Generalised spatial autocorrelation coefficients

• Authors: Janusz L. Wywiał

Abstracts

EN

The article focuses on properties generalised to the multidimensional case of known coefficients of spatial correlation. The main result of the work is the decomposition of the introduced generalised autocorrelation coefficients into the sum of ordinary autocorrelation coefficients, but calculated on the basis of the principal components of the originally observed multidimensional variable. The development is illustrated with an empirical example. The coefficients provide a more detailed description of the spatial relationships of a set of variables defined in a population.

Keywords

EN

Moran coefficient; Geary coefficient; spatial autocorrelation; Mahalanobis distance; principal components

• Publisher: Główny Urząd Statystyczny
• Journal: Statistics in Transition new series
• Year: 2025
• Volume: 26
• Issue: 1
• Pages: 1-8

Dates

published

2025

Contributors

author

Janusz L. Wywiał

• University of Economics in Katowice, Econometrics and Mathematics, Deaprtment of Statistics

• https://orcid.org/0000000233921688

References

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Identifiers

DOI

10.59139/stattrans-2025-001

Biblioteka Nauki

59315514