Bioinformatics Advance Access published online on February 15, 2005
Bioinformatics, doi:10.1093/bioinformatics/bti318
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1 Department of Biostatistics, The University of Texas M.D. Anderson Cancer Center, Houston TX 77030, USA
* To whom correspondence should be addressed.
We propose a beta-mixture model approach to solve a variety of problems related to correlations of gene expression levels. For example, in meta-analyses of microarray gene expression data sets, a threshold value of correlation coefficients for gene expression levels is used to decide whether gene expression levels are strongly correlated across studies. Ad hoc threshold values such as 0.5 are often used. In this paper, the proposed beta-mixture model approach provides an objective solution for this problem. It divides the correlation coefficients into several populations based on a mixture model, with which the gene population of large correlation coefficients can be identified. Another important application of the proposed method is in finding co-expressed genes. We illustrate the use of the proposed method for both applications with real examples. Through our analysis, we also discover that the popular model selection criteria BIC and AIC are not suitable for the beta-mixture model. To determine the number of components in the mixture model, we suggest using an alternative criterion, ICL-BIC, which is shown to perform better in selecting the correct mixture model.
Received January 5, 2005
Revised January 27, 2005
Accepted February 8, 2005
Applications note
Applications of beta-mixture models in bioinformatics
Yuan Ji, E-mail: yuanji{at}mdanderson.org
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