Skip Navigation

Biometrika 1972 59(2):472-475; doi:10.1093/biomet/59.2.472
© 1972 by Biometrika Trust
This Article
Right arrow Full Text (PDF)
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 PETO, R.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

MISCELLANEA

Rank tests of maximal power against Lehmann-type alternatives

RICHARD PETO

Badcliffe Infirmary, Oxford University

The comparison, is considered of two groups of independent observations on the times of death of experimental subjects; some of the observations may be right-censored. It is assumed that censoring is applied randomly in a similar manner to all subjects. The null hypothesis is that the ratio of the death rates in the two groups is unity at all times; the Lehmann-type alternative hypothesis is that this ratio is constant but has some particular value other than unity. The rank invariant test procedures of maximal power against such alternatives are constructed, and from them the locally most powerful rank invariant test procedure is generated. In the absence of tied ranks, this is the same as the log rank test (Peto & Peto, 1972).

Key Words: Rank tests • Log rank test • Lehmann alternatives • Locally powerful rank tests • Censored data • Two-sample pattern


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.