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The phrase "a further comparison" is correct and usable in written English.
It can be used when you want to indicate an additional analysis or evaluation between two or more items or concepts.
Example: "In addition to the previous analysis, a further comparison of the two theories reveals significant differences in their underlying assumptions."
Alternatives: "an additional comparison" or "a subsequent comparison".
Exact(60)
Now consider a further comparison.
A further comparison and analysis is given between the calculating result and measured data.
A further comparison of the model response to the warming is provided in Supplementary Fig. 4. The thermal response (surface and upper troposphere) is similar to those in the observed trends over the ocean, but exhibit some discrepancies over land.
A further comparison of coupling compliance coefficients in compliance matrix was made in order to generalize the influence of off-axis angle on the compliance coefficients.
Because the 2 doses significantly reduced the primary efficacy end point, a further comparison of the 2 treatment strategies was deemed important.
A further comparison is conducted focusing on the hydraulic behaviour of the AFN and DFNs under the effects of geomechanical changes.
A further comparison has been made with the natural frequencies calculated on the assumption of a uniform in-plane stress distribution.
A further comparison involved the estimation of the reproductive potential of sea urchins, quantified as variations of Gonad Index (GI = gonad dry weight/body dry weight × 100) at the scale of shore.
A further comparison between the predicted walk-to-run transition stride frequencies at day 1 and day 2 showed an ICC3,1 of 0.89, which indicated almost perfect relative reliability.
Finally, dispersion modelling was applied in order to allow a further comparison of the resulting odour impacts with other olfactometric data from independent monitoring campaigns on the studied site.
A further comparison was attempted with the correlations pertaining to liquid metals with poor results.
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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