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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:
Filetype[PDF-539.67 KB]

  • Alternative Title:
    J Agric Biol Environ Stat
  • 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.

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