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The Detection of Clusters Using a Spatial Version of the Chi‐Square Goodness‐of‐Fit Statistic
Author(s) -
Rogerson Peter A.
Publication year - 1999
Publication title -
geographical analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.773
H-Index - 65
eISSN - 1538-4632
pISSN - 0016-7363
DOI - 10.1111/gean.1999.31.1.130
Subject(s) - statistic , goodness of fit , chi square test , pearson's chi squared test , statistics , ancillary statistic , test statistic , null distribution , null hypothesis , mathematics , press statistic , cluster analysis , scan statistic , f test , statistical hypothesis testing , square (algebra) , geometry
A test statistic for the detection of spatial clusters is developed by generalizing the common chi‐square goodness‐of‐fit test. The paper includes a discussion of the relationship between the statistic and other associated statistics, and provides an analysis of both its null distribution and power. The paper concludes with the development of a local version of the statistic and an application to leukemia clustering in central New York.