Experimental designs for 2‐colour cDNA microarray experiments

Nam‐Ky Nguyen and E. R. Williams

Applied Stochastic Models in Business and Industry, 2006, vol. 22, issue 5‐6, 631-638

Abstract: 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.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:wly:apsmbi:v:22:y:2006:i:5-6:p:631-638

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