subspace of the full parameter space. This subspace is consistent with the estimability and feasibility conditions. Optimal designs are obtained of mixture experiments are derived by employing the Kronecker model approach and applying the various optimality criteria. The current paper show that A- and D-optimal weighted centroid designs exist for two and three ingredients. In this paper, results of D-optimal designs for four and more ingredients are obtained.

mixture experiments, Kronecker product, optimal designs, weighted centroid designs, optimality criteria, moment and information matrices.