OPTIMAL CROSSOVER DESIGNS FOR THE PROPORTIONAL MODEL

被引：9

作者：

Zheng, Wei ^{[1
]}

机构：

[1] Indiana Univ Purdue Univ, Dept Math Sci, Indianapolis, IN 46202 USA

来源：

ANNALS OF STATISTICS | 2013年 / 41卷 / 04期

关键词：

Crossover designs; A-optimality; D-optimality; E-optimality; equivalence theorem; proportional model; pseudo symmetric designs; UNIVERSAL OPTIMALITY;

D O I：

10.1214/13-AOS1148

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 crossover design experiments, the proportional model, where the carryover effects are proportional to their direct treatment effects, has draw attentions in recent years. We discover that the universally optimal design under the traditional model is E-optimal design under the proportional model. Moreover, we establish equivalence theorems of Kiefer-Wolfowitz's type for four popular optimality criteria, namely A, D, E and T (trace).

引用

页码：2218 / 2235

页数：18

共 20 条

[1] On optimal crossover designs when carryover effects are proportional to direct effects
Bailey, R. A.
Kunert, J.
[J]. BIOMETRIKA, 2006, 93 (03) : 613 - 625
[2] Optimal crossover designs when carryover effects are proportional to direct effects
Bose, Mausumi
Stufken, John
[J]. JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2007, 137 (11) : 3291 - 3302
[3] BALANCED REPEATED MEASUREMENTS DESIGNS
CHENG, CS
WU, CF
[J]. ANNALS OF STATISTICS, 1980, 8 (06) : 1272 - 1283
[4] Fedorov V. V., 1997, LECT NOTES STAT, V125
[5] REPEATED MEASUREMENTS DESIGNS .2.
HEDAYAT, A
AFSARINEJAD, K
[J]. ANNALS OF STATISTICS, 1978, 6 (03) : 619 - 628
[6] Hedayat A., 1975, SURVEY STAT DESIGN L, VI, P229
[7] Optimal and Efficient Crossover Designs for Test-Control Study When Subject Effects Are Random
Hedayat, A. S.
Zheng, Wei
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2010, 105 (492) : 1581 - 1592
[8] Universal optimality for selected crossover designs
Hedayat, AS
Yang, M
[J]. JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2004, 99 (466) : 461 - 466
[9] Hedayat AS, 2003, ANN STAT, V31, P978
[10] Optimal change-over designs when carry-over effects are proportional to direct effects of treatments
Kempton, RA
Ferris, SJ
David, O
[J]. BIOMETRIKA, 2001, 88 (02) : 391 - 399

← 1 2 →