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Optimal designs for linear mixture models
Author(s) -
Mendieta E. J.,
Linssen H. N.,
Doornbos R.
Publication year - 1975
Publication title -
statistica neerlandica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.52
H-Index - 39
eISSN - 1467-9574
pISSN - 0039-0402
DOI - 10.1111/j.1467-9574.1975.tb00258.x
Subject(s) - mathematics , polyhedron , convex hull , upper and lower bounds , regular polygon , combinatorics , mathematical optimization , linear model , linear programming , algorithm , statistics , geometry , mathematical analysis
Summary In a recent paper S nee and M arquardt [8] considered designs for linear mixture models, where the components are subject to individual lower and/or upper bounds. When the number of components is large their algorithm XVERT yields designs far too extensive for practical purposes. The purpose of this paper is to describe a numerical procedure resulting in a design of fixed size N , which is approximately D ‐optimal, and where the components may be subject to linear constraints (f.e. upper or lower bounds). The proposed method is more generally applicable for models linear in the independent variables and the parameters and the convex hull of the experimental region is a polyhedron whose vertices are known.