Bias Correction in Estimating Proportions by Imperfect Pooled Testing

Details

• Alternative Title:
  J Agric Biol Environ Stat
• Personal Author:
  Hepworth, Graham ; Biggerstaff, Brad J.
• Description:
  In the estimation of proportions by pooled testing, the MLE is biased. Hepworth and Biggerstaff (JABES, 22:602-614, 2017) proposed an estimator based on the bias correction method of Firth (Biometrika 80:27-38, 1993) and showed that it is almost unbiased across a range of pooled testing problems involving no misclassification. We now extend their work to allow for imperfect testing. We derive the estimator, provide a Newton-Raphson iterative formula for its computation and test it in situations involving equal or unequal pool sizes, drawing on problems encountered in plant disease assessment and prevalence estimation of mosquito-borne viruses. Our estimator is highly effective at reducing the bias for prevalences consistent with the pooled testing procedure employed.
• Keywords:
  Diagnostic Testing Firth’s Correction Group Testing Sensitivity Specificity
• Source:
  J Agric Biol Environ Stat. 26:90-104
• Pubmed ID:
  38618153
• Pubmed Central ID:
  PMC11010583
• Document Type:
  Journal Article
• Funding:
  CC999999/ImCDC/Intramural CDC HHSUnited States/
• Volume:
  26
• Collection(s):
  CDC Public Access
• Main Document Checksum:
  urn:sha256:3e4a7dec7f606997bcf0d8ae4222d931ed2b8cd4b44a23e0dbb5736e204dead2
• Download URL:
  https://stacks.cdc.gov/view/cdc/154376/cdc_154376_DS1.pdf
• File Type:
  [PDF - 569.25 KB ]