A cross-product statistic is used to demonstrate that spatial interaction models are a special case of a general model of spatial autocorrelation. A series of traditional measures of spatial autocorrelation is shown to have a cross-product form. Several interaction models are shown to have a similar form. A general spatial statistic is developed which indicates that the relationship between the...

The Bernoulli spatial scan statistic is used to detect localised clusters in binary labelled point data, such as that used in spatial or spatio-temporal case/control studies. We test the inferential capability of a recently developed beta-Bernoulli spatial scan statistic, which adds a beta prior to the original statistic. This pilot study, which includes two test scenarios with 6,000 data sets ...

Bootstrap is the standard method in the spatial scan test. However, because the spatial scan statistic lacks theoretical properties, its development and connection to mainstream statistics has been limited. Using the methods of empirical processes with a few weak regularity conditions, the limiting distribution of the spatial scan statistic, which can provide a theoretical basis for the spatial...

We have developed a scan statistic for detecting clusters of functional data indexed in space. The method is based on distribution-free spatial univariate data. In simulation study, it always performed better than nonparametric statistic. proposed can detect smaller the method. Lastly, we used our to search abnormal unemployment rates France over period 1998–2013 (divided into quarters).

Background: The Centers for Disease Control and Prevention reported that deaths from chronic respiratory diseases (CRDs) in Thailand increased by almost 13% in 2010, along with an increased burden related to the disease. Evaluating the geographical heterogeneity of CRDs is important for surveillance. Previous studies have indicated that socioeconomic status has an effect on disease, and that th...

BACKGROUND The spatial scan statistic is widely used by public health professionals in the detection of spatial clusters in inhomogeneous point process. The most popular version of the spatial scan statistic uses a circular-shaped scanning window. Several other variants, using other parametric or non-parametric shapes, are also available. However, none of them offer information about the uncert...

Spatial scan statistics are widely used in various fields. The performance of these statistics is influenced by parameters, such as maximum spatial cluster size, and can be improved by parameter selection using performance measures. Current performance measures are based on the presence of clusters and are thus inapplicable to data sets without known clusters. In this work, we propose a novel o...