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Optimal factorial designs for CDNA microarray experiments. (English) Zbl 1137.62074

Summary: 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 \(2\times 2\) 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.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62K05 Optimal statistical designs
62K15 Factorial statistical designs
92C40 Biochemistry, molecular biology

Software:

daMA

References:

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