Small area estimation for spatially correlated populations - a comparison of direct and indirect model-based methods


Chandra, Hukum, Salvati, Nicola and Chambers, Ray (2007) Small area estimation for spatially correlated populations - a comparison of direct and indirect model-based methods. Southampton, GB, University of Southampton, 25pp. (S3RI Methodology Working Papers, M07/09).

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Description/Abstract

Linear mixed models underpin many small area estimation (SAE) methods. In this paper we investigate SAE based on linear models with spatially correlated small area effects where the neighbourhood structure is described by a contiguity matrix. Such models allow efficient use of spatial auxiliary information in SAE. In particular, we use simulation studies to compare the performances of model-based direct estimation (MBDE) and empirical best linear unbiased prediction (EBLUP) under such models. These simulations are based on theoretically generated populations as well as data obtained from two real populations (the ISTAT farm structure survey in Tuscany and the US Environmental Monitoring and Assessment Program survey). Our empirical results show only marginal gains when spatial dependence between areas is incorporated into the SAE model.

Item Type: Monograph (Working Paper)
Subjects: H Social Sciences > HA Statistics
Divisions: University Structure - Pre August 2011 > Southampton Statistical Sciences Research Institute
ePrint ID: 45874
Date Deposited: 19 Apr 2007
Last Modified: 27 Mar 2014 18:30
URI: http://eprints.soton.ac.uk/id/eprint/45874

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