Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 37, Issue 13, Pages 2095-2115Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03610920701824257
Keywords
Hyper-spheres; mixture ingredients; mixture simplex; pseudo-components; restricted mixture design region; simplex-lattice design; space filling design
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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.
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