Use of Binomial Group Testing in Tests of Hypotheses for Classification or Quantitative Covariables
Article first published online: 25 MAY 2004
Volume 56, Issue 1, pages 204–212, March 2000
How to Cite
Hung, M.-C. and Swallow, W. H. (2000), Use of Binomial Group Testing in Tests of Hypotheses for Classification or Quantitative Covariables. Biometrics, 56: 204–212. doi: 10.1111/j.0006-341X.2000.00204.x
- Issue published online: 25 MAY 2004
- Article first published online: 25 MAY 2004
- Received September 1997. Revised May 1999. Accepted May 1999.
- Asymptotic relative efficiency;
- Binary data;
- Hypothesis testing
Summary. In group testing, the test unit consists of a group of individuals. If the group test is positive, then one or more individuals in the group are assumed to be positive. A group observation in binomial group testing can be, say, the test result (positive or negative) for a pool of blood samples that come from several different individuals. It has been shown that, when the proportion (p) of infected individuals is low, group testing is often preferable to individual testing for identifying infected individuals and for estimating proportions of those infected. We extend the potential applications of group testing to hypothesis-testing problems wherein one wants to test for a relationship between p and a classification or quantitative covariable. Asymptotic relative efficiencies (AREs) of tests based on group testing versus the usual individual testing are obtained. The Pitman ARE strongly favors group testing in many cases. Small-sample results from simulation studies are given and are consistent with the large-sample (asymptotic) findings. We illustrate the potential advantages of group testing in hypothesis testing using HIV-1 seroprevalence data.