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If these quantities are constrained by only one modality, the conditional precision of their estimates will not be increased by adding another.
Fusing all modalities increases the conditional precision of the underlying source estimates relative to that obtained by inverting magnetometers, gradiometers, or EEG alone (Henson et al. 2009).
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These conditional precisions are important quantities and control the relative influence of bottom-up sensory information relative to top-down predictions.
Through a systematic evaluation of three design problems--conditional membership, precision of obligations, and enforcement methods--we elaborate an alternative way to conceive of regime design.
Functionally, when considered in the context of formal theories of hierarchical neuronal computations, this abnormal gain control translates into an abnormally high precision or conditional confidence in probabilistic representations at that level in the hierarchy.
The conditional posterior of the precision of the residual genetic effects of trait j is π (ψ a j − 1 | e a j ) ∼ Ga (a a + r 2, b a + 1 2 e a j T e a j ).
That is, ui ~CARNormal(W, τ u = 1 σ u 2 ), with W the matrix representing the neighborhood structure (here two areas are assumed as neighbors if they share a common boundary) and τu and σ u 2 representing the precision and the conditional spatial variability respectively.
The conditional posterior of the residual precision of model residuals for trait j is π (ψ e j − 1 | − ) ∼ Ga (a r + n 2, b r + 1 2 ∑ i = 1 n (y i j − x (i ) b j − f (i ) λ j T − z (i ) e a j ) 2 ).
Here we exclusively utilize the general distress factor, as this single measure revealed the highest measurement precision (i.e. lowest conditional standard error of measurement), and all items except two loaded well on it34.
We conducted both unmatched and matched analyses (unconditional/conditional logistic regression), but we only present unconditional results since they were in close agreement with the conditional analyses, but had a higher precision.
The conditional posterior of the factor loading precision parameter φ ij for trait i on factor j is π (φ i j | τ j, λ i j ) ∼ Ga (ν + 1 2, ν + τ j λ i j 2 2 ).
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