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This assumption will hold approximately, according to the theoretical results presented here, when expression level is optimal.
Therefore, we suggest the re-randomisation design only be used in situations where there is reason to believe this assumption will hold.
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For a voluntary movement such as a hand squeeze, the assumption will hold provided each subject complies with the request to perform the movement as instructed.
However, the results of some recent trials indicate that there is no guarantee that the assumption will hold.
Of course, there is no a priori guarantee that these assumptions will hold in all real situations, and they should be discussed and possibly verified or supported by other means.
In many studies, these assumptions will hold true, but including multiple samples in a group will always generate more robust results.
Hinton thinks that those who accept the common element assumption will hold that these 'Neutral Experience Reports' are used to pick out the intrinsic properties of one's experience, which are manifest to one simply in virtue of having the experience, and which the experience could possess whether or not one actually perceives anything.
Intuitively, the further in the future the assumption applies, for example, technology investment cost in 2030, the less certain can the modeller be that such an assumption will hold given the target system may develop in many different ways over decades.
Rather, we assume that the prior assumptions will hold for any biomolecule, and use the molecular structure database solely to estimate the hyperparameters.
Alternatively, if the effects of tumor heterogeneity and normal cell contamination have already been normalized out by the increasingly popular flow cytometric sorting techniques, HHCRF assumptions will hold stronger.
However, in most practical situations this assumption will not hold because of the existence of reverberation, and it is shown in [11] that it leads to degraded tracking results.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com