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 involving more than three ingredients. All newly proposed designs are superior to those of Liu and Neudecker.

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doi.org/10.1016/j.chemolab.2014.04.019, hdl.handle.net/1765/81787
Chemometrics and Intelligent Laboratory Systems

Goos, P.P, & Syafitri, U. (2014). V-optimal mixture designs for the qth degree model. Chemometrics and Intelligent Laboratory Systems, 136, 173–178. doi:10.1016/j.chemolab.2014.04.019