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

[21] D-optimal and nearly D-optimal exact designs for binary response on the ball
Radloff, Martin
Schwabe, Rainer
[J]. STATISTICAL PAPERS, 2023, 64 (04) : 1021 - 1040
[22] ON D-OPTIMAL DESIGNS FOR BINARY DATA
KHAN, MK
YAZDI, AA
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1988, 18 (01) : 83 - 91
[23] D-optimal designs for covariate models
Dey, Aloke
Mukerjee, Rahul
[J]. STATISTICS, 2006, 40 (04) : 297 - 305
[24] D-optimal fractional factorial designs
Chiu, WY
John, PWM
[J]. STATISTICS & PROBABILITY LETTERS, 1998, 37 (04) : 367 - 373
[25] On the enumeration of some D-optimal designs
Orrick, William P.
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2008, 138 (01) : 286 - 293
[26] MARGINALLY RESTRICTED D-OPTIMAL DESIGNS
COOK, RD
THIBODEAU, LA
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1980, 75 (370) : 366 - 371
[27] SEQUENTIAL CONSTRUCTION OF D-OPTIMAL DESIGNS
TSAY, JY
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1976, 71 (355) : 671 - 674
[28] D-OPTIMAL DESIGNS WITH HADAMARD MATRIX
CHOW, KL
LII, KS
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 179 (01) : 76 - 90
[29] D-Optimal Designs for Covariate Models
Dutta, Ganesh
Das, Premadhis
Mandal, Nripes K.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2014, 43 (01) : 165 - 174
[30] Recent developments in D-optimal designs
Ceranka, B.
Graczyk, M.
[J]. COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2019, 48 (06) : 1470 - 1480

← 1 2 3 4 5 →