The Simplex-Centroid Design for Experiments with Mixtures
- 1 July 1963
- journal article
- research article
- Published by Oxford University Press (OUP) in Journal of the Royal Statistical Society Series B: Statistical Methodology
- Vol. 25 (2) , 235-251
- https://doi.org/10.1111/j.2517-6161.1963.tb00506.x
Abstract
A new design for experiments with mixtures of q components comprises the 2q — 1 points representing the mixtures consisting of all possible subsets of the q components, present in equal proportions. A suitable regression equation is proposed and fitted. Designs and regression equations permitting the introduction of n “process variables” in addition to the q “mixture variables” are considered, and fractional replication of the designs in the case where the process variables are all at two levels.Funding Information
- Office of Naval Research
This publication has 7 references indexed in Scilit:
- Simplex Lattice Designs for Multicomponent SystemsTechnometrics, 1962
- Optimum Designs in Regression Problems, IIThe Annals of Mathematical Statistics, 1961
- Use of Half-Normal Plots in Interpreting Factorial Two-Level ExperimentsTechnometrics, 1959
- A Basis for the Selection of a Response Surface DesignJournal of the American Statistical Association, 1959
- Experiments with MixturesJournal of the Royal Statistical Society Series B: Statistical Methodology, 1958
- Multi-Factor Experimental Designs for Exploring Response SurfacesThe Annals of Mathematical Statistics, 1957
- On the Experimental Attainment of Optimum ConditionsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1951