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We demonstrated that this assumption can be violated, with increases in predictive ability of GBLUP for traits for which contributions to genetic variability are not evenly distributed across genomic regions.
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The assumption of stationarity may also be violated with prolonged signal recording.
The rule of law and human rights are still being violated with impunity.
This assumption is violated with the existence of redundant members causing either overestimation or underestimation of the estimated performance.
The assumption of a quasi-linear dynamic system is progressively violated with increasing level of excitation.
Tiny Qatar is acutely vulnerable to disruptions in the region; instability and chaos greatly increase the possibility that its sovereignty could be violated or its economic security undermined by its two neighbors with hegemonic aspirations, Iran and Saudi Arabia.
The well-known positive correlation between increased choline levels and the glioma grade appears to be violated by WHO grade I PAs, which exhibit a wide range of choline values, with a marked increase in some cases.
For example with time-to-event outcomes, the assumption of proportional hazards could be violated during the trial.
However, this assumption may be violated.
Therefore, the independence assumption can be violated.
Comparing the type I error rates for data generated with increasing levels of bias shows that while in both cases the model assumptions are violated and type I error increases with increasing bias, the PG model always has a lower type I error rate.
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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