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First of all, our goal is that the residuals that violate the hypothesis of equality in variances should have less effect on the estimates of the coefficients of the regression model, so we should consider modifying these points to have equal variances.
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This modification does not violate the RI hypothesis.
The find would also violate the leading hypothesis of how and where planets form.
Activation of the neurotransmitter is detected statistically when the activation parameter is shown to violate the null hypothesis.
One of the most intriguing aspects of this analysis is the general finding that most association tests do well on these datasets, despite the fact we included common nonsynonymous SNVs in this analysis, which is expected to violate the underlying hypothesis of many burden tests.
In particular, such problems either have a concave cost function, contain a fixed cost, or have a control-state interaction, which have in common that they each violate the concavity hypotheses used in the sufficiency theorem.
Eight cultural variables violated the null hypothesis by being strongly associated with geographical region (p < 0.001).
Each time point was treated as a separate "biological condition", in essence identifying genes violating the null hypothesis of equal mean across all conditions.
This approach is particularly useful for datasets violating the basic hypothesis of equal expressions, for instance because sub-proteomes are differentially represented in the samples, or because samples are affected by nonsystematic contamination.
There was no permanently sterile caste, and as such this appears to violate the initial premise of the monogamy hypothesis.
In contrast, strongly mis-tuned bounds associated with a large curvature (points far away from either axis in Figure 3B) would violate this hypothesis.
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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