rg.wtdsums function

Calculate Weighted Sums for a Matrix

This function computes a weighted sum for a matrix based on computed quantiles and user defined relative importance.

rg.wtdsums(x, ri, xcentr = NULL, xdisp = NULL)

Arguments

• x: matrix
• ri: vector for the relative importance, length(ri)=length(x[1,])
• xcentr: the provided center
• xdisp: the provided variance

Details

It is not necessary to provide the center and the variance. If those values are not supplied the center is the 50% quantile and the variance is calculated from the 25% and 75% quantile.

Returns

• input: input parameter

• centr: the center

• disp: the variance

• ri: relative importance

• w: weights

• a: normalized weights

• ws: normalized weights times standardized x

References

C. Reimann, P. Filzmoser, R.G. Garrett, and R. Dutter: Statistical Data Analysis Explained. Applied Environmental Statistics with R. John Wiley and Sons, Chichester, 2008.

Author(s)

Peter Filzmoser <P.Filzmoser@tuwien.ac.at > http://cstat.tuwien.ac.at/filz/

Examples

data(chorizon)
var=c("Si_XRF","Al_XRF","K_XRF","LOI","P","Mn")
ri=c(-2.0,1.5,2.0,2.0,3.0,2.0)
x=chorizon[,var]
rg.wtdsums(x,ri)