Bias Correction in Estimating Proportions by Pooled Testing
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Bias Correction in Estimating Proportions by Pooled Testing
  • Published Date:

    Aug 01 2017

  • Source:
    J Agric Biol Environ Stat. 22(4):602-614
  • Language:
    English
Filetype[PDF-539.67 KB]


Details:
  • Alternative Title:
    J Agric Biol Environ Stat
  • Personal Author:
  • Description:
    In the estimation of proportions by pooled testing, the MLE is biased, and several methods of correcting the bias have been presented in previous studies. We propose a new estimator based on the bias correction method introduced by Firth (Biometrika 80:27-38, 1993), which uses a modification of the score function, and we provide an easily computable, Newton-Raphson iterative formula for its computation. Our proposed estimator is almost unbiased across a range of problems, and superior to existing methods. We show that for equal pool sizes the new estimator is equivalent to the estimator proposed by Burrows (Phytopathology 77:363-365, 1987). The performance of our estimator is examined using pooled testing problems encountered in plant disease assessment and prevalence estimation of mosquito-borne viruses.
  • Subject:
  • Pubmed ID:
    30636859
  • Pubmed Central ID:
    PMC6325642
  • Document Type:
    Journal Article
  • Funding:
    CC999999/Intramural CDC HHS/United States
  • Collection(s):
    CDC Public Access
  • Main Document Checksum:
  • File Type:
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