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The phrase "applied for the comparison" is correct and usable in written English.
It can be used when discussing a method or approach that has been utilized to draw comparisons between different subjects or items.
Example: "The statistical methods applied for the comparison of the two groups yielded significant results."
Alternatives: "used for the comparison" or "employed for the comparison".
Exact(37)
Oneway ANOVA and post-hoc tests were applied for the comparison of mean cord length between the four groups of parity.
The second order invariants of spherical harmonics for the geometrical characterization of clusters in disordered systems is applied for the comparison of computer simulated configurations of molten and glassy rubidium bromide.
An expanded system boundary was applied for the comparison of different by-products of each scenario.
Optimized-voxel based morphometry method was applied for the comparison of brain volumes between CADASIL patients and controls.
The t test for independent samples was applied for the comparison between the sexes, while the comparison between T0 and T1 was carried out with the t test for paired sample.
It has to be considered that similar emission rates in TS-2 and OECD 313 experiments mean higher concentrations of these components in the eluates from the OECD 313 experiments, since the standardised L/A ratios applied for the comparison were 8 and 2.5 cm3/cm2, respectively (see Tables 1 and 2).
Similar(23)
All data were tested as for the normality; therefore, a parametric test was applied for the comparisons of the groups.
A probabilistic estimator, e.g., maximum likelihood estimator, is typically applied for the comparisons to the possible key templates where the largest value is said to be the targeted key.
General linear model was applied for the comparisons between non-MetS and MetS (Table S1).
The Bonferroni correction was applied for the comparisons of pair-wise groups.
For the assessment of pruritus, non-parametric Mann–Whitney tests were applied for the comparisons of groups at various assessment time points and the percentage change in pruritus relative to untreated levels was calculated.
More suggestions(16)
implemented for the comparison
applied for the relative
apply for the comparison
applied for the work
applied for the credit
applied for the graduate
applied for the government
applied for the marriage
applied for the pilot
applied for the card
applied for the job
applied for the privilege
applied for the program
applied for the hunt
applied for the residency
applied for the citizenship
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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