论文信息 - The Detection of Clusters Using a Spatial Version of the Chi‐Square Goodness‐of‐Fit Statistic

The Detection of Clusters Using a Spatial Version of the Chi‐Square Goodness‐of‐Fit Statistic

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.

Peter A. Rogerson | P. Rogerson

[1] P. Rogerson. A Spatial Version of the Chi-Square Goodness-of-fit Test and its Application to Tests for Spatial Clustering , 1998 .

[2] John O'Loughlin,et al. Bringing geography back to the study of international relations: Spatial dependence and regional context in Africa, 1966–1978 , 1991 .

[3] K. Koehler,et al. An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials , 1980 .

[4] N. Oden,et al. Adjusting Moran's I for population density. , 1995, Statistics in medicine.

[5] T Tango,et al. A class of tests for detecting 'general' and 'focused' clustering of rare diseases. , 1995, Statistics in medicine.

[6] A. Lawson. On the analysis of mortality events associated with a prespecified fixed point. , 1993, Journal of the Royal Statistical Society. Series A,.

[7] Andrea Cerioli,et al. MODIFIED TESTS OF INDEPENDENCE IN 2 X 2 TABLES WITH SPATIAL DATA , 1997 .

[8] Julian Besag,et al. The Detection of Clusters in Rare Diseases , 1991 .

[9] R. A. Stone. Investigations of excess environmental risks around putative sources: statistical problems and a proposed test. , 1988, Statistics in medicine.

[10] B. Fingleton,et al. Independence, Stationarity, Categorical Spatial Data and the Chi-Squared Test , 1983 .