Analysis of Violent Crime Count Data Based on Bivariate Conditional Auto-Regressive Model Choi, Jung-Soon; Park, Man-Sik; Won, Yu-Bok; Kim, Hag-Yeol; Heo, Tae-Young;
In this study, we considered bivariate conditional auto-regressive model taking into account spatial association as well as correlation between the two dependent variables, which are the counts of murder and burglary. We conducted likelihood ratio test for checking over-dispersion issues prior to applying spatial poisson models. For the real application, we used the annual counts of violent crimes at 25 districts of Seoul in 2007. The statistical results are visually illustrated by geographical information system.
이성우 (2004). 서울시 범죄발생의 도시계획적 함의, <서울시정개발연구원 2004-PR-13>.
이성우, 조중구 (2006). 공간적, 환경적 요인이 범죄피해에 미치는 영향, <서울도시연구>, 7, 57-76.
Banerjee, S., Carlin, B. P. and Gelfand, A. E. (2004). Hierarchical Modeling and Analysis for Spatial Data, Chapman & Hall, New York.
Choi, J., Fuentes, M. and Reich, B. J. (2009). Spatial-temporal association between fine particulate matter and daily mortality, Computational Statistics and Data Analysis, 53, 2989-3000.
Famoye, F. (1993). Restricted generalized Poisson regression model, Communication in Statistics-Theory and Methods, 22, 1335-1354.
Gelfand, A. and Vounatsou, P. (2003). Proper multivariate conditional autoregressive models for spatial data analysis, Biostatistics, 4, 11-25.
Heo, T-Y. and Hughes-Oliver, J. (2009). Uncertainty adjustments to determine atmospheric dispersion models, International Journal of Environmental Pollution, In press.
Jin, X., Carlin, B. P. and Banerjee, S. (2005). Generalized hierarchical multivariate CAR models for areal data, Biometrics, 61, 950-961.
Kelsall, J. E. and Wakefield, J. C. (1999). Discussion of “Bayesian models for spatially correlated disease and exposure data”, In Bayesian Statistics 6, eds. Bernardo, J. M., Berger, J. O., Dawid, A. P., and Smith, A. F. M. Oxford University Press, Oxford.
Spiegelhalter, D. J., Best, N. G., Carlin, B. P. and Van der Linde A. (2002). Bayesian measures of model complexity and fit, Journal of the Royal Statistical Society, Series B, 64, 583-639.
Stern, H. S. and Cressie, N. (2000). Posterior predictive model checks for disease mapping models, Statistics in Medicine, 19, 2377–2397.