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We also found a probability (P > 0.5) of the gating+ value being more accurate than the gated value in 98% of the voxels.
Repeating this process 10 times, we found a probability of ∼0.0005 that a positive correlation would be absent.
The meta-analysis of studies by Sangsubhan et al[ 24], Rhodes et al[ 25], and Konstadoulakis et al[ 26] found a probability of retained CBD stones after undergoing ERCP at 0.128 (SE = 0.0358).
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"We can always find a probability distribution to slop over anything".
Gerfin and Lechner (2002) find a probability equal to approximately 10% for Switzerland.
The probabilistic satisfiability (PSAT) problem is to determine whether it is possible to find a probability measure over truth assignments such that all assessments are satisfied [13].
Jaccard's coefficient [6] chooses a randomly selected feature and finds a probability of its presence in a pair of nodes normalized by its presence in the Union neighborhood of those nodes.
Our objective is to find a probability function: p ( i n c i s i, t j = 1 | X s i, t j ) (1). and a decision function: δ s i, t j = δ [ p ( i n c i s i, t j = 1 | X s i, t j ) ] : [ 0, 1 ] → { 0, 1 } (2).
This approach finds a probability distribution of maximum entropy using a set of environmental variables to estimate a species' ecological niche using the defined Maxent probability distribution.
An analogy to the diagnostic setting states that "it is not possible to find a probability of having a disease based on tests results without specifying the disease's prevalence" [37].
Statistically, the best we can do is to use all these responses, which may individually be noisy, to find a probability distribution over physical locations that can then inform subsequent behavioral decisions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com