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Small area estimation under a two-part random effects model with application to estimation of literacy in developing countries

Record type: Article

This paper considers situations where the target response value is either zero or an observation from a continuous
distribution. A typical example analyzed in the paper is the assessment of literacy proficiency with the possible outcome being either zero, indicating illiteracy, or a positive score measuring the level of literacy. Our interest is in how to obtain valid estimates of the average response, or the proportion of positive responses in small areas, for which only small samples or no samples are available.

As in other small area estimation problems, the small sample sizes in at least some of the sampled areas and/or the existence of nonsampled areas requires the use of model based methods. Available methods, however, are not suitable for this kind of data because of the mixed distribution of the responses, having a large peak at zero,juxtaposed to a continuous distribution for the rest of the responses. We develop, therefore, a suitable two-part random effects model and show how to fit the model and assess its goodness of fit, and how to compute the small area estimators of interest and measure their precision.

The proposed method is illustrated using simulated data and data obtained from a literacy survey conducted in Cambodia.

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Citation

Pfeffermann, Danny, Terryn, Benedicte and Moura, Fernando A.S. (2008) Small area estimation under a two-part random effects model with application to estimation of literacy in developing countries Survey Methodology, 34, (2), pp. 235-249.

More information

Published date: December 2008
Keywords: credibility intervals, generalized linear mixed model, goodness of fit, linear mixed model, MCMC, prediction bias, prediction MSE

Identifiers

Local EPrints ID: 153903
URI: http://eprints.soton.ac.uk/id/eprint/153903
ISSN: 0714-0045
PURE UUID: eed74eb9-782c-40cf-9d95-2956db1a7c1e

Catalogue record

Date deposited: 21 May 2010 15:05
Last modified: 18 Jul 2017 12:47

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Contributors

Author: Benedicte Terryn
Author: Fernando A.S. Moura

University divisions


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