Skip Navigation

Biometrika 2007 94(4):999-1005; doi:10.1093/biomet/asm075
This Article
Right arrow Full Text (PDF)
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 Fienberg, S. E.
Right arrow Articles by Kim, S.-H.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© 2007 Biometrika Trust

Miscellanea

Positive Association Among Three Binary Variables and Cross-Product Ratios

Stephen E. Fienberg

Department of Statistics, Carnegie Mellon University, Pittsburgh, Pennsylvania 15213, U.S.A. fienberg{at}stat.cmu.edu

Sung-Ho Kim

Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Daejeon 305-701, South Korea shkim{at}amath.kaist.ac.krs

Received for publication 1 July 2006. Revision received 1 May 2007.
  Abstract

We show that, when the three-way association level among the three binary variables, X, U1 and U2 is fixed, DP = pr(X = 1¦U1 = 1) – pr(X = 1¦U1 = 0) increases as the cross-product ratio of U1 and U2 increases under the assumption that X is positively associated with U1 and U2. We then discuss some implications of this property.

Key Words: Conditional probability • Discriminating ability • Prediction robustness • Yule–Simpson paradox


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.