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The phrase "for comparison between" is correct and usable in written English.
You can use it when contrasting two or more items. For example, "We conducted a survey to gather data for comparison between the two competing brands."
Exact(60)
Confidence intervals of 95% were calculated by REST 2009 and used for comparison between different NFs.
For comparison between young and elderly data, an unpaired two-tailed Mann Whitney test was performed.
All microcosm data were normalized to initial conditions to allow for comparison between experiments and microcosms.
Statistical analysis was performed using Student t-test for comparison between 2 groups.
For comparison between two groups two-tailed Student's t-test was used at a designated significance level of P < 0.05.
So there was a good basis for comparison between similar households living just above and below.
3only for comparison between frovatriptan and rizatriptan.
Student's t test was used for comparison between two treatments.
2p < 0.05 for comparison between frovatriptan and rizatriptan.
*P < 0.05 for comparison between conditions in bold.
Student t- test was used for comparison between two means.
More suggestions(15)
for contrast between
for comparability between
for relation between
for results between
for are between
for categories between
for parallels between
for data between
for trends between
for standards between
for purposes of comparison between
for when compared
for be compared
for comparative purposes between
for comparing the
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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