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)

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.
Original languageEnglish
Article number39
JournalFrontiers in Public Health
Volume1
Issue numberOCT
DOIs
Publication statusPublished - 7 Oct 2013

Keywords

  • 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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