Smooth-car mixed models for spatial count data
AbstractPenalized splines (P-splines) and individual random effects are used for the analysis of spatial count data. P-splines are represented as mixed models to give a unified approach to the model estimation procedure. First, a model where the spatial variation is modelled by a two-dimensional P-spline at the centroids of the areas or regions is considered. In addition, individual area-effects are incorporated as random effects to account for individual variation among regions. Finally, the model is extended by considering a conditional autoregressive (CAR) structure for the random effects, these are the so called “Smooth-CAR” models, with the aim of separating the large-scale geographical trend, and local spatial correlation. The methodology proposed is applied to the analysis of lip cancer incidence rates in Scotland.
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Bibliographic InfoPaper provided by Universidad Carlos III, Departamento de Estadística y Econometría in its series Statistics and Econometrics Working Papers with number ws085820.
Date of creation: Nov 2008
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Mixed models; P-splines; Overdispersion; Negative Binomial; PQL; CAR models; Scottish lip cancer data;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-12-14 (All new papers)
- NEP-ECM-2008-12-14 (Econometrics)
- NEP-GEO-2008-12-14 (Economic Geography)
- NEP-URE-2008-12-14 (Urban & Real Estate Economics)
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