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GWmodel (version 2.4-1)

bw.gwda: Bandwidth selection for GW Discriminant Analysis

Description

A function for automatic bandwidth selection for GW Discriminant Analysis using a cross-validation approach only

Usage

bw.gwda(formula, data, COV.gw = T, prior.gw = T, mean.gw = T,
                 prior = NULL, wqda = F, kernel = "bisquare", adaptive
                 = FALSE, p = 2, theta = 0, longlat = F,dMat)

Value

Returns the adaptive or fixed distance bandwidth.

Arguments

formula

Model formula of a formula object

data

a Spatial*DataFrame, i.e. SpatialPointsDataFrame or SpatialPolygonsDataFrame as defined in package sp, or a sf object defined in package sf

COV.gw

if true, localised variance-covariance matrix is used for GW discriminant analysis; otherwise, global variance-covariance matrix is used

mean.gw

if true, localised mean is used for GW discriminant analysis; otherwise, global mean is used

prior.gw

if true, localised prior probability is used for GW discriminant analysis; otherwise, fixed prior probability is used

prior

a vector of given prior probability

wqda

if TRUE, a weighted quadratic discriminant analysis will be applied; otherwise a weighted linear discriminant analysis will be applied

kernel

function chosen as follows:

gaussian: wgt = exp(-.5*(vdist/bw)^2);

exponential: wgt = exp(-vdist/bw);

bisquare: wgt = (1-(vdist/bw)^2)^2 if vdist < bw, wgt=0 otherwise;

tricube: wgt = (1-(vdist/bw)^3)^3 if vdist < bw, wgt=0 otherwise;

boxcar: wgt=1 if dist < bw, wgt=0 otherwise

adaptive

if TRUE calculate an adaptive kernel where the bandwidth (bw) corresponds to the number of nearest neighbours (i.e. adaptive distance); default is FALSE, where a fixed kernel is found (bandwidth is a fixed distance)

p

the power of the Minkowski distance, default is 2, i.e. the Euclidean distance

theta

an angle in radians to rotate the coordinate system, default is 0

longlat

if TRUE, great circle distances will be calculated

dMat

a pre-specified distance matrix, it can be calculated by the function gw.dist

Author

Binbin Lu binbinlu@whu.edu.cn