Robustness of a class of variance balanced designs against the loss of one or two blocks

被引：0

作者：

Mandal, S. ^{[1
]}

Ghosh, D. K. ^{[2
]}

Bagui, S. C. ^{[3
]}

机构：

[1] Univ Manitoba, Dept Stat, Winnipeg, MB R3T 2N2, Canada

[2] Saurashtra Univ, Dept Stat, Rajkot 360005, Gujarat, India

[3] Univ W Florida, Dept Math & Stat, Pensacola, FL 32514 USA

来源：

UTILITAS MATHEMATICA | 2013年 / 92卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Balanced incomplete block design; Efficiency of design; Robustness of design; Variance balanced design; GROUP DIVISIBLE DESIGNS; EFFICIENCY; CONSTRUCTION; PATTERNS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of variance balanced designs is obtained with (v - 1) treatments starting from a balanced incomplete block design with v treatments. The robust criteria of this class of variance balanced designs are obtained against the loss of any one or two blocks. Robust variance balanced designs are also obtained for another class of variance balanced designs. This article shows that the covered designs are fairly robust against the loss of one or two blocks.

引用

页码：221 / 234

页数：14

共 4 条

[1] The Use of Treatment Concurrences to Assess Robustness of Binary Block Designs Against the Loss of Whole Blocks
Godolphin, J. D.
Godolphin, E. J.
AUSTRALIAN & NEW ZEALAND JOURNAL OF STATISTICS, 2015, 57 (02) : 225 - 239
[2] Robustness of diallel cross designs to the loss of one or more observations
Prescott, P
Mansson, R
COMPUTATIONAL STATISTICS & DATA ANALYSIS, 2004, 47 (01) : 91 - 109
[3] Some useful classes of minimal weakly balanced neighbor designs in circular blocks of two different sizes
Rasheed, Muhammad
Noreen, Khadija
Ahmed, Rashid
Tahir, M. H.
Jamal, Farrukh
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2022, 51 (24) : 8822 - 8839
[4] Nonexistence of robust designs against presence of more than one outlier in a restricted class
Dutta, Ganesh
Mandal, Nripes Kumar
Das, Premadhis
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (06) : 1668 - 1675

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