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MDPI, Mathematics, 8(8), p. 1315, 2020

DOI: 10.3390/math8081315

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Estimation of Non-Linear Parameters with Data Collected Using Respondent-Driven Sampling

Journal article published in 2020 by Ismael Sánchez-Borrego ORCID, María del Mar Rueda ORCID, Héctor Mullo ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

Respondent-driven sampling (RDS) is a snowball-type sampling method used to survey hidden populations, that is, those that lack a sampling frame. In this work, we consider the problem of regression modeling and association for continuous RDS data. We propose a new sample weight method for estimating non-linear parameters such as the covariance and the correlation coefficient. We also estimate the variances of the proposed estimators. As an illustration, we performed a simulation study and an application to an ethnic example. The proposed estimators are consistent and asymptotically unbiased. We discuss the applicability of the method as well as future research.