The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
An improved Bonferroni procedure for multiple tests of significance
Abstract
A modification of the Bonferroni procedure for testing multiple hypotheses is presented. The method, based on the ordered p-values of the individual tests, is less conservative than the classical Bonferroni procedure but is still simple to apply. A simulation study shows that the probability of a type I error of the procedure does not exceed the nominal significance level, α, for a variety of multivariate normal and multivariate gamma test statistics. For independent tests the procedure has type I error probability equal to α. The method appears particularly advantageous over the classical Bonferroni procedure when several highly-correlated test statistics are involved.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“evidence suggesting that MBIs, compared to active controls, were more effective in enhancing state and trait attentional skills [91], executive functioning [92], and emotional clarity [93].”
Citations
Cites
A Simple Sequentially Rejective Multiple Test Procedure
(1979) · Scandinavian Journal of Statistics · doi:10.2307/4615733 · Cited by 21,526
Simultaneous Statistical Inference
Miller, R. G. (1981) · Springer series in statistics · doi:10.1007/978-1-4613-8122-8 · Cited by 5,608
An improved Bonferroni inequality and applications
Worsley, K. J. (1982) · Biometrika · doi:10.1093/biomet/69.2.297 · Cited by 218
On Multivariate Normal Probabilities of Rectangles: Their Dependence on Correlations
Šidák, Z. (1968) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177698122 · Cited by 211
Šidák, Z. (1971) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177693504 · Cited by 105
Flagged first, then by citations
Cited by
Sorted by citations
Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing
Benjamini, Y., & Hochberg, Y. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02031.x · Cited by 109,482
The control of the false discovery rate in multiple testing under dependency
Benjamini, Y., & Yekutieli, D. (2001) · The Annals of Statistics · doi:10.1214/aos/1013699998 · Cited by 10,490
A sharper Bonferroni procedure for multiple tests of significance
HOCHBERG, Y. (1988) · Biometrika · doi:10.1093/biomet/75.4.800 · Cited by 4,829
The positive false discovery rate: a Bayesian interpretation and the q-value
Storey, J. D. (2003) · The Annals of Statistics · doi:10.1214/aos/1074290335 · Cited by 2,204
… and the Cross-Section of Expected Returns
Harvey, C. R., Liu, Y., & Zhu, H. (2016) · Review of Financial Studies · doi:10.1093/rfs/hhv059 · Cited by 2,119
Metadata
- Authors
- SIMES, R. J.
- Affiliations
- The University of Sydney (AU)
- Corresponding author
- SIMES, R. J.
- ORCID
- SIMES, R. J.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1986
- Volume
- 73
- Issue
- 3
- Pages
- 751-754
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2099107563
- Cited by
- 2,396
- References
- 5
- Citations by year
- 2026: 61 · 2025: 77 · 2024: 92 · 2023: 89 · 2022: 97 · 2021: 93 · 2020: 129 · 2019: 143 · 2018: 98 · 2017: 100 · 2016: 110 · 2015: 98 · 2014: 119 · 2013: 97 · 2012: 89
- FWCI
- 10.84
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Funders
- Medical Research Council
- National Cancer Institute
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Clinical Trials
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- Bonferroni procedure, multiple comparisons, type I error probability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review