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A sequentially rejective test procedure based on a modified Bonferroni inequality
Abstract
A sharper Bonferroni procedure for multiple tests of significance is derived. This procedure is an improvement of Hochberg's (1988) procedure which contrasts the individual P-values with corresponding critical points. It is shown that Hochberg's original procedure is conservative, and can be made more powerful by enlarging the rejection region so that the type-one error is exactly at the nominal level. It is also shown that the modified procedure retains all the desired properties of the original procedure.
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Citations
Cites
An improved Bonferroni procedure for multiple tests of significance
SIMES, R. J. (1986) · Biometrika · doi:10.1093/biomet/73.3.751 · Cited by 2,396
Cited by
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
Adjusted P-Values for Simultaneous Inference
Wright, S. P. (1992) · Biometrics · doi:10.2307/2532694 · Cited by 1,026
Anisimova, M., & Yang, Z. (2007) · Molecular Biology and Evolution · doi:10.1093/molbev/msm042 · Cited by 213
Comparisons of methods for multiple hypothesis testing in neuropsychological research
Blakesley, R. E., Mazumdar, S., Dew, M. A., Houck, P. R., Tang, G., Reynolds, C. F., & Butters, M. A. (2009) · Neuropsychology · doi:10.1037/a0012850 · Cited by 206
Making the ineffable explicit: estimating the information employed for face classifications
Mangini, M. C., & Biederman, I. (2004) · Cognitive Science · doi:10.1207/s15516709cog2802_4 · Cited by 208
Metadata
- Authors
- ROM, D. M.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1990
- Volume
- 77
- Issue
- 3
- Pages
- 663-665
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2054264388
- Cited by
- 421
- References
- 1
- FWCI
- 3.83
- Type
- journal article
- Language
- en
- Open access
- closed
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