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Optimal rejection curves for exact false discovery rate control

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  • Habiger, Joshua D.
  • Adekpedjou, Akim

Abstract

Finner et al. (2012) provided multiple hypothesis testing procedures based on a nonlinear rejection curve for exact false discovery rate control. This paper constructs classes of such procedures and compares the most powerful procedure in each class to competing procedures.

Suggested Citation

  • Habiger, Joshua D. & Adekpedjou, Akim, 2014. "Optimal rejection curves for exact false discovery rate control," Statistics & Probability Letters, Elsevier, vol. 94(C), pages 21-28.
    • Handle: RePEc:eee:stapro:v:94:y:2014:i:c:p:21-28
    DOI: 10.1016/j.spl.2014.07.010
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    References listed on IDEAS

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    1. Yoav Benjamini & Abba M. Krieger & Daniel Yekutieli, 2006. "Adaptive linear step-up procedures that control the false discovery rate," Biometrika, Biometrika Trust, vol. 93(3), pages 491-507, September.
    2. Mette Langaas & Bo Henry Lindqvist & Egil Ferkingstad, 2005. "Estimating the proportion of true null hypotheses, with application to DNA microarray data," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(4), pages 555-572, September.
    3. 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.
    4. Helmut Finner & Veronika Gontscharuk & Thorsten Dickhaus, 2012. "False Discovery Rate Control of Step-Up-Down Tests with Special Emphasis on the Asymptotically Optimal Rejection Curve," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 39(2), pages 382-397, June.
    5. Kun Liang & Dan Nettleton, 2012. "Adaptive and dynamic adaptive procedures for false discovery rate control and estimation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 74(1), pages 163-182, January.
    6. 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.
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    Cited by:

    1. Friederike Preusse & Anna Vesely & Thorsten Dickhaus, 2025. "Confidence bounds for the true discovery proportion based on the exact distribution of the number of rejections," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 77(2), pages 191-216, April.

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