Dataset Information

Population Size Estimation using Zero-truncated Poisson Regression with Measurement Error.

ABSTRACT: Population size estimation is an important research field in biological sciences. In practice, covariates are often measured upon capture on individuals sampled from the population. However, some biological measurements, such as body weight may vary over time within a subject's capture history. This can be treated as a population size estimation problem in the presence of covariate measurement error. We show that if the unobserved true covariate and measurement error are both normally distributed, then a naïve estimator without taking into account measurement error will under-estimate the population size. We then develop new methods to correct for the effect of measurement errors. In particular, we present a conditional score and a nonparametric corrected score approach that are both consistent for population size estimation. Importantly, the proposed approaches do not require the distribution assumption on the true covariates, furthermore the latter does not require normality assumptions on the measurement errors. This is highly relevant in biological applications, as the distribution of covariates is often non-normal or unknown. We investigate finite sample performance of the new estimators via extensive simulated studies. The methods are applied to real data from a capture-recapture study.

SUBMITTER: Hwang WH

PROVIDER: S-EPMC9269986 | biostudies-literature | 2022 Jun

REPOSITORIES: biostudies-literature

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Population Size Estimation using Zero-truncated Poisson Regression with Measurement Error.

Hwang Wen-Han WH Stoklosa Jakub J Wang Ching-Yun CY

Journal of agricultural, biological, and environmental statistics 20220112 2

Population size estimation is an important research field in biological sciences. In practice, covariates are often measured upon capture on individuals sampled from the population. However, some biological measurements, such as body weight may vary over time within a subject's capture history. This can be treated as a population size estimation problem in the presence of covariate measurement error. We show that if the unobserved true covariate and measurement error are both normally distribute ...[more]

PMID: 35813491

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Dataset Information

Population Size Estimation using Zero-truncated Poisson Regression with Measurement Error.

Publications

Population Size Estimation using Zero-truncated Poisson Regression with Measurement Error.

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