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Efficient computation of adjusted p-values for resampling-based stepdown multiple testing

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  • Romano, Joseph P.
  • Wolf, Michael

Abstract

There has been a recent interest in reporting p-values adjusted for the resampling-based stepdown multiple testing procedures proposed in Romano and Wolf (2005a,b). The original papers only describe how to carry out multiple testing at a fixed significance level. Computing adjusted p-values instead in an efficient manner is not entirely trivial. Therefore, this paper fills an apparent gap by detailing such an algorithm.

Suggested Citation

  • Romano, Joseph P. & Wolf, Michael, 2016. "Efficient computation of adjusted p-values for resampling-based stepdown multiple testing," Statistics & Probability Letters, Elsevier, vol. 113(C), pages 38-40.
    • Handle: RePEc:eee:stapro:v:113:y:2016:i:c:p:38-40
    DOI: 10.1016/j.spl.2016.02.012
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    References listed on IDEAS

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    1. Joseph P. Romano & Michael Wolf, 2005. "Stepwise Multiple Testing as Formalized Data Snooping," Econometrica, Econometric Society, vol. 73(4), pages 1237-1282, July.
    2. James Heckman & Seong Hyeok Moon & Rodrigo Pinto & Peter Savelyev & Adam Yavitz, 2010. "Analyzing social experiments as implemented: A reexamination of the evidence from the HighScope Perry Preschool Program," Quantitative Economics, Econometric Society, vol. 1(1), pages 1-46, July.
    3. Romano, Joseph P. & Shaikh, Azeem M. & Wolf, Michael, 2008. "Formalized Data Snooping Based On Generalized Error Rates," Econometric Theory, Cambridge University Press, vol. 24(2), pages 404-447, April.
    4. Joseph P. Romano & Michael Wolf, 2005. "Exact and Approximate Stepdown Methods for Multiple Hypothesis Testing," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 94-108, March.
    5. James Heckman & Seong Hyeok Moon & Rodrigo Pinto & Peter Savelyev & Adam Yavitz, 2010. "Analyzing social experiments as implemented: evidence from the HighScope Perry Preschool Program," CeMMAP working papers CWP22/10, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    6. Will Dobbie & Roland G. Fryer Jr., 2015. "The Medium-Term Impacts of High-Achieving Charter Schools," Journal of Political Economy, University of Chicago Press, vol. 123(5), pages 985-1037.
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    More about this item

    Keywords

    Adjusted p-values; Multiple testing; Resampling; Stepdown procedure;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

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