Smooth-car mixed models for spatial count data
Dae-Jin Lee and
María Durbán
DES - Working Papers. Statistics and Econometrics. WS from Universidad Carlos III de Madrid. Departamento de EstadÃstica
Abstract:
Penalized 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.
Keywords: Mixed; models; P-splines; Overdispersion; Negative; Binomial; PQL; CAR; models; Scottish; lip; cancer; data (search for similar items in EconPapers)
Date: 2008-11
New Economics Papers: this item is included in nep-ecm, nep-geo and nep-ure
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Persistent link: https://EconPapers.repec.org/RePEc:cte:wsrepe:ws085820
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