The hierarchical model of binomial distribution is conditioned upon and , and related to the unconditional model via and where
It is also used to derive the model of conditional distribution with .
Consider the grid of unit square spaced according to 's and 's determining the respective horizontal and vertical intervals. Then points are distributed uniformly on each -rectangle (cell) of width and hights . The result is a Poisson spatial process with each cell intensity
The Poisson intensity is proportional to the relative report rate, and can be averaged over a different (and possibly coarse) grid, which enables us to visualize the intensity in multiple resolutions. The highest intensity is represented by Red (hue value 0.0), and the lowest by the hue parameter (red=0.0, yellow=0.16, green=0.33, cyan=0.5, blue=0.66 and magenta=0.84). The horizontal grid of the intensity map indicates individual drugs ranked and spaced according to DRUG.COUNT, and the vertical grid reaction events ranked and spaced according to REAC.COUNT.