On the Optimality of Circular Block Designs Under a Mixed Interference Model

被引：5

作者：

Filipiak, Katarzyna ^{[1
]}

Markiewicz, Augustyn ^{[1
]}

机构：

[1] Poznan Univ Life Sci, Dept Math & Stat Methods, PL-60637 Poznan, Poland

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2014年 / 43卷 / 21期

关键词：

Left-neighboring matrix; Interference model; Information matrix; Universal optimality; D-optimality; Circular weakly neighbor balanced designs; NEIGHBOR BALANCED DESIGNS; INFORMATION MATRICES; UNIVERSAL OPTIMALITY;

D O I：

10.1080/03610926.2012.709907

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：

Filipiak and Markiewicz (2012) proved the universal optimality of circular weakly neighbor balanced designs (CWNBDs) under the interference model with fixed neighbor effects among the class of complete block designs. In two special cases where a CWNBD cannot exist, Filipiak et al. (2012) characterized D-optimal designs. The aim of this paper is to show the universal optimality of CWNBDs and to characterize D-optimal designs under the interference model with random neighbor effects.

引用

页码：4534 / 4545

页数：12

共 17 条

[1] A CATALOG OF EFFICIENT NEIGHBOR-DESIGNS WITH BORDER PLOTS [J].

AZAIS, JM ;

BAILEY, RA ;

MONOD, H .

BIOMETRICS, 1993, 49 (04) :1252-1261

[2] Control of interplot interference in grain maize: A multi-site comparison [J].

David, O ;

Monod, H ;

Lorgeou, J ;

Philippeau, G .

CROP SCIENCE, 2001, 41 (02) :406-414

[3] Optimality of neighbour balanced designs [J].

Druilhet, P .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1999, 81 (01) :141-152

[4] Optimal designs for a mixed interference model [J].

Filipiak, K. ;

Markiewicz, A. .

METRIKA, 2007, 65 (03) :369-386

[5] Maximal determinant over a certain class of matrices and its application to D-optimality of designs [J].

Filipiak, K. ;

Markiewicz, A. ;

Rozanski, R. .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 436 (04) :874-887

[6] Optimality of neighbor balanced designs under mixed effects model [J].

Filipiak, K ;

Markiewicz, A .

STATISTICS & PROBABILITY LETTERS, 2003, 61 (03) :225-234

[7] On the E-optimality of complete designs under an interference model [J].

Filipiak, Katarzyna ;

Rozanski, Rafal ;

Sawikowska, Aneta ;

Wojtera-Tyrakowska, Dominika .

STATISTICS & PROBABILITY LETTERS, 2008, 78 (15) :2470-2477

[8] On the E-optimality of complete block designs under a mixed interference model [J].

Filipiak, Katarzyna ;

Rozanski, Rafal .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2013, 143 (03) :583-592

[9] On Universal Optimality of Circular Weakly Neighbor Balanced Designs Under an Interference Model [J].

Filipiak, Katarzyna ;

Markiewicz, Augustyn .

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2012, 41 (13-14) :2356-2366

[10] CONSTRUCTIONS FOR SOME CLASSES OF NEIGHBOR DESIGNS [J].

HWANG, FK .

ANNALS OF STATISTICS, 1973, 1 (04) :786-790

← 1 2 →