Browse > Article
http://dx.doi.org/10.7465/jkdi.2015.26.1.101

Small area estimations for disease mapping by using spatial model  

An, Daeseong (Department of Statistics, Pukyong National University)
Han, Junhee (Research and Statistical Support, Pusan National University Yangsan Hospital)
Yoon, Taeho (Department of Occupational and Preventive Medicine, Pusan National University School of Medicine)
Kim, Changhoon (Department of Occupational and Preventive Medicine, Pusan National University School of Medicine)
Noh, Maengseok (Department of Statistics, Pukyong National University)
Publication Information
Journal of the Korean Data and Information Science Society / v.26, no.1, 2015 , pp. 101-109 More about this Journal
Abstract
SMRs (standardized mortality rates) for major diseases, accidents, cancer are considered in small areas of administrative units such as Eup/Myeon/Dong from years 2005 to 2008. Due to small sample issue in small areas, the precision of directly estimated crude SMR for each area can be low. In this study, we consider the HGLM (hierarchical generalized linear model) with MRF (Markov random field) to account for the spatial correlations among the small areas. The effects of covariates for cause of mortality by Dongs in Seoul and disease maps based on the estimated SMR are presented. The results suggest how we analyze and interpret the difference in mortalities by small areas such as Dongs by revealing the spatial patterns.
Keywords
Disease mapping; hierarchical generalized linear model; small area estimation; spatially correlated model;
Citations & Related Records
Times Cited By KSCI : 4  (Citation Analysis)
연도 인용수 순위
1 Banerjee, S., Carlin, B. P. and Gelfand, A. E. (2004). Hierarchical modelling and analysis for spatial data, Chapman and Hall, London.
2 Besag, J. E., York, J. and Molli, A. (1991). Bayesian image restoration, with two applications in spatial statistics. Annals of Institute of Statistical Mathematics, 43, 1-59.   DOI
3 Clayton, D. and Kaldor, J. (1987). Empirical Bayes estimates of age-standardized relative risk for use in disease mapping. Biometrics, 43, 671-681.   DOI   ScienceOn
4 Choi, M. H., Cheong, K. S. and Cho, B. M. (2011). Deprivation and mortality at the town level in Busan: An ecological study. Journal of the Preventive Medicine and Public Health, 44, 242-8.   DOI   ScienceOn
5 Ghosh, M., Natarajan, K., Stroud, T. W. F. and Carlin, B. P. (1998). Genearlized linear models for small-area estimation. Journal of the American Statistical Association, 93, 273-282.   DOI   ScienceOn
6 Kim, Y. H. and Kim, K. S. (2009). Small area estimation of the insurance benefit for customer segmentations. Journal of the Korean Data & Information Science Society, 20, 77-87.   과학기술학회마을
7 Kim, K. H., Noh, M. and Ha, I. D. (2011). A study using HGLM on regional difference of the dead due to injuries. Journal of the Korean Data & Information Science Soceity, 22, 137-148.   과학기술학회마을
8 Kim, Y. W. and Sung, N. Y. (2000). Application of in-direct estimation for small area statistics. Journal of the Korean Data & Information Science Society, 11, 111-126.   과학기술학회마을
9 Lee, Y. and Nelder, J. A. (1996). Hierarchical generalized linear models (with discussion). Journal of the Royal Statistical B, 58, 619-678.
10 Lee, Y. and Ha, I. D. (2010). Orthodox BLUP versus h-likelihood methods for inferences about random effects in tweedie mixed models. Statistics and Computing, 20, 295-303.   DOI
11 Lee, Y. and Nelder, J. A. (2001). Hierarchical generalized linear models: A synthesis of generalized linear models, random-effect models and structured dispersions. Biometrika, 88, 987-1006.   DOI   ScienceOn
12 Lee, Y., Nelder, J. A and Pawitan (2006). Generalized linear models with random effects: Unified analysis via h-likelihood, Chapman and Hall, London.
13 Noh, M. and Lee, Y. (2011). dhglm: Double hierarchical generalized linear models. R package version 1.0, http://CRAN.R-project.org/pkackage=dhglm.
14 Park, J. T. and Lee, S. E. (2001). A comparative study of small area estimation methods. Journal of the Korea Data & Information Science Society, 12, 47-55.   과학기술학회마을
15 Rao, J. N. K. (2003). Small area estimation, Wiley, New York.
16 Rousset, F. (2014). spaMM: Mixed models, particularly spatial GLMMs. R package version 1.1, http://CRAN.R-project.org/pkackage=spaMM.
17 Townsend, P. (1987). Deprivation. Journal Social Policy, 16, 125-146.   DOI
18 Yoon, T. H. (2003). The relationship between social class distribution and mortality. Korean Journal of Health Policy & Administration, 13, 99-114.   과학기술학회마을   DOI   ScienceOn