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Construction of resolvable row-column designs based on contractions

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Authors

Wright, C. L.
John, J. A.
Whitaker, D.
Williams, Emlyn

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Publisher

Blackwell Publishing Ltd

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.

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Australian and New Zealand Journal of Statistics

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2037-12-31