Experiments with mixtures

Optimal allocations for Becker's models

Shuangzhe Liu, Heinz Neudecker

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

Extending Scheffé's simplex-centroid design for experiments with mixtures, we introduce a weighted simplex-centroid design for a class of mixture models. Becker's homogeneous functions of degree one belong to this class. By applying optimal design theory, we obtain A-, D- and I-optimal allocations of observations for Becker's models.

Original languageEnglish
Pages (from-to)53-66
Number of pages14
JournalMetrika
Volume45
Issue number1
DOIs
Publication statusPublished - 1 Jan 1997
Externally publishedYes

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Optimal Allocation
Centroid
Homogeneous Function
Mixture Model
Experiment
Model
Class
Design
Optimal allocation
Observation
Mixture model
Design theory

Cite this

Liu, Shuangzhe ; Neudecker, Heinz. / Experiments with mixtures : Optimal allocations for Becker's models. In: Metrika. 1997 ; Vol. 45, No. 1. pp. 53-66.
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Experiments with mixtures : Optimal allocations for Becker's models. / Liu, Shuangzhe; Neudecker, Heinz.

In: Metrika, Vol. 45, No. 1, 01.01.1997, p. 53-66.

Research output: Contribution to journalArticle

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