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"for the comparison between" is correct and usable in written English.
You can use it when you need to compare two or more things. For example, "This report features data to support our conclusion, including a detailed analysis for the comparison between our competitors' sales trends."
Exact(60)
Table 1: Number of differentially expressed genes for the comparison between ADT and CRM.
b, Cross-population selection index metrics for the comparison between WEW and DEW.
For the comparison between the two regimens, there is no significant difference (RR 1.01, 95% CI 0.86 to 1.19).
For the comparison between Upper and Lower Seconds, the corresponding figures are ten, seven, and four.
For the comparison between these two graphical systems, see Shin 2002, pp. 48 53.
Mann–Whitney U test was also used for the comparison between two independent continuous variables.
As aforementioned, dynamic time warping is a common way for the comparison between time series.
Nine peptides were synthesized for the comparison between the estimated and the experimentally determined IC50.
n = 34, *p < 0.05 for the comparison between areas under the curves.
The resulting subset of 438 compounds was used for the comparison between SureChEMBL and IBM SIIP.
Table 3 illustrates the results for the comparison between the Control and Placebo cohorts.
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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