Construction of resolvable row-column designs based on contractions

C. L. Wright; J. A. John; D. Whitaker; E. R. Williams

doi:10.1111/j.1467-842X.2005.00376.x

Construction of resolvable row-column designs based on contractions

C. L. Wright^*
, J. A. John
, D. Whitaker
, E. R. Williams

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This paper defines the contraction of a resolvable row-column design for more than two replicates. It shows that the (M,S)-optimality criterion for the row-column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near-optimal resolvable row-column designs. The performance of such an algorithm is compared with an existing algorithm.

Original language	English
Pages (from-to)	119-124
Number of pages	6
Journal	Australian and New Zealand Journal of Statistics
Volume	47
Issue number	1
DOIs	https://doi.org/10.1111/j.1467-842X.2005.00376.x
Publication status	Published - Mar 2005
Externally published	Yes

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10.1111/j.1467-842X.2005.00376.x

Cite this

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abstract = "This paper defines the contraction of a resolvable row-column design for more than two replicates. It shows that the (M,S)-optimality criterion for the row-column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near-optimal resolvable row-column designs. The performance of such an algorithm is compared with an existing algorithm.",

keywords = "(M, S)-optimality, Average efficiency factors, Canonical efficiency factors, Contractions, Interchange algorithms",

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AU - Whitaker, D.

AU - Williams, E. R.

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AB - This paper defines the contraction of a resolvable row-column design for more than two replicates. It shows that the (M,S)-optimality criterion for the row-column designs can be expressed simply in terms of the elements of the row and column incidence matrices of the contraction. This allows the development of a very fast algorithm to construct optimal or near-optimal resolvable row-column designs. The performance of such an algorithm is compared with an existing algorithm.

KW - (M, S)-optimality

KW - Average efficiency factors

KW - Canonical efficiency factors

KW - Contractions

KW - Interchange algorithms

UR - https://www.scopus.com/pages/publications/16244422964

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DO - 10.1111/j.1467-842X.2005.00376.x

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VL - 47

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EP - 124

JO - Australian and New Zealand Journal of Statistics

JF - Australian and New Zealand Journal of Statistics

IS - 1

ER -

Construction of resolvable row-column designs based on contractions

Abstract

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