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The phrase "a much higher coefficient" is correct and usable in written English.
It can be used in contexts involving comparisons, particularly in mathematics, statistics, or scientific discussions where coefficients are being evaluated.
Example: "In this experiment, we observed a much higher coefficient of correlation between the two variables than in previous studies."
Alternatives: "a significantly greater coefficient" or "a considerably higher coefficient".
Exact(4)
Monolith made from H44 showed a much higher coefficient of thermal expansion at 77 K than monolith made from MK and APTES, probably due to difference in composition and measurement condition.
For example, in red deer, male and female annual fitness are significantly negatively genetically correlated (−0.95), but males have a much higher coefficient of additive genetic variance (1.56) compared to females (0.44) [9].
The cup area has a much higher coefficient of variation than the rim area.
The Microarray Quality Control Consortium MAQCC) study highlighted once again that in-house microarrays generate a much higher coefficient of variation for expression signals compared to commercial products [ 6].
Similar(56)
However, the low average counts per isogroup in the 454 data set (5 reads/isogroup) relative to the Illumina data set (863 reads/isogroup) resulted in much higher coefficient of variations in the 454 data set (93%) than in the Illumina data set (20%).
Due to high sensitivity to external stress, GaAs has a much higher piezoresistive coefficient than Si-based piezoresistors.
At concentrations above 0.009 M, Au DENPs had a much higher attenuation coefficient than the parenchyma, allowing very low-dose amounts of Au DENPs to be visible within the parenchyma on the CT image.
Although the reaction behaviors are quite complicated in the near-critical regions, a power-law model combined with the crossover function can be used to fit the experimental data with a much higher regression coefficient.
Especially, compared with the pure Si film, the films with Ni silicide or Al silicide possess a much higher absorption coefficient (104~105 cm−1) at the wavelength above 500 nm, where the absorption of the visible light by the pure Si film is negligible.
For comparison, simulations of free PAGFP diffusion in non-infected cells showed a much higher diffusion coefficient of 18 µm2/s.
For any number |E'| of edges remaining after the filtering, the graph of brain connectivity has a much higher clustering coefficient than the corresponding random graph; this is especially well pronounced for the "Top-weight edges" graph.
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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