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

27 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

Access to Document

10.1007/BF02717093

Fingerprint Dive into the research topics of 'Experiments with mixtures: Optimal allocations for Becker's models'. Together they form a unique fingerprint.

Cite this

@article{f0d1ccbfc6264b85ab2e80a08b29cf66,

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.",

keywords = "A-, D- and I-optimal allocations, Becker's models, Experiments with mixtures, Scheff{\'e}'s canonical polynomials, Weighted simplex-centroid design",

author = "Shuangzhe Liu and Heinz Neudecker",

year = "1997",

month = jan,

day = "1",

doi = "10.1007/BF02717093",

language = "English",

volume = "45",

pages = "53--66",

journal = "Metrika",

issn = "0026-1335",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Experiments with mixtures

T2 - Optimal allocations for Becker's models

AU - Liu, Shuangzhe

AU - Neudecker, Heinz

PY - 1997/1/1

Y1 - 1997/1/1

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

KW - Becker's models

KW - Experiments with mixtures

KW - Scheffé's canonical polynomials

KW - Weighted simplex-centroid design

UR - http://www.scopus.com/inward/record.url?scp=0040007386&partnerID=8YFLogxK

U2 - 10.1007/BF02717093

DO - 10.1007/BF02717093

M3 - Article

AN - SCOPUS:0040007386

VL - 45

SP - 53

EP - 66

JO - Metrika

JF - Metrika

SN - 0026-1335

IS - 1

ER -

Experiments with mixtures: Optimal allocations for Becker's models

Abstract

Access to Document

Other files and links

Cite this