OSU_Overview_SA_Stats - Geography 683 Introduction to...

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Unformatted text preview: Geography 683 Introduction to Geographic Analysis Spatial Autocorrelation Guoxiang Ding Department of Geography 1155 Derby Hall Phone: 292-2704 Email: ding.45@osu.edu Spatial Autocorrelation First law of geography: everything is related to everything else, but near things are more related than distant things Waldo Tobler Spatial AutocorrelationCorrelation of a variable with itself through space Positive spatial autocorrelation is exhibited when neighboring areas are similar or the same. Why Spatial Autocorrelation is important? Most statistics are based on the assumption that the values of observations in each sample are independent of one another Positive spatial autocorrelation may violate this, if the samples were taken from nearby areas Goals of spatial autocorrelation Measure the strength of spatial autocorrelation in a map test the assumption of independence or randomness Indices of Spatial Autocorrelation Join Count Analysis Morans I Gearys C Join Count Nominal variables mapped in two colors (B & W). Therefore, the join , or border can be classified as WW, BB, BW Different Join Patterns Rooks Case (<5,2><5,6><5,8><5,4>) Queens Case( four more <5,1><5,3><5,9><5,7>) 9 8 7 6 5 4 3 2 1 9 8 7 6 5 4 3 2 1 24 4 10 10 C 24 12 7 5 B 24 24 A A WW BW Total .....
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This note was uploaded on 02/15/2012 for the course GEO 6938 taught by Professor Staff during the Summer '08 term at University of Florida.

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OSU_Overview_SA_Stats - Geography 683 Introduction to...

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