Nearly Uniform Designs for Mixture Experiments

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Abstract
Nearly uniform mixture designs using the centers of inscribed hyper-spheres within the mixture simplex are considered. The uniformity properties of these designs compare favorably with designs produced using more complicated methods. This is particularly so when the design region is the full or reduced mixture simplex produced when bounds are placed on the mixture ingredients. When the restricted region is not too different from a simplex, these designs may be projected into this restricted region to produce nearly uniform designs. When the bounds create an elongated restricted mixture region, an alternative method of generating nearly uniform mixture designs is described.