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The phrase "allowing for correlation between" is correct and usable in written English.
It can be used when discussing the relationship or connection between two or more variables or factors in a study or analysis.
Example: "The research was conducted with a methodology allowing for correlation between the variables to ensure accurate results."
Alternatives: "considering the correlation between" or "accounting for the correlation between".
Exact(6)
To account for selectivity in the level of unobserved characteristics, we specify unobserved heterogeneity specific to each transition, thereby allowing for correlation between the different states of the individual's history due to his time-invariant unobserved characteristics.
The fit is by generalized least squares, allowing for correlation between the four duplicated spots [ 36].
Using a random-effects approach, the model jointly synthesises sensitivity and specificity by allowing for correlation between them across studies.
Oblique rotation (Promax) was used to simplify and clarify the data structure, allowing for correlation between factors.
Table 3 shows the test statistics from hierarchical analysis allowing for correlation between error terms for structural effect by stratification variables (Teaching, Magnet, and their interactions).
For comparison across schemes, allowing for correlation between them, we calculated differences between the C statistics for each paired comparison from every bootstrapped sample.
Similar(54)
It was assumed that if participants' reported emotional responses were reliable over time, similar emotional responses would be experienced in the scanner, allowing for correlations between behavioral and physiological data.
We therefore adopted an empirical simulation approach based on 10 000 permutations, thus allowing for correlations between mtDNA variants.
The model was built with a hierarchy of patients clustered within hospitals (level 2), so allowing for correlations between patient outcomes.
"Let's build a system that allows for correlation between machine intelligence and human intelligence," she said.
Use of software spinal level labelling saved to picture archiving and communication system (PACS) images allows for correlation between the reported pathologic level and patients' anatomy.
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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