Poisson null models

The null hypothesis of a Poisson disease rate is usually a good representation of randomly distributed non-infectious rare diseases (Waller and Jacquez 1995). It is used in many cluster detection methods in ClusterSeer, including Besag and Newell's method. A Poisson function can be described by one parameter, lambda ( lambda.gif ), the mean and variance of the distribution. Within ClusterSeer, lambda is the average or expected case count, calculated from the average or expected disease frequency multiplied by the population-at-risk.

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Poisson point processes

Poisson point process models are used for null and alternative spatial models in Diggle's Method and Ripley's K-function. Poisson point processes produce sets of points with a given intensity ( lambda.gif , the mean and variance of the Poisson distribution), an expected number of points or cases per unit area.

See Also