General Regression Methods for Respondent-Driven Sampling Data
Mamadou Yauck, Erica E. M. Moodie, Herak Apelian, Alain Fourmigue,, Daniel Grace, Trevor Hart, Gilles Lambert, Joseph Cox

TL;DR
This paper introduces a new regression methodology tailored for Respondent-Driven Sampling data, addressing network dependence and homophily, and applies it to study HIV treatment optimism among MSM in Montreal.
Contribution
It develops a general regression framework for RDS data that accounts for network structure and homophily, filling a gap in multivariate modeling strategies.
Findings
Identifies socio-demographic predictors of HIV treatment optimism.
Provides a principled approach for regression analysis with RDS data.
Demonstrates the methodology on real-world RDS data from Montreal.
Abstract
Respondent-Driven Sampling (RDS) is a variant of link-tracing sampling techniques that aim to recruit hard-to-reach populations by leveraging individuals' social relationships. As such, an RDS sample has a graphical component which represents a partially observed network of unknown structure. Moreover, it is common to observe homophily, or the tendency to form connections with individuals who share similar traits. Currently, there is a lack of principled guidance on multivariate modeling strategies for RDS to address homophilic covariates and the dependence between observations within the network. In this work, we propose a methodology for general regression techniques using RDS data. This is used to study the socio-demographic predictors of HIV treatment optimism (about the value of antiretroviral therapy) among gay, bisexual and other men who have sex with men, recruited into an RDS…
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