Document Type
Article
Publication Date
3-4-2017
Abstract
The purpose of mixture experiments is to explore the optimum blends of mixture components, which will provide desirable response characteristics in finished products. D-optimal minimal designs have been considered for a variety of mixture models, including Scheffé's linear, quadratic, and cubic models. Usually, these D-optimal designs are minimally supported since they have just as many design points as the number of parameters. Thus, they lack the degrees of freedom to perform the Lack of Fit tests. Also, the majority of the design points in D-optimal minimal designs are on the boundary: vertices, edges, or faces of the design simplex.
IN THIS PAPER EXTENSIONS OF THE D-OPTIMAL MINIMAL DESIGNS ARE DEVELOPED FOR A GENERAL MIXTURE MODEL TO ALLOW ADDITIONAL INTERIOR POINTS IN THE DESIGN SPACE TO ENABLE PREDICTION OF THE ENTIRE RESPONSE SURFACE: Also a new strategy for adding multiple interior points for symmetric mixture models is proposed. We compare the proposed designs with Cornell (1986) two ten-point designs for the Lack of Fit test by simulations.
Recommended Citation
Li, Yanyan; Raghavarao, Damaraju; and Chervoneva, Inna, "Extensions of D-optimal Minimal Designs for Symmetric Mixture Models." (2017). Department of Pharmacology and Experimental Therapeutics Faculty Papers. Paper 94.
https://jdc.jefferson.edu/petfp/94
PubMed ID
29081574
Language
English
Comments
This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Statistics - Theory and Methods on 4 March 2017, available online: http://www.tandfonline.com/10.1080/03610926.2014.988258