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The phrase "a significantly higher amount" is correct and usable in written English.
It can be used when comparing quantities to indicate that one quantity is much greater than another.
Example: "The study found that participants who exercised regularly had a significantly higher amount of energy compared to those who did not."
Alternatives: "a considerably larger quantity" or "a markedly greater sum".
Exact(60)
At the same time that Ford was investing in Jaguar, BMW was investing a "significantly higher" amount in its own brand, Mr. Wright said.
(D) Analysis of saponin insoluble GFP signal shows a significantly higher amount of aggregated GFP for G85R-W32-GFP G85R-W32-GFP G85R-W32-GFPnt.
The InGaAs epilayers retained a significantly higher amount of elastic strain compared to ones grown on nonporous GaAs.
The Klucel film released a significantly higher amount of BMV than the hydrophobic FFS, 42 versus 4 μg/cm2, respectively.
It does this using thin-film solar modules in a glass-foil laminate, and an innovative copper tape wiring system, which allows a significantly higher amount of modules to be interconnected in one string.
And people involved in the final negotiations said House Democrats had blocked an effort by their Senate counterparts to weaken the rule by raising the threshold for disclosure to a significantly higher amount.
HSNC contained a significantly higher amount of keratan sulfate (KS -rich aggrecan (30%) of smaller hydrodynamic size as compared to HNNC.
In the cellular uptake studies, PTX-OPHPC brought about a significantly higher amount of PTX accumulated in human breast adenocarcinoma cell line (MCF-7 cells) compared with Taxol®.
The constructs generated at lower oxygen tensions had a significantly higher amount of glycosaminoglycan per DNA, but still significantly less when compared to native cartilage.
In one single experiment and at 0 m above tassel height, a significantly higher amount of pollen was found over wheat stubble than over grassland.
A significantly higher amount of newly-formed bone was found with the strontium-free glass-ceramic scaffold, and possibly linked to the presence of akermanite at the scaffold surface.
More suggestions(16)
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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