Informative Dorfman Screening

Christopher S. Mcmahan, Joshua M. Tebbs, Christopher R. Bilder

Research output: Contribution to journalArticle

32 Citations (Scopus)

Abstract

Since the early 1940s, group testing (pooled testing) has been used to reduce costs in a variety of applications, including infectious disease screening, drug discovery, and genetics. In such applications, the goal is often to classify individuals as positive or negative using initial group testing results and the subsequent process of decoding of positive pools. Many decoding algorithms have been proposed, but most fail to acknowledge, and to further exploit, the heterogeneous nature of the individuals being screened. In this article, we use individuals' risk probabilities to formulate new informative decoding algorithms that implement Dorfman retesting in a heterogeneous population. We introduce the concept of "thresholding" to classify individuals as "high" or "low risk," so that separate, risk-specific algorithms may be used, while simultaneously identifying pool sizes that minimize the expected number of tests. When compared to competing algorithms which treat the population as homogeneous, we show that significant gains in testing efficiency can be realized with virtually no loss in screening accuracy. An important additional benefit is that our new procedures are easy to implement. We apply our methods to chlamydia and gonorrhea data collected recently in Nebraska as part of the Infertility Prevention Project.

Original languageEnglish (US)
Pages (from-to)287-296
Number of pages10
JournalBiometrics
Volume68
Issue number1
DOIs
StatePublished - Mar 1 2012

Fingerprint

Screening
screening
Decoding
Group Testing
Testing
Classify
testing
Infertility
Drug Discovery
Chlamydia
Gonorrhea
Infectious Diseases
Genetic Testing
Thresholding
Population
Communicable Diseases
infectious diseases
Minimise
Costs and Cost Analysis
Costs

Keywords

  • Dorfman retesting
  • Group testing
  • Infertility Prevention Project
  • Pooled testing
  • Sensitivity
  • Specificity

ASJC Scopus subject areas

  • Statistics and Probability
  • Biochemistry, Genetics and Molecular Biology(all)
  • Immunology and Microbiology(all)
  • Agricultural and Biological Sciences(all)
  • Applied Mathematics

Cite this

Informative Dorfman Screening. / Mcmahan, Christopher S.; Tebbs, Joshua M.; Bilder, Christopher R.

In: Biometrics, Vol. 68, No. 1, 01.03.2012, p. 287-296.

Research output: Contribution to journalArticle

Mcmahan, Christopher S. ; Tebbs, Joshua M. ; Bilder, Christopher R. / Informative Dorfman Screening. In: Biometrics. 2012 ; Vol. 68, No. 1. pp. 287-296.
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