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Optimality and Contrasts in Block Designs with Unequal Treatment Replication

Williams, Emlyn; Piepho, H.P.


The computer construction of optimal or near-optimal experimental designs is common in practice. Search procedures are often based on the non-zero eigenvalues of the information matrix of the design. Minimising the average of the pairwise treatment variances can also be used as a search criterion. For equal treatment replication these approaches are equivalent to maximising the harmonic mean of the design's canonical efficiency factors, but differ when treatments are unequally replicated. This...[Show more]

CollectionsANU Research Publications
Date published: 2015
Type: Journal article
Source: Australian and New Zealand Journal of Statistics
DOI: 10.1111/anzs.12116


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