The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Multiple Hypotheses Testing with Weights
Abstract
In this paper we offer a multiplicity of approaches and procedures for multiple testing problems with weights. Some rationale for incorporating weights in multiple hypotheses testing are discussed. Various type‐I error‐rates and different possible formulations are considered, for both the intersection hypothesis testing and the multiple hypotheses testing problems. An optimal per family weighted error‐rate controlling procedure a la Spjotvoll (1972) is obtained. This model serves as a vehicle for demonstrating the different implications of the approaches to weighting. Alternative approach es to that of Holm (1979) for family‐wise error‐rate control with weights are discussed, one involving an alternative procedure for family‐wise error‐rate control, and the other involving the control of a weighted family‐wise error‐rate. Extensions and modifications of the procedures based on Simes (1986) are given. These include a test of the overall intersec tion hypothesis with general weights, and weighted sequentially rejective procedures for testing the individual hypotheses. The false discovery rate controlling approach and procedure of Benjamini & Hochberg (1995) are extended to allow for different weights.
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Cites
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
Self-citationA Simple Sequentially Rejective Multiple Test Procedure
(1979) · Scandinavian Journal of Statistics · doi:10.2307/4615733 · Cited by 21,526
A sharper Bonferroni procedure for multiple tests of significance
HOCHBERG, Y. (1988) · Biometrika · doi:10.1093/biomet/75.4.800 · Cited by 4,829
Self-citationMeta-Analytic Procedures for Social Research.
Metcalfe, A., & Rosenthal, R. (1994) · The Statistician · doi:10.2307/2348600 · Cited by 4,249
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
On closed testing procedures with special reference to ordered analysis of variance
MARCUS, R., ERIC, P., & GABRIEL, K. R. (1976) · Biometrika · doi:10.1093/biomet/63.3.655 · Cited by 1,423
A stagewise rejective multiple test procedure based on a modified Bonferroni test
HOMMEL, G. (1988) · Biometrika · doi:10.1093/biomet/75.2.383 · Cited by 1,367
Resampling-Based Multiple Testing.
Booth, J. G., Westfall, P. H., & Young, S. S. (1994) · Journal of the American Statistical Association · doi:10.2307/2291234 · Cited by 906
Modified Sequentially Rejective Multiple Test Procedures
Shaffer, J. P. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478341 · Cited by 806
A sequentially rejective test procedure based on a modified Bonferroni inequality
ROM, D. M. (1990) · Biometrika · doi:10.1093/biomet/77.3.663 · Cited by 421
Cited by
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
Self-citationDifferential abundance testing on single-cell data using k-nearest neighbor graphs
Dann, E., Henderson, N. C., Teichmann, S. A., Morgan, M. D., & Marioni, J. C. (2022) · Nature Biotechnology · doi:10.1038/s41587-021-01033-z · Cited by 938
Multiclass Brain–Computer Interface Classification by Riemannian Geometry
Barachant, A., Bonnet, S., Congedo, M., & Jutten, C. (2012) · IEEE Transactions on Biomedical Engineering · doi:10.1109/tbme.2011.2172210 · Cited by 878
Discovering the False Discovery Rate
Benjamini, Y. (2010) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2010.00746.x · Cited by 629
Self-citationEzekowitz, M. D., Connolly, S., Parekh, A., Reilly, P. A., Varrone, J., Wang, S., Oldgren, J., Themeles, E., Wallentin, L., & Yusuf, S. (2009) · American Heart Journal · doi:10.1016/j.ahj.2009.02.005 · Cited by 332
Metadata
- Authors
- Benjamini, Y., & Hochberg, Y.
- Venue
- Scandinavian Journal of Statistics
- Publisher
- Wiley
- Published
- 1997-09
- Volume
- 24
- Issue
- 3
- Pages
- 407-418
- ISSN
- 0303-6898 (ISSN-L)
- 1467-9469
- OpenAlex
- W1985785080
- Cited by
- 311
- References
- 14
- FWCI
- 1.71
- Type
- journal article
- Language
- en
- Open access
- closed
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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