Skip Navigation

Biometrika 1989 76(3):577-583; doi:10.1093/biomet/76.3.577
© 1989 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 TANG, D.-I.
Right arrow Articles by GELLER, N. L.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

An approximate likelihood ratio test for a normal mean vector with nonnegative components with application to clinical trials

DEI-IN TANG, CLARE GNECCO and NANCY L. GELLER

Biostatistics, Memorial Sloan-Kettering Cancer Center New York, New York 10021, U.S.A.

A new multivariate statistic, designed to be sensitive to the alternative hypothesis that a mean vector lies in the positive orthant, rather than to all alternatives or to alternatives on a line (O'Brien, 1984), is proposed. The statistic is shown to approximate the likelihood ratio test statistic for such alternatives (Kudô, 1963; Perlman, 1969). Its null distribution is a special case of the chi-bar-squared distribution, which allows critical values to be obtained. Such a statistic may be used in two-armed clinical trials where we are interested in showing that one treatment is better than another with respect to several responses. As an example, a clinical trial is reanalyzed, with stronger conclusions than had been drawn originally.

Key Words: Clinical trial design • Multiple endpoints • Multiple response • Multiplicity • Multivariate analysis • O'Brien's statistic • One-sided alternative


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


This article has been cited by other articles:


Home page
 Stat Methods Med ResHome page
B. G Leroux, L. A Mancl, and T. A DeRouen
Group sequential testing in dental clinical trials with longitudinal data on multiple outcome variables
Statistical Methods in Medical Research, December 1, 2005; 14(6): 591 - 602.
[Abstract] [PDF]

Home page
 J. Dent. Res.Home page
B.P. Katz and E. Huntington
Statistical Issues for Combining Multiple Caries Diagnostics for Demonstrating Caries Efficacy
J. Dent. Res., July 1, 2004; 83(suppl_1): C109 - C112.
[Abstract] [Full Text] [PDF]


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.