R: Calculates Generalized Distance Measure

dist.GDM {clusterSim} | R Documentation

## Calculates Generalized Distance Measure

### Description

Calculates Generalized Distance Measure for variables measured on metric scale (ratio & interval) or ordinal scale

### Usage

    dist.GDM(x, method="GDM1", weightsType="equal", weights=NULL)
    GDM(x, method="GDM1", weightsType="equal", weights=NULL)
    GDM1(x, weightsType="equal", weights=NULL)
    GDM2(x, weightsType="equal", weights=NULL)

### Arguments

`x` | matrix or data set
`method` | GDM1 or GDM2

"GDM1" - metric scale (ratio & interval)

"GDM2" - ordinal scale

`weightsType` | equal or different1 or different2

"equal" - equal weights

"different1" - vector of different weights should satisfy conditions: each weight takes value from interval [0; 1] and sum of weights equals one

"different2" - vector of different weights should satisfy conditions: each weight takes value from interval [0; m] and sum of weights equals m (m - the number of variables)

`weights` | vector of weights

### Details

See file \$R\_HOME\library\clusterSim\pdf\distGDM\_details.pdf for further details

### Value

object with calculated distance

### Author(s)

Marek Walesiak marek.walesiak@ue.wroc.pl, Andrzej Dudek andrzej.dudek@ue.wroc.pl

Department of Econometrics and Computer Science, University of Economics, Wroclaw, Poland http://keii.ue.wroc.pl/clusterSim/

### References

Jajuga, K., Walesiak, M., Bak, A. (2003), On the general distance measure, In: M. Schwaiger, O. Opitz (Eds.), Exploratory data analysis in empirical research, Springer-Verlag, Berlin, Heidelberg, 104-109. Available at: doi: 10.1007/978-3-642-55721-7_12.

Walesiak, M. (1999), Distance Measure for Ordinal Data, "Argumenta Oeconomica", No. 2 (8), 167-173. Available at: http://keii.ue.wroc.pl/pracownicy/mw/1999_Walesiak_Argumenta_Oeconomica_no_2.pdf.

Walesiak, M. (2006), Uogolniona miara odleglosci w statystycznej analizie wielowymiarowej [The Generalized Distance Measure in multivariate statistical analysis], Wydawnictwo AE, Wroclaw. Available at: http://keii.ue.wroc.pl/pracownicy/mw/2006_Walesiak_Uogolniona_miara_odleglosci.pdf.

### See Also

`dist.BC`, `dist.SM`, `dist`

### Examples

    #Example 1
    library(clusterSim)
    data(data_ratio)
    d1 <- GDM(data_ratio, method="GDM1")
    data(data_ordinal)
    d2 <- GDM(data_ordinal, method="GDM2")
    d3 <- GDM1(data_ratio)
    d4 <- GDM2(data_ordinal)

    #Example 2
    library(clusterSim)
    data(data_ratio)
    d1w <- GDM(data_ratio, method="GDM1", weightsType="different1",
    weights=c(0.4,0.1,0.3,0.15,0.05))
    data(data_ordinal)
    d2w <- GDM(data_ordinal, method="GDM2", weightsType="different2",
    weights=c(1,3,0.5,1.5,1.8,0.2,0.4,0.6,0.2,0.4,0.9,1.5))

[Package clusterSim version 0.49-2 Index]