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They are said to express the strength of the evidence presented by the data, or the comparative degree of support that the data give to a hypothesis.
To justify the use of extreme value models it is of critical importance either to verify that the assumptions made by the models are satisfied by the data or to examine the effect violating model assumptions.
Criteria for existence of solutions are given (1) in terms of positivity of a certain kernel completely determined by the data, or, more generally, (2) by the existence of a positive-kernel solution of a certain generalized Stein equation completely determined by the data.
The Bayesian model class selection approach imposes a penalisation against overly complex model candidates and admits a selection of the most plausible HST-model according to the maximum value of model evidence provided by the data or relative plausibility within a set of model class candidates.
By having a panel, with several countries, unobserved characteristics peculiar to the countries can be eliminated, which for the manufacturing case of interest may refer to domestic policies not captured by the data or to the attitude of governments regarding domestic manufacturing, and which would have differential effects over manufacturing performance of the countries.
Minor points: There are a few statements that are not directly supported by the data or the literature cited.
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SNR calculated as the ratio of the mean to the standard deviation of the voxel value in a volume of interest can be improved by smoothing the data or by rebinning the data into larger voxels, but this will reduce the spatial resolution and will not necessarily improve the detectability of low-contrast lesions.
There are also statistical methods that refrain from the use of a particular model, by focusing exclusively on the data or by generalizing over all possible models.
The core idea is elegantly simple: Quantitatively calculate how well different models explain the data (judged either by the likelihood of the data or by the posterior probability of a model), and compare the models to each other.
Here we investigate whether these correlations are caused by shortcomings of the data or the model.
These data cannot be decrypted on the server by the staff at the data center but can be decrypted by the person entering the data or their delegate.
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CEO of Professional Science Editing for Scientists @ prosciediting.com