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Measuring the spatial balance of a sample: A new measure based on the Moran's I index

Yves Tillé, Maria Michela Dickson, Giuseppe Espa & Diego Giuliani

Résumé Measuring the degree of spatial spreading of a sample can be of great interest when sampling from a spatial population. The commonly used spatial balance index by Grafström et al. (2012) is particularly effective in comparing the level of spatial spreading of different samples from the same population. However, its unbounded and uninterpretable scale of measurement does not allow to assess the level of spatial spreading in absolute terms and confines its use to only raw comparisons. In this paper, we introduce a new absolute measure of the spatial spreading of a sample using a normalized version of Moran’s I index. The properties
and behaviour of the proposed measure are analysed through two simulation experiments, one based on three artificial populations and the other on a population of real business units located in the province of Siena (Italy).
   
Mots-clés Spatial sampling, Spatial balance, Moran’s I index, Statistical measure
   
Citation Tillé, Y., Dickson, M. M., Espa, G., & Giuliani, D. (2018). Measuring the spatial balance of a sample: A new measure based on the Moran's I index. Spatial Statistics, 23, 182-192.
   
Type Article de périodique (Anglais)
Date de publication 20-2-2018
Nom du périodique Spatial Statistics
Volume 23
Pages 182-192
URL https://www.sciencedirect.com/science/article/pii/S221167...