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The phrase 'a substantial association' is correct and usable in written English.
You can use it when referring to an important or meaningful link or relationship between two or more things. For example, "Our recent research has found a substantial association between religious beliefs and academic performance."
Exact(35)
Despite a substantial association between professional burnout and depression, the exact nature of the relationship is unclear.
Research pertaining to the relationship between sleep disturbance and daytime cognition as well as behavior reveals a substantial association between these variables.
In conclusion, these data support a substantial association between cocaine use and MI; the temporal trend in cocaine use may increase the occurrence of MI, particularly in younger populations.
A recent meta-analysis of 11 cohort studies including cohorts from Western Europe, US and Korea has shown a substantial association between excess bodyweight and increased risk of liver cancer.
A separate analysis of the association of MDA with disease, divided into 2 age groups with those with disease aged 0 10 years and those aged 11 30 considered separately (Table 3), showed no evidence for association of MDA with disease, independently of clonal complex, in the 0 10 age group, but a substantial association among adolescents and young adults (adjusted odds ratio 3.9; 95% CI 1.1 13.6).
Other short sequences also exist that have a substantial association with mutation rate.
Similar(25)
Although the published studies do not give consistent evidence for an increased leukemia or brain cancer risk, they cannot be counted as substantial evidence against a possible association.
It is noteworthy that regardless of the potential mechanisms, the impact of low birth weight on the risk of type 2 diabetes may be stronger among African Americans, as a recent study found a more substantial association between low birth weight and components of the insulin resistance syndrome among African American children than among white children (45).
Thus, while interference with eating and exercise might be part of the burden of insulin therapy, interference with other aspects of daily living had a more substantial association with insulin omission.
These thresholds were for a weak association (r ≤ 0.30), a moderate to substantial association (r 0.30 0.70), and a strong association (r ≥ 0.70) [ 8].
Our large cohort study revealed a consistent and substantial association between short sleep and obesity among Thai adults.
More suggestions(16)
a substantial fellowship
a sizable association
a considerable association
a substantive association
a substantial membership
a great association
a major association
a huge association
a noticeable association
a sizeable association
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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