Skip Navigation



Biometrika Advance Access published online on October 12, 2009
Biometrika, doi:10.1093/biomet/asp048
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
96/4/1012    most recent
asp048v1
Right arrow References
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Guo, W.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2009 Biometrika Trust

Miscellanea

A note on adaptive Bonferroni and Holm procedures under dependence

Wenge Guo

Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, New Jersey 07102-1982, U.S.A. wenge.guo{at}gmail.com

Received for publication 1 March 2008. Revision received 1 March 2009.
  Abstract

Hochberg & Benjamini (1990) first presented adaptive procedures for controlling familywise error rate. However, until now, it has not been proved that these procedures control the familywise error rate. We introduce a simplified version of Hochberg & Benjamini’s adaptive Bonferroni and Holm procedures. Assuming a conditional dependence model, we prove that the former procedure controls the familywise error rate in finite samples while the latter controls it approximately.

Key Words: Bonferroni procedure • Conditional dependence • Familywise error rate • Holm procedure • Multiple testing • Step-down procedure


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.