Survey Methodology
Model-based small area estimation under informative sampling

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by François Verret, J.N.K. Rao and Michael A. HidiroglouNote 1

  • Release date: December 17, 2015
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Abstract

Unit level population models are often used in model-based small area estimation of totals and means, but the models may not hold for the sample if the sampling design is informative for the model. As a result, standard methods, assuming that the model holds for the sample, can lead to biased estimators. We study alternative methods that use a suitable function of the unit selection probability as an additional auxiliary variable in the sample model. We report the results of a simulation study on the bias and mean squared error (MSE) of the proposed estimators of small area means and on the relative bias of the associated MSE estimators, using informative sampling schemes to generate the samples. Alternative methods, based on modeling the conditional expectation of the design weight as a function of the model covariates and the response, are also included in the simulation study.

Key Words: Augmented model; Empirical best linear unbiased prediction (EBLUP); Nested error model; Pseudo-EBLUP.

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© Minister of Industry, 2015

Catalogue no. 12-001-X

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