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A generalized randomization approach to local measures of spatial association

Cited 8 time in Web of Science Cited 7 time in Scopus
Authors
Lee, Sang-Il
Issue Date
2009-04
Publisher
Blackwell Publishing
Citation
Geographical Analysis 41(2), 221-248
Keywords
randomization testspatial association measureslocal indicators of spatial associationLee's L
Abstract
This article establishes a unified randomization significance testing framework upon which various local measures of spatial association are commonly predicated. The generalized randomization approach presented is composed of two testing procedures, the extended Mantel test and the generalized vector randomization test. These two procedures employ different randomization assumptions, namely total and conditional randomization, according to the way in which they incorporate local measures. By properly specifying necessary matrices and vectors for a particular local measure of spatial association under a particular randomization assumption, the generalized randomization approach as a whole yields a reliable set of equations for expected values and variances, which then is confirmed by a Monte Carlo simulation utilizing random permutations.
ISSN
0016-7363
Language
English
URI
http://hdl.handle.net/10371/4811
DOI
https://doi.org/10.1111/j.1538-4632.2009.00749.x

https://doi.org/10.1111/j.1538-4632.2009.00749.x
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Appears in Collections:
College of Education (사범대학)Dept. of Social Studies Education (사회교육과)Geography (지리전공)Journal Papers (저널논문_지리전공)
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