Bias Correction in Estimating Proportions by 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, 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.
• Subjects:
  Article Bias Correction Estimation Of Proportions Group Testing Pooled Testing Virus Prevalence
• Source:
  J Agric Biol Environ Stat. 22(4):602-614
• Pubmed ID:
  30636859
• Pubmed Central ID:
  PMC6325642
• Document Type:
  Journal Article
• Funding:
  CC999999/Intramural CDC HHS/United States
• Volume:
  22
• Issue:
  4
• Collection(s):
  CDC Public Access
• Main Document Checksum:
  urn:sha256:c125771aff34be2fe16341fb3efed9c87e5b874e12e878041e021b69c2326f97
• Download URL:
  https://stacks.cdc.gov/view/cdc/62075/cdc_62075_DS1.pdf
• File Type:
  [PDF - 539.67 KB ]