Extreme Vertices Designs for Linear Mixture Models

1974/08/01 by Ronald D. Snee, Donald W. Marquardt
Decision Sciences · Computer Science · Mathematics · #Optimal Experimental Design Methods #Advanced Multi-Objective Optimization Algorithms #Statistical Methods in Clinical Trials

paper · doi:10.1080/00401706.1974.10489209

Abstract

Extreme vertices designs are useful in experimentation with mixtures, particularly when the response can be described by a linear model. An algorithm is proposed for selecting a subset of extreme vertices when the number of candidate vertices is large. This algorithm has been found to produce designs which generally have small trace (X'X)−1, indicating the average variance of the estimated coefficients in the linear model will be small.

Citations

• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
• Computer Aided Design of Experiments

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