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The phrase "a significant connection of" is correct and usable in written English.
It can be used when discussing the importance or relevance of a relationship or link between two or more entities, concepts, or phenomena.
Example: "The study revealed a significant connection of social media usage and mental health among teenagers."
Alternatives: "a meaningful link between" or "a notable relationship of".
Exact(2)
A significant connection of the risk evaluation with pressure distribution along the pipeline was observed based on the differences in risk distributions between Summer, Autumn and Winter operational modes.
These data from results indicated a significant connection of CCNA1 methylation with poor progression in human malignant tumors among both Caucasian and Asian populations.
Similar(58)
These investigators found a significant connection between the occurrence of the 2 types of damage and concluded that the 2 defects had a common cause.
The main results in the current study showed a higher CCNA1 methylation level in cancer patients than that in normal controls, indicating that the methylation of CCNA1 may have a significant connection with the development of human tumors, including HNSCC, NSCLC, CC, NPC, BCa, and HCC.
As it can see from Table 2, there is a significant connection between the level of nicotine in the breathed air and the urine level of nicotine and cotinine, proving that the secondary smoke can be almost as dangerous as the primary/direct smoking.
Second, we draw a significant connection between the validity of SE, and market structure: under the same conditions that imply SE exist and approximates MPE well, the market becomes fragmented in the limit of many firms.
PA in nature and emotional well-being showed a significant connection in every phase of the analysis, whereas PA in other locations did not.
What Kispersky et al. found, however, is that Granger Causality analysis claimed a significant connection between a pair of cells in the crab pyloric network (a simple, extensively studied pattern generation network), even though this cell pair is known not to communicate directly.
The study may have been underpowered to detect effects, which could explain the lack of a significant connection between student self-reported science outcomes and science grades in fall of seventh grade and the low R2 values in the regressions involving science grades at both time points.
Based on the results of our analysis, we claim that there is a significant connection between lower serum levels of FA and CVDs.
Therefore, we can compute the p-values for the estimated partial correlation coefficients for each pair of phenotypic variables and test for the presence of a significant connection between those variables in the phenotypic network.
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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