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In Palm Beach County, this correlation is violated by over 2,500 votes!
For populations above 25 000, we elected to use the adjusted Chiang II method, which displayed a minor decrease in precision compared with the Bayesian approach but protects against bias if the assumption of spatial correlation is violated, has the advantage of being widely used, and is simpler to communicate to local health authorities.
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If the calculation of any order of the partial correlation coefficient between the variables is violated, then the corresponding pair of variables is regarded as being dependent.
While this constraint may be satisfied by artificial stimuli such as Gaussian white noise, it is violated by the correlations and asymmetries typically found in natural stimuli, and, thus, under certain conditions, reverse correlation RF estimates computed from responses to natural stimuli can be biased.
An analysis of the correlograms indicates that serial correlation exists and -if untreated- the independence assumption of the regression is violated.
If a θ for which inequality (21) is violated exists, the system must have non-local correlations.
This assumption is violated if there are systematic differences in the outcome across villages, leading to correlation in the errors within villages, as well.
assumption is violated.
Theorem 2 is violated.
So Humeanism is violated either way.
This means that Cut is violated.
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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