Improved confidence intervals of a small probability from pooled testing with misclassification

Chunling Liu, Aiyi Liu, Bo Zhang, Zhiwei Zhang

Research output: Journal article publicationJournal articleAcademic researchpeer-review

4 Citations (Scopus)


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.
Original languageEnglish
Article number39
JournalFrontiers in Public Health
Issue numberOCT
Publication statusPublished - 7 Oct 2013


  • Confidence intervals
  • Coverage probability
  • Exact inference
  • Pooling
  • Prevalence
  • Rare event
  • Sensitivity
  • Specificity

ASJC Scopus subject areas

  • Public Health, Environmental and Occupational Health


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