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Adaptive linear step-up multiple testing procedure with the bias-reduced estimator

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  • Kim, Donggyu
  • Zhang, Chunming

Abstract

This paper suggests two novel adaptive linear step-up procedures to reduce the bias of the estimator of π0, the proportion of true null hypotheses. Estimators of π0 are based on the number of p-values less than a threshold which converges to one.

Suggested Citation

  • Kim, Donggyu & Zhang, Chunming, 2014. "Adaptive linear step-up multiple testing procedure with the bias-reduced estimator," Statistics & Probability Letters, Elsevier, vol. 87(C), pages 31-39.
    • Handle: RePEc:eee:stapro:v:87:y:2014:i:c:p:31-39
    DOI: 10.1016/j.spl.2014.01.001
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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. Efron B. & Tibshirani R. & Storey J.D. & Tusher V., 2001. "Empirical Bayes Analysis of a Microarray Experiment," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1151-1160, December.
    3. 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.
    4. 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.
    5. 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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