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Thresholding rules for recovering a sparse signal from microarray experiments
Chiara Sabatti, Department of Statistics, UCLA
Stanislav L. Karsten, UCLA Department of Neurology
Daniel Geschwind, UCLA Department of Neurology
ABSTRACT: We consider array experiments that compare expression levels of a high number of genes in two cell lines with few repetitions and with no subject effect. We develop a statistical model that illustrates under which assumptions thresholding is optimal in the analysis of such microarray data. The results of our model explain the success of the empirical rule of 2-fold change. We illustrate a thresholding procedure that is adaptive to the noise level of the experiment, the amount of genes analyzed, and the amount of genes that truly change expression level. This procedure, in a world of perfect knowledge on noise distribution, would allow reconstruction of a sparse signal, minimizing the false discovery rate. Given the amount of information actually available, the thresholding rule described provides a reasonable estimator for the change in expression of any gene in two compared cell-lines.
SUGGESTED CITATION: Chiara Sabatti, Stanislav L. Karsten, and Daniel Geschwind,
"Thresholding rules for recovering a sparse signal from microarray experiments"
(January 1, 2001).
Department of Statistics, UCLA.
Department of Statistics Papers.
Paper 2001010103.
http://repositories.cdlib.org/uclastat/papers/2001010103
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