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The phrase "after the 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: "After the correlation between the two variables was established, the researchers proceeded to analyze the implications of their findings."
Alternatives: "following the relationship between" or "subsequent to the correlation of".
Exact(1)
The uni-dimensional structure of the K6 was confirmed in each subgroup (i.e., each gender, overall, in each age group and at each cycle of the C-NPHS) based on the three goodness of fit indexes (CFL, TLI, RMSEA) only after the correlation between the residuals of item B (nervous) and item C (restless or fidgety) was taken into account and specified in the models.
Similar(59)
The next 4 days after admission the correlation between the parameters mentioned above remains strong but the correlating level of the significance was lower (r < 0.05, for all parameters).
First, the authors selected the overall as the most representative rating after determining the correlation between the multiple ratings, then applied data clustering (fuzzy c-means and k-means) to find the nearest neighbours and, finally, predicted the unknown hotel ratings using the Pearson correlation coefficient.
After correction, the correlation between galectin-3 and PIIINP and MMP-2 remained statistically significant.
After adjustments, the correlation between leptin and hippocampal volume was not significant.
After C3, the correlation between true and estimated PSI and GSI values was greater for PSI than for GSI.
The genetic correlations between all QTTs associated with each trait at P < 0.01 were computed after removing the correlation between these transcripts and the trait.
The genetic correlations between all transcripts significantly associated with each trait were computed after removing the correlation between these transcripts and the trait.
Separate channel analysis was applied to the dataset; a mixed linear model was fitted to data after estimating the correlation between the two channels for the same spot.
We derived a linear regression equation after evaluating the correlation between the final EVLW measured by the PiCCO system and postmortem lung weight.
A consistent decrease in MCD and increase in MCA with age was shown up to age 60, after which the correlation between age and these parameters decreases.
More suggestions(1)
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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