Optimum Designs for Optimum Mixtures in Multiresponse Experiments

被引：6

作者：

Mandal, N. K. ^{[1
]}

Pal, Manisha ^{[1
]}

机构：

[1] Univ Calcutta, Dept Stat, Kolkata, India

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2013年 / 42卷 / 05期

关键词：

Invariance; Linear optimality criteria; Mixture experiment; Multiple responses; Optimal design; Weighted centroid design; SIMPLEX-DESIGNS; REGRESSION-MODEL;

D O I：

10.1080/03610918.2012.657320

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Optimal designs for estimating the parameters and also the optimum factor combinations in multiresponse experiments have been considered by various authors. However, till date, in mixture experiments optimum designs have been studied only in the single response case. In this article, attempt has been made to investigate optimum designs for estimating optimum mixing proportions in a multiresponse mixture experiment.

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页码：1104 / 1112

页数：9

相关论文

共 19 条

[1] OPTIMAL AND EFFICIENT DESIGNS OF EXPERIMENTS [J].

ATWOOD, CL .

ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (05) :1570-&

[2] ON D-OPTIMAL DESIGNS FOR LINEAR-MODELS UNDER CORRELATED OBSERVATIONS WITH AN APPLICATION TO A LINEAR-MODEL WITH MULTIPLE RESPONSE [J].

BISCHOFF, W .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1993, 37 (01) :69-80

[3] Optimal designs for dual response polynomial regression models [J].

Chang, FC ;

Huang, MNL ;

Lin, DKJ ;

Yang, HC .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2001, 93 (1-2) :309-322

[4] SOME PROPERTIES OF MULTIRESPONSE D-OPTIMAL DESIGNS [J].

CHANG, SI .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (02) :256-262

[5] Kiefer ordering of simplex designs for first- and second-degree mixture models [J].

Draper, NR ;

Pukelsheim, F .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1999, 79 (02) :325-348

[6] Kiefer ordering of simplex designs for second-degree mixture models with four or more ingredients [J].

Draper, NR ;

Heiligers, B ;

Pukelsheim, F .

ANNALS OF STATISTICS, 2000, 28 (02) :578-590

[7]

Fedorov V., 1972, Theory of Optimal Experiment

[8] COMPARISON OF SIMPLEX DESIGNS FOR QUADRATIC MIXTURE-MODELS [J].

GALIL, Z ;

KIEFER, J .

TECHNOMETRICS, 1977, 19 (04) :445-453

[9] Optimum designs for a multiresponse regression model [J].

Imhof, L .

JOURNAL OF MULTIVARIATE ANALYSIS, 2000, 72 (01) :120-131

[10]

KIEFER J, 1961, ANN MATH STAT, V32, P298, DOI 10.1214/aoms/1177705160