Title

Universally optimal structurally balanced row-column designs with some empty nodes

Authors

Authors

N. Uddin

Comments

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Abbreviated Journal Title

J. Stat. Plan. Infer.

Keywords

balanced incomplete block design; difference sets; multistage; experiments; orthogonal main-effect plan; structural balance; structurally incomplete row-column design; universal optimality; 2-WAY ELIMINATION; CONSTRUCTION; HETEROGENEITY; Statistics & Probability

Abstract

In this paper, we present two methods of construction of a class of universally optimal b(1) x b(2) row-column designs with b(2) - k(1) > 0 empty nodes in each row and b(1) - k(2) > 0 empty nodes in each column. The number of treatments under consideration is of the form s + 1 where s is an odd prime power number. The designs constructed here are structurally balanced in the sense that every pair of columns is used in an equal number of rows. The proposed designs can also be used as universally optimal two-factor orthogonal main-effect plans arranged in incomplete blocks which are also equivalent to orthogonal pairs of balanced incomplete block designs, balanced incomplete block designs for two sets of treatments, and two stage experiments in incomplete blocks with different numbers of treatments for the two stages. (c) 2004 Elsevier B.V. All rights reserved.

Journal Title

Journal of Statistical Planning and Inference

Volume

133

Issue/Number

2

Publication Date

1-1-2005

Document Type

Article

Language

English

First Page

509

Last Page

522

WOS Identifier

WOS:000229660800018

ISSN

0378-3758

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