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The phrase "a weaker tendency in" is correct and usable in written English.
It can be used when discussing a lesser inclination or trend observed in a particular context or subject matter.
Example: "There is a weaker tendency in the data to support the hypothesis than initially expected."
Alternatives: "a lesser inclination towards" or "a diminished trend in".
Exact(1)
We found a weaker tendency in the same direction for methylmercury exposure, but in this case only for prenatal exposure.
Similar(59)
There was no significant difference in transmission frequency when the entire sample was analyzed (p = 0.1460), displaying a weak tendency in the expected direction (Table 1).
Melanophores in shd mutants show a weaker tendency to aggregate into a stripe region close to X0, compared with rse mutants (Fig. 2B,C).
Glu residues are also less frequently buried in the core than Asp because they have a weaker tendency to bond to the local main chain.
Cu has a weaker tendency to dewet leading to a less-complicated grain structure.
In item 3b there was a weak tendency and in item 4b a more consistent finding that private sector GPs ranked the quality and usefulness of industry-provided drug information higher as compared to GPs in the public sector (Table 2).
There was a highly significant interaction between OPV at birth and sex; missing OPV was associated with a weak tendency for increased mortality in girls, but significantly decreased mortality in boys (Table 2).
Not receiving OPV at birth was associated with a weak tendency for increased mortality in girls (1.14 (0.70–1.89)) but significantly decreased mortality in boys (0.35 (0.35–0.35)).
In the current study, no volume effect was found between the hospital volume and effectiveness in terms of mortality, and there was only a weak tendency for positive association in terms of maintainability.
There was a weak tendency for units of intermediate in-degree to have higher MRSA prevalence, but the chance to find a MRSA positive patient in a high-degree unit was almost as high.
The asymptomatic proportion showed a weak tendency to be higher in females than males (p = 0.13).
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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