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Measuring the degree of spatial spreading of a sample can be of greatinterest when sampling from a spatial population. The commonly used spatialbalance index by Grafstr\"om et al. (2012) is particularly effective incomparing the level of spatial spreading of different samples from the samepopulation. However, its unbounded and uninterpretable scale of measurementdoes not allow to assess the level of spatial spreading in absolute terms andconfines its use to only raw comparisons. In this paper, we introduce a newabsolute measure of the spatial spreading of a sample using a normalizedversion of the Moran's $I$ index. The properties and behaviour of the proposedmeasure are analysed through two simulation experiments, one based onartificial populations and the other on a population of real business unitslocated in the province of Siena (Italy).

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