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Title: Improved confidence intervals of a small probability from pooled testing with misclassification
Authors: Liu, C 
Liu, A
Zhang, B
Zhang, Z
Keywords: Confidence intervals
Coverage probability
Exact inference
Rare event
Issue Date: 2013
Source: Frontiers in public health, 2013, v. 1, p. 1-7 How to cite?
Journal: Frontiers in public health 
Abstract: 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.
ISSN: 2296-2565(print)
DOI: 10.3389/fpubh.2013.00039
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