Experiments with mixtures: Optimal allocations for Becker's models

Shuangzhe Liu; Heinz Neudecker

doi:10.1007/BF02717093

Experiments with mixtures: Optimal allocations for Becker's models

Shuangzhe Liu
, Heinz Neudecker

Research output: Contribution to journal › Article › peer-review

34 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 language	English
Pages (from-to)	53-66
Number of pages	14
Journal	Metrika
Volume	45
Issue number	1
DOIs	https://doi.org/10.1007/BF02717093
Publication status	Published - 1 Jan 1997
Externally published	Yes

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title = "Experiments with mixtures: Optimal allocations for Becker's models",

abstract = "Extending Scheff{\'e}'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.",

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AU - Neudecker, Heinz

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N2 - 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.

AB - 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.

KW - A-, D- and I-optimal allocations

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KW - Experiments with mixtures

KW - Scheffé's canonical polynomials

KW - Weighted simplex-centroid design

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DO - 10.1007/BF02717093

M3 - Article

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Experiments with mixtures: Optimal allocations for Becker's models

Abstract

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