Biology – Quantitative Biology – Quantitative Methods
Scientific paper
2004-03-26
Journal of Computational Biology, 11(2-3):215-226 (2004)
Biology
Quantitative Biology
Quantitative Methods
to be published in Journal of Computational Biology (2004)
Scientific paper
10.1089/1066527041410445
One important issue commonly encountered in the analysis of microarray data is to decide which and how many genes should be selected for further studies. For discriminant microarray data analyses based on statistical models, such as the logistic regression models, gene selection can be accomplished by a comparison of the maximum likelihood of the model given the real data, $\hat{L}(D|M)$, and the expected maximum likelihood of the model given an ensemble of surrogate data with randomly permuted label, $\hat{L}(D_0|M)$. Typically, the computational burden for obtaining $\hat{L}(D_0|M)$ is immense, often exceeding the limits of computing available resources by orders of magnitude. Here, we propose an approach that circumvents such heavy computations by mapping the simulation problem to an extreme-value problem. We present the derivation of an asymptotic distribution of the extreme-value as well as its mean, median, and variance. Using this distribution, we propose two gene selection criteria, and we apply them to two microarray datasets and three classification tasks for illustration.
Grosse Ivo
Li Wentian
Sun Fengzhu
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