On the performance of small-area estimators: fixed vs. random area parameters

Alex Costa, Albert Satorra () and Eva Ventura ()
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Albert Satorra: http://www.econ.upf.edu/en/people/onefaculty.php?id=p174

Economics Working Papers from Department of Economics and Business, Universitat Pompeu Fabra

Abstract: Most methods for small-area estimation are based on composite estimators derived from design- or model-based methods. A composite estimator is a linear combination of a direct and an indirect estimator with weights that usually depend on unknown parameters which need to be estimated. Although model-based small-area estimators are usually based on random-effects models, the assumption of fixed effects is at face value more appropriate.Model-based estimators are justified by the assumption of random (interchangeable) area effects; in practice, however, areas are not interchangeable. In the present paper we empirically assess the quality of several small-area estimators in the setting in which the area effects are treated as fixed. We consider two settings: one that draws samples from a theoretical population, and another that draws samples from an empirical population of a labor force register maintained by the National Institute of Social Security (NISS) of Catalonia. We distinguish two types of composite estimators: a) those that use weights that involve area specific estimates of bias and variance; and, b) those that use weights that involve a common variance and a common squared bias estimate for all the areas. We assess their precision and discuss alternatives to optimizing composite estimation in applications.

Keywords: Small area estimation; composite estimator; Monte Carlo study; random effect model; BLUP; empirical BLUP (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm
Date: Written 2008-02

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