Efficient designs for constrained mixture experiments

被引：6

作者：

Martin, RJ ^{[1
]}

Bursnall, MC ^{[1
]}

Stillman, EC ^{[1
]}

机构：

[1] Univ Sheffield, Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England

来源：

STATISTICS AND COMPUTING | 1999年 / 9卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

algorithms; mixture experiments; optimal design;

D O I：

10.1023/A:1008978116760

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Many practical experiments on mixtures (where the components sum to one) include additional lower or upper bounds on components, or on linear combinations of them. Usually theory cannot be used to obtain a good design, and algorithmic methods are necessary. Some of the available methods are discussed. Their performance is evaluated on some examples, and the form of the optimal design is investigated.

引用

页码：229 / 237

页数：9

共 50 条

[1] Efficient designs for constrained mixture experiments
R. J. Martin
M. C. Bursnall
E. C. Stillman
Statistics and Computing, 1999, 9 : 229 - 237
[2] Further results on optimal and efficient designs for constrained mixture experiments
Martin, RJ
Bursnall, MC
Stillman, EC
OPTIMUM DESIGN 2000, 2001, 51 : 225 - 239
[3] Uniform Designs for Highly Constrained Mixture Experiments
Borkowski, John J.
Piepel, Greg F.
JOURNAL OF QUALITY TECHNOLOGY, 2009, 41 (01) : 35 - 47
[4] SCREENING DESIGNS FOR CONSTRAINED MIXTURE EXPERIMENTS DERIVED FROM CLASSICAL SCREENING DESIGNS
PIEPEL, GF
JOURNAL OF QUALITY TECHNOLOGY, 1990, 22 (01) : 23 - 33
[5] SCREENING DESIGNS FOR CONSTRAINED MIXTURE EXPERIMENTS DERIVED FROM CLASSICAL SCREENING DESIGNS - AN ADDENDUM
PIEPEL, GF
JOURNAL OF QUALITY TECHNOLOGY, 1991, 23 (02) : 96 - 101
[6] BLOCK DESIGNS FOR MIXTURE EXPERIMENTS
NIGAM, AK
ANNALS OF MATHEMATICAL STATISTICS, 1970, 41 (06): : 1861 - 1869
[7] THE GEOMETRY OF CONSTRAINED MIXTURE EXPERIMENTS
CROSIER, RB
TECHNOMETRICS, 1986, 28 (02) : 95 - 102
[8] Robust design for mixture experiments: an efficient class of exchangeable designs for Scheffé polynomials
Garcia Camacha Gutierrez, Irene
Martin Martin, Raul
Polo Sanz, Jose-Luis
Sebastia Bargues, Angela
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2024,
[9] Constrained maximin designs for computer experiments
Stinstra, E
Den Hertog, D
Stehouwer, P
Vestjens, A
TECHNOMETRICS, 2003, 45 (04) : 340 - 346
[10] A new class of designs for mixture-of-mixture experiments
Hanna, Hanen
Tinsson, Walter
STATISTICAL PAPERS, 2015, 56 (02) : 311 - 331

← 1 2 3 4 5 →