D-OPTIMAL DESIGNS OF EXPERIMENTS WITH NONINTERACTING FACTORS

被引：10

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

[1] SEQUENCES CONVERGING TO D-OPTIMAL DESIGNS OF EXPERIMENTS
ATWOOD, CL
[J]. ANNALS OF STATISTICS, 1973, 1 (02): : 342 - 352
[2] LOCALLY D-OPTIMAL DESIGNS FOR HIERARCHICAL RESPONSE EXPERIMENTS
Ai, Mingyao
Ye, Zhiqiang
Yu, Jun
[J]. STATISTICA SINICA, 2023, 33 (01) : 381 - 399
[3] MONOTONE SEQUENTIAL GENERATION OF D-OPTIMAL DESIGNS OF EXPERIMENTS
ATWOOD, CL
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06): : 2199 - &
[4] On D-optimal robust designs for lifetime improvement experiments
Das, Rabindra Nath
Lin, Dennis Kj.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2011, 141 (12) : 3753 - 3759
[5] D-optimal designs for sorption kinetic experiments: Slabs
Munson-McGee, Stuart H.
Mannarswamy, Aravind
Andersen, Paul K.
[J]. JOURNAL OF FOOD ENGINEERING, 2011, 104 (03) : 461 - 466
[6] D-optimal designs for sorption kinetic experiments: Cylinders
Munson-McGee, Stuart H.
Mannarswamy, Aravind
Andersen, Paul K.
[J]. JOURNAL OF FOOD ENGINEERING, 2011, 104 (02) : 202 - 207
[7] D-optimal designs
deAguiar, PF
Bourguignon, B
Khots, MS
Massart, DL
PhanThanLuu, R
[J]. CHEMOMETRICS AND INTELLIGENT LABORATORY SYSTEMS, 1995, 30 (02) : 199 - 210
[8] D-optimal designs for mixture experiments with various correlation structures
Li, Chang
Zhang, Chongqi
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 52 (24) : 8828 - 8843
[9] Multiplicative methods for computing D-optimal stratified designs of experiments
Harman, Radoslav
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2014, 146 : 82 - 94
[10] Complex D-optimal designs
Cohn, JHE
[J]. DISCRETE MATHEMATICS, 1996, 156 (1-3) : 237 - 241

← 1 2 3 4 5 →