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Behaviour of FWER in Normal Distributions

Statistics Theory 2022-01-27 v2 Probability Statistics Theory

Abstract

Familywise error rate (FWER) has been a cornerstone in simultaneous inference for decades, and the classical Bonferroni method has been one of the most prominent frequentist approaches for controlling FWER. The present article studies the behavior of the FWER for Bonferroni procedure in a multiple testing problem. We establish upper bounds on FWER for Bonferroni method under the equicorrelated and general normal setups in nonasymptotic case.

Keywords

Cite

@article{arxiv.2107.00146,
  title  = {Behaviour of FWER in Normal Distributions},
  author = {Monitirtha Dey},
  journal= {arXiv preprint arXiv:2107.00146},
  year   = {2022}
}

Comments

12 pages, 2 figures