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\name{columb}\alias{columb}\alias{columb.polys}\docType{data}%- Also NEED an `\alias' for EACH other topic documented here.\title{Reduced version of Columbus OH crime data}\description{By district crime data from Columbus OH, together with polygons describing district shape. Useful forillustrating use of simple Markov Random Field smoothers.}\usage{data(columb)data(columb.polys)}%- maybe also `usage' for other objects documented here.\format{ \code{columb} is a 49 row data frame with the following columns\describe{\item{area}{land area of district}\item{home.value}{housing value in 1000USD.}\item{income}{household income in 1000USD.}\item{crime}{residential burglaries and auto thefts per 1000 households.}\item{open.space}{measure of open space in district.}\item{district}{code identifying district, and matching \code{names(columb.polys)}. }}\code{columb.polys} contains the polygons defining the areas in the format described below.}\details{The data frame \code{columb} relates to the districts whose boundaries are coded in \code{columb.polys}.\code{columb.polys[[i]]} is a 2 column matrix, containing the vertices of the polygons defining the boundary of the ithdistrict. \code{columb.polys[[2]]} has an artificial hole inserted to illustrate how holes in districts can be spefified. Different polygons defining the boundary of a district are separated by NA rows in \code{columb.polys[[1]]},and a polygon enclosed within another is treated as a hole in that region (a hole should never come first).\code{names(columb.polys)} matches \code{columb$district} (order unimportant).}\source{The data are adapted from the \code{columbus} example in the \code{spdep} package, where the original source is given as:Anselin, Luc. 1988. Spatial econometrics: methods and models. Dordrecht: Kluwer Academic, Table 12.1 p. 189.}\examples{## see ?mrf help files}