Conditioning in 2 × 2 Tables
Version of Record online: 23 MAY 2008
© 2008, The International Biometric Society No claimto original US government works
Volume 65, Issue 1, pages 316–322, March 2009
How to Cite
Proschan, M. A. and Nason, M. (2009), Conditioning in 2 × 2 Tables. Biometrics, 65: 316–322. doi: 10.1111/j.1541-0420.2008.01053.x
- Issue online: 17 MAR 2009
- Version of Record online: 23 MAY 2008
- Received July 2007. Revised December 2007. Accepted January 2008.
- Adaptive sample size;
- Conditional inference;
- Contingency table;
- Fisher's exact test;
- Nuisance parameter;
- Test of proportions
Summary Two-by-two tables arise in a number of diverse settings in biomedical research, including analysis of data from a clinical trial with a binary outcome and gating methods in flow cytometry to separate antigen-specific immune responses from general immune responses. These applications offer interesting challenges concerning what we should really be conditioning on—the total number of events, the number of events in the control condition, etc. We give several biostatistics examples to illustrate the complexities of analyzing what appear to be simple data.