Testing for first-order homogeneity in spatial point patterns
Authors
Christine Kraamwinkel*
Department of Statistics, University of Pretoria
Inger Fabris-Rotelli
Department of Statistics, University of Pretoria
Abstract
Currently the method of kernel smoothing is used to construct density plots which can be used to visually and subjectively infer on first-order homogeneity. We propose the use of hypothesis tests, developed for the comparison of $K$ Poisson intensities from independent samples, in the spatial setting as a more rigorous statistical approach to testing for first-order homogeneity. Our application considers the household locations in 78 rural villages in Northern Tanzania as an unmarked point pattern.
