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The phrase "analysis of the increase" is correct and usable in written English.
It can be used when discussing the examination or evaluation of a rise in a particular metric, such as sales, population, or any other measurable factor.
Example: "The analysis of the increase in sales over the last quarter revealed several key trends that could inform our marketing strategy."
Alternatives: "examination of the rise" or "evaluation of the growth".
Exact(8)
A large-scale analysis of the increase in plant and vertebrate extinctions in these hotspots due to global warming found that the Tropical Andes were especially vulnerable (Malcolm et al. 2006), although the response of individual species was not assessed.
This is substantiated by statistical analysis of the increase in the total island volume as a function of Ge coverage, which indicates that at 5.2 ML coverage already more than half a monolayer Ge is incorporated within the islands, assuming a Si/Ge intermixing of x Ge ~ 30% within the domes as indicated by previous work (see e.g. [24]).
Analysis of the increase or decrease in proteins was performed by comparing each sample with the control.
Analysis of the increase in type 1 endometrial cancer by socioeconomic distribution revealed that this increase in incidence rates was evenly distributed among all socioeconomic quintiles.
Visual analysis of the increase in uptake showed that these changes were related to the radiation portals and the dose given to the parotid glands (Fig. 3).
Analysis of the increase in percentage across the different expression groups showed that the expression of p-ERK and PG was significantly correlated (p = 0.008) (Table 2).
Similar(52)
Analysis of the increasing wealth of metagenomic data collected from diverse environments can lead to the discovery of novel branches on the tree of life.
Newspapers propagate a uniformly jingoistic analysis of the increasing likelihood of armed conflict.They are not making it up.
So Mr. Zingales suggests a change to the nation's antitrust efforts that would include an analysis of the increased political muscle that results when an industry consolidates.
That $300 is roughly equal to the additional earnings that minimum wage workers would have gained in most of the 10 states boosting their wage floors, according to an analysis of the increases by the National Employment Law Project (NELP), an advocacy group for low-wage workers.
Similarly, analysis of the increased intensity of sleep that occurs during infection, as identified through an elevation in slow wave activity [ 22], could reveal an additional role of the 'quality' of sleep.
More suggestions(2)
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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