Local Spatial Autocorrelation Statistics: Distributional Issues and an Application
1995/10/01 by J. K. Ord, J. Keith Ord, Arthur Getis · 3,654 citations
Economics, Econometrics and Finance · Mathematics · Medicine · #Autocorrelation #Bonferroni correction #Data set #Data-Driven Disease Surveillance #Econometrics #Economic and Environmental Valuation #Geography #Mathematics #Spatial analysis #Spatial and Panel Data Analysis #Statistic #Statistics #Summary statistics
paper · pdf · doi:10.1111/j.1538-4632.1995.tb00912.x
published in Geographical Analysis 27(4), 286-306 (Wiley)
openalex publication_date 1995/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Abstract
The statistics G i (d) and G i *(d), introduced in Getis and Ord (1992) for the study of local pattern in spatial data, are extended and their properties further explored. In particular, nonbinary weights are allowed and the statistics are related to Moran's autocorrelation statistic, I. The correlations between nearby values of the statistics are derived and verified by simulation. A Bonferroni criterion is used to approximate significance levels when testing extreme values from the set of statistics. An example of the use of the statistics is given using spatial‐temporal data on the AIDS epidemic centering on San Francisco. Results indicate that in recent years the disease is intensifying in the counties surrounding the city .
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