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Hidden Population Estimation with Indirect Inference and Auxiliary Information
Justin Weltz1, Eric Laber1,2, Alexander Volfovsky1,3
1Department of Statistical Science, Duke University, Durham, North Carolina, USA.
Respondent Driven Sampling (RDS) struggles with accurate hidden population size estimation. This study introduces a new method using auxiliary data and indirect inference to reduce bias and improve precision in RDS surveys.
Area of Science:
- Social Network Analysis
- Statistical Modeling
- Public Health Research
Background:
- Conventional survey methods face challenges in sampling hidden or stigmatized populations.
- Respondent Driven Sampling (RDS) is a key method for reaching these groups, but existing imputation techniques introduce bias.
- Accurate estimation of hidden population sizes is crucial for public health interventions.
Purpose of the Study:
- To develop an improved statistical method for estimating hidden population sizes using Respondent Driven Sampling (RDS).
- To address and reduce estimation bias inherent in current RDS imputation techniques.
- To enhance the precision of key RDS-derived metrics, including arrival rates and subgraph characteristics.
Main Methods:
- Modeling RDS as a stochastic process on social network graphs.
- Leveraging auxiliary participant information and indirect inference for improved imputation.
- Developing novel statistical techniques to correct for biased edge imputation in RDS.
Main Results:
- The proposed method significantly reduces bias in estimating the study participant arrival rate, sample subgraph, and overall population size.
- Improved precision was observed in key estimation parameters compared to existing methods.
- Demonstrated successful application in estimating the size of the People Who Inject Drugs (PWID) population in Estonia.
Conclusions:
- The novel indirect inference approach offers a more accurate and precise way to analyze RDS data.
- This method enhances the reliability of estimates for hidden populations, crucial for targeted health programs.
- The findings have direct implications for improving the accuracy of public health surveys in hard-to-reach populations.
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