Adaptive Bandwidth

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel gwr

GWR

I R package : spgwr (dependent packages: sp, maptools)

I data(columbus)

I 5 variables

I crime - recorded crime per inhabitant

I income - average income values

I housing - average housing costs

I x - latitude

I y - longitude

I Relationship between crime and income & housing.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel gwr

GWR

I R package : spgwr (dependent packages: sp, maptools)

I data(columbus)

I 5 variables

I crime - recorded crime per inhabitant

I income - average income values

I housing - average housing costs

I x - latitude

I y - longitude

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel gwr

GWR

I R package : spgwr (dependent packages: sp, maptools)

I data(columbus)

I 5 variables

I crime - recorded crime per inhabitant

I income - average income values

I housing - average housing costs

I x - latitude

I y - longitude

I Relationship between crime and income & housing.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel gwr

GWR

I R package : spgwr (dependent packages: sp, maptools)

I data(columbus)

I 5 variables

I crime - recorded crime per inhabitant

I income - average income values

I housing - average housing costs

I x - latitude

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel

gwr

GWR

I Need to find a bandwidth for a given geographically weighted

regression by optimizing a selected function.

I gwr.sel(formula, data, coords, adapt=FALSE, ...)

I formula, data, coords.

I adapt - either TRUE: find the proportion between 0 and 1 of observations to include in weighting scheme (k-nearest neighbors), or FALSE find global bandwidth.

I Returns the cross-validation bandwidth.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel

gwr

GWR

I Need to find a bandwidth for a given geographically weighted

regression by optimizing a selected function.

I gwr.sel(formula, data, coords, adapt=FALSE, ...)

I formula, data, coords.

I adapt - either TRUE: find the proportion between 0 and 1 of observations to include in weighting scheme (k-nearest neighbors), or FALSE find global bandwidth.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel

gwr

GWR

I Need to find a bandwidth for a given geographically weighted

regression by optimizing a selected function.

I gwr.sel(formula, data, coords, adapt=FALSE, ...)

I formula, data, coords.

I adapt - either TRUE: find the proportion between 0 and 1 of observations to include in weighting scheme (k-nearest neighbors), or FALSE find global bandwidth.

I Returns the cross-validation bandwidth.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel

gwr

GWR

I Need to find a bandwidth for a given geographically weighted

regression by optimizing a selected function.

I gwr.sel(formula, data, coords, adapt=FALSE, ...)

I formula, data, coords.

I adapt - either TRUE: find the proportion between 0 and 1 of observations to include in weighting scheme (k-nearest neighbors), or FALSE find global bandwidth.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

spgwr

gwr.sel

gwr

GWR

I Need to find a bandwidth for a given geographically weighted

regression by optimizing a selected function.

I gwr.sel(formula, data, coords, adapt=FALSE, ...)

I formula, data, coords.

I adapt - either TRUE: find the proportion between 0 and 1 of observations to include in weighting scheme (k-nearest neighbors), or FALSE find global bandwidth.

I Returns the cross-validation bandwidth.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion spgwr gwr.sel gwr

GWR

I Fit GWR model.

I gwr(formula, data, coords, bandwidth, ...)

I formula, data, coords.

I bandwidth - bandwidth used in the weighting function.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion spgwr gwr.sel gwr

GWR

I Fit GWR model.

I gwr(formula, data, coords, bandwidth, ...)

I formula, data, coords.

I bandwidth - bandwidth used in the weighting function.

I An example.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion spgwr gwr.sel gwr

GWR

I Fit GWR model.

I gwr(formula, data, coords, bandwidth, ...)

I formula, data, coords.

I bandwidth - bandwidth used in the weighting function.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion spgwr gwr.sel gwr

GWR

I Fit GWR model.

I gwr(formula, data, coords, bandwidth, ...)

I formula, data, coords.

I bandwidth - bandwidth used in the weighting function.

I An example.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion spgwr gwr.sel gwr

GWR

I Fit GWR model.

I gwr(formula, data, coords, bandwidth, ...)

I formula, data, coords.

I bandwidth - bandwidth used in the weighting function.

Motivation Color Scale Draw Map Assign Colors Results Geographically Weighted Regression Quantile Regression & Geographically Weighted Quantile Regression Discussion

In document Introduction of geospatial data visualization and geographically weighted reg (Page 72-87)