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

Author

Listed:
  • Ismael Sánchez-Borrego

    (Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain)

  • María del Mar Rueda

    (Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain)

  • Héctor Mullo

    (Facultad de Ciencias, Escuela Superior Politécnica de Chimborazo (ESPOCH), 060155 Riobamba, Ecuador)

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.

Suggested Citation

  • Ismael Sánchez-Borrego & María del Mar Rueda & Héctor Mullo, 2020. "Estimation of Non-Linear Parameters with Data Collected Using Respondent-Driven Sampling," Mathematics, MDPI, vol. 8(8), pages 1-10, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:8:p:1315-:d:396001
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    References listed on IDEAS

    as
    1. Hipp, Lena & Kohler, Ulrich & Leumann, Sandra, 2019. "How to Implement Respondent-Driven Sampling in Practice: Insights from Surveying 24-Hour Migrant Home Care Workers," EconStor Open Access Articles and Book Chapters, ZBW - Leibniz Information Centre for Economics, pages 1-13.
    2. Luis E. C. Rocha & Anna E. Thorson & Renaud Lambiotte & Fredrik Liljeros, 2017. "Respondent-driven sampling bias induced by community structure and response rates in social networks," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 180(1), pages 99-118, January.
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