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If we assume equiprobability such that all individuals have equal disease risk we obtain: Given the case-control identifier for individual i, this is the probability of individual j being a case under Goovaert and Jacquez's [ 45] neutral model Type IV (HIV) of spatial independence of risk for a spatially heterogeneous population density.
In addition to the previously mentioned advantages of using scan statistics over other epidemiology methods, scan statistics do not assume that observations are spatially independent, but rather test for spatial randomness, or in other words, spatial independence of the observations.
Striking here, and slightly evocative of Merce Cunningham, is the spatial independence of the work's four dancers — Wendy Whelan, Tyler Angle and Craig Hall (all from New York City Ballet), with the Taiwanese modern-dance virtuoso Fang-Yi Sheu — and the way each gives the impression of exploring movement.
Sculpture designed to stand against a wall or similar background or in a niche may be in the round and freestanding in the sense that it is not attached to its background like a relief; but it does not have the spatial independence of completely freestanding sculpture, and it is not designed to be viewed all around.
Only residuals of the mixed GWR model exhibit spatial independence.
Individual ramets were identified by spatial independence based on vertical stems arising from the same root crown.
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Consequently, for both ICA and CCA, the following hypotheses are made: H1: Spatial statistical independence of sources (i.e., mutual independence of components of s ' m ; H2: Full column rank of the mixing matrix A; H3: Statistical independence between sources and noise (i.e., independence between components of s ' m and components of ν ' m at each instant m).
The fMRI brain image at each time point was treated as a mixture of spatial independent components; sICA extracts the different components, each with its unique time course, maximizing their spatial statistical independence.
Following the previous reasoning, the L function can be used to consider the interaction of two (or more) types of events, to evaluate spatial attraction, independence or repulsion (see [ 29] chapter 4 for details).
The limited study sites available in the forest fragments resulted in closely situated capture and monitoring sites, which could result in spatial non-independence of samples.
Suitability for agriculture is significantly related to log-transformed population density (N = 2000; adjusted for spatial non-independence: Fadj = 26.6, dfadj = 52.0, p<0.001) and explains 33.8% of data variability.
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