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Optimal screening and discovery of sparse signals with applications to multistage high throughput studies

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  • T. Tony Cai
  • Wenguang Sun

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  • T. Tony Cai & Wenguang Sun, 2017. "Optimal screening and discovery of sparse signals with applications to multistage high throughput studies," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 79(1), pages 197-223, January.
    • Handle: RePEc:bla:jorssb:v:79:y:2017:i:1:p:197-223
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    References listed on IDEAS

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    1. Jaya M. Satagopan & E. S. Venkatraman & Colin B. Begg, 2004. "Two-Stage Designs for Gene–Disease Association Studies with Sample Size Constraints," Biometrics, The International Biometric Society, vol. 60(3), pages 589-597, September.
    2. Sun, Wenguang & Cai, T. Tony, 2007. "Oracle and Adaptive Compound Decision Rules for False Discovery Rate Control," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 901-912, September.
    3. Benjamini, Yoav & Heller, Ruth, 2007. "False Discovery Rates for Spatial Signals," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 1272-1281, December.
    4. John D. Storey & Jonathan E. Taylor & David Siegmund, 2004. "Strong control, conservative point estimation and simultaneous conservative consistency of false discovery rates: a unified approach," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 66(1), pages 187-205, February.
    5. Posch, Martin & Zehetmayer, Sonja & Bauer, Peter, 2009. "Hunting for Significance With the False Discovery Rate," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 832-840.
    6. Jiashun Jin, 2008. "Proportion of non‐zero normal means: universal oracle equivalences and uniformly consistent estimators," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(3), pages 461-493, July.
    7. Durrieu, Gilles & Briollais, Laurent, 2009. "Sequential Design for Microarray Experiments," Journal of the American Statistical Association, American Statistical Association, vol. 104(486), pages 650-660.
    8. Efron, Bradley, 2004. "Large-Scale Simultaneous Hypothesis Testing: The Choice of a Null Hypothesis," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 96-104, January.
    9. Jianqing Fan & Jinchi Lv, 2008. "Sure independence screening for ultrahigh dimensional feature space," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 70(5), pages 849-911, November.
    10. Nicolai Meinshausen, 2008. "Hierarchical testing of variable importance," Biometrika, Biometrika Trust, vol. 95(2), pages 265-278.
    11. 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.
    12. John D. Storey, 2002. "A direct approach to false discovery rates," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 64(3), pages 479-498, August.
    13. Yekutieli, Daniel, 2008. "Hierarchical False Discovery RateControlling Methodology," Journal of the American Statistical Association, American Statistical Association, vol. 103, pages 309-316, March.
    14. Jin, Jiashun & Cai, T. Tony, 2007. "Estimating the Null and the Proportion of Nonnull Effects in Large-Scale Multiple Comparisons," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 495-506, June.
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    Cited by:

    1. Banerjee, Trambak & Mukherjee, Gourab & Radchenko, Peter, 2017. "Feature screening in large scale cluster analysis," Journal of Multivariate Analysis, Elsevier, vol. 161(C), pages 191-212.
    2. Ruth Heller & Saharon Rosset, 2021. "Optimal control of false discovery criteria in the two‐group model," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 83(1), pages 133-155, February.

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