AUTHOR=Liu Chunling , Liu Aiyi , Zhang Bo , Zhang Zhiwei 

TITLE=Improved Confidence Intervals of a Small Probability from Pooled Testing with Misclassification

JOURNAL=Frontiers in Public Health

VOLUME=1

YEAR=2013

URL=https://www.frontiersin.org/journals/public-health/articles/10.3389/fpubh.2013.00039

DOI=10.3389/fpubh.2013.00039

ISSN=2296-2565

ABSTRACT=<p>This article concerns construction of confidence intervals for the prevalence of a rare disease using Dorfman’s pooled testing procedure when the disease status is classified with an imperfect biomarker. Such an interval can be derived by converting a confidence interval for the probability that a group is tested positive. Wald confidence intervals based on a normal approximation are shown to be inefficient in terms of coverage probability, even for relatively large number of pools. A few alternatives are proposed and their performance is investigated in terms of coverage probability and length of intervals.</p>