Two-Dimensional Informative Array Testing
Article first published online: 29 DEC 2011
© 2011, The International Biometric Society
Volume 68, Issue 3, pages 793–804, September 2012
How to Cite
McMahan, C. S., Tebbs, J. M. and Bilder, C. R. (2012), Two-Dimensional Informative Array Testing. Biometrics, 68: 793–804. doi: 10.1111/j.1541-0420.2011.01726.x
- Issue published online: 26 SEP 2012
- Article first published online: 29 DEC 2011
- Received June 2011. Revised October 2011. Accepted November 2011.
- Disease screening;
- Group testing;
- Infertility Prevention Project;
- Matrix pooling;
- Pooled testing
Summary Array-based group-testing algorithms for case identification are widely used in infectious disease testing, drug discovery, and genetics. In this article, we generalize previous statistical work in array testing to account for heterogeneity among individuals being tested. We first derive closed-form expressions for the expected number of tests (efficiency) and misclassification probabilities (sensitivity, specificity, predictive values) for two-dimensional array testing in a heterogeneous population. We then propose two “informative” array construction techniques which exploit population heterogeneity in ways that can substantially improve testing efficiency when compared to classical approaches that regard the population as homogeneous. Furthermore, a useful byproduct of our methodology is that misclassification probabilities can be estimated on a per-individual basis. We illustrate our new procedures using chlamydia and gonorrhea testing data collected in Nebraska as part of the Infertility Prevention Project.