Electronic Journal of Statistics

Respondent-driven sampling on directed networks

Xin Lu, Jens Malmros, Fredrik Liljeros, and Tom Britton

Full-text: Open access

Abstract

Respondent-driven sampling (RDS) is a widely used method for generating chain-referral samples from hidden populations. It is an extension of the snowball sampling method and can, given that some assumptions are met, generate unbiased population estimates. One key assumption, not likely to be met, is that the acquaintance network in which the recruitment process takes place is undirected, meaning that all recruiters should have the potential to be recruited by the person they recruit. Using a mean-field approach, we develop an estimator which is based on prior information about the average indegrees of estimated variables. When the indegree is known, such as for RDS studies over internet social networks, the estimator can greatly reduce estimate error and bias as compared with current methods; when the indegree is not known, which is most common for interview-based RDS studies, the estimator can through sensitivity analysis be used as a tool to account for uncertainties of network directedness and error in self-reported degree data. The performance of the new estimator, together with previous RDS estimators, is investigated thoroughly by simulations on networks with varying structures. We have applied the new estimator on an empirical RDS study for injecting drug users in New York City.

Article information

Source
Electron. J. Statist., Volume 7 (2013), 292-322.

Dates
First available in Project Euclid: 24 January 2013

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1359041593

Digital Object Identifier
doi:10.1214/13-EJS772

Mathematical Reviews number (MathSciNet)
MR3020422

Zentralblatt MATH identifier
1336.62246

Subjects
Primary: 62P25: Applications to social sciences 62-07: Data analysis

Keywords
Respondent-driven sampling directed networks degree correlation attractivity ratio HIV

Citation

Lu, Xin; Malmros, Jens; Liljeros, Fredrik; Britton, Tom. Respondent-driven sampling on directed networks. Electron. J. Statist. 7 (2013), 292--322. doi:10.1214/13-EJS772. https://projecteuclid.org/euclid.ejs/1359041593


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