JSM 2011 Online Program

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Abstract Details

Activity Number: 16
Type: Topic Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and the Environment
Abstract - #301222
Title: Interpolation of Data Collected in Polygons
Author(s): Konstantin Krivoruchko*+ and Alexander Alexander Gribov and Eric Krause
Companies: Environmental System Research Institute and Environmental System Research Institute and Environmental System Research Institute
Address: 380 New York St, Redlands, CA, 92373, USA
Keywords: interpolation ; counts ; binomial ; overdispersed Poisson
Abstract:

Poisson kriging of count data collected in points and polygons was recently discussed in geostatistical literature. To account for overdispersion in the Poisson process, we extend this model to the negative binomial distribution, and we allow for interpolation of binomial counts collected in polygons. We describe a multivariate version of areal interpolation where the secondary cokriging variable can be binomial, negative binomial, or Gaussian. Additionally, for binomial data, the density of the target population can be used as additional information. For all data types, we describe optimization options, model fitting, and model diagnostics. We demonstrate the model usage with examples of interpolation of epidemiological, crime, and environmental data, including prediction to different sets of polygons. Focus is given to interpreting the overdispersion parameter, particularly how it rela


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