Title
V-optimal mixture designs for the **q**th degree model V-optimal mixture designs for the **q**th degree model
Author
Faculty/Department
Faculty of Applied Economics
Publication type
article
Publication
Amsterdam ,
Subject
Economics
Mathematics
Physics
Chemistry
Computer. Automation
Source (journal)
Chemometrics and intelligent laboratory systems. - Amsterdam
Volume/pages
136(2014) , p. 173-178
ISSN
0169-7439
ISI
000339534500018
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
This paper revisits the problem of finding continuous V-optimal mixture designs for the qth degree model. For this problem, Liu and Neudecker [10] present general analytical expressions for the weights of the points of the simplex-centroid design and claim that the resulting designs are V-optimal. For a problem involving three mixture ingredients, Liu and Neudecker's results are in conflict with those of Laake [6]. We find that Laake's design for three ingredients is superior to that of Liu and Neudecker, and we establish the V-optimality of Laake's design and report V-optimal weights for the points of the simplex-centroid design for cases involvingmore than three ingredients. All newly proposed designs are superior to those of Liu and Neudecker.
E-info
https://repository.uantwerpen.be/docman/iruaauth/db3691/695cb8d1e56.pdf
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