The concept of R-optimality was introduced in the literature as an alternative to the commonly used D-optimality criteria when the objective is to construct rectangular confidence regions. This present article aspires to extend the notion of R-optimality in mixture experiments. In this study, we obtain saturated R-optimal designs for quadratic canonical polynomial formixture components as well as for different forms of cubic polynomial mixture models, that is, full cubic, cubic without 3-way effect, and special cubic mixture models in three mixture components. The optimality of the proposed designs is confirmed by the equivalence theorem.
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