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The phrase "ability is associated with" is correct and usable in written English.
It can be used when discussing the relationship between a person's abilities and certain outcomes, traits, or contexts.
Example: "In many studies, it has been shown that ability is associated with higher levels of job performance."
Alternatives: "capability is linked to" or "skill is related to".
Exact(31)
Whether cognitive ability is associated with risk of venous thromboembolism (VTE) is unknown.
Yet little is known about parental ability to estimate the sugar content of foods and beverages and how this ability is associated with children's body mass index (BMI).
The data indicate that high object-processing ability is associated with more efficient use of visual-object resources, resulting in less neural activity in the object-processing pathway.
Birds in the infraorder Corvida [1] (ravens, jays, bowerbirds) are renowned for their cognitive abilities [2 4], which include advanced problem solving with spatial inference [4 8], tool use and complex constructions [7 10], and bowerbird cognitive ability is associated with mating success [11].
Figures 6 and 7 suggest that weight-bearing ability is associated with pre-operative health as reported previously.
The problem is not that traits more frequently attributed to women are undesirable, Dutt says, but leadership ability is associated with excelling in science, and women "don't get described in the same way that pertains to scientific leadership".
Similar(29)
High cognitive ability was associated with good performance with both texts, whereas low cognitive ability was associated with poor performance on low cohesion text.
We find that longitudinal increases in reading ability are associated with higher initial connectivity in the dorsal stream between fusiform and inferior parietal cortex, implicated in phonological decoding, followed by decreases in connectivity in this stream over time.
We estimated direct and indirect pathways whereby factors such as the age at which a respondent considers a youth responsible for his/her actions and adolescents' cognitive ability were associated with overall attitudes towards punishment.
A second ToM model using DSM-5 ASD and verbal IQ supported ToM development differences: Greater verbal ability was associated with increased ToM in ASD but not in typical development.
Specifically, when encouragement of participation was high, increased networking ability was associated with increased later income.
More suggestions(11)
determination is associated with
qualification is associated with
competence is associated with
comprehension is associated with
availability is associated with
difficulty is associated with
success is associated with
leadership is associated with
fitness is associated with
opportunities is associated with
abilities is associated with
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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