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

Mathematics

Maríadel Mar Rueda¹  Ismael Sánchez-Borrego¹  Héctor Mullo² 

[1] Department of Statistics and Operations Research, University of Granada, 18071 Granada, Spain;Facultad de Ciencias, Escuela Superior Politécnica de Chimborazo (ESPOCH), 060155 Riobamba, Ecuador;

关键词: Respondent-driven sampling;    regression;    network dependence;   

DOI  :  10.3390/math8081315

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown