Construction of resolvable designs with nested treatment structure

E. R. Williams; J. A. John

doi:10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y

Construction of resolvable designs with nested treatment structure

E. R. Williams^*, J. A. John

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

The construction of resolvable incomplete block and row-column designs is investigated when the treatments have a nested structure. Some theoretical results are derived for lattice designs. Efficient designs for unequal-sized treatment groups are obtained by defining a multiple objective function and carrying out a computer search using an interchange algorithm.

Original language	English
Pages (from-to)	341-349
Number of pages	9
Journal	Biometrical Journal
Volume	41
Issue number	3
DOIs	https://doi.org/10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y
Publication status	Published - 1999
Externally published	Yes

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10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y

Cite this

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title = "Construction of resolvable designs with nested treatment structure",

abstract = "The construction of resolvable incomplete block and row-column designs is investigated when the treatments have a nested structure. Some theoretical results are derived for lattice designs. Efficient designs for unequal-sized treatment groups are obtained by defining a multiple objective function and carrying out a computer search using an interchange algorithm.",

keywords = "A-optimality, Alpha designs, Average efficiency factor, Interchange algorithm, Lattice square designs, Multiple objective function, Nested treatment structure, Resolvable designs, Square lattice designs",

author = "Williams, {E. R.} and John, {J. A.}",

year = "1999",

doi = "10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y",

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AU - Williams, E. R.

AU - John, J. A.

PY - 1999

Y1 - 1999

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AB - The construction of resolvable incomplete block and row-column designs is investigated when the treatments have a nested structure. Some theoretical results are derived for lattice designs. Efficient designs for unequal-sized treatment groups are obtained by defining a multiple objective function and carrying out a computer search using an interchange algorithm.

KW - A-optimality

KW - Alpha designs

KW - Average efficiency factor

KW - Interchange algorithm

KW - Lattice square designs

KW - Multiple objective function

KW - Nested treatment structure

KW - Resolvable designs

KW - Square lattice designs

UR - http://www.scopus.com/inward/record.url?scp=0040318511&partnerID=8YFLogxK

U2 - 10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y

DO - 10.1002/(SICI)1521-4036(199906)41:3<341::AID-BIMJ341>3.0.CO;2-Y

M3 - Article

SN - 0323-3847

VL - 41

SP - 341

EP - 349

JO - Biometrical Journal

JF - Biometrical Journal

IS - 3

ER -

Construction of resolvable designs with nested treatment structure

Abstract

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