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Bias Correction in Estimating Proportions by Imperfect Pooled Testing
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2021
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Source: J Agric Biol Environ Stat. 26:90-104
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Alternative Title:J Agric Biol Environ Stat
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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.
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Pubmed ID:38618153
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Pubmed Central ID:PMC11010583
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Volume:26
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