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Nearly uniform designs for mixture experiments

Nearly uniform designs for mixture experiments
Nearly uniform designs for mixture experiments
Nearly uniform mixture designs using the centres of inscribed hyper-spheres within the mixture simplex are considered. The uniformity properties of these designs compare favourably 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.
hyper-spheres, mixture ingredients, mixture simplex, pseudo-components, restricted mixture design region, space-filling design, simplex-lattice design
0361-0926
2095-2115
Prescott, Philip
cf0adfdd-989b-4f15-9e60-ef85eed817b2
Prescott, Philip
cf0adfdd-989b-4f15-9e60-ef85eed817b2

Prescott, Philip (2008) Nearly uniform designs for mixture experiments. Communications in Statistics: Theory and Methods, 37 (13), 2095-2115. (doi:10.1080/03610920701824257).

Record type: Article

Abstract

Nearly uniform mixture designs using the centres of inscribed hyper-spheres within the mixture simplex are considered. The uniformity properties of these designs compare favourably 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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More information

Published date: January 2008
Keywords: hyper-spheres, mixture ingredients, mixture simplex, pseudo-components, restricted mixture design region, space-filling design, simplex-lattice design
Organisations: Statistics

Identifiers

Local EPrints ID: 55638
URI: http://eprints.soton.ac.uk/id/eprint/55638
ISSN: 0361-0926
PURE UUID: 2acb65e4-74e9-474b-adee-4436d0231804

Catalogue record

Date deposited: 04 Aug 2008
Last modified: 15 Mar 2024 10:56

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