title: Identifying space-time disease clusters.
abstract: A cluster of cases of disease that are close both in space and in time is suggestive of an infectious aetiology. We present statistical tests for space-time clusters of disease for the two situations where the population at risk is either known or unknown as a function of space and time. The tests are derived using standard statistical methodology from a simple mathematical model of disease spread, i.e. they are derived as score tests from a likelihood function in which the infection process is modelled as a point process whose intensity becomes greater near an infector. A problem for such tests is that, when investigating whether or not a disease may be of infectious origin, the space and time distances characterising closeness to an infection are very likely to be unknown. The proposed methodology copes with this difficulty in a statistically acceptable way, without requiring multiple tests whose interpretation would be doubtful. When the underlying population size is unknown, the test reduces to a modification of the Knox test. An example of its use is given as epidemiology, risk, space-time cluster, likelihood and Knox test.
authors.affiliation: Centre for Operational Research and Applied Statistics, School of Accounting, Economics and Management Science, University of Salford, M5 4WT, UK. r.d.baker@salford.ac.uk
authors.forename: Rose D
authors.initials: RD
authors.lastname: Baker
mesh_terms: D000818:Animals; D003141:Communicable Diseases / Q000453:epidemiology* / Q000209:etiology; D003710:Demography; D006801:Humans; D013029:Space-Time Clustering