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J. John, T. Mitchell (1977)
Optimal Incomplete Block DesignsJournal of the royal statistical society series b-methodological, 39
Nguyen Nguyen (1994)
Construction of optimal incomplete block designs by computerTechnometrics, 36
Nam-Ky Nguyen (1994)
Construction of Optimal Block Designs by ComputerTechnometrics, 36
Y. Woo, W. Krueger, Anupinder Kaur, G. Churchill (2005)
Experimental design for three-color and four-color gene expression microarraysBioinformatics, 21 Suppl 1
(1997)
Construction of optimal row–column designs by computer
Y. Yang, T. Speed (2002)
Design issues for cDNA microarray experimentsNature Reviews Genetics, 3
M. Kerr (2003)
Design considerations for efficient and effective microarray studies.Biometrics, 59 4
G. Smyth (2004)
Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray ExperimentsStatistical Applications in Genetics and Molecular Biology, 3
G. Churchill (2002)
Fundamentals of experimental design for cDNA microarraysNature Genetics, 32 Suppl 2
Nam-Ky Nguyen, E. Williams (1993)
AN ALGORITHM FOR CONSTRUCTING OPTIMAL RESOLVABLE ROW-COLUMN DESIGNSAustralian & New Zealand Journal of Statistics, 35
M. Kerr, Bar Harbor, G. Churchill (2001)
Experimental design for gene expression microarrays.Biostatistics, 2 2
(2002)
CycDesigN: A Package for the Computer Generation of Experimental Designs
Ching-Shui Cheng, Changbao Wu (1981)
Nearly balanced incomplete block designsBiometrika, 68
J. John (2001)
Updating formula in an analysis of variance modelBiometrika, 88
M. Hessner, Xujing Wang, Katie Hulse, Lisa Meyer, Yan Wu, S. Nye, Sun-Wei Guo, Soumitra Ghosh (2003)
Three color cDNA microarrays: quantitative assessment through the use of fluorescein-labeled probes.Nucleic acids research, 31 4
J. John, E. Williams (1995)
Cyclic and Computer Generated Designs
D. Nguyen, A. Arpat, Naisyin Wang, Ray Carroll (2002)
DNA Microarray Experiments: Biological and Technological AspectsBiometrics, 58
M. Hessner, Xujing Wang, Shehnaz Khan, Lisa Meyer, M. Schlicht, Jennifer Tackes, M. Datta, H. Jacob, Soumitra Ghosh (2003)
Use of a three-color cDNA microarray platform to measure and control support-bound probe for improved data quality and reproducibility.Nucleic acids research, 31 11
Kerr and Churchill (Biostatistics 2001; 2:183–201) showed how varieties (e.g. type of tissues, drug treatments, etc.) are paired onto arrays by a catalogue of A‐optimal incomplete block designs (IBDs) for 6–10 varieties (v), and number of blocks of size 2 between v and $ \left(v \atop 2 \right)$. These A‐optimal IBDs were obtained by (i) generating all non‐isomorphic connected graphs on v vertices using Brendan McKay's, MAKEG program (http://cs.anu.edu.au/people/bdm/nauty/) and (ii) comparing all designs of the same size on the basis of A‐optimality to obtain the best ones. In this paper we will give a quick overview on IBDs and describe an algorithmic approach to extend the mentioned catalogue. We aim at IBDs with up to 100 varieties with equal as well as unequal replications. A catalogue of 2007 IBDs is given. We will also extend the concept of even designs in Kerr and Churchill (Biostatistics 2001; 2:183–201) to row‐orthogonal designs. Copyright © 2006 John Wiley & Sons, Ltd.
Applied Stochastic Models in Business and Industry – Wiley
Published: Sep 1, 2006
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