The fraction of simplex-centroid mixture designs

Title & Authors
The fraction of simplex-centroid mixture designs
Kim, Hyoung Soon; Park, Dong Kwon;

Abstract
In a mixture experiment, one may be interested in estimating not only main effects but also some interactions. Main effects and interactions may be estimated through appropriate designs such as simplex-centroid designs. However, the estimability problems, implied by the sum to one functional relationship among the factors, have strong consequences on the confounding and identifiability of models for such designs. To handle these problems, we address homogeneous polynomial model based on the computational commutative algebra (CCA) instead of using $\small{Scheff{\acute{e}}s}$ canonical model which is typically used. The problem posed here is to give how to choose estimable main effects and also some low-degree interactions. The theory is tested using a fraction of simplex-centroid designs aided by a modern computational algebra package CoCoA.
Keywords
$\small{Gr{\ddot{o}}bner}$ basis;homogeneous polynomial;ideal;simplex-centroid design;
Language
Korean
Cited by
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