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Article

Estimating General Parameters from Non-Probability Surveys Using Propensity Score Adjustment

Department of Statistics and Operational Research, University of Granada, 18071 Granada, Spain
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(11), 2096; https://doi.org/10.3390/math8112096
Received: 20 October 2020 / Revised: 16 November 2020 / Accepted: 21 November 2020 / Published: 23 November 2020
(This article belongs to the Special Issue Stochastic Statistics and Modeling)
This study introduces a general framework on inference for a general parameter using nonprobability survey data when a probability sample with auxiliary variables, common to both samples, is available. The proposed framework covers parameters from inequality measures and distribution function estimates but the scope of the paper is broader. We develop a rigorous framework for general parameter estimation by solving survey weighted estimating equations which involve propensity score estimation for units in the non-probability sample. This development includes the expression of the variance estimator, as well as some alternatives which are discussed under the proposed framework. We carried a simulation study using data from a real-world survey, on which the application of the estimation methods showed the effectiveness of the proposed design-based inference on several general parameters. View Full-Text
Keywords: nonprobability surveys; propensity score adjustment; survey sampling nonprobability surveys; propensity score adjustment; survey sampling
MDPI and ACS Style

Castro-Martín, L.; Rueda, M.d.M.; Ferri-García, R. Estimating General Parameters from Non-Probability Surveys Using Propensity Score Adjustment. Mathematics 2020, 8, 2096. https://doi.org/10.3390/math8112096

AMA Style

Castro-Martín L, Rueda MdM, Ferri-García R. Estimating General Parameters from Non-Probability Surveys Using Propensity Score Adjustment. Mathematics. 2020; 8(11):2096. https://doi.org/10.3390/math8112096

Chicago/Turabian Style

Castro-Martín, Luis, María d.M. Rueda, and Ramón Ferri-García. 2020. "Estimating General Parameters from Non-Probability Surveys Using Propensity Score Adjustment" Mathematics 8, no. 11: 2096. https://doi.org/10.3390/math8112096

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