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March 2008 Optimal factorial designs for cDNA microarray experiments
Tathagata Banerjee, Rahul Mukerjee
Ann. Appl. Stat. 2(1): 366-385 (March 2008). DOI: 10.1214/07-AOAS144

Abstract

We consider cDNA microarray experiments when the cell populations have a factorial structure, and investigate the problem of their optimal designing under a baseline parametrization where the objects of interest differ from those under the more common orthogonal parametrization. First, analytical results are given for the 2×2 factorial. Since practical applications often involve a more complex factorial structure, we next explore general factorials and obtain a collection of optimal designs in the saturated, that is, most economic, case. This, in turn, is seen to yield an approach for finding optimal or efficient designs in the practically more important nearly saturated cases. Thereafter, the findings are extended to the more intricate situation where the underlying model incorporates dye-coloring effects, and the role of dye-swapping is critically examined.

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Tathagata Banerjee. Rahul Mukerjee. "Optimal factorial designs for cDNA microarray experiments." Ann. Appl. Stat. 2 (1) 366 - 385, March 2008. https://doi.org/10.1214/07-AOAS144

Information

Published: March 2008
First available in Project Euclid: 24 March 2008

zbMATH: 1137.62074
MathSciNet: MR2415607
Digital Object Identifier: 10.1214/07-AOAS144

Keywords: Admissibility , augmented design , baseline parametrization , dye-swapping , interaction , main effect , orthogonal parametrization , saturated design , weighted optimality

Rights: Copyright © 2008 Institute of Mathematical Statistics

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Vol.2 • No. 1 • March 2008
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