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The phrase "without any probability" is correct and usable in written English.
It can be used when discussing situations or outcomes that are certain or have no chance of occurring. Example: "The results of the experiment were conclusive, indicating that the hypothesis was proven true without any probability of error."
Exact(1)
In the admixture analysis, all individuals were unambiguously assigned to their respective group without any probability of being misplaced.
Similar(59)
The method is based on solving an encapsulation problem, without using any probability information, in a hypercube that encapsulates the unknown epistemic probability space.
So we are able to give an adequate characterisation of the physical situation without appeal to any probabilities fit to play the chance role.
Simar and Wilson [ 11] challenge this approach by demonstrating that bias may arise, since the efficiency score is a point estimate without a probability distribution around it as required by the Tobit methodology or any other parametric regression technique.
A labeled initiator links to another agent with the same label with probability (p^{L}_{s}), to an agent with a different label with probability (p^{L}_{d}), or to an agent without any label with probability (p^{L}_{n}).
This is why a probability sample is needed; without a probability sample, the sampling distribution cannot be determined and an interval estimate of a parameter cannot be constructed.
There was little difference between the MLH runs with and without prior probabilities, probably due to the relatively large number of classes and the resultant small probability values.
Without any guidance, their probability of encountering a krill and knowing what to do with it is very low.
This thus implies that Algorithm 5 (Algorithm 4 as well) skips a step without any action with probability 1 − ∑ i ∈ I e γ i / (n − r + 2 ).
Therefore, without assuming any prior probability for association, the Bonferroni-corrected significance threshold would be 1.6E-03 1.6E-03
Therefore, without assuming any prior probability for association in the anti-CCP negative RA subset, which is a stringent assumption, the Bonferroni-corrected significance threshold would be 1.6E-03.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com