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Related Experiment Videos

Extending the p-plot: heuristics for multiple testing. HNRC group.

I Abramson1, T Wolfson, T D Marcotte

  • 1Department of Mathematics, University of California at San Diego, USA.

Journal of the International Neuropsychological Society : JINS
|November 24, 1999
PubMed
Summary
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The p-plot method offers a more revealing alternative to the Bonferroni correction for large-scale multiple testing, effectively estimating false hypotheses. This study enhances the p-plot with bootstrap methods for greater accuracy and provides practical guidelines for its application.

Area of Science:

  • Statistics
  • Biostatistics
  • Neuroscience

Background:

  • Large-scale multiple testing presents challenges, with the Bonferroni method often being too stringent.
  • Graphical methods like the p-plot offer a more revealing approach to assess multiple hypotheses.
  • Existing methods lack robust estimation of uncertainty in identifying false hypotheses.

Purpose of the Study:

  • To elucidate and extend the p-plot method for large-scale multiple testing.
  • To introduce bootstrap techniques for bias and error assessment in p-plot estimates.
  • To provide a confidence interval for the false hypothesis gauge and develop new significance tests.

Main Methods:

  • Application of the p-plot graphical method for multiple hypothesis testing.
  • Utilizing bootstrap resampling to reveal bias and sampling error in point estimates.

Related Experiment Videos

  • Developing and applying bootstrap-based confidence intervals for the false hypothesis gauge.
  • Introducing two new blanket significance tests for hypothesis evaluation.
  • Main Results:

    • The p-plot provides a gauge of decidedly false hypotheses, outperforming the Bonferroni method in stringency and revelation.
    • Bootstrap methods successfully identified bias and sampling error in standard p-plot estimates.
    • A bootstrap-based confidence interval for the false hypothesis gauge was successfully derived.
    • Two novel, acceptably powerful blanket tests of significance were developed and validated.

    Conclusions:

    • The enhanced p-plot method, incorporating bootstrap techniques, offers a more robust and informative approach to large-scale multiple testing.
    • The developed confidence intervals and significance tests provide valuable tools for hypothesis assessment in complex datasets.
    • The study provides practical guidelines and addresses potential pitfalls for the application of the p-plot in real-world research, as demonstrated in an HIV cohort study.