The Simplex-Centroid Design for Experiments with Mixtures

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 01, 1963
Source ID
10.1111/j.2517-6161.1963.tb00506.x

Entities

People

  • Henry Scheffé

Organizations

  • Office of Naval Research
  • University of California, Berkeley

Tags

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Statistical inference.