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The phrase "a weaker effect of" is correct and usable in written English.
It can be used when discussing the impact or influence of one factor compared to another, indicating that the effect is less strong or significant.
Example: "The study revealed a weaker effect of the new drug compared to the standard treatment."
Alternatives: "a diminished impact of" or "a less pronounced effect of".
Exact(19)
Thus, this result predicts a weaker effect of a recession at entry on subsequent wages for women than for men.
A weaker effect of particle size on their burn time is predicted for smaller particles, in qualitative agreement with recent experiments.
I also address the endogenous determination of time and location of entry by using an instrumental variable based on the predicted timing of entry and the state of residence at age 14.2 I find a weaker effect of a recession at entry for women than for men.
The latter could have facilitated the maintenance of a higher number of integrated elements observed in the chimpanzee genome, because of a weaker effect of genetic drift, although the wide HPD values caution against over-interpretation.
A signal on chr3p26 was observed but only reached significance when the three population samples were combined to increase the power, which suggests a weaker effect of this QTL.
The positive differential expression of IRAK1 at the same time points is consistent with a weaker effect of hsa-miR-146a/b (de-repression).
Similar(41)
There was only a weak effect of prior training.
For white-collar fathers, there is a weak effect of paternal education on sons.
It is shown that high temperature fatigue crack growth is predominantly loading time dependent with a weak effect of stress cycles.
Earlier studies were restricted to the thermodynamic phase plane and have found a weak effect of the transfer hypothesis on state variables.
A weak effect of economic growth on energy consumption is noted for the lower quantiles of economic growth in China, India, Germany and France, which suggests that energy as an input has less importance at low levels of economic growth.
More suggestions(1)
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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