Group Testing for Case Identification with Correlated Responses
Article first published online: 27 SEP 2011
© 2011, The International Biometric Society
Volume 68, Issue 2, pages 532–540, June 2012
How to Cite
Lendle, S. D., Hudgens, M. G. and Qaqish, B. F. (2012), Group Testing for Case Identification with Correlated Responses. Biometrics, 68: 532–540. doi: 10.1111/j.1541-0420.2011.01674.x
- Issue published online: 26 JUN 2012
- Article first published online: 27 SEP 2011
- Received August 2010. Revised July 2011. Accepted August 2011.
- Composite sampling;
- Epitope mapping;
- Exchangeable binary random variables;
- Group testing;
- Matrix testing;
- Pooled testing
Summary This article examines group testing procedures where units within a group (or pool) may be correlated. The expected number of tests per unit (i.e., efficiency) of hierarchical- and matrix-based procedures is derived based on a class of models of exchangeable binary random variables. The effect on efficiency of the arrangement of correlated units within pools is then examined. In general, when correlated units are arranged in the same pool, the expected number of tests per unit decreases, sometimes substantially, relative to arrangements that ignore information about correlation.