Abstract
Using information from multiple surveys to produce better pooled estimators is an active research area in recent days. Multiple surveys from same target population is common in many socioeconomic and health surveys. Often all the surveys do not contain same set of variables. Here we consider a standard situation where responses are known for all the samples from multiple surveys but the same set of covariates (or auxiliary variables) is not observed in all the samples. Moreover, in our case we consider a finite population set up where samples are drawn from multiple finite populations using same or different probability sampling designs. Here the problem is to estimate the parameters (or superpopulation parameters) of underlying regression model. We propose quadratic inference function estimator by combining information related to the underlying model from different samples through design weighted estimating functions (or score functions). We did a small simulation study for comprehensive understanding of our approach.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Chen, J., & Sitter, R. R. (1999). A pseudo empirical likelihood approach to the effective use of auxiliary information in complex surveys. Statistica Sinica, 9, 385–406.
Citro, C. F. (2014). From multiple modes for surveys to multiple data sources for estimates. Survey Methodology, 40, 137–161.
Gelman, A., King, G., & Liu, C. (1998). Not asked and not answered: Mulitple imputation for multiple surveys. Journal of the American Statistical Association, 93, 847–857.
Godambe, V. P., & Thompson, M. E. (1986). Parameters of superpopulation and survey population: Their relationships and estimation. International Statistical Review, 54, 127138.
Graubard, B. I., & Korn, E. L. (2002). Inference for superpopulation parameters using sample surveys. Statistical Science, 17, 73–96.
Kim, J. K., & Rao, J. N. K. (2012). Combining data from two independent surveys: A model assisted approach. Biometrika, 99, 85–100.
Lindsay, B. G., & Qu, A. (2003). Inference functions and quadratic score tests. Statistical Science, 18, 394–410.
Lohr, S. L., & Raghunathan, T. E. (2016). Combining survey data with other data sources. Statistical Science, 32, 293–312.
Rendall, M. S., Ghosh-Dastidar, B., Weden, M. M., Baker, E. H., & Nazarov, Z. (2013). Multiple imputation for combined-survey estimation with incomplete regressors in one but not both surveys. Social Methods and Research, 42, 483–530.
Roberts, G., & Binder, D. (2009). Analyses based on combining similar information from multiple surveys. In JSM: Section on Survey Methods.
Rubin, D. B. (1986). Statistical matching using file concatenation with adjusted weights and multiple imputations. Journal of Business and Economic Statistics, 21, 6573.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Adhya, S., Bhattacharjee, D., Banerjee, T. (2018). Design Weighted Quadratic Inference Function Estimators of Superpopulation Parameters. In: Chattopadhyay, A., Chattopadhyay, G. (eds) Statistics and its Applications. PJICAS 2016. Springer Proceedings in Mathematics & Statistics, vol 244. Springer, Singapore. https://doi.org/10.1007/978-981-13-1223-6_14
Download citation
DOI: https://doi.org/10.1007/978-981-13-1223-6_14
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-1222-9
Online ISBN: 978-981-13-1223-6
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)