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http://dx.doi.org/10.5351/KJAS.2009.22.1.153

Estimation of Small Area Proportions Based on Logistic Mixed Model  

Jeong, Kwang-Mo (Dept. of Statistics, Pusan National University)
Son, Jung-Hyun (Consulting Division, ECMINER Co.)
Publication Information
The Korean Journal of Applied Statistics / v.22, no.1, 2009 , pp. 153-161 More about this Journal
Abstract
We consider a logistic model with random effects as the superpopulation for estimating the small area pro-portions. The best linear unbiased predictor under linear mired model is popular in small area estimation. We use this type of estimator under logistic mixed motel for the small area proportions, on which the estimation of mean squared error is also discussed. Two kinds of estimation methods, the parametric bootstrap and the linear approximation will be compared through a Monte Carlo study in the respects of the normality assumption on the random effects distribution and also the magnitude of sample sizes on the approximation.
Keywords
Best linear unbiased predictor; small area; logistic mixed model; mean squared error; parametric bootstrap;
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1 Gonzalez-Manteiga, W., Lombardia, M., Molina, I., Morales, D. and Santamaria, L. (2007). Estimation of the mean squared error of predictors of small area linear parameters under a logistic mixed model, Computational Statistics & Data Analysis, 51, 2720-2733   DOI   ScienceOn
2 Hall, P. and Maiti, T. (2006). On parametric bootstrap methods for small area prediction, Journal of the Royal Statistical Society, Series B, 68, 221-238   DOI   ScienceOn
3 Henderson, C. R. (1975). Best linear unbiased estimation and prediction under a selection model, Biometrics, 31,423-447   DOI   ScienceOn
4 Kackar, R. and Harville, D. A. (1984). Approximations for standard errors of estimators of fixed and random effects in mixed linear models, Journal of the American Statistical Association, 79, 853-862   DOI   ScienceOn
5 Lahiri, P. (2003). On the impact of bootstrap in survey sampling and small-area estimation, Statistical Science, 18, 199-210   DOI   ScienceOn
6 Lohr, S, L. and Prasad, N. G. N. (2003). Small area estimation with auxiliary survey data, The Canadian Journal of Statistics, 31, 383-396   DOI   ScienceOn
7 Prasad, N. G. N. and Rao, J. N. K. (1990). The estimation of the mean squared error of small-area estimators, Journal of the American Statistical Association, 85, 163-171   DOI   ScienceOn
8 Agresti, A. (2007). An Introduction to Categorical Data Analysis, 2nd Ed., John Wiley & Sons, New York
9 Ghosh, M. and Rao, J. N. K. (1994). Small area estimation: An appraisal, Statistical Science, 9, 55-93   DOI   ScienceOn
10 Rao, J. N. K. (2003). Practical issues in model-based small area estimation, In Proceedings of Statistics Canada International Symposium 2003