The phrase "associated with a substantially" is correct and usable in written English.
It can be used in contexts where you are discussing a relationship or connection with something that is significant or considerable in degree.
Example: "The findings are associated with a substantially increased risk of developing health issues."
Alternatives: "linked to a significantly" or "related to a considerably".
Gestational diabetes may be associated with a substantially increased risk for pancreatic cancer, a new study has found.
"I think that's the level that above which it appears to be associated with a substantially increased risk," he said.
Using the latest material and increasing femoral head diameter were associated with a substantially reduced risk of fracture.
A score of approximately ≥80 on the FIM was associated with a substantially increased level of participation in home and community activities.
Effective doses of fluoroscopic or angiographic IR procedures especially when concerning the trunk as in embolisations or transjugular portosystemic shunt implantations can be associated with a substantially increased likelihood of clinically significant patient doses [28].
Although injury researchers have produced compelling epidemiologic evidence that gun ownership is associated with a substantially increased risk of suicide and homicide, there is lingering doubt about the causality of the relationship.
Our data indicate that exposure to as little as one day of high workload/staffing ratios is associated with a substantially increased risk of death in critically ill patients.
This comparison showed that, the use of polyurea suspension pads is associated with a substantially greater reduction in the peak loading experienced by the brain relative to that observed in the case of the conventional foam.
High concentrations of adiponectin were associated with a substantially reduced relative risk of type 2 diabetes after adjustment for age, sex, waist-to-hip ratio, body-mass index, smoking, exercise, alcohol consumption, education, and glycosylated haemoglobin A1c (odds ratio 4th vs 1st quartile 0·3 [95% CI 0·2 0·7], p=0·0051).
Overall, TS is associated with a substantially increased risk of ASD [114].
Regardless of glycemic control, diabetes is associated with a substantially increased risk for medical glaucoma treatment.
