Optimal designs for a mixed interference model

被引：18

作者：

Filipiak, K. ^{[1
]}

Markiewicz, A. ^{[1
]}

机构：

[1] Acad Agr Poznan, Dept Math & Stat Methods, PL-60637 Poznan, Poland

来源：

METRIKA | 2007年 / 65卷 / 03期

关键词：

interference model; mixed model; neighbor effects; circular design; optimal design; universal optimality;

D O I：

10.1007/s00184-006-0082-7

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：

This paper generalizes Kunert and Martin's (Ann Stat 28:1728-1742, 2000) method for finding optimal designs under a fixed interference model, to find optimal designs under a mixed interference model. The results are based on the properties of information matrices in fixed and mixed models given in Markiewicz (J Stat Plan Inference 59:127-137, 1997). The method is applied to find a design which is optimal for any given variances of random neighbor effects.

引用

页码：369 / 386

页数：18

共 15 条

[1] CRITERIA FOR COPOSITIVE MATRICES USING SIMPLICES AND BARYCENTRIC COORDINATES [J].

ANDERSSON, LE ;

CHANG, GZ ;

ELFVING, T .

LINEAR ALGEBRA AND ITS APPLICATIONS, 1995, 220 :9-30

[2] Partial traces and entropy inequalities [J].

Bhatia, R .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 370 :125-132

[3] 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

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

Druilhet, P .

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

[5] Optimality and efficiency of circular neighbor balanced designs for correlated observations [J].

Filipiak, K ;

Markiewicz, A .

METRIKA, 2005, 61 (01) :17-27

[6] Optimality of type I orthogonal arrays for general interference model with correlated observations [J].

Filipiak, K ;

Markiewicz, A .

STATISTICS & PROBABILITY LETTERS, 2004, 68 (03) :259-265

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

Filipiak, K ;

Markiewicz, A .

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

[8] DESIGN AND ANALYSIS OF FIELD EXPERIMENTS INCORPORATING LOCAL AND REMOTE EFFECTS OF TREATMENTS [J].

GILL, PS .

BIOMETRICAL JOURNAL, 1993, 35 (03) :343-354

[9] INFORMATION MATRICES FOR MIXED EFFECTS MODELS WITH APPLICATIONS TO THE OPTIMALITY OF REPEATED MEASUREMENTS DESIGNS [J].

JONES, B ;

KUNERT, J ;

WYNN, HP .

JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1992, 33 (02) :261-274

[10]

Kiefer J., 1975, SURVEY STAT DESIGN L, P333

← 1 2 →