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Title
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V-optimal mixture designs for the **q**th degree model
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Author
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Abstract
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| 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. |
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Language
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English
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Source (journal)
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Chemometrics and intelligent laboratory systems. - Amsterdam, 1986, currens
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Publication
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Amsterdam
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2014
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ISSN
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0169-7439
[print]
1873-3239
[online]
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DOI
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10.1016/J.CHEMOLAB.2014.04.019
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Volume/pages
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136
(2014)
, p. 173-178
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ISI
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000339534500018
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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