Testing for similarity in area‐based spatial patterns: Alternative methods to Andresen's spatial point pattern test |
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| Authors: | Andrew Palmer Wheeler Wouter Steenbeek Martin A Andresen |
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| Institution: | 1. School of Economic, Political & Policy Sciences, Program in Criminology, University of Texas at Dallas, Richardson, Texas;2. Nederlands Studiecentrum Criminaliteit en Rechtshandhaving, Amsterdam, Netherlands;3. School of Criminology and Institute for Canadian Urban Research Studies, Simon Fraser University, Burnaby, British Columbia, Canada |
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| Abstract: | Andresen's spatial point pattern test (SPPT) compares two spatial point patterns on defined areal units; it identifies areas where the spatial point patterns diverge and aggregates these local (dis)similarities to one global measure. We discuss the limitations of the SPPT and provide two alternative methods to calculate differences in the point patterns. In the first approach we use differences in proportions tests corrected for multiple comparisons. We show how the size of differences matters, as with large point patterns many areas will be identified by SPPT as statistically different, even if those differences are substantively trivial. The second approach uses multinomial logistic regression, which can be extended to identify differences in proportions over continuous time. We demonstrate these methods by identifying areas where pedestrian stops by the New York City Police Department are different from violent crimes for 2006–2016. |
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