A quantitative method for correlating observations of decreased apparent diffusion coefficient with elevated cerebral blood perfusion in newborns presenting cerebral ischemic insults.
Hierarchical linear modeling was used because of its utility in accounting for the dependence of repeated, correlated observations within individuals.
"As the model learns, it picks up whatever it associates with increasing light in the nighttime images, compares that to daytime images of the same area, correlates its observations with data obtained from known field-surveyed areas and makes a judgment," Lobell said.
Equation (11) shows that it is possible to compute updated maximum-likelihood estimates of all components of the model state vector, even if they cannot all be measured, provided that the observations are reasonably correlated with the model state.
Both noise-added predicted community enzyme function profiles and metabolic models correlate with the initial observation with a correlation greater than 0.9, even with a noise of ± 0.5 SD to every enzyme function count for every genus.
The in situ observations are similarly correlated with the satellite-model product and the GEOS-Chem simulation, with noteworthy improvements in the slope versus the GEOS-Chem simulation for secondary inorganic ions.
In a setting where the longitudinal observations may be correlated with survival, joint models of longitudinal and survival processes have been increasingly proposed in the past decade to recover information from these potentially informative censorings [ 10- 26].
Interestingly, this observation correlated with a decrease in high-affinity NP8-specific Ig (Fig 6C).
Reinterpreting experimental observations with mathematical models.
On the global scale, simulated AOD correlates with observations at R = 0.63 (p < 0.01) with a relative bias of 5.1% (Supplementary Fig. 13e).
ANPP was closely correlated with NDVI through a linear model.
