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The phrase "higher level of agreement" is correct and usable in written English.
It is typically used in the context of negotiation, to indicate that a deal is almost finalized. For example, "We have reached a higher level of agreement, and just need to work out a few minor details before signing the contract."
Exact(31)
Thus, a higher response level indicates a higher level of agreement that a set of organisms had a common ancestor.
A slightly higher level of agreement was found between the subjective ratings and the minimum hardness objective values than with the average or maximum values.
A higher level of agreement with plasticity was achieved for the spectra of fine fraction soils than for the bulk soil samples.
The General Biology students' average responses showed a higher level of agreement for each question than Poling and Evans' (2004) college-educated adults; for seven of the eight questions, the difference was significant (data not shown).
There is less agreement and insufficient evidence on the associations between WLR and other livelihoods, and a higher level of agreement, but still limited evidence on associations between WLR and credit, technology adoption, and agricultural productivity.
On average, students who received the survey where the questions began with high diversity organism sets (version A) showed a higher level of agreement with all of the statements than those who received the survey where the questions began with low diversity sets (version B).
Similar(29)
In addition, we sought to identify individual characteristics associated with higher levels of agreement between self-reported and administrative data.
"You're always striving to get higher levels of agreement," Brendenberg explained.
Higher levels of agreement indicated higher levels of consensus related to the concepts.
In contrast, some studies found higher levels of agreement, with higher PPVs [ 2, 3, 7– 9].
Higher scores at subscales reflect higher levels of agreement with that generic illness cognition.
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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