D-OPTIMAL DESIGNS OF EXPERIMENTS WITH NONINTERACTING FACTORS

被引：11

作者：

SCHWABE, R ^{[1
]}

WIERICH, W ^{[1
]}

机构：

[1] FREE UNIV BERLIN,INST MATH 1,D-14195 BERLIN,GERMANY

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1995年 / 44卷 / 03期

关键词：

LINEAR MODEL; ADDITIVE EFFECTS; DISCRETE AND CONTINUOUS FACTORS; MARGINAL MODEL; PRODUCT DESIGN; D-OPTIMALITY; MARGINAL DESIGN;

D O I：

10.1016/0378-3758(94)00052-W

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：

In this paper a general result is presented on the D-optimality of product designs for experiments with non-interacting factors. In particular, D-optimal designs can be constructed as a product of those designs which are D-optimal in the corresponding single-factor models. Results are obtained for the whole parameter vector and for the parameters associated with single factors.

引用

页码：371 / 384

页数：14

共 50 条

[41] D-optimal response surface designs in the presence of random block effects [J].

Goos, P ;

Vandebroek, M .

COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2001, 37 (04) :433-453

[42] Locally D-optimal Designs for Binary Responses in the Presence of Factorial Effects [J].

Wang, Zhongshen ;

Stufken, John .

JOURNAL OF STATISTICAL THEORY AND PRACTICE, 2020, 14 (02)

[43] ON EXACT D-OPTIMAL DESIGNS FOR REGRESSION-MODELS WITH CORRELATED OBSERVATIONS [J].

BISCHOFF, W .

ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 1992, 44 (02) :229-238

[44] D-optimal axial designs for quadratic and cubic additive mixture models [J].

Chan, LY ;

Meng, JH ;

Jiang, YC ;

Guan, YN .

AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 1998, 40 (03) :359-371

[45] A note on D-optimal chemical balance weighing designs with autocorrelated observations [J].

Łukasz Smaga .

Statistical Papers, 2016, 57 :721-730

[46] The effect of dropout on the efficiency of D-optimal designs of linear mixed models [J].

Ortega-Azurduy, S. A. ;

Tan, F. E. S. ;

Berger, M. P. F. .

STATISTICS IN MEDICINE, 2008, 27 (14) :2601-2617

[47] D-optimal design of split-split-plot experiments [J].

Jones, Bradley ;

Goos, Peter .

BIOMETRIKA, 2009, 96 (01) :67-82

[48] An algorithmic approach to construct D-optimal saturated designs for logistic model [J].

Lall, Shwetank ;

Jaggi, Seema ;

Varghese, Eldho ;

Varghese, Cini ;

Bhowmik, Arpan .

JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 2018, 88 (06) :1191-1199

[49] Locally D-optimal Designs for Binary Responses in the Presence of Factorial Effects [J].

Zhongshen Wang ;

John Stufken .

Journal of Statistical Theory and Practice, 2020, 14

[50] Development of a D-optimal robust design model for restricted experiments [J].

Kovach, Jami ;

Cho, Byung Rae .

INTERNATIONAL JOURNAL OF INDUSTRIAL ENGINEERING-THEORY APPLICATIONS AND PRACTICE, 2007, 14 (02) :117-128

← 1 2 3 4 5 →