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The phrase "a modest deviation of" is correct and usable in written English
It can be used when discussing a small or slight change or difference in a particular context, such as data analysis or research findings. Example: "The study revealed a modest deviation of the results from the expected outcomes, suggesting further investigation is needed."
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Second, using this formalism, we have shown for three mammalian lineages (human, mouse and rat) that the variance in the rates for divergence in different gene triplets is not large enough to greatly overdisperse the f2 metric and can be fit by a model that assumes a modest deviation from a model of gene-invariant transition rate constants.
We found a borderline significant quadratic association for chronic liver disease, but graphing the results showed only a modest deviation from linearity (data not shown).
This approach, although extremely effective in most cases, may still be insensitive to more modest deviations of models from native-like structure.
The meta-analysis of stage 1 discovery genome scans of macronutrient intake showed modest deviation from the expected distribution of P values under the null hypothesis, particularly for protein intake (see Supplemental Figure S1 under "Supplemental data" in the online issue).
Last, the evidence of modest deviation (p = 0.04) from Hardy-Weinberg Equilibrium in the control US White population suggests that this variant may be under selection consistent with our hypothesis of selective pressure on genes involved in human parturition.
On the other hand, the adverse prognostic significance of even modest deviations from the normal range is clear [ 4].
In fact, many of the government's policies have proved so effective that although John Key, an affable ex-banker, manfully strove to invoke Barack Obama by calling for "change," he offered only modest deviations from his opponents' agenda.
A scatter plot between observed and predicted biomass (Figure 5b) suggests that the OOB predictions were in proper scale (regression slopes = ∼1) with modest deviations from the observations.
NBA games exhibit a similar pattern to CFB games, but the crossover point occurs at the end of period 3, rather than at period 2. These modest deviations suggest the presence of still other non-ideal processes governing the scoring dynamics, particularly in NHL games.
While our calculations predict a modest reduction in field deviation by a factor of 9.3 in the case of the shimmed ideal Mandhala, a factor of 28 is obtained in the case of the shimmed imperfect Mandhala.
"It's a modest journey of a modest man that Mr. Arteta smartly doesn't inflate".
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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