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Abstract
Survey data collection costs have risen to a point where many survey researchers and polling companies are abandoning large, expensive probabilitybased samples in favour of less expensive nonprobability samples. The empirical literature suggests this strategy may be suboptimal for multiple reasons, amongst them probability samples tend to outperform nonprobability samples on accuracy when assessed against population benchmarks. However, nonprobability samples are often preferred due to convenience and cost effectiveness. Instead of forgoing probability sampling entirely, we propose a method of combining both probability and nonprobability samples in a way that exploits their strengths to overcome their weaknesses within a Bayesian inferential framework. By using simulated data, we evaluate supplementing inferences based on small probability samples with prior distributions derived from nonprobability data. We demonstrate that informative priors based on nonprobability data can lead to reductions in variances and meansquared errors for linear model coefficients. The method is also illustrated with actual probability and nonprobability survey data. A discussion of these ndings, their implications for survey practice, and possible research extensions are provided in conclusion.
Original language  English 

Pages (fromto)  120–147 
Journal  Journal of Survey Statistics and Methodology 
Volume  8 
Issue number  1 
DOIs  
Publication status  Published  27 Jan 2020 
Keywords
 Bayesian inference
 quota sampling
 web surveys
 online panels
 data integration
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Dive into the research topics of 'Integrating Probability and Nonprobability Samples for Survey Inference'. Together they form a unique fingerprint.Projects
 2 Finished

Statistical Modelling
Onah, C. N., Shlomo, N., Chandola, T., Schoch, D., Cuitún Coronado, J., AparicioCastro, A., Thestrup, S., Olsen, W. K., Cernat, A., Shryane, N., Wisniowski, A., Smith, D., AparicioCastro, A., Shafie, T., Hannemann, T., MoralesGómez, A., Mellon, J., Troncoso Ruiz, P., Taub, J., Murphy, J., Guest, E., Kim, J., Watson, J., Pashazadeh, F., Hoór, D., Jones, P. & Gosling, Z.
1/08/19 → 30/09/22
Project: Research

Combining probability and nonprobability samples to reduce survey errors and survey costs: a proofofconcept study
Sakshaug, J. & Wisniowski, A.
1/10/17 → 31/03/18
Project: Research