“Geary's C”的意思、由来-开放百科全书

词条

Geary's C

释义

Sources

Geary's C is a measure of spatial autocorrelation or an attempt to determine if adjacent observations of the same phenomenon are correlated. Spatial autocorrelation is more complex than autocorrelation because the correlation is multi-dimensional and bi-directional.

Geary's C is defined as

where is the number of spatial units indexed by and ; is the variable of interest; is the mean of ; is a matrix of spatial weights with zeroes on the diagonal (i.e., ); and is the sum of all .

The value of Geary's C lies between 0 and some unspecified value greater than 1. Values significantly lower than 1 demonstrate increasing positive spatial autocorrelation, whilst values significantly higher than 1 illustrate increasing negative spatial autocorrelation.

Geary's C is inversely related to Moran's I, but it is not identical. Moran's I is a measure of global spatial autocorrelation, while Geary's C is more sensitive to local spatial autocorrelation.

Geary's C is also known as Geary's contiguity ratio or simply Geary's ratio.^[1]

This statistic was developed by Roy C. Geary.^[2]

Sources

1. ^{{cite journal| author = J. N. R. Jeffers | year = 1973| title = A Basic Subroutine for Geary's Contiguity Ratio| publisher = Wiley| journal = Journal of the Royal Statistical Society, Series D| volume = 22| issue = 4}}
2. ^{{Cite journal | doi = 10.2307/2986645 | author = Geary, R. C. | year = 1954 | title = The Contiguity Ratio and Statistical Mapping | publisher = The Incorporated Statistician | volume = 5 | pages = 115–145 | jstor = 2986645 | journal = The Incorporated Statistician | issue = 3}}

2 : Spatial data analysis|Covariance and correlation

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