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Combining Non-probability and Probability Survey Samples Through Mass Imputation

Jae Kwang Kim, Seho Park, Yilin Chen, Changbao Wu

Résumé : This paper presents theoretical results on combining non-probability and probability survey samples through mass imputation, an approach originally proposed by Rivers (2007) as sample matching without rigorous theoretical justification. Under suitable regularity conditions, we establish the consistency of the mass imputation estimator and derive its asymptotic variance formula. Variance estimators are developed using either linearization or bootstrap. Finite sample performances of the mass imputation estimator are investigated through simulation studies and an application to analyzing a non-probability sample collected by the Pew Research Centre.

Soumis à arXiv le 27 Déc. 2018