Department of Mathematics
D-optimal designs for quadratic mixture canonical polynomials with spline
Experiments with mixtures are special types of experiments in which the response depends only on the proportions of the input variables x=(x 1, ., x q) ', not on the total amount of ingredients. When a response variable cannot be adequately represented by a single polynomial function of the input variable over the entire experimental region, a possible solution is to use a regression model, termed the mixture polynomial with spline, which consists of grafted polynomial submodels. In this paper, we investigate a special mixture polynomial with spline in which the contribution of one ingredient proportion to the response variable, for example, x 1, is different from that of the others, as well as its D-optimal design for the entire experimental region. © 2012 Elsevier B.V.
D-optimality, Mixture experiments, Mixture polynomial with spline
Source Publication Title
Statistics and Probability Letters
Zhang, Chongqi, and Heng Peng. "D-optimal designs for quadratic mixture canonical polynomials with spline." Statistics and Probability Letters 82.6 (2012): 1095-1101.