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Main Authors: Reinoso, Vanesa, Alvares, Danilo, Acosta, Jonathan, Beaudry, Isabelle S.
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2604.10018
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author Reinoso, Vanesa
Alvares, Danilo
Acosta, Jonathan
Beaudry, Isabelle S.
author_facet Reinoso, Vanesa
Alvares, Danilo
Acosta, Jonathan
Beaudry, Isabelle S.
contents Respondent-Driven Sampling (RDS) is a chain-referral design used for collecting data from hidden or hard-to-reach populations through their social networks. In RDS, respondents recruit their peers from the population of interest. As such, inference with RDS data commonly relies on estimated sampling probabilities derived from specific recruitment assumptions. Early literature assumes random recruitment, which is often unrealistic because individuals may recruit based on their personal preferences. This behavior is known as Differential Recruitment (DR). Recent works have incorporated univariate categorical DR in the estimation procedures. The main objective of this paper is to introduce Multivariate Differential Recruitment (MDR), a framework that incorporates multiple simultaneous covariates, both categorical and continuous, into the sampling representation. We model RDS as a Markov process with transition probabilities that depend on continuous or categorical variables associated with nodes or their ties. We then extend various prevalence estimators to this multivariate framework and implement a slightly modified neighborhood bootstrap for variance estimation. The proposed methodology is assessed through simulation studies for a range of network and sampling features. It is applied to an RDS study conducted among the adult Venezuelan population living in the Metropolitan Region of Santiago, Chile.
format Preprint
id arxiv_https___arxiv_org_abs_2604_10018
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Inference from multivariate differential recruitment in respondent-driven sampling data
Reinoso, Vanesa
Alvares, Danilo
Acosta, Jonathan
Beaudry, Isabelle S.
Methodology
Respondent-Driven Sampling (RDS) is a chain-referral design used for collecting data from hidden or hard-to-reach populations through their social networks. In RDS, respondents recruit their peers from the population of interest. As such, inference with RDS data commonly relies on estimated sampling probabilities derived from specific recruitment assumptions. Early literature assumes random recruitment, which is often unrealistic because individuals may recruit based on their personal preferences. This behavior is known as Differential Recruitment (DR). Recent works have incorporated univariate categorical DR in the estimation procedures. The main objective of this paper is to introduce Multivariate Differential Recruitment (MDR), a framework that incorporates multiple simultaneous covariates, both categorical and continuous, into the sampling representation. We model RDS as a Markov process with transition probabilities that depend on continuous or categorical variables associated with nodes or their ties. We then extend various prevalence estimators to this multivariate framework and implement a slightly modified neighborhood bootstrap for variance estimation. The proposed methodology is assessed through simulation studies for a range of network and sampling features. It is applied to an RDS study conducted among the adult Venezuelan population living in the Metropolitan Region of Santiago, Chile.
title Inference from multivariate differential recruitment in respondent-driven sampling data
topic Methodology
url https://arxiv.org/abs/2604.10018