S-Space College of Education (사범대학) Dept. of Social Studies Education (사회교육과) Geography (지리전공) Journal Papers (저널논문_지리전공)
A generalized randomization approach to local measures of spatial association
- Lee, Sang-Il
- Issue Date
- Blackwell Publishing
- Geographical Analysis 41(2), 221-248
- randomization test; spatial association measures; local indicators of spatial association; Lee's L
- 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.
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