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Testing unilateral versus bilateral normal contamination

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  • Charnigo, Richard
  • Fan, Qian
  • Bittel, Douglas
  • Dai, Hongying

Abstract

This letter proposes modeling a large collection of test statistics, such as may arise in microarray data analysis, using a mixture of three normal distributions: one with mean zero, one with nonnegative mean, and one with nonpositive mean. A convenient procedure is established for testing whether this three-component mixture may be reduced to a two-component mixture with one nonzero component mean.

Suggested Citation

  • Charnigo, Richard & Fan, Qian & Bittel, Douglas & Dai, Hongying, 2013. "Testing unilateral versus bilateral normal contamination," Statistics & Probability Letters, Elsevier, vol. 83(1), pages 163-167.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:1:p:163-167
    DOI: 10.1016/j.spl.2012.09.015
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    References listed on IDEAS

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    1. Allison, David B. & Gadbury, Gary L. & Heo, Moonseong & Fernandez, Jose R. & Lee, Cheol-Koo & Prolla, Tomas A. & Weindruch, Richard, 2002. "A mixture model approach for the analysis of microarray gene expression data," Computational Statistics & Data Analysis, Elsevier, vol. 39(1), pages 1-20, March.
    2. P. Li & J. Chen & P. Marriott, 2009. "Non-finite Fisher information and homogeneity: an EM approach," Biometrika, Biometrika Trust, vol. 96(2), pages 411-426.
    3. Hanfeng Chen & Jiahua Chen & John D. Kalbfleisch, 2001. "A modified likelihood ratio test for homogeneity in finite mixture models," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 63(1), pages 19-29.
    4. Christopher Genovese & Larry Wasserman, 2002. "Operating characteristics and extensions of the false discovery rate procedure," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 499-517, August.
    5. Hongying Dai & Richard Charnigo, 2008. "Omnibus testing and gene filtration in microarray data analysis," Journal of Applied Statistics, Taylor & Francis Journals, vol. 35(1), pages 31-47.
    6. Li, Pengfei & Chen, Jiahua, 2010. "Testing the Order of a Finite Mixture," Journal of the American Statistical Association, American Statistical Association, vol. 105(491), pages 1084-1092.
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