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

    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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