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The Annals of Applied Statistics

Optimal factorial designs for cDNA microarray experiments

Tathagata Banerjee and Rahul Mukerjee

Source: Ann. Appl. Stat. Volume 2, Number 1 (2008), 366-385.

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.

Related Works:

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

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aoas/1206367825
Digital Object Identifier: doi:10.1214/07-AOAS144
Zentralblatt MATH identifier: 1137.62074
Mathematical Reviews number (MathSciNet): MR2415607

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