ON THE DESCRIPTION AND IDENTIFIABILITY ANALYSIS OF EXPERIMENTS WITH MIXTURES

In a mixture experiment the collinearity problems, implied by the sum to one functional relationship among the factors, have strong consequences on the identification and analysis of regression models for such designs. Here to address these problems, mixture designs are represented as sets of homoge...

Full description

Saved in:
Bibliographic Details
Published in:Statistica Sinica 2007-10, Vol.17 (4), p.1417-1440
Main Authors: Maruri-Aguilar, Hugo, Notari, Roberto, Riccomagno, Eva
Format: Article
Language:English
Subjects:
Algebra
Algebraic Statistics and Computational Biology
Centroids
Coordinate systems
Design analysis
Experiment design
Factorial design
Homogenization
Mathematical rings
Polynomials
Regression analysis
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In a mixture experiment the collinearity problems, implied by the sum to one functional relationship among the factors, have strong consequences on the identification and analysis of regression models for such designs. Here to address these problems, mixture designs are represented as sets of homogeneous polynomials. Techniques from computational commutative algebra are employed to deduce generalized confounding relationships on power products, and to determine families of identifiable models.
ISSN:1017-0405
1996-8507