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New Tests of Spatial Segregation Based on Nearest Neighbour Contingency Tables

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  • ELVAN CEYHAN

Abstract

. The spatial clustering of points from two or more classes (or species) has important implications in many fields and may cause segregation or association, which are two major types of spatial patterns between the classes. These patterns can be studied using a nearest neighbour contingency table (NNCT) which is constructed using the frequencies of nearest neighbour types. Three new multivariate clustering tests are proposed based on NNCTs using the appropriate sampling distribution of the cell counts in a NNCT. The null patterns considered are random labelling (RL) and complete spatial randomness (CSR) of points from two or more classes. The finite sample performance of these tests are compared with other tests in terms of empirical size and power. It is demonstrated that the newly proposed NNCT tests perform relatively well compared with their competitors and the tests are illustrated using two example data sets.

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  • Elvan Ceyhan, 2010. "New Tests of Spatial Segregation Based on Nearest Neighbour Contingency Tables," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 37(1), pages 147-165, March.
    • Handle: RePEc:bla:scjsta:v:37:y:2010:i:1:p:147-165
    DOI: 10.1111/j.1467-9469.2009.00667.x
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    1. Kulldorff, Martin, 2006. "Tests of Spatial Randomness Adjusted for an Inhomogeneity: A General Framework," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1289-1305, September.
    2. Elvan Ceyhan, 2009. "Class‐specific tests of spatial segregation based on nearest neighbor contingency tables," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 63(2), pages 149-182, May.
    3. M. N. M. Van Lieshout & A. J. Baddeley, 1999. "Indices of Dependence Between Types in Multivariate Point Patterns," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 26(4), pages 511-532, December.
    4. A. J. Baddeley & J. Møller & R. Waagepetersen, 2000. "Non‐ and semi‐parametric estimation of interaction in inhomogeneous point patterns," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 54(3), pages 329-350, November.
    5. Ceyhan, Elvan, 2009. "Overall and pairwise segregation tests based on nearest neighbor contingency tables," Computational Statistics & Data Analysis, Elsevier, vol. 53(8), pages 2786-2808, June.
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    Cited by:

    1. Mousaei Sanjerehei, Mohammad, 2011. "Determination of an appropriate quadrat size and shape for detecting association between plant species," Ecological Modelling, Elsevier, vol. 222(10), pages 1790-1792.

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