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

[41] Fraction of design space plots for assessing mixture and mixture-process designs [J].

Goldfarb, HB ;

Anderson-Cook, CM ;

Borror, CM ;

Montgomery, DC .

JOURNAL OF QUALITY TECHNOLOGY, 2004, 36 (02) :169-179

[42] Construction of φp-optimal exact designs with minimum experimental run size for a linear log contrast model in mixture experiments [J].

Jin, Baisuo ;

Huang, Mong-Na Lo .

BIOMETRIKA, 2011, 98 (03) :741-747

[43] TRANSIENT ANALYSIS OF CONVEXLY CONSTRAINED MIXTURE METHODS [J].

Donmez, Mehmet A. ;

Ozkan, Huseyin ;

Kozat, Suleyman S. .

2012 IEEE INTERNATIONAL WORKSHOP ON MACHINE LEARNING FOR SIGNAL PROCESSING (MLSP), 2012,

[44] DESIGNS FOR ORDER-OF-ADDITION SCREENING EXPERIMENTS [J].

Stokes, Zack ;

Xu, Hongquan .

STATISTICA SINICA, 2024, 34 (01) :399-419

[45] Designs for two-colour microarray experiments [J].

Bailey, R. A. .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C-APPLIED STATISTICS, 2007, 56 :365-394

[46] Optimum Designs for Optimum Mixtures in Multiresponse Experiments [J].

Mandal, N. K. ;

Pal, Manisha .

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2013, 42 (05) :1104-1112

[47] Mixture and mixture-process variable experiments for paint preparation applications [J].

Hu, Jian .

ADVANCED MATERIALS AND ENGINEERING MATERIALS, PTS 1 AND 2, 2012, 457-458 :1465-1469

[48] MIXTURE DESIGNS FOR Q-COMPONENTS IN ORTHOGONAL BLOCKS [J].

LEWIS, SM ;

DEAN, AM ;

DRAPER, NR ;

PRESCOTT, P .

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-METHODOLOGICAL, 1994, 56 (03) :457-467

[49] Optimum mixture designs under constraints on mixing components [J].

Mandal, Nripes K. ;

Pal, Manisha ;

Sinha, Bikas K. ;

Das, Premadhis .

STATISTICS AND APPLICATIONS, 2008, 6 (1-2) :189-205

[50] Optimal designs for additive mixture model with heteroscedastic errors [J].

Yan, Fei ;

Zhang, Chongqi ;

Peng, Heng .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2017, 46 (13) :6401-6411

← 1 2 3 4 5 →