A V-optimal design for Scheffé's polynomial model

Shuangzhe Liu; Heinz Neudecker

doi:10.1016/0167-7152(94)00122-O

A V-optimal design for Scheffé's polynomial model

Shuangzhe Liu
, Heinz Neudecker

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

31 Citations (Scopus)

Abstract

In experiments with mixtures, the so-called weighted simplex-centroid design is applied to obtain V-optimal allocation of observations which is shown to be an optimal design over the entire simplex by using the equivalence theorem.

Original language	English
Pages (from-to)	253-258
Number of pages	6
Journal	Statistics and Probability Letters
Volume	23
Issue number	3
DOIs	https://doi.org/10.1016/0167-7152(94)00122-O
Publication status	Published - 15 May 1995
Externally published	Yes

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title = "A V-optimal design for Scheff{\'e}'s polynomial model",

abstract = "In experiments with mixtures, the so-called weighted simplex-centroid design is applied to obtain V-optimal allocation of observations which is shown to be an optimal design over the entire simplex by using the equivalence theorem.",

keywords = "Experiments with mixtures, Optimal allocation and design, Scheff{\'e}'s polynomial model, Weighted simplex-centroid design",

author = "Shuangzhe Liu and Heinz Neudecker",

year = "1995",

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doi = "10.1016/0167-7152(94)00122-O",

language = "English",

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T1 - A V-optimal design for Scheffé's polynomial model

AU - Liu, Shuangzhe

AU - Neudecker, Heinz

PY - 1995/5/15

Y1 - 1995/5/15

N2 - In experiments with mixtures, the so-called weighted simplex-centroid design is applied to obtain V-optimal allocation of observations which is shown to be an optimal design over the entire simplex by using the equivalence theorem.

AB - In experiments with mixtures, the so-called weighted simplex-centroid design is applied to obtain V-optimal allocation of observations which is shown to be an optimal design over the entire simplex by using the equivalence theorem.

KW - Experiments with mixtures

KW - Optimal allocation and design

KW - Scheffé's polynomial model

KW - Weighted simplex-centroid design

UR - https://www.scopus.com/pages/publications/0039964964

U2 - 10.1016/0167-7152(94)00122-O

DO - 10.1016/0167-7152(94)00122-O

M3 - Article

AN - SCOPUS:0039964964

SN - 0167-7152

VL - 23

SP - 253

EP - 258

JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

A V-optimal design for Scheffé's polynomial model

Abstract

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