On an approximate optimality criterion for the design of field experiments under spatial dependence

Butler, David G., Eccleston, John A. and Cullis, Brian R. (2008) On an approximate optimality criterion for the design of field experiments under spatial dependence. Australian & New Zealand Journal of Statistics, 50 4: 295-307. doi:10.1111/j.1467-842X.2008.00518.x


Author Butler, David G.
Eccleston, John A.
Cullis, Brian R.
Title On an approximate optimality criterion for the design of field experiments under spatial dependence
Journal name Australian & New Zealand Journal of Statistics   Check publisher's open access policy
ISSN 1369-1473
Publication date 2008-12-01
Sub-type Article (original research)
DOI 10.1111/j.1467-842X.2008.00518.x
Open Access Status
Volume 50
Issue 4
Start page 295
End page 307
Total pages 13
Editor K. Mengersen
Place of publication Melbourne, Australia
Publisher Blackwell Publishing Asia
Language eng
Subject C1
970101 Expanding Knowledge in the Mathematical Sciences
010405 Statistical Theory
Abstract The design of large-scale field trials where the residuals are correlated has been of recent interest, in large part because of advances in statistical and computational methods of analysis. The construction of designs for correlated data has typically used A-optimality and is computationally intensive. This involves calculating the inverse of the information matrix for treatments under the supervision of an optimization strategy that explores the design space. We propose an approximation to A-optimality, using nearest-neighbour balance, that is less computationally demanding and can achieve at least 95% efficiency relative to A-optimality in many practical situations.
Keyword A-optimality
autoregressive process
field experiment
nearest-neighbour methods
spatial correlation
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
School of Physical Sciences Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 7 times in Thomson Reuters Web of Science Article | Citations
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Created: Tue, 24 Mar 2009, 22:28:41 EST by Marie Grove on behalf of School of Mathematics & Physics