ade4 (version 1.7-19)

multispati.rtest: Multivariate spatial autocorrelation test

Description

This function performs a multivariate autocorrelation test.

Usage

multispati.rtest(dudi, listw, nrepet = 99, ...)

Value

Returns an object of class randtest (randomization tests).

Arguments

dudi

an object of class dudi for the duality diagram analysis

listw

an object of class listw for the spatial dependence of data observations

nrepet

the number of permutations

...

further arguments passed to or from other methods

Author

Daniel Chessel
Sébastien Ollier

Details

We note X the data frame with the variables, Q the column weight matrix and D the row weight matrix associated to the duality diagram dudi. We note L the neighbouring weights matrix associated to listw. This function performs a Monte-Carlo Test on the multivariate spatial autocorrelation index : $$r = \frac{X^{t}DLXQ}{X^{t}DXQ}$$

References

Smouse, P. E. and Peakall, R. (1999) Spatial autocorrelation analysis of individual multiallele and multilocus genetic structure. Heredity, 82, 561--573.

See Also

dudi,mat2listw

Examples

if (requireNamespace("spdep", quietly = TRUE)) {
    data(mafragh)
    maf.listw <- spdep::nb2listw(neig2nb(mafragh$neig))
    maf.pca <- dudi.pca(mafragh$env, scannf = FALSE)
    multispati.rtest(maf.pca, maf.listw)
    maf.pca.ms <- multispati(maf.pca, maf.listw, scannf = FALSE)
    plot(maf.pca.ms)
}