# deletedResid: Deleted residuls for non-parametric regression. In latticeDensity: Density Estimation and Nonparametric Regression on Irregular Regions

## Description

Computes deleted residuals for the lattice-based non-parametric regression estimator.

## Usage

 `1` ```deletedResid(formLatticeOutput, Z, PointPattern, M = 0.5, k) ```

## Arguments

 `formLatticeOutput` An object from formLattice or editLattice. `Z` Vector of response values. `PointPattern` 2-column matrix or data frame of locations. `M` Maximum probability that the random walk moves. `k` Number of steps in random walk.

## Value

A vector of deleted residuals.

Ronald P. Barry

## References

Ronald P. Barry, Julie McIntyre. Estimating animal densities and home range in regions with irregular boundaries and holes: A lattice-based alternative to the kernel density estimator. Ecological Modelling 222 (2011) 1666-1672.

Julie McIntyre, Ronald P. Barry (2018) A Lattice-Based Smoother for Regions with Irregular Boundaries and Holes. Journal of Computational and Graphical Statistics. <doi:10.1080/10618600.2017.1375935>

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24``` ```data(nparExample) attach(nparExample) plot.new() # Simulate a response variable index1 <- (grid2[,2]<0.8)|(grid2[,1]>0.6) Z <- rep(NA,length(grid2[,1])) n1 <- sum(index1) n2 <- sum(!index1) Z[index1] <- 3*grid2[index1,1] + 4 + rnorm(n1,0,sd=0.4) Z[!index1] <- -2*grid2[!index1,1] + 4 + rnorm(n2,0,sd=0.4) # plot(polygon2,type="n") polygon(polygon2) points(grid2,pch=19,cex=0.5,xlim=c(-0.1,1)) text(grid2,labels=round(Z,1),pos=4,cex=0.5) # nodeFillingOutput <- nodeFilling(poly=polygon2, node_spacing=0.025) plot(nodeFillingOutput) formLatticeOutput <- formLattice(nodeFillingOutput) plot(formLatticeOutput) hold <- crossvalNparReg(formLatticeOutput,Z, PointPattern=grid2,M=0.5,max_steps = 40) deletedResid(formLatticeOutput,Z, PointPattern=grid2,M=0.5,k=hold\$k) ```

latticeDensity documentation built on April 18, 2021, 5:06 p.m.