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Statistical properties of gene–gene correlations in omics experiments

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  • Qin, Huaizhen
  • Ouyang, Weiwei

Abstract

In this article, we obtain generic stochastic representations and asymptotic distributions of gene–gene correlations with respect to differential magnitudes, residual correlations, and sample size of experiment. Our results establish theoretical foundation for tight clustering of co-expressed genes.

Suggested Citation

  • Qin, Huaizhen & Ouyang, Weiwei, 2015. "Statistical properties of gene–gene correlations in omics experiments," Statistics & Probability Letters, Elsevier, vol. 97(C), pages 206-211.
    • Handle: RePEc:eee:stapro:v:97:y:2015:i:c:p:206-211
    DOI: 10.1016/j.spl.2014.11.026
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    References listed on IDEAS

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    1. Smyth Gordon K, 2004. "Linear Models and Empirical Bayes Methods for Assessing Differential Expression in Microarray Experiments," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 3(1), pages 1-28, February.
    2. Jianhua Hu & Fred A. Wright, 2007. "Assessing Differential Gene Expression with Small Sample Sizes in Oligonucleotide Arrays Using a Mean-Variance Model," Biometrics, The International Biometric Society, vol. 63(1), pages 41-49, March.
    3. Efron, Bradley, 2007. "Correlation and Large-Scale Simultaneous Significance Testing," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 93-103, March.
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